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

AMCS 510401  COMPLEX ANALYSIS  TR 0130PM0300PM  Complex numbers, DeMoivre's theorem, complex valued functions of a complex variable, the derivative, analytic functions, the CauchyRiemann equations, complex integration, Cauchy's integral theorem, residues, computation of definite integrals by residues, and elementary conformal mapping. 


AMCS 514101  LABORATORY  T 0630PM0745PM  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 514102  LABORATORY  R 0630PM0745PM  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 514401  ADVANCED LINEAR ALGEBRA  HARTMANN, JULIA  MW 1030AM1200PM  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 520401  ORDINARY DIFFERENTIAL EQUATIONS  TR 1200PM0130PM  After a rapid review of the basic techniques for solving equations, the course will discuss one or more of the following topics: stability of linear and nonlinear systems, boundary value problems and orthogonal functions, numerical techniques, Laplace transform methods. 


AMCS 602001  ALGEBRAIC TECHIQUES I: Algebraic Techniques for Applied Math and Computational Science I  MORI, YOICHIRO  TR 1030AM1200PM  We turn to linear algebra and the structural properties of linear systems of equations relevant to their numerical solution. In this context we introduce eigenvalues and the spectral theory of matrices. Methods appropriate to the numerical solution of very large systems are discussed. We discuss modern techniques using randomized algorithms for fast matrixvector multiplication, and fast direct solvers. Topics covered include the classical Fast Multipole Method, the interpolative decomposition, structured matrix algebra, randomized methods for lowrank approximation, and fast direct solvers for sparse matrices. These techniques are of central importance in applications of linear algebra to the numerical solution of PDE, and in Machine Learning. The theoretical content of this course is illustrated and supplemented throughout the year with substantial computational examples and assignments. 


AMCS 608401  ANALYSIS I  HYND, RYAN  TR 0130PM0300PM  Complex analysis: analyticity, Cauchy theory, meromorphic functions, isolated singularities, analytic continuation, Runge's theorem, dbar equation, MittlagLeffler theorem, harmonic and subharmonic functions, Riemann mapping theorem, Fourier transform from the analytic perspective. Introduction to Real Analysis: Weierstrass approximation, Lebesgue measure and integration Euclideanspaces, Borel measures and convergence theorems, C0 and the RieszMarkov theorem, Lpspaces, Fubini's Theorem. 

UNDERGRADUATES NEED PERMISSION  
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; FORMAL REASONING & ANALYSIS; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 103002  INTRODUCTION TO CALCULUS  TR 1200PM0130PM  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 & ANALYSIS; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 103101  LABORATORY  W 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  SECTION ACTIVITY COREQUISITE REQUIRED; PERMISSION NEEDED FROM DEPARTMENT  
MATH 103102  LABORATORY  T 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  SECTION ACTIVITY COREQUISITE REQUIRED  
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 103205  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 103206  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 103207  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 103208  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 103211  INTRODUCTION TO CALCULUS  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  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  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  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 103215  INTRODUCTION TO CALCULUS  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 103216  INTRODUCTION TO CALCULUS  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 103217  INTRODUCTION TO CALCULUS  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 103218  INTRODUCTION TO CALCULUS  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 104001  CALCULUS I  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 104002  CALCULUS I  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 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; STRUCTURED,ACTIVE,INCLASS LEARNING; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104004  CALCULUS I  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; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104005  CALCULUS I  TR 0300PM0430PM  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 104006  CALCULUS I  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; ENGINEERING STUDENTS ONLY; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104007  CALCULUS I  MWF 0100PM0200PM  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 104008  CALCULUS I  MWF 0200PM0300PM  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 104201  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 104202  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 104203  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 104204  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 104205  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 104206  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 104207  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 104208  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 104211  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 104212  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 104213  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 104214  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 104215  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 104216  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 104217  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 104218  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 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 104231  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 104232  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 104233  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; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104234  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 104235  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 104236  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 104237  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; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104238  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 104241  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; STRUCTURED,ACTIVE,INCLASS LEARNING; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104242  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; STRUCTURED,ACTIVE,INCLASS LEARNING; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104243  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 104244  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 104245  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  
MATH 104246  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  
MATH 104247  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 104248  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 104251  CALCULUS I  T 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; ENGINEERING STUDENTS ONLY; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104252  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; ENGINEERING STUDENTS ONLY; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104253  CALCULUS I  R 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; ENGINEERING STUDENTS ONLY; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104254  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; ENGINEERING STUDENTS ONLY; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104255  CALCULUS I  T 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; ENGINEERING STUDENTS ONLY; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104256  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; ENGINEERING STUDENTS ONLY; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 104261  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 104262  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 104263  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 104264  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 104265  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 104266  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 104267  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 104268  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 104271  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 104272  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 104273  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 104274  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 104275  CALCULUS I  T 0600PM0700PM  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 104276  CALCULUS I  T 0700PM0800PM  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 104277  CALCULUS I  R 0600PM0700PM  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 104278  CALCULUS I  R 0700PM0800PM  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 104601  CALCULUS I  BASU, SUKALPA 
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 110001  CALCULUS FOR WHARTON STU  MWF 1000AM1100AM  Differential calculus, integral calculus, series, differential equations and elements of multivariable calculus, with an emphasis on applications. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 110201  RECITATION  TR 0800AM0900AM  Differential calculus, integral calculus, series, differential equations and elements of multivariable calculus, with an emphasis on applications. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 110202  RECITATION  TR 0900AM1000AM  Differential calculus, integral calculus, series, differential equations and elements of multivariable calculus, with an emphasis on applications. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 114001  CALCULUS II  MWF 1100AM1200PM  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  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 114003  CALCULUS II  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 114004  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; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 114005  CALCULUS II  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; ENGINEERING STUDENTS ONLY  
MATH 114201  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 114202  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 114203  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 114204  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 114205  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 114206  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 114207  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 114208  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 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  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 114214  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 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; FORMAL REASONING COURSE; 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  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 114218  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 114221  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 114222  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 114223  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 114224  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 114225  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 114226  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 114227  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 114228  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 114231  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 114232  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 114233  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 114234  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 114235  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 114236  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 114237  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 114238  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 114241  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  
MATH 114242  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; ENGINEERING STUDENTS ONLY  
MATH 114243  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; ENGINEERING STUDENTS ONLY  
MATH 114244  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; ENGINEERING STUDENTS ONLY  
MATH 114245  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  
MATH 114246  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; ENGINEERING STUDENTS ONLY  
MATH 114247  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; ENGINEERING STUDENTS ONLY  
MATH 114248  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; ENGINEERING STUDENTS ONLY  
MATH 114601  CALCULUS II  TR 0630PM0830PM  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 116001  HONORS CALCULUS  TR 0130PM0300PM  Students who are interested in math or science might also want to consider a more challenging Honors version of Calculus II and III, Math 116 and Math 260 (the analogues of Math 114 and Math 240, respectively). These courses will cover essentially the same material as 114 and 240, but more in depth and involve discussion of the underlying theory as well as computations. 

SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 116201  HONORS CALCULUS  M 0600PM0730PM  Students who are interested in math or science might also want to consider a more challenging Honors version of Calculus II and III, Math 116 and Math 260 (the analogues of Math 114 and Math 240, respectively). These courses will cover essentially the same material as 114 and 240, but more in depth and involve discussion of the underlying theory as well as computations. 

SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 116202  HONORS CALCULUS  M 0730PM0900PM  Students who are interested in math or science might also want to consider a more challenging Honors version of Calculus II and III, Math 116 and Math 260 (the analogues of Math 114 and Math 240, respectively). These courses will cover essentially the same material as 114 and 240, but more in depth and involve discussion of the underlying theory as well as computations. 

SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 116203  HONORS CALCULUS  M 0600PM0730PM  Students who are interested in math or science might also want to consider a more challenging Honors version of Calculus II and III, Math 116 and Math 260 (the analogues of Math 114 and Math 240, respectively). These courses will cover essentially the same material as 114 and 240, but more in depth and involve discussion of the underlying theory as well as computations. 

SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 116204  HONORS CALCULUS  M 0730PM0900PM  Students who are interested in math or science might also want to consider a more challenging Honors version of Calculus II and III, Math 116 and Math 260 (the analogues of Math 114 and Math 240, respectively). These courses will cover essentially the same material as 114 and 240, but more in depth and involve discussion of the underlying theory as well as computations. 

SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING  
MATH 122001  COMMUNITY ALGEBRA INITIA  STOVALL, IDRIS  TR 0615PM0830PM  Community Algebra Initiative 

AN ACADEMICALLY BASED COMMUNITY SERV COURSE  
MATH 123001  COMMUNITY MATH TEACH PRO  TR 1200PM0130PM  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. 


MATH 170001  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 170002  IDEAS IN MATHEMATICS  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 170201  RECITATION  M 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 170202  RECITATION  M 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 170203  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 170204  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 170211  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 170212  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 170213  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 170214  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 170601  IDEAS IN MATHEMATICS  MW 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 202101  LABORATORY  T 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 real and complex numbers, sequences, series, continuity, differentiability and integrability. 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 202102  LABORATORY  R 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 real and complex numbers, sequences, series, continuity, differentiability and integrability. 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 202301  PROVING THINGS: ANALYSIS  MWF 1100AM1200PM  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 real and complex numbers, sequences, series, continuity, differentiability and integrability. 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 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  TR 0900AM1030AM  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; ENGINEERING STUDENTS ONLY  
MATH 240003  CALCULUS III  MWF 1200PM0100PM  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 240004  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 240201  CALCULUS III  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  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  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  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  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  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  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  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  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; ENGINEERING STUDENTS ONLY  
MATH 240212  CALCULUS III  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; ENGINEERING STUDENTS ONLY  
MATH 240213  CALCULUS III  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; ENGINEERING STUDENTS ONLY  
MATH 240214  CALCULUS III  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; ENGINEERING STUDENTS ONLY  
MATH 240215  CALCULUS III  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; ENGINEERING STUDENTS ONLY  
MATH 240216  CALCULUS III  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; ENGINEERING STUDENTS ONLY  
MATH 240221  CALCULUS III  T 0830AM0930AM  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  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 240223  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 240224  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 240231  CALCULUS III  T 0830AM0930AM  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 240232  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 240233  CALCULUS III  R 0830AM0930AM  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 240234  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 241001  LECTURE  MWF 0100PM0200PM  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  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  W 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  W 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 312001  LINEAR ALGEBRA  TR 0130PM0300PM  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  MWF 1200PM0100PM  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 314101  LABORATORY  T 0630PM0745PM  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 314102  LABORATORY  R 0630PM0745PM  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 314401  ADVANCED LINEAR ALGEBRA  HARTMANN, JULIA  MW 1030AM1200PM  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 320001  COMPUTER METHODS I  TR 1200PM0130PM  Students will use symbolic manipulation software and write programs to solve problems in numerical quadrature, equationsolving, linear algebra and differential equations. Theoretical and computational aspects of the methods will be discussed along with error analysis and a critical comparison of methods. 


MATH 340401  DISCRETE MATHEMATICS I  TR 1030AM1200PM  Topics will be drawn from some subjects in combinatorial analysis with applications to many other branches of math and science: graphs and networks, generating functions, permutations, posets, asymptotics. 


MATH 360001  ADVANCED CALCULUS  MWF 1100AM1200PM  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  T 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  R 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  TR 0300PM0430PM  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  MWF 1000AM1100AM  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  T 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  R 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  MWF 1000AM1100AM  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  T 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  R 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 410401  COMPLEX ANALYSIS  TR 0130PM0300PM  Complex numbers, DeMoivre's theorem, complex valued functions of a complex variable, the derivative, analytic functions, the CauchyRiemann equations, complex integration, Cauchy's integral theorem, residues, computation of definite integrals by residues, and elementary conformal mapping. 


MATH 420401  ORDINARY DIFFERENTIAL EQUATIONS  TR 1200PM0130PM  After a rapid review of the basic techniques for solving equations, the course will discuss one or more of the following topics: stability of linear and nonlinear systems, boundary value problems and orthogonal functions, numerical techniques, Laplace transform methods. 


MATH 432001  GAME THEORY  TR 0900AM1030AM  A mathematical approach to game theory, with an emphasis on examples of actual games. Topics will include mathematical models of games, combinatorial games, two person (zero sum and general sum) games, noncooperating games and equilibria. 


MATH 460401  TOPOLOGY  LICHTENFELZ, LEANDRO  TR 1030AM1200PM  Point set topology: metric spaces and topological spaces, compactness, connectedness, continuity, extension theorems, separation axioms, quotient spaces, topologies on function spaces, Tychonoff theorem. Fundamental groups and covering spaces, and related topics. 


MATH 500401  TOPOLOGY  LICHTENFELZ, LEANDRO  TR 1030AM1200PM  Point set topology: metric spaces and topological spaces, compactness, connectedness, continuity, extension theorems, separation axioms, quotient spaces, topologies on function spaces, Tychonoff theorem. Fundamental groups and covering spaces, and related topics. 

UNDERGRADUATES NEED PERMISSION  
MATH 502001  ABSTRACT ALGEBRA  BELL, RENEE  MW 1030AM1200PM  An introduction to groups, rings, fields and other abstract algebraic systems, elementary Galois Theory, and linear algebra  a more theoretical course than Math 370. Prerequisite: If course requirement not met, permission of instructor required. 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; UNDERGRADUATES NEED PERMISSION  
MATH 502101  LABORATORY  T 0630PM0745PM  An introduction to groups, rings, fields and other abstract algebraic systems, elementary Galois Theory, and linear algebra  a more theoretical course than Math 370. Prerequisite: If course requirement not met, permission of instructor required. 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 502102  LABORATORY  R 0630PM0745PM  An introduction to groups, rings, fields and other abstract algebraic systems, elementary Galois Theory, and linear algebra  a more theoretical course than Math 370. Prerequisite: If course requirement not met, permission of instructor required. 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 508001  ADVANCED ANALYSIS  GRESSMAN, PHILIP  TR 0130PM0300PM  Construction of real numbers, the topology of the real line and the foundations of single variable calculus. Notions of convergence for sequences of functions. Basic approximation theorems for continuous functions and rigorous treatment of elementary transcendental functions. The course is intended to teach students how to read and construct rigorous formal proofs. A more theoretical course than Math 360. 

SECTION ACTIVITY COREQUISITE REQUIRED; UNDERGRADUATES NEED PERMISSION  
MATH 508101  LABORATORY  M 0630PM0745PM  Construction of real numbers, the topology of the real line and the foundations of single variable calculus. Notions of convergence for sequences of functions. Basic approximation theorems for continuous functions and rigorous treatment of elementary transcendental functions. The course is intended to teach students how to read and construct rigorous formal proofs. A more theoretical course than Math 360. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 508102  LABORATORY  W 0630PM0745PM  Construction of real numbers, the topology of the real line and the foundations of single variable calculus. Notions of convergence for sequences of functions. Basic approximation theorems for continuous functions and rigorous treatment of elementary transcendental functions. The course is intended to teach students how to read and construct rigorous formal proofs. A more theoretical course than Math 360. 

SECTION ACTIVITY COREQUISITE REQUIRED  
MATH 514101  LABORATORY  T 0630PM0745PM  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 514102  LABORATORY  R 0630PM0745PM  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 514401  ADVANCED LINEAR ALGEBRA  HARTMANN, JULIA  MW 1030AM1200PM  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  MF 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 570401  Introduction to Logic & Computability  TOWSNER, HENRY  TR 0300PM0430PM  Propositional logic: semantics, formal deductions, resolution method. First order logic: validity, models, formal deductions; Godel's completeness theorem, LowenheimSkolem theorem: cutelimination, Herbrand's theorem, resolution method.Computability: finite automata, Turing machines, Godel's incompleteness theorems. Algorithmically unsolvable problems in mathematics. 

UNDERGRADUATES NEED PERMISSION  
MATH 580001  COMB ANAL & GRAPH THRY  TEWARI, VASU  TR 1200PM0130PM  Generating functions, enumeration methods, Polya's theorem, combinatorial designs, discrete probability, extremal graphs, graph algorithms and spectral graph theory, combinatorial and computational geometry. 

UNDERGRADUATES NEED PERMISSION  
MATH 594401  MATHEMATICAL METHODS OF PHYSICS  GOULIAN, MARK  TR 1030AM1200PM  Introduction to mathematics used in physics and engineering, with the goal of developing facility in classical techniques. Vector spaces, linear algebra, computation of eigenvalues and eigenvectors, boundary value problems, spectral theory of second order equations, asymptotic expansions, partial differential equations, differential operators and Green's functions, orthogonal functions, generating functions, contour integration, Fourier and Laplace transforms and an introduction to representation theory of SU(2) and SO(3). The course will draw on examples in continuum mechanics, electrostatics and transport problems. 


MATH 600001  GEO ANALYSIS & TOPOLOGY  MAXIMO ALEXANDRINO NOGUEIRA, DAVI  TR 1030AM1200PM  Differentiable functions, inverse and implicit function theorems. Theory of manifolds: differentiable manifolds, charts, tangent bundles, transversality, Sard's theorem, vector and tensor fields and differential forms: Frobenius' theorem, integration on manifolds, Stokes' theorem in n dimensions, de Rham cohomology. Introduction to Lie groups and Lie group actions. 

UNDERGRADUATES NEED PERMISSION  
MATH 602001  ALGEBRA  CHAI, CHINGLI  MF 0130PM0300PM  Group theory: permutation groups, symmetry groups, linear algebraic groups, JordanHolder and Sylow theorems, finite abelian groups, solvable and nilpotent groups, pgroups, group extensions. Ring theory: Prime and maximal ideals, localization, Hilbert basis theorem, integral extensions, Dedekind domains, primary decomposition, rings associated to affine varieties, semisimple rings, Wedderburn's theorem, elementary representation theory. Linear algebra: Diagonalization and canonical form of matrices, elementary representation theory, bilinear forms, quotient spaces, dual spaces, tensor products, exact sequences, exterior and symmetric algebras. Module theory: Tensor products, flat and projective modules, introduction to homological algebra, Nakayama's Lemma. Field theory: separable and normal extensions, cyclic extensions, fundamental theorem of Galois theory, solvability of equations. 

UNDERGRADUATES NEED PERMISSION  
MATH 608401  ANALYSIS I  HYND, RYAN  TR 0130PM0300PM  Complex analysis: analyticity, Cauchy theory, meromorphic functions, isolated singularities, analytic continuation, Runge's theorem, dbar equation, MittlagLeffler theorem, harmonic and subharmonic functions, Riemann mapping theorem, Fourier transform from the analytic perspective. Introduction to real analysis: Weierstrass approximation, Lebesgue measure in Euclidean spaces, Borel measures and convergence theorems, C0 and the RieszMarkov theorem, Lpspaces, Fubini Theorem. 

UNDERGRADUATES NEED PERMISSION  
MATH 618001  ALGEBRC TOPOLOGY, PART I  GLUCK, HERMAN  TR 1200PM0130PM  Homotopy groups, Hurewicz theorem, Whitehead theorem, spectral sequences. Classification of vector bundles and fiber bundles. Characteristic classes and obstruction theory. 

UNDERGRADUATES NEED PERMISSION  
MATH 624001  ALGEBRAIC GEOMETRY  CHINBURG, TED  TR 0300PM0430PM  Algebraic geometry over algebraically closed fields, using ideas from commutative algebra. Topics include: Affine and projective algebraic varieties, morphisms and rational maps, singularities and blowing up, rings of functions, algebraic curves, Riemann Roch theorem, elliptic curves, Jacobian varieties, sheaves, schemes, divisors, line bundles, cohomology of varieties, classification of surfaces. 

UNDERGRADUATES NEED PERMISSION  
MATH 644001  PARTIAL DIFFER EQUATIONS  TR 1200PM0130PM  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 bedeveloped as needed. 

UNDERGRADUATES NEED PERMISSION  
MATH 648401  PROBABILITY THEORY  MW 1200PM0130PM  Measure theory and foundations of Probability theory. Zeroone Laws. Probability inequalities. Weak and strong laws of large numbers. Central limit theorems and the use of characteristic functions. Rates of convergence. Introduction to Martingales and random walk. 

UNDERGRADUATES NEED PERMISSION  
MATH 660001  DIFFERENTIAL GEOMETRY  ZILLER, WOLFGANG  TR 1030AM1200PM  Riemannian metrics and connections, geodesics, completeness, HopfRinow theorem, sectional curvature, Ricci curvature, scalar curvature, Jacobi fields, second fundamental form and Gauss equations, manifolds of constant curvature, first and second variation formulas, BonnetMyers theorem, comparison theorems, Morse index theorem, Hadamard theorem, Preissmann theorem, and further topics such as sphere theorems, critical points of distance functions, the soul theorem, GromovHausdorff convergence. 

UNDERGRADUATES NEED PERMISSION  
MATH 694001  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. 

UNDERGRADUATES NEED PERMISSION  
MATH 810000  READING SEMINAR 

UNDERGRADUATES NEED PERMISSION  
MATH 878001  PROB & ALGORITHM SEM  PEMANTLE, ROBIN  Seminar on current and recent literature in probability and algorithm. 
