AMCS 510401 
COMPLEX ANALYSIS 


TR 0130PM0300PM 










AMCS 514101 
LABORATORY 


T 0630PM0830PM 





SECTION ACTIVITY COREQUISITE REQUIRED 




AMCS 514102 
LABORATORY 


R 0630PM0830PM 





SECTION ACTIVITY COREQUISITE REQUIRED 




AMCS 514401 
ADVANCED LINEAR ALGEBRA 


MF 1030AM1200PM 





SECTION ACTIVITY COREQUISITE REQUIRED 




AMCS 520401 
ORD DIFFERENTIAL EQUAT 


TR 1200PM0130PM 










AMCS 602001 
ALGEBRAIC TECHIQUES I: Algebraic Techniques for Applied Math and Computational Science I 


MW 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 


TR 1030AM1200PM 

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.









MATH 103001 
INTRODUCTION TO CALCULUS 


MWF 1200PM0100PM 

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 0900AM1030AM 

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 103003 
INTRODUCTION TO CALCULUS 


CANCELED 

Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curvesketching, approximations; integrals and the fundamental theorem of calculus.



General Requirement in Formal Reasoning & Analysis 
SECTION ACTIVITY COREQUISITE REQUIRED; STRUCTURED,ACTIVE,INCLASS LEARNING; FORMAL REASONING & ANALYSIS; FORMAL REASONING COURSE; FORMAL REASONING 




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 103221 
INTRODUCTION TO CALCULUS 


CANCELED 

Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curvesketching, approximations; integrals and the fundamental theorem of calculus.



General Requirement in Formal Reasoning & Analysis 
SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 103222 
INTRODUCTION TO CALCULUS 


CANCELED 

Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curvesketching, approximations; integrals and the fundamental theorem of calculus.



General Requirement in Formal Reasoning & Analysis 
SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 103601 
INTRODUCTION TO CALCULUS 


TR 0630PM0845PM 

Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curvesketching, approximations; integrals and the fundamental theorem of calculus.



General Requirement in Formal Reasoning & Analysis 
COURSE MUST BE TAKEN FOR A GRADE; FORMAL REASONING & ANALYSIS; 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 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; STRUCTURED,ACTIVE,INCLASS LEARNING; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 104004 
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 104005 
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; STRUCTURED,ACTIVE,INCLASS LEARNING; 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 
LECTURE 


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 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 


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 104208 
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 104209 
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 104210 
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 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 


M 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 104218 
CALCULUS I 


M 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 104219 
CALCULUS I 


W 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 104220 
CALCULUS I 


W 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 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 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 104601 
CALCULUS I 


TR 0630PM0845PM 

Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus.




FORMAL REASONING COURSE; FORMAL REASONING 




MATH 110001 
CALCULUS FOR WHARTON STU 


MWF 0900AM1000AM 

Differential calculus, integral calculus, series, differential equations and elements of multivariable calculus, with an emphasis on applications.




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 110002 
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; FORMAL REASONING COURSE; FORMAL REASONING 




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 110211 
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 110212 
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 1030AM1200PM 

Functions of several variables, vectorvalued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 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 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 114229 
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 114230 
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 114601 
CALCULUS II 


TR 0630PM0845PM 

Functions of several variables, vectorvalued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.




COURSE MUST BE TAKEN FOR A GRADE; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 115001 
CALCULUS II PROB&MATRIC 


TR 0130PM0300PM 

Functions of several variables, partial derivatives, multiple integrals, differential equations; introduction to linear algebra and matrices with applications to linear programming and Markov processes. Elements of probability and statistics. Applications to social and biological sciences. Use of symbolic manipulation and graphics software in calculus.




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 115201 
CALCULUS II PROB&MATRIC 


W 0800AM0900AM 

Functions of several variables, partial derivatives, multiple integrals, differential equations; introduction to linear algebra and matrices with applications to linear programming and Markov processes. Elements of probability and statistics. Applications to social and biological sciences. Use of symbolic manipulation and graphics software in calculus.




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 115202 
CALCULUS II PROB&MATRIC 


W 0900AM1000AM 

Functions of several variables, partial derivatives, multiple integrals, differential equations; introduction to linear algebra and matrices with applications to linear programming and Markov processes. Elements of probability and statistics. Applications to social and biological sciences. Use of symbolic manipulation and graphics software in calculus.




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 115203 
CALCULUS II PROB&MATRIC 


F 0800AM0900AM 

Functions of several variables, partial derivatives, multiple integrals, differential equations; introduction to linear algebra and matrices with applications to linear programming and Markov processes. Elements of probability and statistics. Applications to social and biological sciences. Use of symbolic manipulation and graphics software in calculus.




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 115204 
CALCULUS II PROB&MATRIC 


F 0900AM1000AM 

Functions of several variables, partial derivatives, multiple integrals, differential equations; introduction to linear algebra and matrices with applications to linear programming and Markov processes. Elements of probability and statistics. Applications to social and biological sciences. Use of symbolic manipulation and graphics software in calculus.




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 116001 
HONORS CALCULUS 


TR 1200PM0130PM 

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 


TR 0615PM0830PM 










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.



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.



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.



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.



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.



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.



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.



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.



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.



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.



Nat Sci & Math Sector (new curriculum only) 
SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 170601 
IDEAS IN MATHEMATICS 


MW 0630PM0845PM 

Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society.



Nat Sci & Math Sector (new curriculum only) 
COURSE MUST BE TAKEN FOR A GRADE; NATURAL SCIENCE & MATH SECTOR; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 180001 
ANALYTICAL METHODS IN ECONOMICS, LAW, AND MEDICINE 
GERSTENHABER, MURRAY 

TR 0130PM0300PM 

Elementary applications of decision analysis, game theory, probability and statistics to issues in accounting, contracting, finance, law, and medicine, amongst others.




FORMAL REASONING COURSE; FORMAL REASONING 




MATH 202101 
LABORATORY 


M 0630PM0830PM 

This course focuses on the creative side of mathematics, with an emphasis on discovery, reasoning, proofs and effective communication, while at the same time studying 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 


W 0630PM0830PM 

This course focuses on the creative side of mathematics, with an emphasis on discovery, reasoning, proofs and effective communication, while at the same time studying 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 


TR 1030AM1200PM 

This course focuses on the creative side of mathematics, with an emphasis on discovery, reasoning, proofs and effective communication, while at the same time studying 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; ENGINEERING STUDENTS ONLY 




MATH 240002 
CALCULUS III 


TR 0300PM0430PM 

Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 240003 
CALCULUS III 


MWF 0200PM0300PM 

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 


TR 1200PM0130PM 

Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 240201 
CALCULUS III 


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 




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 




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 




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 




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 




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 




MATH 240217 
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 240218 
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 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 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 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 240225 
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 240226 
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 240227 
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 240228 
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 


M 0800AM0900AM 

Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 240232 
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 




MATH 240233 
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 240234 
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 240235 
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 




MATH 240236 
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 




MATH 240237 
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 240238 
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 240601 
CALCULUS III 


TR 0630PM0845PM 

Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higherorder homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, nonlinear systems.




COURSE MUST BE TAKEN FOR A GRADE 




MATH 241001 
CALCULUS IV 


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 
CALCULUS IV 


TR 1030AM1200PM 

Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and SturmLiouville problems. Introduction to Fourier series and Fourier transforms. Computation of solutions, modeling using PDE's, geometric intuition, and qualitative understanding of the evolution of systems according to the type of partial differential operator.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 241003 
LECTURE 


TR 0300PM0430PM 

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 241221 
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 241222 
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 241223 
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 241224 
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 241601 
CALCULUS IV 


TR 0630PM0845PM 

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.




COURSE MUST BE TAKEN FOR A GRADE 




MATH 299401 
UNDERGRAD RES IN MATH 


TR 0130PM0300PM 










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.









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.









MATH 314101 
LABORATORY 


T 0630PM0830PM 

Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products: Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skewsymmetric tensors and exterior algebra.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 314102 
LABORATORY 


R 0630PM0830PM 

Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products: Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skewsymmetric tensors and exterior algebra.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 314401 
ADVANCED LINEAR ALGEBRA 


MF 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 




MATH 320001 
COMPUTER METHODS I 


MW 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 1200AM0130PM 

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 


MW 0130PM0300PM 

Syllabus for MATH 360361: a study of the foundations of the differential and integral calculus, including the real numbers and elementary topology, continuous and differentiable functions, uniform convergence of series of functions, and inverse and implicit function theorems. MATH 508509 is a masters level version of this course.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 360101 
LABORATORY 


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 1030AM1200PM 

Continuation of MATH 360.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 361101 
LABORATORY 


M 0630PM0830PM 

Continuation of MATH 360.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 361102 
LABORATORY 


W 0630PM0830PM 

Continuation of MATH 360.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 370001 
ALGEBRA 


TR 0900AM1030AM 

Syllabus for MATH 370371: an introduction to the basic concepts of modern algebra. Linear algebra, eigenvalues and eigenvectors of matrices, groups, rings and fields. MATH 502503 is a masters level version of this course.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 370101 
LABORATORY 


M 0630PM0830PM 

Syllabus for MATH 370371: an introduction to the basic concepts of modern algebra. Linear algebra, eigenvalues and eigenvectors of matrices, groups, rings and fields. MATH 502503 is a masters level version of this course.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 370102 
LABORATORY 


W 0630PM0830PM 

Syllabus for MATH 370371: an introduction to the basic concepts of modern algebra. Linear algebra, eigenvalues and eigenvectors of matrices, groups, rings and fields. MATH 502503 is a masters level version of this course.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 371001 
ALGEBRA 


MF 1030AM1200PM 

Continuation of MATH 370.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 371101 
LABORATORY 


T 0630PM0830PM 

Continuation of MATH 370.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 371102 
LABORATORY 


R 0630PM0830PM 

Continuation of MATH 370.




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 DIFFER EQUATION 


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 


MWF 1000AM1100AM 

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 


MWF 1000AM1100AM 

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 


MWF 1000AM1100AM 

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 502001 
ABSTRACT ALGEBRA 


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.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 502101 
LABORATORY 


T 0630PM0830PM 

An introduction to groups, rings, fields and other abstract algebraic systems, elementary Galois Theory, and linear algebra  a more theoretical course than Math 370.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 502102 
LABORATORY 


R 0630PM0830PM 

An introduction to groups, rings, fields and other abstract algebraic systems, elementary Galois Theory, and linear algebra  a more theoretical course than Math 370.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 508001 
ADVANCED ANALYSIS 


TR 0300PM0430PM 

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 508101 
LABORATORY 


M 0630PM0830PM 

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 0630PM0830PM 

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 0630PM0830PM 





SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 514102 
LABORATORY 


R 0630PM0830PM 





SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 514401 
ADVANCED LINEAR ALGEBRA 


MF 1030AM1200PM 





SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 546401 
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 
INTRO LOGIC & COMPUTABTY 
WEINSTEIN, SCOTT 

TR 0900AM1030AM 

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.









MATH 580001 
COMB ANAL & GRAPH THRY 


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.









MATH 586401 
TOPICS IN MATH BIOLOGY 


TR 0300PM0430PM 

This course will cover various mathematical models and tools that are used to study modern biological problems. The specific emphasis will vary from year to year, but typically will include an introduction to stochastic processes and computational methods that arise in evolutionary biology and population genetics. No prior knowledge of biology is needed to take this course, but a strong background in probability and familiarity with algorithms and combinatorics will be assumed.









MATH 594401 
ADV METHODS IN APPL MATH 
KAMIEN, RANDALL 

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 


TR 0900AM1030AM 

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.









MATH 602001 
ALGEBRA 


MW 1030AM1200PM 

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.









MATH 608401 
ANALYSIS 


TR 1030AM1200PM 

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.









MATH 618001 
ALGEBRC TOPOLOGY, PART I 


TR 1030AM1200PM 

Homotopy groups, Hurewicz theorem, Whitehead theorem, spectral sequences. Classification of vector bundles and fiber bundles. Characteristic classes and obstruction theory.









MATH 620001 
ALGEBRAIC NUMBER THEORY 


MW 1200PM0130PM 

Dedekind domains, local fields, basic ramification theory, product formula, Dirichlet unit theory, finiteness of class numbers, Hensel's Lemma, quadratic and cyclotomic fields, quadratic reciprocity, abelian extensions, zeta and Lfunctions, functional equations, introduction to local and global class field theory. Other topics may include: Diophantine equations, continued fractions, approximation of irrational numbers by rationals, Poisson summation, Hasse principle for binary quadratic forms, modular functions and forms, theta functions.









MATH 622001 
COMPLEX ALGEBRAIC GEOM 


MF 0130PM0300PM 

Algebraic geometry over the complex numbers, using ideas from topology, complex variable theory, and differential geometry. Topics include: Complex algebraic varieties, cohomology theories, line bundles, vanishing theorems, Riemann surfaces, Abel's theorem, linear systems, complex tori and abelian varieties, Jacobian varieties, currents, algebraic surfaces, adjunction formula, rational surfaces, residues.









MATH 644001 
PARTIAL DIFFER EQUATIONS 


TR 0130PM0300PM 

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.









MATH 656001 
REP OF CONTIN GROUPS 


TR 0130PM0300PM 

Possible topics: harmonic analysis on locally compact abelian groups; almost periodic functions; direct integral decomposition theory, Types I, II and III: induced representations, representation theory of semisimple groups.









MATH 660001 
DIFFERENTIAL GEOMETRY 


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.









MATH 694001 
MATH FOUND THEOR PHYSICS 


TR 0300PM0430PM 

Selected topics in mathematical physics, such as mathematical methods of classical mechanics, electrodynamics, relativity, quantum mechanics and quantum field theory.









MATH 752001 
TOPICS IN OPERATOR THRY 


TR 0130PM0300PM 

Topics from the literature. The specific subjects will vary from year to year.









MATH 810000 
READING SEMINAR 













MATH 860001 
SEM IN RIEMANNIAN GEOM 
WEBER, BRIAN 



Seminar on current and recent literature in Riemannian geometry.









MATH 878001 
PROB & ALGORITHM SEM 


TR 1030AM1200PM 

Seminar on current and recent literature in probability and algorithm.








