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Title Instructor Location Time All taxonomy terms Description Section Description Cross Listings Fulfills Registration Notes Syllabus Syllabus URL Course Syllabus URL
AMCS 514-401 ADVANCED LINEAR ALGEBRA DONAGI, RON TR 1200PM-0130PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products: Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra.
    SECTION ACTIVITY CO-REQUISITE REQUIRED; UNDERGRADUATES NEED PERMISSION
    AMCS 514-402 LABORATORY M 0630PM-0830PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products: Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra.
      SECTION ACTIVITY CO-REQUISITE REQUIRED; UNDERGRADUATES NEED PERMISSION
      AMCS 514-403 LABORATORY W 0630PM-0830PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products: Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra.
        SECTION ACTIVITY CO-REQUISITE REQUIRED; UNDERGRADUATES NEED PERMISSION
        AMCS 514-404 LABORATORY M 0630PM-0830PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products: Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra.
          SECTION ACTIVITY CO-REQUISITE REQUIRED; UNDERGRADUATES NEED PERMISSION
          AMCS 514-405 LABORATORY W 0630PM-0830PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products: Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra.
            SECTION ACTIVITY CO-REQUISITE REQUIRED; UNDERGRADUATES NEED PERMISSION
            AMCS 525-401 PARTIAL DIFFERENTIAL EQUATIONS DETURCK, DENNIS TR 0130PM-0300PM Method of separation of variables will be applied to solve the wave, heat, and Laplace equations. In addition, one or more of the following topics will be covered: qualitative properties of solutions of various equations (characteristics, maximum principles, uniqueness theorems), Laplace and Fourier transform methods, and approximation techniques.
              AMCS 603-001 ALGEBRAIC TECHIQUES II EPSTEIN, CHARLES TR 1200PM-0130PM We begin with an introduction to group theory. The emphasis is on groups as symetries and transformations of space. After an introduction to abstract groups, we turn our attention to compact Lie groups, in particular SO(3), and their representations. We explore the connections between orthogonal polynomials, classical transcendental functions and group representations. This unit is completed with a discussion of finite groups and their applications in coding theory.
                AMCS 609-401 ANALYSIS II HYND, RYAN TR 0130PM-0300PM Real analysis: general measure theory, outer measures and Cartheodory construction, Hausdorff measures, Radon-Nikodym theorem, Fubini's theorem, Hilbert space and L2-theory of the Fourier transform. Functional analysis: normed linear spaces, convexity, the Hahn-Banach theorem, duality for Banach spaces, weak convergence, bounded linear operators, Baire category theorem, uniform boundedness principle, open mapping theorem, closed graph theorem, compact operators, Fredholm theory, interpolation theorems, Lp-theory for the Fourier transform.
                  MATH 103-001 INTRODUCTION TO CALCULUS MWF 1100AM-1200PM Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curve-sketching, approximations; integrals and the fundamental theorem of calculus.
                    General Requirement in Formal Reasoning & Analysis SECTION ACTIVITY CO-REQUISITE REQUIRED; STRUCTURED,ACTIVE,IN-CLASS LEARNING; FORMAL REASONING & ANALYSIS; FORMAL REASONING COURSE; FORMAL REASONING
                    MATH 103-101 LABORATORY R 0600PM-0800PM Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curve-sketching, approximations; integrals and the fundamental theorem of calculus.
                      General Requirement in Formal Reasoning & Analysis SECTION ACTIVITY CO-REQUISITE REQUIRED; PERMISSION NEEDED FROM DEPARTMENT
                      MATH 103-201 INTRODUCTION TO CALCULUS T 0830AM-0930AM Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curve-sketching, approximations; integrals and the fundamental theorem of calculus.
                        General Requirement in Formal Reasoning & Analysis SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                        MATH 103-202 INTRODUCTION TO CALCULUS T 0930AM-1030AM Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curve-sketching, approximations; integrals and the fundamental theorem of calculus.
                          General Requirement in Formal Reasoning & Analysis SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                          MATH 103-203 INTRODUCTION TO CALCULUS R 0830AM-0930AM Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curve-sketching, approximations; integrals and the fundamental theorem of calculus.
                            General Requirement in Formal Reasoning & Analysis SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                            MATH 103-204 INTRODUCTION TO CALCULUS R 0930AM-1030AM Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curve-sketching, approximations; integrals and the fundamental theorem of calculus.
                              General Requirement in Formal Reasoning & Analysis SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                              MATH 103-601 INTRO TO CALCULUS BASU, SUKALPA MW 0630PM-0830PM Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curve-sketching, approximations; integrals and the fundamental theorem of calculus.
                                General Requirement in Formal Reasoning & Analysis FORMAL REASONING & ANALYSIS; FORMAL REASONING COURSE; FORMAL REASONING
                                MATH 104-001 CALCULUS I TR 0900AM-1030AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                  SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                  MATH 104-002 CALCULUS I RIMMER, NAKIA MWF 1000AM-1100AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                    SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                    MATH 104-003 CALCULUS I TR 1200PM-0130PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                      SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                      MATH 104-004 CALCULUS I FRANKEL, BRETT MWF 0900AM-1000AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                        SECTION ACTIVITY CO-REQUISITE REQUIRED
                                        MATH 104-201 CALCULUS I M 0800AM-0900AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                          SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                          MATH 104-202 CALCULUS I M 0900AM-1000AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                            SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                            MATH 104-203 CALCULUS I W 0800AM-0900AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                              SECTION ACTIVITY CO-REQUISITE REQUIRED
                                              MATH 104-204 CALCULUS I W 0900AM-1000AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                                SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                MATH 104-211 CALCULUS I T 0830AM-0930AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                                  SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                  MATH 104-212 CALCULUS I T 0930AM-1030AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                                    SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                    MATH 104-213 CALCULUS I R 0830AM-0930AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                                      SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                      MATH 104-214 CALCULUS I R 0930AM-1030AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                                        SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                        MATH 104-215 CALCULUS I T 0830AM-0930AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                                          SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                          MATH 104-216 CALCULUS I T 0930AM-1030AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                                            SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                            MATH 104-217 CALCULUS I R 0830AM-0930AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                                              SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                              MATH 104-218 CALCULUS I R 0930AM-1030AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                                                SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                MATH 104-219 CALCULUS I R 0930AM-1030AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                                                  SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                  MATH 104-221 CALCULUS I W 0800AM-0900AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                                                    SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                    MATH 104-222 CALCULUS I W 0900AM-1000AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                                                      SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                      MATH 104-223 CALCULUS I F 0800AM-0900AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                                                        SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                        MATH 104-224 CALCULUS I F 0900AM-1000AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                                                          SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                          MATH 104-231 CALCULUS I T 0830AM-0930AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                                                            SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                            MATH 104-232 CALCULUS I T 0930AM-1030AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                                                              SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                              MATH 104-233 CALCULUS I R 0830AM-0930AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                                                                SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                MATH 104-234 CALCULUS I R 0930AM-1030AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                                                                  SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                  MATH 104-601 CALCULUS I MW 0430PM-0600PM
                                                                                  F 0430PM-0530PM
                                                                                  Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.
                                                                                    FORMAL REASONING COURSE; FORMAL REASONING
                                                                                    MATH 114-001 CALCULUS II TR 0900AM-1030AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                      SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                      MATH 114-002 CALCULUS II GHRIST, ROBERT TR 1200PM-0130PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                        SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                        MATH 114-003 CALCULUS II RIMMER, NAKIA MWF 0100PM-0200PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                          SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                          MATH 114-004 CALCULUS II COOPER, ANDREW TR 0130PM-0300PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                            SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                            MATH 114-005 CALCULUS II MWF 0200PM-0300PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                              SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                              MATH 114-201 CALCULUS II M 0800AM-0900AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                MATH 114-202 CALCULUS II M 0900AM-1000AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                  SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                  MATH 114-203 CALCULUS II W 0800AM-0900AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                    SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                    MATH 114-204 CALCULUS II W 0900AM-1000AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                      SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                      MATH 114-205 CALCULUS II M 0800AM-0900AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                        SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                        MATH 114-206 CALCULUS II M 0900AM-1000AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                          SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                          MATH 114-211 CALCULUS II M 0800AM-0900AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                            SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                            MATH 114-212 CALCULUS II M 0900AM-1000AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                              SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                              MATH 114-213 CALCULUS II F 0800AM-0900AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                MATH 114-214 CALCULUS II F 0900AM-1000AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                  SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                  MATH 114-215 CALCULUS II M 0800AM-0900AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                    SECTION ACTIVITY CO-REQUISITE REQUIRED; ENGINEERING STUDENTS ONLY; FORMAL REASONING
                                                                                                                    MATH 114-216 CALCULUS II M 0900AM-1000AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                      SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                      MATH 114-217 CALCULUS II F 0800AM-0900AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                        SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                        MATH 114-218 CALCULUS II F 0900AM-1000AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                          SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                          MATH 114-221 CALCULUS II T 0830AM-0930AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                            SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                            MATH 114-222 CALCULUS II T 0930AM-1030AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                              SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                              MATH 114-223 CALCULUS II R 0830AM-0930AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                                SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                MATH 114-224 CALCULUS II R 0930AM-1030AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                                  SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                  MATH 114-225 CALCULUS II T 0830AM-0930AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                                    SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                    MATH 114-226 CALCULUS II T 0930AM-1030AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                                      SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                      MATH 114-227 CALCULUS II R 0830AM-0930AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                                        SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                        MATH 114-228 CALCULUS II R 0930AM-1030AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                                          SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                          MATH 114-229 CALCULUS II T 0930AM-1030AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                                            SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                            MATH 114-231 CALCULUS II M 0800AM-0900AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                                              SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                              MATH 114-232 CALCULUS II M 0900AM-1000AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                                                SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                                MATH 114-233 CALCULUS II W 0800AM-0900AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                                                  SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                                  MATH 114-234 CALCULUS II W 0900AM-1000AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                                                    SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                                    MATH 114-241 CALCULUS II T 0830AM-0930AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                                                      SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                                      MATH 114-242 CALCULUS II T 0930AM-1030AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                                                        SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                                        MATH 114-243 CALCULUS II R 0830AM-0930AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                                                          SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                                          MATH 114-244 CALCULUS II R 0930AM-1030AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
                                                                                                                                                            SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                                            MATH 170-001 IDEAS IN MATHEMATICS BELL, RENEE MWF 0100PM-0200PM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Prerequisite: May also be counted toward the General Requirement in Natural Science & Mathematics.
                                                                                                                                                              Nat Sci & Math Sector (new curriculum only) SECTION ACTIVITY CO-REQUISITE REQUIRED; NATURAL SCIENCE & MATH SECTOR; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                                              MATH 170-002 IDEAS IN MATHEMATICS TR 0130PM-0300PM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Prerequisite: May also be counted toward the General Requirement in Natural Science & Mathematics.
                                                                                                                                                                Nat Sci & Math Sector (new curriculum only) SECTION ACTIVITY CO-REQUISITE REQUIRED; NATURAL SCIENCE & MATH SECTOR; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                                                MATH 170-201 RECITATION T 0830AM-0930AM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Prerequisite: May also be counted toward the General Requirement in Natural Science & Mathematics.
                                                                                                                                                                  Nat Sci & Math Sector (new curriculum only) SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                                                  MATH 170-202 RECITATION T 0930AM-1030AM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Prerequisite: May also be counted toward the General Requirement in Natural Science & Mathematics.
                                                                                                                                                                    Nat Sci & Math Sector (new curriculum only) SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                                                    MATH 170-203 RECITATION R 0830AM-0930AM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Prerequisite: May also be counted toward the General Requirement in Natural Science & Mathematics.
                                                                                                                                                                      Nat Sci & Math Sector (new curriculum only) SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                                                      MATH 170-204 RECITATION R 0930AM-1030AM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Prerequisite: May also be counted toward the General Requirement in Natural Science & Mathematics.
                                                                                                                                                                        Nat Sci & Math Sector (new curriculum only) SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                                                        MATH 170-205 RECITATION T 0830AM-0930AM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Prerequisite: May also be counted toward the General Requirement in Natural Science & Mathematics.
                                                                                                                                                                          Nat Sci & Math Sector (new curriculum only) SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                          MATH 170-206 RECITATION T 0930AM-1030AM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Prerequisite: May also be counted toward the General Requirement in Natural Science & Mathematics.
                                                                                                                                                                            Nat Sci & Math Sector (new curriculum only) SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                            MATH 170-211 RECITATION W 0800AM-0900AM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Prerequisite: May also be counted toward the General Requirement in Natural Science & Mathematics.
                                                                                                                                                                              Nat Sci & Math Sector (new curriculum only) SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                                                              MATH 170-212 RECITATION W 0900AM-1000AM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Prerequisite: May also be counted toward the General Requirement in Natural Science & Mathematics.
                                                                                                                                                                                Nat Sci & Math Sector (new curriculum only) SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                                                                MATH 170-213 RECITATION F 0800AM-0900AM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Prerequisite: May also be counted toward the General Requirement in Natural Science & Mathematics.
                                                                                                                                                                                  Nat Sci & Math Sector (new curriculum only) SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                                                                  MATH 170-214 RECITATION F 0900AM-1000AM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Prerequisite: May also be counted toward the General Requirement in Natural Science & Mathematics.
                                                                                                                                                                                    Nat Sci & Math Sector (new curriculum only) SECTION ACTIVITY CO-REQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                                                                    MATH 170-215 RECITATION W 0800AM-0900AM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Prerequisite: May also be counted toward the General Requirement in Natural Science & Mathematics.
                                                                                                                                                                                      Nat Sci & Math Sector (new curriculum only) SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                      MATH 170-216 RECITATION W 0900AM-1000AM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Prerequisite: May also be counted toward the General Requirement in Natural Science & Mathematics.
                                                                                                                                                                                        Nat Sci & Math Sector (new curriculum only) SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                        MATH 170-217 RECITATION F 0800AM-0900AM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Prerequisite: May also be counted toward the General Requirement in Natural Science & Mathematics.
                                                                                                                                                                                          Nat Sci & Math Sector (new curriculum only) SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                          MATH 170-218 RECITATION F 0900AM-1000AM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Prerequisite: May also be counted toward the General Requirement in Natural Science & Mathematics.
                                                                                                                                                                                            Nat Sci & Math Sector (new curriculum only) SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                            MATH 170-601 IDEAS IN MATHEMATICS TR 0630PM-0830PM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Prerequisite: May also be counted toward the General Requirement in Natural Science & Mathematics.
                                                                                                                                                                                              Nat Sci & Math Sector (new curriculum only) NATURAL SCIENCE & MATH SECTOR; FORMAL REASONING COURSE; FORMAL REASONING
                                                                                                                                                                                              MATH 203-101 LABORATORY M 0630PM-0830PM This course focuses on the creative side of mathematics, with an emphasis on discovery, reasoning, proofs and effective communication, while at the same time studying arithmetic, algebra, linear algebra, groups, rings and fields. Small class sizes permit an informal, discussion-type atmosphere, and often the entire class works together on a given problem. Homework is intended to be thought-provoking, rather than skill-sharpening.
                                                                                                                                                                                                SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                MATH 203-102 LABORATORY W 0630PM-0830PM This course focuses on the creative side of mathematics, with an emphasis on discovery, reasoning, proofs and effective communication, while at the same time studying arithmetic, algebra, linear algebra, groups, rings and fields. Small class sizes permit an informal, discussion-type atmosphere, and often the entire class works together on a given problem. Homework is intended to be thought-provoking, rather than skill-sharpening.
                                                                                                                                                                                                  SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                  MATH 203-301 PROVING THINGS: ALGEBRA KIRILLOV, ALEXANDRE TR 1200PM-0130PM This course focuses on the creative side of mathematics, with an emphasis on discovery, reasoning, proofs and effective communication, while at the same time studying arithmetic, algebra, linear algebra, groups, rings and fields. Small class sizes permit an informal, discussion-type atmosphere, and often the entire class works together on a given problem. Homework is intended to be thought-provoking, rather than skill-sharpening.
                                                                                                                                                                                                    SECTION ACTIVITY CO-REQUISITE REQUIRED; FRESHMAN SEMINAR; FRESHMAN SEMINAR
                                                                                                                                                                                                    MATH 210-301 MATH IN AGE OF INFO: Math in the Media TR 0130PM-0300PM This course counts as a regular elective for both the Mathematics Major and Minor. This is a course about mathematical reasoning and the media. Embedded in many stories one finds in the media are mathematical questions as well as implicit mathematical models for how the world behaves. We will discuss ways to recognize such questions and models, and how to think about them from a mathematical perspective. A key part of the course will be about what constitutes a mathematical proof, and what passes for proof in various media contexts. The course will cover a variety of topics in logic, probability and statistics as well as how these subjects can be used and abused.
                                                                                                                                                                                                      COLLEGE QUANTITATIVE DATA ANALYSIS REQ.; QUANTITATIVE DATA ANALYSIS COURSE
                                                                                                                                                                                                      MATH 240-001 CALCULUS III TR 1030AM-1200PM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                        SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                        MATH 240-002 CALCULUS III MWF 0100PM-0200PM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                          SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                          MATH 240-003 CALCULUS III LICHTENFELZ, LEANDRO TR 1200PM-0130PM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                            SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                            MATH 240-201 CALCULUS III FOSTER, BENJAMIN W 0800AM-0900AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                              SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                              MATH 240-202 CALCULUS III FOSTER, BENJAMIN W 0900AM-1000AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                MATH 240-203 CALCULUS III FOSTER, BENJAMIN F 0800AM-0900AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                  SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                  MATH 240-204 CALCULUS III FOSTER, BENJAMIN F 0900AM-1000AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                    SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                    MATH 240-205 CALCULUS III WANG, WILLIAM W 0800AM-0900AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                      SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                      MATH 240-206 CALCULUS III WANG, WILLIAM W 0900AM-1000AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                        SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                        MATH 240-207 CALCULUS III WANG, WILLIAM F 0800AM-0900AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                          SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                          MATH 240-208 CALCULUS III WANG, WILLIAM F 0900AM-1000AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                            SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                            MATH 240-211 CALCULUS III ZHANG, YILIANG T 0800AM-0900AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                              SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                              MATH 240-212 CALCULUS III ZHANG, YILIANG T 0930AM-1030AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                                SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                MATH 240-213 CALCULUS III ZHANG, YILIANG R 0800AM-0900AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                                  SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                  MATH 240-214 CALCULUS III ZHANG, YILIANG R 0930AM-1030AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                                    SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                    MATH 240-215 CALCULUS III T 0800AM-0900AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                                      SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                      MATH 240-216 CALCULUS III T 0930AM-1030AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                                        SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                        MATH 240-217 CALCULUS III R 0800AM-0900AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                                          SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                          MATH 240-218 CALCULUS III R 0930AM-1030AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                                            SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                            MATH 240-221 CALCULUS III LYNCH, JAMES M 0800AM-0900AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                                              SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                              MATH 240-222 CALCULUS III LYNCH, JAMES M 0900AM-1000AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                                                SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                                MATH 240-223 CALCULUS III LYNCH, JAMES W 0800AM-0900AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                                                  SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                                  MATH 240-224 CALCULUS III LYNCH, JAMES W 0900AM-1000AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                                                    SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                                    MATH 240-225 CALCULUS III KIM, JONGWON M 0800AM-0900AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                                                      SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                                      MATH 240-226 CALCULUS III KIM, JONGWON M 0900AM-1000AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                                                        SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                                        MATH 240-227 CALCULUS III KIM, JONGWON W 0800AM-0900AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                                                          SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                                          MATH 240-228 CALCULUS III KIM, JONGWON W 0900AM-1000AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
                                                                                                                                                                                                                                                            SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                                            MATH 241-001 CALCULUS IV MWF 1000AM-1100AM Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and Sturm-Liouville problems. Introduction to Fourier series and Fourier transforms. Computation of solutions, modeling using PDE's, geometric intuition, and qualitative understanding of the evolution of systems according to the type of partial differential operator.
                                                                                                                                                                                                                                                              SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                                              MATH 241-002 CALCULUS IV TR 1030AM-1200PM Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and Sturm-Liouville problems. Introduction to Fourier series and Fourier transforms. Computation of solutions, modeling using PDE's, geometric intuition, and qualitative understanding of the evolution of systems according to the type of partial differential operator.
                                                                                                                                                                                                                                                                SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                                                MATH 241-201 CALCULUS IV T 0830AM-0930AM Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and Sturm-Liouville problems. Introduction to Fourier series and Fourier transforms. Computation of solutions, modeling using PDE's, geometric intuition, and qualitative understanding of the evolution of systems according to the type of partial differential operator.
                                                                                                                                                                                                                                                                  SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                                                  MATH 241-202 CALCULUS IV T 0930AM-1030AM Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and Sturm-Liouville problems. Introduction to Fourier series and Fourier transforms. Computation of solutions, modeling using PDE's, geometric intuition, and qualitative understanding of the evolution of systems according to the type of partial differential operator.
                                                                                                                                                                                                                                                                    SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                                                    MATH 241-203 CALCULUS IV R 0830AM-0930AM Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and Sturm-Liouville problems. Introduction to Fourier series and Fourier transforms. Computation of solutions, modeling using PDE's, geometric intuition, and qualitative understanding of the evolution of systems according to the type of partial differential operator.
                                                                                                                                                                                                                                                                      SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                                                      MATH 241-204 CALCULUS IV R 0930AM-1030AM Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and Sturm-Liouville problems. Introduction to Fourier series and Fourier transforms. Computation of solutions, modeling using PDE's, geometric intuition, and qualitative understanding of the evolution of systems according to the type of partial differential operator.
                                                                                                                                                                                                                                                                        SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                                                        MATH 241-211 CALCULUS IV M 0800AM-0900AM Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and Sturm-Liouville problems. Introduction to Fourier series and Fourier transforms. Computation of solutions, modeling using PDE's, geometric intuition, and qualitative understanding of the evolution of systems according to the type of partial differential operator.
                                                                                                                                                                                                                                                                          SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                                                          MATH 241-212 CALCULUS IV M 0900AM-1000AM Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and Sturm-Liouville problems. Introduction to Fourier series and Fourier transforms. Computation of solutions, modeling using PDE's, geometric intuition, and qualitative understanding of the evolution of systems according to the type of partial differential operator.
                                                                                                                                                                                                                                                                            SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                                                            MATH 241-213 CALCULUS IV F 0800AM-0900AM Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and Sturm-Liouville problems. Introduction to Fourier series and Fourier transforms. Computation of solutions, modeling using PDE's, geometric intuition, and qualitative understanding of the evolution of systems according to the type of partial differential operator.
                                                                                                                                                                                                                                                                              SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                                                              MATH 241-214 CALCULUS IV F 0900AM-1000AM Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and Sturm-Liouville problems. Introduction to Fourier series and Fourier transforms. Computation of solutions, modeling using PDE's, geometric intuition, and qualitative understanding of the evolution of systems according to the type of partial differential operator.
                                                                                                                                                                                                                                                                                SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                                                                MATH 260-001 HONORS CALCULUS (CONTINUATION) GLUCK, HERMAN TR 0130PM-0300PM This is an honors version of Math 240 which explores the same topics but with greater mathematical rigor.
                                                                                                                                                                                                                                                                                  SECTION ACTIVITY CO-REQUISITE REQUIRED
                                                                                                                                                                                                                                                                                  MATH 260-201 HONORS CALCULUS (CONTINUATION) W 0600PM-0730PM This is an honors version of Math 240 which explores the same topics but with greater mathematical rigor.
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                                                                                                                                                                                                                                                                                    MATH 260-202 HONORS CALCULUS (CONTINUATION) W 0730PM-0900PM This is an honors version of Math 240 which explores the same topics but with greater mathematical rigor.
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                                                                                                                                                                                                                                                                                      MATH 280-301 ENTROPY MATH EVOLUTION: ENTROPY AND THE MATHEMATICS OF EVOLUTION CHINBURG, TED The goal of this is to explore a new theory of evolution developed by L. Demetrius at MIT based on the second law of thermodynamics. The essential idea is that life exists because if increases overall entropy quicker than other process es. The course will include an introduction to thermodynamics as well as to the information theory difinition of entropy. Eventually I want to apply this to other systems. For instance, I think the theory explains why political candidates who create chaos, tweet and require more bits of information to describe each day are favored by the second law. Demetrius makes a distinction between robust high entropy environments and precarious low entropy environments which is a very interesting in many different systems.
                                                                                                                                                                                                                                                                                        BENJAMIN FRANKLIN SEMINARS; BENJAMIN FRANKLIN SEMINAR; NURSING MINOR REQUIRED COURSE
                                                                                                                                                                                                                                                                                        MATH 312-001 LINEAR ALGEBRA POP, FLORIAN MWF 1100AM-1200PM Linear transformations, Gauss Jordan elimination, eigenvalues and eigenvectors, theory and applications. Mathematics majors are advised that MATH 312 cannot be taken to satisfy the major requirements. Prerequisite: Students who have already received credit for either Math 370, 371,502, or 503 cannot receive further credit for Math 312 or Math 313/513. Students can receive credit for at most one of Math 312 and 313/513.
                                                                                                                                                                                                                                                                                          MATH 312-002 LINEAR ALGEBRA COOPER, ANDREW TR 1030AM-1200PM Linear transformations, Gauss Jordan elimination, eigenvalues and eigenvectors, theory and applications. Mathematics majors are advised that MATH 312 cannot be taken to satisfy the major requirements. Prerequisite: Students who have already received credit for either Math 370, 371,502, or 503 cannot receive further credit for Math 312 or Math 313/513. Students can receive credit for at most one of Math 312 and 313/513.
                                                                                                                                                                                                                                                                                            MATH 313-401 COMPUT LINEAR ALGEBRA TR 1030AM-1200PM Many important problems in a wide range of disciplines within computer science and throughout science are solved using techniques from linear algebra. This course will introduce students to some of the most widely used algorithms and illustrate how they are actually used. Prerequisite: Students who have alreadyreceived credit for either math 370, 371, 502 or 503 cannot receive further credit for Math 313. Students can receive ccredit for at most one of Math 312 and Math 313. Some specific topics: the solution of systems of linear equations by Gaussian elimination, dimension of a linear space, inner product, cross product, change of basis, affine and rigid motions, eigenvalues and eigenvectors, diagonalization of both symmetric and non-symmetric matrices, quadratic polynomials, and least squares optimazation. Applications will include the use of matrix computations to computer graphics, use of the discrete Fourier transform and related techniques in digital signal processing, the analysis of systems of linear differential equations, and singular value deompositions with application to a principal component analysis. The ideas and tools provided by this course will be useful to students who intend to tackle higher level courses in digital signal processing, computer vision, robotics, and computer graphics.
                                                                                                                                                                                                                                                                                              MATH 314-401 ADVANCED LINEAR ALGEBRA DONAGI, RON TR 1200PM-0130PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products: Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra. Prerequisite: Math 314/514 covers Linear Algebra at the advanced level with a theoretical approach. Students can receive credit for at most one of Math 312 or Math 314.
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                                                                                                                                                                                                                                                                                                MATH 314-402 LABORATORY M 0630PM-0830PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products: Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra. Prerequisite: Math 314/514 covers Linear Algebra at the advanced level with a theoretical approach. Students can receive credit for at most one of Math 312 or Math 314.
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                                                                                                                                                                                                                                                                                                  MATH 314-403 LABORATORY W 0630PM-0830PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products: Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra. Prerequisite: Math 314/514 covers Linear Algebra at the advanced level with a theoretical approach. Students can receive credit for at most one of Math 312 or Math 314.
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                                                                                                                                                                                                                                                                                                    MATH 314-404 LABORATORY M 0630PM-0830PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products: Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra. Prerequisite: Math 314/514 covers Linear Algebra at the advanced level with a theoretical approach. Students can receive credit for at most one of Math 312 or Math 314.
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                                                                                                                                                                                                                                                                                                      MATH 314-405 LABORATORY W 0630PM-0830PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products: Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra. Prerequisite: Math 314/514 covers Linear Algebra at the advanced level with a theoretical approach. Students can receive credit for at most one of Math 312 or Math 314.
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                                                                                                                                                                                                                                                                                                        MATH 341-401 DISCRETE MATHEMATICS II TR 1030AM-1200PM Topics will be drawn from some subjects useful in the analysis of information and computation: logic, set theory, theory of computation, number theory, probability, and basic cryptography.
                                                                                                                                                                                                                                                                                                          MATH 350-001 NUMBER THEORY FRANKEL, BRETT MWF 1000AM-1100AM Congruences, Diophantine equations, continued fractions, nonlinear congruences,and quadratic residues.
                                                                                                                                                                                                                                                                                                            MATH 360-001 ADVANCED CALCULUS PIMSNER, MICHAEL TR 0130PM-0300PM Syllabus for MATH 360-361: a study of the foundations of the differential and integral calculus, including the real numbers and elementary topology, continuous and differentiable functions, uniform convergence of series of functions, and inverse and implicit function theorems. MATH 508-509 is a masters level version of this course.
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                                                                                                                                                                                                                                                                                                              MATH 360-101 LABORATORY M 0630PM-0830PM Syllabus for MATH 360-361: a study of the foundations of the differential and integral calculus, including the real numbers and elementary topology, continuous and differentiable functions, uniform convergence of series of functions, and inverse and implicit function theorems. MATH 508-509 is a masters level version of this course.
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                                                                                                                                                                                                                                                                                                                MATH 360-102 LABORATORY W 0630PM-0830PM Syllabus for MATH 360-361: a study of the foundations of the differential and integral calculus, including the real numbers and elementary topology, continuous and differentiable functions, uniform convergence of series of functions, and inverse and implicit function theorems. MATH 508-509 is a masters level version of this course.
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                                                                                                                                                                                                                                                                                                                  MATH 361-001 ADVANCED CALCULUS KIRILLOV, ALEXANDRE TR 1030AM-1200PM Continuation of MATH 360.
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                                                                                                                                                                                                                                                                                                                    MATH 361-101 LABORATORY M 0630PM-0830PM Continuation of MATH 360.
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                                                                                                                                                                                                                                                                                                                      MATH 361-102 LABORATORY W 0630PM-0830PM Continuation of MATH 360.
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                                                                                                                                                                                                                                                                                                                        MATH 370-001 ALGEBRA TR 0300PM-0430PM Syllabus for MATH 370-371: an introduction to the basic concepts of modern algebra. Linear algebra, eigenvalues and eigenvectors of matrices, groups, rings and fields. Prerequisite: MATH 502-503 is a masters level version of this course. Students who have already received credit for either Math 370, 371, 502, or 503 cannot receive further credit for Math 312 or Math 313/513. Students can receive creidt for at most one of Math 312 and math 313/513.
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                                                                                                                                                                                                                                                                                                                          MATH 370-101 LABORATORY M 0630PM-0830PM Syllabus for MATH 370-371: an introduction to the basic concepts of modern algebra. Linear algebra, eigenvalues and eigenvectors of matrices, groups, rings and fields. Prerequisite: MATH 502-503 is a masters level version of this course. Students who have already received credit for either Math 370, 371, 502, or 503 cannot receive further credit for Math 312 or Math 313/513. Students can receive creidt for at most one of Math 312 and math 313/513.
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                                                                                                                                                                                                                                                                                                                            MATH 370-102 LABORATORY W 0630PM-0830PM Syllabus for MATH 370-371: an introduction to the basic concepts of modern algebra. Linear algebra, eigenvalues and eigenvectors of matrices, groups, rings and fields. Prerequisite: MATH 502-503 is a masters level version of this course. Students who have already received credit for either Math 370, 371, 502, or 503 cannot receive further credit for Math 312 or Math 313/513. Students can receive creidt for at most one of Math 312 and math 313/513.
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                                                                                                                                                                                                                                                                                                                              MATH 371-001 ALGEBRA HAGLUND, JAMES TR 0300PM-0430PM Prerequisite: Students who have already received credit for either Math 370, 371, 502 or 503 cannot receive further credit for Math 312 or Math 313/513. Students can receive credit for at most one of Math 312 and Math 313/513.
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                                                                                                                                                                                                                                                                                                                                MATH 371-101 LABORATORY M 0630PM-0830PM Prerequisite: Students who have already received credit for either Math 370, 371, 502 or 503 cannot receive further credit for Math 312 or Math 313/513. Students can receive credit for at most one of Math 312 and Math 313/513.
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                                                                                                                                                                                                                                                                                                                                  MATH 371-102 LABORATORY W 0630PM-0830PM Prerequisite: Students who have already received credit for either Math 370, 371, 502 or 503 cannot receive further credit for Math 312 or Math 313/513. Students can receive credit for at most one of Math 312 and Math 313/513.
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                                                                                                                                                                                                                                                                                                                                    MATH 425-401 PARTIAL DIFFERENTIAL EQUATIONS DETURCK, DENNIS TR 0130PM-0300PM Method of separation of variables will be applied to solve the wave, heat, and Laplace equations. In addition, one or more of the following topics will be covered: qualitative properties of solutions of various equations (characteristics, maximum principles, uniqueness theorems), Laplace and Fourier transform methods, and approximation techniques.
                                                                                                                                                                                                                                                                                                                                      MATH 465-401 DIFFERENTIAL GEOMETRY LICHTENFELZ, LEANDRO TR 1030AM-1200PM Differential geometry of curves in the plane and in 3-space;n gauge theories Surfaces in 3-space; The geometry of the Gauss map;ons. The language of Intrinsic geometry of surfaces; Geodesics; Moving frames; of vector bundles, The Gauss-Bonnet Theorem; Assorted additional topics.
                                                                                                                                                                                                                                                                                                                                        MATH 501-401 DIFFERENTIAL GEOMETRY LICHTENFELZ, LEANDRO TR 1030AM-1200PM The course moves from a study of extrinsic geometry (curves and surfaces in n-space) to the intrinsic geometry of manifolds. After a review of vector calculus and a section on tensor algebra, we study manifolds and their intrinsic geometry, including metrics, connections, geodesics, and the Riemann curvature tensor. Topics include Eulerian curvature and Euler's theorems, the Gauss map and first/second fundamental forms, the Theorema Egregium, minimal surfaces in n-space; other topics as time permits.
                                                                                                                                                                                                                                                                                                                                          MATH 503-001 ABSTRACT ALGEBRA BELL, RENEE MW 1030AM-1200PM Continuation of Math 502. Prerequisite: Students who have already received credit fo reither Math 370, 371, 502 or 503 cannot receive further credit for Math 312 or Math 313/513. Students can receive credit for at most one of Math 312 and Math 313/513.
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                                                                                                                                                                                                                                                                                                                                            MATH 503-101 LABORATORY T 0630PM-0830PM Continuation of Math 502. Prerequisite: Students who have already received credit fo reither Math 370, 371, 502 or 503 cannot receive further credit for Math 312 or Math 313/513. Students can receive credit for at most one of Math 312 and Math 313/513.
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                                                                                                                                                                                                                                                                                                                                              MATH 503-102 LABORATORY R 0630PM-0830PM Continuation of Math 502. Prerequisite: Students who have already received credit fo reither Math 370, 371, 502 or 503 cannot receive further credit for Math 312 or Math 313/513. Students can receive credit for at most one of Math 312 and Math 313/513.
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                                                                                                                                                                                                                                                                                                                                                MATH 509-001 ADVANCED ANALYSIS TR 0130PM-0300PM Continuation of Math 508. The Arzela-Ascoli theorem. Introduction to the topology of metric spaces with an emphasis on higher dimensional Euclidean spaces. The contraction mapping principle. Inverse and implicit function theorems. Rigorous treatment of higher dimensional differential calculus. Introduction to Fourier analysis and asymptotic methods.
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                                                                                                                                                                                                                                                                                                                                                  MATH 509-101 LABORATORY M 0630PM-0830PM Continuation of Math 508. The Arzela-Ascoli theorem. Introduction to the topology of metric spaces with an emphasis on higher dimensional Euclidean spaces. The contraction mapping principle. Inverse and implicit function theorems. Rigorous treatment of higher dimensional differential calculus. Introduction to Fourier analysis and asymptotic methods.
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                                                                                                                                                                                                                                                                                                                                                    MATH 509-102 LABORATORY W 0630PM-0830PM Continuation of Math 508. The Arzela-Ascoli theorem. Introduction to the topology of metric spaces with an emphasis on higher dimensional Euclidean spaces. The contraction mapping principle. Inverse and implicit function theorems. Rigorous treatment of higher dimensional differential calculus. Introduction to Fourier analysis and asymptotic methods.
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                                                                                                                                                                                                                                                                                                                                                      MATH 513-401 COMPUT LINEAR ALGEBRA TR 1030AM-1200PM A number of important and interesting problems in a wide range of disciplines within computer science are solved by recourse to techniques from linear algebra. The goal of this course will be to introduce students to some of the most important and widely used algorithms in matrix computation and to illustrate how they are actually used in various settings. Motivating applications will include: the solution of systems of linear equations, applications matrix computations to modeling geometric transformations in graphics, applications of the Discrete Fourier Transform and related techniques in digital signal processing, the solution of linear least squares optimization problems and the analysis of systems of linear differential equations. The course will cover the theoretical underpinnings of these problems and the numerical algorithms that are used to perform important matrixcomputations such as Gaussian Elimination, LU Decomposition and Singular Value Decomposition.
                                                                                                                                                                                                                                                                                                                                                        MATH 514-401 ADVANCED LINEAR ALGEBRA DONAGI, RON TR 1200PM-0130PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products; Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra.
                                                                                                                                                                                                                                                                                                                                                          SECTION ACTIVITY CO-REQUISITE REQUIRED; UNDERGRADUATES NEED PERMISSION
                                                                                                                                                                                                                                                                                                                                                          MATH 514-402 LABORATORY M 0630PM-0830PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products; Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra.
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                                                                                                                                                                                                                                                                                                                                                            MATH 514-403 LABORATORY W 0630PM-0830PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products; Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra.
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                                                                                                                                                                                                                                                                                                                                                              MATH 514-404 LABORATORY M 0630PM-0830PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products; Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra.
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                                                                                                                                                                                                                                                                                                                                                                MATH 514-405 LABORATORY W 0630PM-0830PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products; Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra.
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                                                                                                                                                                                                                                                                                                                                                                  MATH 546-001 ADVANCED PROBABILITY PEMANTLE, ROBIN MW 1200PM-0130PM The required background is (1) enough math background to understand proof techniques in real analysis (closed sets, uniform covergence, fourier series, etc.) and (2) some exposure to probability theory at an intuitive level (a course at the level of Ross's probability text or some exposure to probability in a statistics class). After a summary of the necessary results from measure theory, we will learn the probabist's lexicon (random variables, independence, etc.). We will then develop the necessary techniques (Borel Cantelli lemmas, estimates on sums of independent random variables and truncation techniques) to prove the classical laws of large numbers. Next come Fourier techniques and the Central Limit Theorem, followed by combinatorial techniques and the study of random walks.
                                                                                                                                                                                                                                                                                                                                                                    MATH 571-401 INTRO LOGIC & COMPUTABTY WEINSTEIN, SCOTT TR 0300PM-0430PM Continuation of Math 570. Prerequisite: Permission of instructor if course prerequisites not met
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                                                                                                                                                                                                                                                                                                                                                                      MATH 581-001 COMB ANAL & GRAPH THRY: Algorithmic Combinatorics and Symbolic Computation TR 1200PM-0130PM Continuation of Math 580.
                                                                                                                                                                                                                                                                                                                                                                        MATH 601-001 GEO ANALYSIS & TOPOLOGY BLOCK, JONATHAN TR 1030AM-1200PM Covering spaces and fundamental groups, van Kampen's theorem and classification of surfaces. Basics of homology and cohomology, singular and cellular; isomorphism with de Rham cohomology. Brouwer fixed point theorem, CW complexes, cup and cap products, Poincare duality, Kunneth and universal coefficient theorems, Alexander duality, Lefschetz fixed point theorem.
                                                                                                                                                                                                                                                                                                                                                                          MATH 603-001 ALGEBRA CHAI, CHING-LI MF 0130PM-0300PM Continuation of Math 602.
                                                                                                                                                                                                                                                                                                                                                                            MATH 609-401 ANALYSIS II HYND, RYAN TR 0130PM-0300PM Real analysis: general measure theory, outer measures and Cartheodory construction, Hausdorff measures, Radon-Nikodym theorem, Fubini's theorem, Hilbert space and L2-theory of the Fourier transform. Functional analysis: normed linear spaces, convexity, the Hahn-Banach theorem, duality for Banach spaces, weak convergence, bounded linear operators, Baire category theorem, uniform boundedness principle, open mapping theorem, closed graph theorem, compact operators, Fredholm theory, interpolation theorems, Lp-theory for the Fourier transform.
                                                                                                                                                                                                                                                                                                                                                                              MATH 619-001 ALGEBRC TOPOLOGY, PART I MERLING, MONA TR 1200PM-0130PM Rational homotopy theory, cobordism, K-theory, Morse theory and the h-corbodism theorem. Surgery theory.
                                                                                                                                                                                                                                                                                                                                                                                MATH 625-001 ALGEBRAIC GEOMETRY HARBATER, DAVID MF 0130PM-0300PM Continuation of Math 624.
                                                                                                                                                                                                                                                                                                                                                                                  MATH 649-401 STOCHASTIC PROCESSES SUN, XIN MW 1200PM-0130PM Markov chains, Markov processes, and their limit theory. Renewal theory. Martingales and optimal stopping. Stable laws and processes with independen increments. Brownian motion and the theory of weak convergence. Point processes.
                                                                                                                                                                                                                                                                                                                                                                                    MATH 695-001 MATH FOUND THEOR PHYSICS DONAGI, RON TR 0130PM-0300PM Selected topics in mathematical physics, such as mathematical methods of classical mechanics, electrodynamics, relativity, quantum mechanics and quantum field theory.
                                                                                                                                                                                                                                                                                                                                                                                      MATH 724-001 TOPICS IN ALGEBRAIC GEOM POP, FLORIAN MW 1200PM-0130PM Topics from the literature. The specific subjects will vary from year to year.
                                                                                                                                                                                                                                                                                                                                                                                        MATH 810-001 READING SEMINAR MAXIMO ALEXANDRINO NOGUEIRA, DAVI
                                                                                                                                                                                                                                                                                                                                                                                          MATH 810-002 READING SEMINAR ZILLER, WOLFGANG
                                                                                                                                                                                                                                                                                                                                                                                            MATH 810-015 READING SEMINAR: Reading seminar in algebraic topology MERLING, MONA
                                                                                                                                                                                                                                                                                                                                                                                              MATH 810-016 READING SEMINAR: Reading Course CHINBURG, TED
                                                                                                                                                                                                                                                                                                                                                                                                MATH 810-018 READING SEMINAR: Harmonic Analysis GRESSMAN, PHILIP
                                                                                                                                                                                                                                                                                                                                                                                                  MATH 810-021 READING SEMINAR: Commutative Algebra POP, FLORIAN
                                                                                                                                                                                                                                                                                                                                                                                                    MATH 810-030 READING SEMINAR PEMANTLE, ROBIN
                                                                                                                                                                                                                                                                                                                                                                                                      MATH 810-034 READING SEMINAR: READING SEMINAR BHATTACHARYA, BHASWAR
                                                                                                                                                                                                                                                                                                                                                                                                        MATH 810-063 READING SEMINAR: Minimal Surfaces Reading Seminar MAXIMO ALEXANDRINO NOGUEIRA, DAVI
                                                                                                                                                                                                                                                                                                                                                                                                          MATH 810-066 READING SEMINAR: String Theory CVETIC, MIRJAM
                                                                                                                                                                                                                                                                                                                                                                                                            MATH 810-068 READING SEMINAR: Reading Seminar WANG, ZHENFU
                                                                                                                                                                                                                                                                                                                                                                                                              MATH 810-078 READING SEMINAR: Reading Course on the Stolz-Teichner Program MERLING, MONA
                                                                                                                                                                                                                                                                                                                                                                                                                MATH 881-025 COMBINATORICS SEMINAR HAGLUND, JAMES Seminar on current and recent literature in combinatorics.