Title  Instructor  Location  Time  All taxonomy terms  Description  Section Description  Cross Listings  Fulfills  Registration Notes  Syllabus  Syllabus URL  Course Syllabus URL  

AMCS 514401  ADVANCED LINEAR ALGEBRA  DONAGI, RON  TR 1200PM0130PM  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 skewsymmetric tensors and exterior algebra. 

SECTION ACTIVITY COREQUISITE REQUIRED; UNDERGRADUATES NEED PERMISSION  
AMCS 514402  LABORATORY  M 0630PM0830PM  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 skewsymmetric tensors and exterior algebra. 

SECTION ACTIVITY COREQUISITE REQUIRED; UNDERGRADUATES NEED PERMISSION  
AMCS 514403  LABORATORY  W 0630PM0830PM  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 skewsymmetric tensors and exterior algebra. 

SECTION ACTIVITY COREQUISITE REQUIRED; UNDERGRADUATES NEED PERMISSION  
AMCS 514404  LABORATORY  M 0630PM0830PM  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 skewsymmetric tensors and exterior algebra. 

SECTION ACTIVITY COREQUISITE REQUIRED; UNDERGRADUATES NEED PERMISSION  
AMCS 514405  LABORATORY  W 0630PM0830PM  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 skewsymmetric tensors and exterior algebra. 

SECTION ACTIVITY COREQUISITE REQUIRED; UNDERGRADUATES NEED PERMISSION  
AMCS 525401  PARTIAL DIFFERENTIAL EQUATIONS  DETURCK, DENNIS  TR 0130PM0300PM  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 603001  ALGEBRAIC TECHIQUES II  EPSTEIN, CHARLES  TR 1200PM0130PM  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 609401  ANALYSIS II  HYND, RYAN  TR 0130PM0300PM  Real analysis: general measure theory, outer measures and Cartheodory construction, Hausdorff measures, RadonNikodym theorem, Fubini's theorem, Hilbert space and L2theory of the Fourier transform. Functional analysis: normed linear spaces, convexity, the HahnBanach 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, Lptheory for the Fourier transform. 


MATH 103001  INTRODUCTION TO CALCULUS  MWF 1100AM1200PM  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, curvesketching, approximations; integrals and the fundamental theorem of calculus. 

General Requirement in Formal Reasoning & Analysis  SECTION ACTIVITY COREQUISITE REQUIRED; STRUCTURED,ACTIVE,INCLASS LEARNING; FORMAL REASONING & ANALYSIS; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 103101  LABORATORY  R 0600PM0800PM  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, curvesketching, approximations; integrals and the fundamental theorem of calculus. 

General Requirement in Formal Reasoning & Analysis  SECTION ACTIVITY COREQUISITE REQUIRED; PERMISSION NEEDED FROM DEPARTMENT  
MATH 103201  INTRODUCTION TO CALCULUS  T 0830AM0930AM  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, curvesketching, approximations; integrals and the fundamental theorem of calculus. 

General Requirement in Formal Reasoning & Analysis  SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 103202  INTRODUCTION TO CALCULUS  T 0930AM1030AM  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, curvesketching, approximations; integrals and the fundamental theorem of calculus. 

General Requirement in Formal Reasoning & Analysis  SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 103203  INTRODUCTION TO CALCULUS  R 0830AM0930AM  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, curvesketching, approximations; integrals and the fundamental theorem of calculus. 

General Requirement in Formal Reasoning & Analysis  SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 103204  INTRODUCTION TO CALCULUS  R 0930AM1030AM  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, curvesketching, approximations; integrals and the fundamental theorem of calculus. 

General Requirement in Formal Reasoning & Analysis  SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 103601  INTRO TO CALCULUS  BASU, SUKALPA  MW 0630PM0830PM  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, curvesketching, approximations; integrals and the fundamental theorem of calculus. 

General Requirement in Formal Reasoning & Analysis  FORMAL REASONING & ANALYSIS; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104001  CALCULUS I  TR 0900AM1030AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104002  CALCULUS I  RIMMER, NAKIA  MWF 1000AM1100AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104003  CALCULUS I  TR 1200PM0130PM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104004  CALCULUS I  FRANKEL, BRETT  MWF 0900AM1000AM  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 COREQUISITE REQUIRED  
MATH 104201  CALCULUS I  M 0800AM0900AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104202  CALCULUS I  M 0900AM1000AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104203  CALCULUS I  W 0800AM0900AM  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 COREQUISITE REQUIRED  
MATH 104204  CALCULUS I  W 0900AM1000AM  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 COREQUISITE REQUIRED  
MATH 104211  CALCULUS I  T 0830AM0930AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104212  CALCULUS I  T 0930AM1030AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104213  CALCULUS I  R 0830AM0930AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104214  CALCULUS I  R 0930AM1030AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104215  CALCULUS I  T 0830AM0930AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104216  CALCULUS I  T 0930AM1030AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104217  CALCULUS I  R 0830AM0930AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104218  CALCULUS I  R 0930AM1030AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104219  CALCULUS I  R 0930AM1030AM  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 COREQUISITE REQUIRED  
MATH 104221  CALCULUS I  W 0800AM0900AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104222  CALCULUS I  W 0900AM1000AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104223  CALCULUS I  F 0800AM0900AM  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 COREQUISITE REQUIRED  
MATH 104224  CALCULUS I  F 0900AM1000AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104231  CALCULUS I  T 0830AM0930AM  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 COREQUISITE REQUIRED  
MATH 104232  CALCULUS I  T 0930AM1030AM  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 COREQUISITE REQUIRED  
MATH 104233  CALCULUS I  R 0830AM0930AM  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 COREQUISITE REQUIRED  
MATH 104234  CALCULUS I  R 0930AM1030AM  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 COREQUISITE REQUIRED  
MATH 104601  CALCULUS I 
MW 0430PM0600PM F 0430PM0530PM 
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 114001  CALCULUS II  TR 0900AM1030AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114002  CALCULUS II  GHRIST, ROBERT  TR 1200PM0130PM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114003  CALCULUS II  RIMMER, NAKIA  MWF 0100PM0200PM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114004  CALCULUS II  COOPER, ANDREW  TR 0130PM0300PM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114005  CALCULUS II  MWF 0200PM0300PM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED  
MATH 114201  CALCULUS II  M 0800AM0900AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114202  CALCULUS II  M 0900AM1000AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114203  CALCULUS II  W 0800AM0900AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114204  CALCULUS II  W 0900AM1000AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114205  CALCULUS II  M 0800AM0900AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114206  CALCULUS II  M 0900AM1000AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114211  CALCULUS II  M 0800AM0900AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114212  CALCULUS II  M 0900AM1000AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114213  CALCULUS II  F 0800AM0900AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114214  CALCULUS II  F 0900AM1000AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114215  CALCULUS II  M 0800AM0900AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; ENGINEERING STUDENTS ONLY; FORMAL REASONING  
MATH 114216  CALCULUS II  M 0900AM1000AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114217  CALCULUS II  F 0800AM0900AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED  
MATH 114218  CALCULUS II  F 0900AM1000AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED  
MATH 114221  CALCULUS II  T 0830AM0930AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114222  CALCULUS II  T 0930AM1030AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114223  CALCULUS II  R 0830AM0930AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114224  CALCULUS II  R 0930AM1030AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114225  CALCULUS II  T 0830AM0930AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114226  CALCULUS II  T 0930AM1030AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114227  CALCULUS II  R 0830AM0930AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114228  CALCULUS II  R 0930AM1030AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114229  CALCULUS II  T 0930AM1030AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED  
MATH 114231  CALCULUS II  M 0800AM0900AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114232  CALCULUS II  M 0900AM1000AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114233  CALCULUS II  W 0800AM0900AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114234  CALCULUS II  W 0900AM1000AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114241  CALCULUS II  T 0830AM0930AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114242  CALCULUS II  T 0930AM1030AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114243  CALCULUS II  R 0830AM0930AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114244  CALCULUS II  R 0930AM1030AM  Functions of several variables, vectorvalued 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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 170001  IDEAS IN MATHEMATICS  BELL, RENEE  MWF 0100PM0200PM  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 COREQUISITE REQUIRED; NATURAL SCIENCE & MATH SECTOR; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 170002  IDEAS IN MATHEMATICS  TR 0130PM0300PM  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 COREQUISITE REQUIRED; NATURAL SCIENCE & MATH SECTOR; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 170201  RECITATION  T 0830AM0930AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 170202  RECITATION  T 0930AM1030AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 170203  RECITATION  R 0830AM0930AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 170204  RECITATION  R 0930AM1030AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 170205  RECITATION  T 0830AM0930AM  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 COREQUISITE REQUIRED  
MATH 170206  RECITATION  T 0930AM1030AM  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 COREQUISITE REQUIRED  
MATH 170211  RECITATION  W 0800AM0900AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 170212  RECITATION  W 0900AM1000AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 170213  RECITATION  F 0800AM0900AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 170214  RECITATION  F 0900AM1000AM  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 COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 170215  RECITATION  W 0800AM0900AM  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 COREQUISITE REQUIRED  
MATH 170216  RECITATION  W 0900AM1000AM  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 COREQUISITE REQUIRED  
MATH 170217  RECITATION  F 0800AM0900AM  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 COREQUISITE REQUIRED  
MATH 170218  RECITATION  F 0900AM1000AM  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 COREQUISITE REQUIRED  
MATH 170601  IDEAS IN MATHEMATICS  TR 0630PM0830PM  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 203101  LABORATORY  M 0630PM0830PM  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, discussiontype atmosphere, and often the entire class works together on a given problem. Homework is intended to be thoughtprovoking, rather than skillsharpening. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 203102  LABORATORY  W 0630PM0830PM  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, discussiontype atmosphere, and often the entire class works together on a given problem. Homework is intended to be thoughtprovoking, rather than skillsharpening. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 203301  PROVING THINGS: ALGEBRA  KIRILLOV, ALEXANDRE  TR 1200PM0130PM  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, discussiontype atmosphere, and often the entire class works together on a given problem. Homework is intended to be thoughtprovoking, rather than skillsharpening. 

SECTION ACTIVITY COREQUISITE REQUIRED; FRESHMAN SEMINAR; FRESHMAN SEMINAR  
MATH 210301  MATH IN AGE OF INFO: Math in the Media  TR 0130PM0300PM  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 240001  CALCULUS III  TR 1030AM1200PM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240002  CALCULUS III  MWF 0100PM0200PM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240003  CALCULUS III  LICHTENFELZ, LEANDRO  TR 1200PM0130PM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240201  CALCULUS III  FOSTER, BENJAMIN  W 0800AM0900AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240202  CALCULUS III  FOSTER, BENJAMIN  W 0900AM1000AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240203  CALCULUS III  FOSTER, BENJAMIN  F 0800AM0900AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240204  CALCULUS III  FOSTER, BENJAMIN  F 0900AM1000AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240205  CALCULUS III  WANG, WILLIAM  W 0800AM0900AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240206  CALCULUS III  WANG, WILLIAM  W 0900AM1000AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240207  CALCULUS III  WANG, WILLIAM  F 0800AM0900AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240208  CALCULUS III  WANG, WILLIAM  F 0900AM1000AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240211  CALCULUS III  ZHANG, YILIANG  T 0800AM0900AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240212  CALCULUS III  ZHANG, YILIANG  T 0930AM1030AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240213  CALCULUS III  ZHANG, YILIANG  R 0800AM0900AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240214  CALCULUS III  ZHANG, YILIANG  R 0930AM1030AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240215  CALCULUS III  T 0800AM0900AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240216  CALCULUS III  T 0930AM1030AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240217  CALCULUS III  R 0800AM0900AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240218  CALCULUS III  R 0930AM1030AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240221  CALCULUS III  LYNCH, JAMES  M 0800AM0900AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240222  CALCULUS III  LYNCH, JAMES  M 0900AM1000AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240223  CALCULUS III  LYNCH, JAMES  W 0800AM0900AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240224  CALCULUS III  LYNCH, JAMES  W 0900AM1000AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240225  CALCULUS III  KIM, JONGWON  M 0800AM0900AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240226  CALCULUS III  KIM, JONGWON  M 0900AM1000AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240227  CALCULUS III  KIM, JONGWON  W 0800AM0900AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 240228  CALCULUS III  KIM, JONGWON  W 0900AM1000AM  Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 241001  CALCULUS IV  MWF 1000AM1100AM  Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and SturmLiouville 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 COREQUISITE REQUIRED  
MATH 241002  CALCULUS IV  TR 1030AM1200PM  Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and SturmLiouville 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 COREQUISITE REQUIRED  
MATH 241201  CALCULUS IV  T 0830AM0930AM  Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and SturmLiouville 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 COREQUISITE REQUIRED  
MATH 241202  CALCULUS IV  T 0930AM1030AM  Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and SturmLiouville 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 COREQUISITE REQUIRED  
MATH 241203  CALCULUS IV  R 0830AM0930AM  Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and SturmLiouville 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 COREQUISITE REQUIRED  
MATH 241204  CALCULUS IV  R 0930AM1030AM  Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and SturmLiouville 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 COREQUISITE REQUIRED  
MATH 241211  CALCULUS IV  M 0800AM0900AM  Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and SturmLiouville 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 COREQUISITE REQUIRED  
MATH 241212  CALCULUS IV  M 0900AM1000AM  Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and SturmLiouville 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 COREQUISITE REQUIRED  
MATH 241213  CALCULUS IV  F 0800AM0900AM  Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and SturmLiouville 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 COREQUISITE REQUIRED  
MATH 241214  CALCULUS IV  F 0900AM1000AM  Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and SturmLiouville 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 COREQUISITE REQUIRED  
MATH 260001  HONORS CALCULUS (CONTINUATION)  GLUCK, HERMAN  TR 0130PM0300PM  This is an honors version of Math 240 which explores the same topics but with greater mathematical rigor. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 260201  HONORS CALCULUS (CONTINUATION)  W 0600PM0730PM  This is an honors version of Math 240 which explores the same topics but with greater mathematical rigor. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 260202  HONORS CALCULUS (CONTINUATION)  W 0730PM0900PM  This is an honors version of Math 240 which explores the same topics but with greater mathematical rigor. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 280301  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 312001  LINEAR ALGEBRA  POP, FLORIAN  MWF 1100AM1200PM  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 312002  LINEAR ALGEBRA  COOPER, ANDREW  TR 1030AM1200PM  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 313401  COMPUT LINEAR ALGEBRA  TR 1030AM1200PM  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 nonsymmetric 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 314401  ADVANCED LINEAR ALGEBRA  DONAGI, RON  TR 1200PM0130PM  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 skewsymmetric 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. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 314402  LABORATORY  M 0630PM0830PM  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 skewsymmetric 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. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 314403  LABORATORY  W 0630PM0830PM  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 skewsymmetric 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. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 314404  LABORATORY  M 0630PM0830PM  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 skewsymmetric 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. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 314405  LABORATORY  W 0630PM0830PM  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 skewsymmetric 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. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 341401  DISCRETE MATHEMATICS II  TR 1030AM1200PM  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 350001  NUMBER THEORY  FRANKEL, BRETT  MWF 1000AM1100AM  Congruences, Diophantine equations, continued fractions, nonlinear congruences,and quadratic residues. 


MATH 360001  ADVANCED CALCULUS  PIMSNER, MICHAEL  TR 0130PM0300PM  Syllabus for MATH 360361: 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 508509 is a masters level version of this course. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 360101  LABORATORY  M 0630PM0830PM  Syllabus for MATH 360361: 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 508509 is a masters level version of this course. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 360102  LABORATORY  W 0630PM0830PM  Syllabus for MATH 360361: 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 508509 is a masters level version of this course. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 361001  ADVANCED CALCULUS  KIRILLOV, ALEXANDRE  TR 1030AM1200PM  Continuation of MATH 360. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 361101  LABORATORY  M 0630PM0830PM  Continuation of MATH 360. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 361102  LABORATORY  W 0630PM0830PM  Continuation of MATH 360. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 370001  ALGEBRA  TR 0300PM0430PM  Syllabus for MATH 370371: an introduction to the basic concepts of modern algebra. Linear algebra, eigenvalues and eigenvectors of matrices, groups, rings and fields. Prerequisite: MATH 502503 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. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 370101  LABORATORY  M 0630PM0830PM  Syllabus for MATH 370371: an introduction to the basic concepts of modern algebra. Linear algebra, eigenvalues and eigenvectors of matrices, groups, rings and fields. Prerequisite: MATH 502503 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. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 370102  LABORATORY  W 0630PM0830PM  Syllabus for MATH 370371: an introduction to the basic concepts of modern algebra. Linear algebra, eigenvalues and eigenvectors of matrices, groups, rings and fields. Prerequisite: MATH 502503 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. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 371001  ALGEBRA  HAGLUND, JAMES  TR 0300PM0430PM  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. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 371101  LABORATORY  M 0630PM0830PM  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. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 371102  LABORATORY  W 0630PM0830PM  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. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 425401  PARTIAL DIFFERENTIAL EQUATIONS  DETURCK, DENNIS  TR 0130PM0300PM  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 465401  DIFFERENTIAL GEOMETRY  LICHTENFELZ, LEANDRO  TR 1030AM1200PM  Differential geometry of curves in the plane and in 3space;n gauge theories Surfaces in 3space; The geometry of the Gauss map;ons. The language of Intrinsic geometry of surfaces; Geodesics; Moving frames; of vector bundles, The GaussBonnet Theorem; Assorted additional topics. 


MATH 501401  DIFFERENTIAL GEOMETRY  LICHTENFELZ, LEANDRO  TR 1030AM1200PM  The course moves from a study of extrinsic geometry (curves and surfaces in nspace) 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 nspace; other topics as time permits. 


MATH 503001  ABSTRACT ALGEBRA  BELL, RENEE  MW 1030AM1200PM  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. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 503101  LABORATORY  T 0630PM0830PM  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. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 503102  LABORATORY  R 0630PM0830PM  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. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 509001  ADVANCED ANALYSIS  TR 0130PM0300PM  Continuation of Math 508. The ArzelaAscoli 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. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 509101  LABORATORY  M 0630PM0830PM  Continuation of Math 508. The ArzelaAscoli 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. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 509102  LABORATORY  W 0630PM0830PM  Continuation of Math 508. The ArzelaAscoli 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. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 513401  COMPUT LINEAR ALGEBRA  TR 1030AM1200PM  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 514401  ADVANCED LINEAR ALGEBRA  DONAGI, RON  TR 1200PM0130PM  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 skewsymmetric tensors and exterior algebra. 

SECTION ACTIVITY COREQUISITE REQUIRED; UNDERGRADUATES NEED PERMISSION  
MATH 514402  LABORATORY  M 0630PM0830PM  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 skewsymmetric tensors and exterior algebra. 

SECTION ACTIVITY COREQUISITE REQUIRED; UNDERGRADUATES NEED PERMISSION  
MATH 514403  LABORATORY  W 0630PM0830PM  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 skewsymmetric tensors and exterior algebra. 

SECTION ACTIVITY COREQUISITE REQUIRED; UNDERGRADUATES NEED PERMISSION  
MATH 514404  LABORATORY  M 0630PM0830PM  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 skewsymmetric tensors and exterior algebra. 

SECTION ACTIVITY COREQUISITE REQUIRED; UNDERGRADUATES NEED PERMISSION  
MATH 514405  LABORATORY  W 0630PM0830PM  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 skewsymmetric tensors and exterior algebra. 

SECTION ACTIVITY COREQUISITE REQUIRED; UNDERGRADUATES NEED PERMISSION  
MATH 546001  ADVANCED PROBABILITY  PEMANTLE, ROBIN  MW 1200PM0130PM  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 571401  INTRO LOGIC & COMPUTABTY  WEINSTEIN, SCOTT  TR 0300PM0430PM  Continuation of Math 570. Prerequisite: Permission of instructor if course prerequisites not met 

COURSE ONLINE: SYNCHRONOUS FORMAT  
MATH 581001  COMB ANAL & GRAPH THRY: Algorithmic Combinatorics and Symbolic Computation  TR 1200PM0130PM  Continuation of Math 580. 


MATH 601001  GEO ANALYSIS & TOPOLOGY  BLOCK, JONATHAN  TR 1030AM1200PM  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 603001  ALGEBRA  CHAI, CHINGLI  MF 0130PM0300PM  Continuation of Math 602. 


MATH 609401  ANALYSIS II  HYND, RYAN  TR 0130PM0300PM  Real analysis: general measure theory, outer measures and Cartheodory construction, Hausdorff measures, RadonNikodym theorem, Fubini's theorem, Hilbert space and L2theory of the Fourier transform. Functional analysis: normed linear spaces, convexity, the HahnBanach 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, Lptheory for the Fourier transform. 


MATH 619001  ALGEBRC TOPOLOGY, PART I  MERLING, MONA  TR 1200PM0130PM  Rational homotopy theory, cobordism, Ktheory, Morse theory and the hcorbodism theorem. Surgery theory. 


MATH 625001  ALGEBRAIC GEOMETRY  HARBATER, DAVID  MF 0130PM0300PM  Continuation of Math 624. 


MATH 649401  STOCHASTIC PROCESSES  SUN, XIN  MW 1200PM0130PM  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 695001  MATH FOUND THEOR PHYSICS  DONAGI, RON  TR 0130PM0300PM  Selected topics in mathematical physics, such as mathematical methods of classical mechanics, electrodynamics, relativity, quantum mechanics and quantum field theory. 


MATH 724001  TOPICS IN ALGEBRAIC GEOM  POP, FLORIAN  MW 1200PM0130PM  Topics from the literature. The specific subjects will vary from year to year. 


MATH 810001  READING SEMINAR  MAXIMO ALEXANDRINO NOGUEIRA, DAVI 


MATH 810002  READING SEMINAR  ZILLER, WOLFGANG 


MATH 810015  READING SEMINAR: Reading seminar in algebraic topology  MERLING, MONA 


MATH 810016  READING SEMINAR: Reading Course  CHINBURG, TED 


MATH 810018  READING SEMINAR: Harmonic Analysis  GRESSMAN, PHILIP 


MATH 810021  READING SEMINAR: Commutative Algebra  POP, FLORIAN 


MATH 810030  READING SEMINAR  PEMANTLE, ROBIN 


MATH 810034  READING SEMINAR: READING SEMINAR  BHATTACHARYA, BHASWAR 


MATH 810063  READING SEMINAR: Minimal Surfaces Reading Seminar  MAXIMO ALEXANDRINO NOGUEIRA, DAVI 


MATH 810066  READING SEMINAR: String Theory  CVETIC, MIRJAM 


MATH 810068  READING SEMINAR: Reading Seminar  WANG, ZHENFU 


MATH 810078  READING SEMINAR: Reading Course on the StolzTeichner Program  MERLING, MONA 


MATH 881025  COMBINATORICS SEMINAR  HAGLUND, JAMES  Seminar on current and recent literature in combinatorics. 
