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  GRASSI, ANTONELLA  DAVID RITTENHOUSE LAB A1  TR 0900AM1030AM  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  
AMCS 514402  LABORATORY  ZANARDINI, ALINE  DAVID RITTENHOUSE LAB 3C2  T 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  
AMCS 514403  LABORATORY  ZANARDINI, ALINE  DAVID RITTENHOUSE LAB 3C2  R 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  
AMCS 525401  PARTIAL DIFFERENTIAL EQUATIONS  TASKOVIC, MAJA  DAVID RITTENHOUSE LAB A2  TR 0900AM1030AM  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  HAGLUND, JAMES  DAVID RITTENHOUSE LAB 4C8  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  GRESSMAN, PHILIP  DAVID RITTENHOUSE LAB 4E19  TR 1030AM1200PM  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  CANCELED  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 COURSE; FORMAL REASONING  
MATH 103002  INTRODUCTION TO CALCULUS  RIMMER, NAKIA  FISHERBENNETT HALL 401  MWF 0100PM0200PM  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 103201  INTRODUCTION TO CALCULUS  CANCELED  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  CANCELED  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  CANCELED  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  CANCELED  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 103211  INTRODUCTION TO CALCULUS  LIAO, VINSON  DAVID RITTENHOUSE LAB 2C6  M 0800AM0900AM  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 103212  INTRODUCTION TO CALCULUS  LIAO, VINSON  DAVID RITTENHOUSE LAB 2C6  M 0900AM1000AM  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 103213  INTRODUCTION TO CALCULUS  LIAO, VINSON  DAVID RITTENHOUSE LAB 2C8  W 0800AM0900AM  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 103214  INTRODUCTION TO CALCULUS  LIAO, VINSON  DAVID RITTENHOUSE LAB 2C8  W 0900AM1000AM  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  DAVID RITTENHOUSE LAB 3C8  MW 0630PM0845PM  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  CANCELED  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; STRUCTURED,ACTIVE,INCLASS LEARNING; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104002  CALCULUS I  DETURCK, DENNIS  ANNENBERG SCHOOL 110  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  GHINI BETTIOL, RENATO  DAVID RITTENHOUSE LAB A6  TR 1030AM1200PM  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  JANG, MI  DAVID RITTENHOUSE LAB A1  TR 0130PM0300PM  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  CANCELED  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  CANCELED  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 104211  CALCULUS I  CREW, LOGAN  DAVID RITTENHOUSE LAB 2C4  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  CREW, LOGAN  DAVID RITTENHOUSE LAB 2C4  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  CREW, LOGAN  DAVID RITTENHOUSE LAB 3C2  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  CREW, LOGAN  DAVID RITTENHOUSE LAB 3C2  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  PATINI, ANGELA  DAVID RITTENHOUSE LAB 4E9  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  PATINI, ANGELA  DAVID RITTENHOUSE LAB 4E9  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  PATINI, ANGELA  DAVID RITTENHOUSE LAB 4E9  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  PATINI, ANGELA  DAVID RITTENHOUSE LAB 4E9  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 104221  CALCULUS I  SONG, TAO  DAVID RITTENHOUSE LAB 2C6  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  SONG, TAO  DAVID RITTENHOUSE LAB 2C6  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  SONG, TAO  DAVID RITTENHOUSE LAB 4C6  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; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104224  CALCULUS I  SONG, TAO  DAVID RITTENHOUSE LAB 4C6  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  HUYNH, KIET  DAVID RITTENHOUSE LAB 2C2  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 104232  CALCULUS I  HUYNH, KIET  DAVID RITTENHOUSE LAB 2C2  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 104233  CALCULUS I  HUYNH, KIET  DAVID RITTENHOUSE LAB 3C4  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 104234  CALCULUS I  HUYNH, KIET  DAVID RITTENHOUSE LAB 3C4  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  
MATH 104601  CALCULUS I  RIMMER, NAKIA  DAVID RITTENHOUSE LAB A2  TR 0630PM0845PM  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 110001  CALCULUS FOR WHARTON STU  GHINI BETTIOL, RENATO  CANCELED  Differential calculus, integral calculus, series, differential equations and elements of multivariable calculus, with an emphasis on applications. 

SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 110201  RECITATION  CANCELED  Differential calculus, integral calculus, series, differential equations and elements of multivariable calculus, with an emphasis on applications. 

SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 110202  RECITATION  CANCELED  Differential calculus, integral calculus, series, differential equations and elements of multivariable calculus, with an emphasis on applications. 

SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114001  LECTURE  TOWSNER, HENRY  DAVID RITTENHOUSE LAB A1  TR 1030AM1200PM  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  LECTURE  GHRIST, ROBERT  DAVID RITTENHOUSE LAB A1  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; ENGINEERING STUDENTS ONLY; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114003  LECTURE  RIMMER, NAKIA  DAVID RITTENHOUSE LAB A1  MWF 1000AM1100AM  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  LECTURE  SIMMONS, WILLIAM  DAVID RITTENHOUSE LAB A6  TR 0300PM0430PM  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  SCHAFFERCOHEN, ANSCHEL  DAVID RITTENHOUSE LAB 3C2  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  SCHAFFERCOHEN, ANSCHEL  DAVID RITTENHOUSE LAB 3C2  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  SCHAFFERCOHEN, ANSCHEL  DAVID RITTENHOUSE LAB 3C4  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  SCHAFFERCOHEN, ANSCHEL  DAVID RITTENHOUSE LAB 3C4  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  FRIEND, KEENAN  DAVID RITTENHOUSE LAB 4C6  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  FRIEND, KEENAN  DAVID RITTENHOUSE LAB 4C6  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 114207  CALCULUS II  FRIEND, KEENAN  DAVID RITTENHOUSE LAB 4C4  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 114208  CALCULUS II  FRIEND, KEENAN  DAVID RITTENHOUSE LAB 4C4  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 114211  CALCULUS II  GOODMAN, MCFEELY  DAVID RITTENHOUSE LAB 3C4  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 COURSE; FORMAL REASONING  
MATH 114212  CALCULUS II  GOODMAN, MCFEELY  DAVID RITTENHOUSE LAB 3C4  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; ENGINEERING STUDENTS ONLY; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114213  CALCULUS II  GOODMAN, MCFEELY  DAVID RITTENHOUSE LAB 2C4  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; ENGINEERING STUDENTS ONLY; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114214  CALCULUS II  LYNCH, DILLON  DAVID RITTENHOUSE LAB 2C4  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; ENGINEERING STUDENTS ONLY; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114215  CALCULUS II  LYNCH, DILLON  DAVID RITTENHOUSE LAB 4E19  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 COURSE; FORMAL REASONING  
MATH 114216  CALCULUS II  LYNCH, DILLON  DAVID RITTENHOUSE LAB 4E19  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; ENGINEERING STUDENTS ONLY; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114221  CALCULUS II  LEE, SUKJOO  DAVID RITTENHOUSE LAB 2C8  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  LEE, SUKJOO  DAVID RITTENHOUSE LAB 2C8  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  LEE, SUKJOO  DAVID RITTENHOUSE LAB 2C8  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  LEE, SUKJOO  DAVID RITTENHOUSE LAB 2C8  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  FENG, FLORA  DAVID RITTENHOUSE LAB 4C4  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  
MATH 114226  CALCULUS II  FENG, FLORA  DAVID RITTENHOUSE LAB 4C4  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 114227  CALCULUS II  FENG, FLORA  DAVID RITTENHOUSE LAB 4C8  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  
MATH 114228  CALCULUS II  FENG, FLORA  DAVID RITTENHOUSE LAB 4C8  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  
MATH 114231  CALCULUS II  LIU, JASON  DAVID RITTENHOUSE LAB 2C8  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  
MATH 114232  CALCULUS II  LIU, JASON  DAVID RITTENHOUSE LAB 2C8  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  
MATH 114233  CALCULUS II  LIU, JASON  DAVID RITTENHOUSE LAB 3C6  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  
MATH 114234  CALCULUS II  LIU, JASON  DAVID RITTENHOUSE LAB 3C6  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  
MATH 114601  CALCULUS II  HUGHES, ANTHONY  DAVID RITTENHOUSE LAB 3C4  MW 0630PM0845PM  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. 

FORMAL REASONING COURSE; FORMAL REASONING  
MATH 115001  LECTURE: CALCULUS II PROB&MATRIC  WILSON, ANDREW  DAVID RITTENHOUSE LAB 4C4  TR 1030AM1200PM  Functions of several variables, partial derivatives, multiple integrals, differential equations; introduction to linear algebra and matrices with applications to linear programming and Markov processes. Elements of probability and statistics. Applications to social and biological sciences. Use of symbolic manipulation and graphics software in calculus. 

SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 115201  CALCULUS II PROB&MATRIC  CLEARWATER, ADAM  DAVID RITTENHOUSE LAB 4E9  M 0800AM0900AM  Functions of several variables, partial derivatives, multiple integrals, differential equations; introduction to linear algebra and matrices with applications to linear programming and Markov processes. Elements of probability and statistics. Applications to social and biological sciences. Use of symbolic manipulation and graphics software in calculus. 

SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 115202  CALCULUS II PROB&MATRIC  CLEARWATER, ADAM  DAVID RITTENHOUSE LAB 4E9  M 0900AM1000AM  Functions of several variables, partial derivatives, multiple integrals, differential equations; introduction to linear algebra and matrices with applications to linear programming and Markov processes. Elements of probability and statistics. Applications to social and biological sciences. Use of symbolic manipulation and graphics software in calculus. 

SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 115203  CALCULUS II PROB&MATRIC  CLEARWATER, ADAM  DAVID RITTENHOUSE LAB 4E19  F 0800AM0900AM  Functions of several variables, partial derivatives, multiple integrals, differential equations; introduction to linear algebra and matrices with applications to linear programming and Markov processes. Elements of probability and statistics. Applications to social and biological sciences. Use of symbolic manipulation and graphics software in calculus. 

SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 115204  CALCULUS II PROB&MATRIC  CLEARWATER, ADAM  DAVID RITTENHOUSE LAB 4E9  F 0900AM1000AM  Functions of several variables, partial derivatives, multiple integrals, differential equations; introduction to linear algebra and matrices with applications to linear programming and Markov processes. Elements of probability and statistics. Applications to social and biological sciences. Use of symbolic manipulation and graphics software in calculus. 

SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 123001  COMMUNITY MATH TEACH PRO  STOVALL, IDRIS  DAVID RITTENHOUSE LAB 4C6  TR 0615PM0830PM  This course allows Penn students to teach a series of handson activities to students in math classes at University City High School. The semester starts with an introduction to successful approaches for teaching math in urban high schools. The rest of the semester will be devoted to a series of weekly handson activities designed to teach fundamental aspects of geometry. The first class meeting of each week, Penn faculty teach Penn students the relevant mathematical background and techniques for a handson activity. During the second session of each week, Penn students will teach the handson activity to a small group of UCHS students. The Penn students will also have an opportunity to develop their own activity and to implement it with the UCHS students. 

AN ACADEMICALLY BASED COMMUNITY SERV COURSE  
MATH 170001  IDEAS IN MATHEMATICS  HARTMANN, JULIA  DAVID RITTENHOUSE LAB A8  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. 

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  WANG, ZHENFU  DAVID RITTENHOUSE LAB A8  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. 

Nat Sci & Math Sector (new curriculum only)  SECTION ACTIVITY COREQUISITE REQUIRED; NATURAL SCIENCE & MATH SECTOR; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 170201  RECITATION  SEIDMAN, JACOB  DAVID RITTENHOUSE LAB 3C2  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. 

Nat Sci & Math Sector (new curriculum only)  SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 170202  RECITATION  SEIDMAN, JACOB  DAVID RITTENHOUSE LAB 3C2  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. 

Nat Sci & Math Sector (new curriculum only)  SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 170203  RECITATION  SEIDMAN, JACOB  DAVID RITTENHOUSE LAB 2C4  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. 

Nat Sci & Math Sector (new curriculum only)  SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 170204  RECITATION  WINNER, SHANE  DAVID RITTENHOUSE LAB 2C4  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. 

Nat Sci & Math Sector (new curriculum only)  SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 170205  RECITATION  WINNER, SHANE  DAVID RITTENHOUSE LAB 4C2  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. 

Nat Sci & Math Sector (new curriculum only)  SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 170206  RECITATION  WINNER, SHANE  DAVID RITTENHOUSE LAB 3C6  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. 

Nat Sci & Math Sector (new curriculum only)  SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 170211  RECITATION  ROMAN, SERGIO  DAVID RITTENHOUSE LAB 4C8  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. 

Nat Sci & Math Sector (new curriculum only)  SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 170212  RECITATION  ROMAN, SERGIO  DAVID RITTENHOUSE LAB 4E19  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. 

Nat Sci & Math Sector (new curriculum only)  SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 170213  RECITATION  ROMAN, SERGIO  DAVID RITTENHOUSE LAB 4C8  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. 

Nat Sci & Math Sector (new curriculum only)  SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 170214  RECITATION  ROMAN, SERGIO  DAVID RITTENHOUSE LAB 4C8  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. 

Nat Sci & Math Sector (new curriculum only)  SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 170601  IDEAS IN MATHEMATICS  CROTTY, EDWARD  DAVID RITTENHOUSE LAB 3C8  TR 0630PM0845PM  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. 

Nat Sci & Math Sector (new curriculum only)  NATURAL SCIENCE & MATH SECTOR; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 203101  LABORATORY  FURASH, ANDREW  DAVID RITTENHOUSE LAB 3C2  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  FURASH, ANDREW  DAVID RITTENHOUSE LAB 3C2  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  SIMMONS, WILLIAM  DAVID RITTENHOUSE LAB 3C8  TR 1030AM1200PM  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  CHINBURG, TED  DAVID RITTENHOUSE LAB 4C6  TR 0300PM0430PM  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. 

FRESHMAN SEMINAR; COLLEGE QUANTITATIVE DATA ANALYSIS REQ.; FRESHMAN SEMINAR; QUANTITATIVE DATA ANALYSIS COURSE  
MATH 240001  LECTURE  PIMSNER, MICHAEL  ANNENBERG SCHOOL 110  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  LECTURE  CHAI, CHINGLI  DAVID RITTENHOUSE LAB A1  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  LECTURE  POWERS, ROBERT  DAVID RITTENHOUSE LAB A8  TR 0300PM0430PM  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  LEE, JIA  DAVID RITTENHOUSE LAB 4C2  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  LEE, JIA  DAVID RITTENHOUSE LAB 4C2  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  LEE, JIA  DAVID RITTENHOUSE LAB 3C8  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  LEE, JIA  DAVID RITTENHOUSE LAB 3C8  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  ISLAM, NIBRAS  DAVID RITTENHOUSE LAB 4C6  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  ISLAM, NIBRAS  DAVID RITTENHOUSE LAB 4C6  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  ISLAM, NIBRAS  DAVID RITTENHOUSE LAB 3C6  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  ISLAM, NIBRAS  DAVID RITTENHOUSE LAB 3C6  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  LI, YILUN  DAVID RITTENHOUSE LAB 3C8  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  LI, YILUN  DAVID RITTENHOUSE LAB 3C8  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  LI, YILUN  DAVID RITTENHOUSE LAB 4C4  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  LI, YILUN  DAVID RITTENHOUSE LAB 3C8  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  CANCELED  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  CANCELED  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  CANCELED  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  CANCELED  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  YEO, YAORUI  DAVID RITTENHOUSE LAB 3C2  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 240222  CALCULUS III  YEO, YAORUI  DAVID RITTENHOUSE LAB 3C2  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 240223  CALCULUS III  YEO, YAORUI  DAVID RITTENHOUSE LAB 3C2  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 240224  CALCULUS III  IONITA, MATEI  DAVID RITTENHOUSE LAB 3C2  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 240225  CALCULUS III  IONITA, MATEI  DAVID RITTENHOUSE LAB 4E19  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 240226  CALCULUS III  IONITA, MATEI  DAVID RITTENHOUSE LAB 3C8  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 240601  CALCULUS III  CLEE, WILLIAM  DAVID RITTENHOUSE LAB 4C8  TR 0630PM0845PM  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. 


MATH 241001  LECTURE  MCGRATH, PETER  DAVID RITTENHOUSE LAB A4  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 241002  LECTURE  HILBURN, JUSTIN  DAVID RITTENHOUSE LAB A4  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 241201  CALCULUS IV  MORRISSEY, BENEDICT  DAVID RITTENHOUSE LAB 4C2  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 241202  CALCULUS IV  MORRISSEY, BENEDICT  DAVID RITTENHOUSE LAB 4C2  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 241203  CALCULUS IV  MORRISSEY, BENEDICT  DAVID RITTENHOUSE LAB 4C2  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 241204  CALCULUS IV  MORRISSEY, BENEDICT  DAVID RITTENHOUSE LAB 4C2  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 241211  CALCULUS IV  LEE, DARRICK  DAVID RITTENHOUSE LAB 2C2  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 241212  CALCULUS IV  LEE, DARRICK  DAVID RITTENHOUSE LAB 2C2  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 241213  CALCULUS IV  LEE, DARRICK  DAVID RITTENHOUSE LAB 2C2  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 241214  CALCULUS IV  LEE, DARRICK  DAVID RITTENHOUSE LAB 2C2  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 260001  HONORS CALCULUS (CONTINUATION)  PIMSNER, MICHAEL  DAVID RITTENHOUSE LAB 3C6  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)  SHA, CONGZHOU  DAVID RITTENHOUSE LAB 4C4  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)  SHA, CONGZHOU  DAVID RITTENHOUSE LAB 4C4  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 299001  UNDERGRAD RES IN MATH  HYND, RYAN  DAVID RITTENHOUSE LAB 4C4  TR 0130PM0300PM 


MATH 312001  LINEAR ALGEBRA  PALVANNAN, BHARATHWAJ  DAVID RITTENHOUSE LAB A4  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. 


MATH 312002  LINEAR ALGEBRA  ZHU, YUECHENG  DAVID RITTENHOUSE LAB A2  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. 


MATH 313401  COMPUTER LINEAR ALGEBRA  JANG, MI  DAVID RITTENHOUSE LAB 4C6  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. 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  GRASSI, ANTONELLA  DAVID RITTENHOUSE LAB A1  TR 0900AM1030AM  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  
MATH 314402  LABORATORY  ZANARDINI, ALINE  DAVID RITTENHOUSE LAB 3C2  T 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  
MATH 314403  LABORATORY  ZANARDINI, ALINE  DAVID RITTENHOUSE LAB 3C2  R 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  
MATH 341401  DISCRETE MATHEMATICS II  SCEDROV, ANDRE  DAVID RITTENHOUSE LAB 4C2  TR 1200PM0130PM  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  KAREMAKER, VALENTIJN  DAVID RITTENHOUSE LAB 4C8  MWF 0100PM0200PM  Congruences, Diophantine equations, continued fractions, nonlinear congruences,and quadratic residues. 


MATH 360001  ADVANCED CALCULUS  MCGRATH, PETER  DAVID RITTENHOUSE LAB 3C2  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  KRISHNAN, ANUSHA  DAVID RITTENHOUSE LAB 4E9  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  KRISHNAN, ANUSHA  DAVID RITTENHOUSE LAB 4E9  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  WANG, ZHENFU  TOWNE BUILDING 311  TR 1030AM1200PM  Continuation of MATH 360. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 361101  LABORATORY  MAI, HUY  DAVID RITTENHOUSE LAB 4C2  M 0630PM0830PM  Continuation of MATH 360. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 361102  LABORATORY  MAI, HUY  DAVID RITTENHOUSE LAB 4C2  W 0630PM0830PM  Continuation of MATH 360. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 370001  ALGEBRA  KIRILLOV, ALEXANDRE  DAVID RITTENHOUSE LAB A4  TR 1200PM0130PM  Syllabus for MATH 370371: an introduction to the basic concepts of modern algebra. Linear algebra, eigenvalues and eigenvectors of matrices, groups, rings and fields. MATH 502503 is a masters level version of this course. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 370101  LABORATORY  ZENG, QINGYUN  DAVID RITTENHOUSE LAB 3C6  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. MATH 502503 is a masters level version of this course. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 370102  LABORATORY  ZENG, QINGYUN  DAVID RITTENHOUSE LAB 3C6  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. MATH 502503 is a masters level version of this course. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 371001  ALGEBRA  WIBMER, MICHAEL  DAVID RITTENHOUSE LAB 3C8  TR 1200PM0130PM  Continuation of MATH 370. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 371101  LABORATORY  BROOKS, THOMAS  DAVID RITTENHOUSE LAB 2C4  M 0630PM0830PM  Continuation of MATH 370. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 371102  LABORATORY  BROOKS, THOMAS  DAVID RITTENHOUSE LAB 2C4  W 0630PM0830PM  Continuation of MATH 370. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 425401  PARTIAL DIFFERENTIAL EQUATIONS  TASKOVIC, MAJA  DAVID RITTENHOUSE LAB A2  TR 0900AM1030AM  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  GHINI BETTIOL, RENATO  DAVID RITTENHOUSE LAB 4C2  TR 0130PM0300PM  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  GHINI BETTIOL, RENATO  DAVID RITTENHOUSE LAB 4C2  TR 0130PM0300PM  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  HARBATER, DAVID  DAVID RITTENHOUSE LAB 4C6  MW 1030AM1200PM  Continuation of Math 502. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 503101  LABORATORY  GUO, YUBO  DAVID RITTENHOUSE LAB 4C2  T 0630PM0830PM  Continuation of Math 502. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 503102  LABORATORY  GUO, YUBO  DAVID RITTENHOUSE LAB 4C2  R 0630PM0830PM  Continuation of Math 502. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 509001  ADVANCED ANALYSIS  EPSTEIN, CHARLES  DAVID RITTENHOUSE LAB A1  TR 0300PM0430PM  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  HENG, SIYU  DAVID RITTENHOUSE LAB 4C8  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  HENG, SIYU  DAVID RITTENHOUSE LAB 4C8  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  COMPUTER LINEAR ALGEBRA  JANG, MI  DAVID RITTENHOUSE LAB 4C6  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  GRASSI, ANTONELLA  DAVID RITTENHOUSE LAB A1  TR 0900AM1030AM  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  
MATH 514402  LABORATORY  ZANARDINI, ALINE  DAVID RITTENHOUSE LAB 3C2  T 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  
MATH 514403  LABORATORY  ZANARDINI, ALINE  DAVID RITTENHOUSE LAB 3C2  R 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  
MATH 520401  SELECTIONS FROM ALGEBRA  CHINBURG, TED  DAVID RITTENHOUSE LAB 4N30 
TR 0900AM1030AM TR 1200PM0130PM 
Informal introduction to such subjects as homological algebra, number theory, and algebraic geometry. 


MATH 530001  MATH OF FINANCE  HYND, RYAN  DAVID RITTENHOUSE LAB 4C8  TR 1030AM1200PM  This course presents the basic mathematical tools to model financial markets and to make calculations about financial products, especially financial derivatives. Mathematical topics covered: stochastic processes, partial differential equations and their relationship. No background in finance is assumed. 


MATH 547401  STOCHASTIC PROCESSES  PEMANTLE, ROBIN  DAVID RITTENHOUSE LAB 4C4  MF 1030AM1200PM  Markov chains, Markov processes, and their limit theory. Renewal theory. Martingales and optimal stopping. Stable laws and processes with independent increments. Brownian motion and the theory of weak convergence. Point processes. 

UNDERGRADUATES NEED PERMISSION  
MATH 561401  SELECT GEOMTRY & TOPOLGY  BLOCK, JONATHAN  DAVID RITTENHOUSE LAB 3C4  TR 0130PM0300PM  Informal introduction to such subjects as homology and homotopy theory, classical differential geometry, dynamical systems, and knot theory. 


MATH 571401  TOPICS IN LOGIC  WEINSTEIN, SCOTT  DAVID RITTENHOUSE LAB 4C8  MWF 0200PM0300PM  Continuation of Math 570. 


MATH 581001  COMB ANAL & GRAPH THRY  WILSON, ANDREW  DAVID RITTENHOUSE LAB 4C4  TR 1200PM0130PM  Continuation of Math 580. 


MATH 601001  GEO ANALYSIS & TOPOLOGY  GLUCK, HERMAN  DAVID RITTENHOUSE LAB 4E19  TR 0130PM0300PM  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  HARTMANN, JULIA  DAVID RITTENHOUSE LAB 4C8  MW 1030AM1200PM  Continuation of Math 602. 


MATH 609401  ANALYSIS  GRESSMAN, PHILIP  DAVID RITTENHOUSE LAB 4E19  TR 1030AM1200PM  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 621001  ALGEBRAIC NUMBER THEORY  PALVANNAN, BHARATHWAJ  DAVID RITTENHOUSE LAB 3C2  MW 1200PM0130PM  Continuation of Math 620. 


MATH 623001  COMPLEX ALGEBRAIC GEOM  PANTEV, TONY  DAVID RITTENHOUSE LAB 4C6  MF 0130PM0300PM  Continuation of Math 622. 


MATH 634001  ARITHMETIC GEOMETRY  POP, FLORIAN  DAVID RITTENHOUSE LAB 3C2  MW 0130PM0300PM  Arithmetic Geometry 


MATH 645001  PARTIAL DIFFER EQUATIONS  STRAIN, ROBERT 
M 1200PM0200PM W 1200PM0100PM 
Subject matter varies from year to year. Some topics are: the classical theory of the wave and Laplace equations, general hyperbolic and elliptic equations, theory of equations with constant coefficients, pseudodifferential operators, and nonlinear problems. Sobolev spaces and the theory of distributions will be developed as needed. 


MATH 655001  LIE GROUPS  KIRILLOV, ALEXANDRE  DAVID RITTENHOUSE LAB 4N30  TR 0130PM0300PM  Continuation of Math 654. 


MATH 661001  DIFFERENTIAL GEOMETRY  WEBER, BRIAN  DAVID RITTENHOUSE LAB 4C4  TR 0300PM0430PM  Continuation of Math 660. 


MATH 671401  TOPICS IN LOGIC  WEINSTEIN, SCOTT  DAVID RITTENHOUSE LAB 4C8  MWF 0200PM0300PM  Discusses advanced topics in logic. 


MATH 695001  MATH FOUND THEOR PHYSICS  DONAGI, RON  DAVID RITTENHOUSE LAB 4C2  TR 0300PM0430PM  Selected topics in mathematical physics, such as mathematical methods of classical mechanics, electrodynamics, relativity, quantum mechanics and quantum field theory. 


MATH 702401  TOPICS IN ALGEBRA  CHINBURG, TED  DAVID RITTENHOUSE LAB 4N30 
TR 0900AM1030AM TR 1200PM0130PM 
Topics from the literature. The specific subjects will vary from year to year. 


MATH 721001  ADVANCED NUMBER THEORY  CANCELED  Continuation of Math 720. 


MATH 731401  TPCS ALG & DIFF TOPOLOGY  BLOCK, JONATHAN  DAVID RITTENHOUSE LAB 3C4  TR 0130PM0300PM  Topics from the literature. The specific subjects will vary from year to year. 


MATH 748001  TOPICS IN CLASS ANALYSIS  STRAIN, ROBERT 
DAVID RITTENHOUSE LAB 4N49 DAVID RITTENHOUSE LAB 4N49 
M 1200PM0200PM W 1200PM0100PM 
Harmonic analysis in Euclidean space, Riemann surfaces, Discontinuous groups and harmonic analysis in hyperbolic space, Pseudodifferential operators and index theorems, Variational methods in nonlinear PDE, Hyperbolic equations and conservation laws, Probability and stochastic processes, Geometric measure theory, Applications of analysis to problems in differential geometry. The specific subjects will vary from year to year. 


MATH 753001  TOPICS IN OPERATOR THRY  KADISON, RICHARD  DAVID RITTENHOUSE LAB 3W2  TR 0130PM0300PM  Topics from the literature. The specific subjects will vary from year to year. 


MATH 761001  TOPCS DIFFER GEOMETRY  MAXIMOALEXANDRINONOGUEIR, DAV  DAVID RITTENHOUSE LAB 3C2  MW 1030AM1200PM  Topics from the literature. The specific subjects will vary from year to year. 
