AMCS 514401 
ADVANCED LINEAR ALGEBRA 
HARBATER, DAVID 

MWF 1100AM1200PM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




AMCS 514402 
LABORATORY 


T 0630PM0830PM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




AMCS 514403 
LABORATORY 


R 0630PM0830PM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




AMCS 525401 
PARTIAL DIFFERENTIAL EQUATIONS 
GARCIA JUAREZ, EDUARDO 

TR 0130PM0300PM 

Method of separation of variables will be applied to solve the wave, heat, and Laplace equations. In addition, one or more of the following topics will be covered: qualitative properties of solutions of various equations (characteristics, maximum principles, uniqueness theorems), Laplace and Fourier transform methods, and approximation techniques.









AMCS 603001 
ALGEBRAIC TECHIQUES II 
HAGLUND, JAMES 

MWF 1100AM1200PM 

We begin with an introduction to group theory. The emphasis is on groups as symetries and transformations of space. After an introduction to abstract groups, we turn our attention to compact Lie groups, in particular SO(3), and their representations. We explore the connections between orthogonal polynomials, classical transcendental functions and group representations. This unit is completed with a discussion of finite groups and their applications in coding theory.









AMCS 609401 
ANALYSIS 
STRAIN,, ROBERT 

TR 1030AM1200PM 

Real analysis: general measure theory, outer measures and Cartheodory construction, Hausdorff measures, RadonNikodym theorem, Fubini's theorem, Hilbert space and L2theory of the Fourier transform. Functional analysis: normed linear spaces, convexity, the HahnBanach theorem, duality for Banach spaces, weak convergence, bounded linear operators, Baire category theorem, uniform boundedness principle, open mapping theorem, closed graph theorem, compact operators, Fredholm theory, interpolation theorems, Lptheory for the Fourier transform.









MATH 103001 
INTRODUCTION TO CALCULUS 
RIMMER, NAKIA 

MWF 1100AM1200PM 

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



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




MATH 103101 
LABORATORY 


R 0600PM0800PM 

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



General Requirement in Formal Reasoning & Analysis 
PERMISSION NEEDED FROM DEPARTMENT 




MATH 103201 
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 103202 
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 103203 
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 103204 
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 103601 
Introduction to Calculus 
ABEBE, ABRAHAM 

MW 0630PM0830PM 

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



General Requirement in Formal Reasoning & Analysis 
FORMAL REASONING & ANALYSIS; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 104001 
CALCULUS I 
BLOCK, JONATHAN 

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 104002 
CALCULUS I 
JANG, MI 

MWF 1000AM1100AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 104003 
CALCULUS I 
SERGEL, EMILY 

TR 1200PM0130PM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; STRUCTURED,ACTIVE,INCLASS LEARNING; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 104004 
CALCULUS I 
MELCZER, STEPHEN 

TR 0130PM0300PM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 104201 
CALCULUS I 


M 0800AM0900AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 104202 
CALCULUS I 


M 0900AM1000AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 104203 
CALCULUS I 


W 0800AM0900AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 104204 
CALCULUS I 


W 0900AM1000AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 104211 
CALCULUS I 


T 0830AM0930AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 104212 
CALCULUS I 


T 0930AM1030AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 104213 
CALCULUS I 


R 0830AM0930AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 104214 
CALCULUS I 


R 0930AM1030AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 104215 
CALCULUS I 


T 0830AM0930AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 104216 
CALCULUS I 


T 0930AM1030AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 104217 
CALCULUS I 


R 0830AM0930AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 104218 
CALCULUS I 


R 0930AM1030AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 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 




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 




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 




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 




MATH 104601 
CALCULUS I 
CROTTY, EDWARD 

TR 0630PM0830PM 

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




FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114001 
CALCULUS II 
KAREMAKER, VALENTIJN 

TR 1030AM1200PM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114002 
CALCULUS II 
GHRIST, ROBERT 

TR 1200PM0130PM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; ENGINEERING STUDENTS ONLY; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114003 
CALCULUS II 
DETURCK, DENNIS 

MWF 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 114004 
CALCULUS II 
TEWARI, VASU 

TR 0300PM0430PM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114005 
CALCULUS II 
YU, CHENGLONG 

TR 0900AM1030AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 114201 
CALCULUS II 


M 0800AM0900AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114202 
CALCULUS II 


M 0900AM1000AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114203 
CALCULUS II 


W 0800AM0900AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114204 
CALCULUS II 


W 0900AM1000AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114205 
CALCULUS II 


M 0800AM0900AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114206 
CALCULUS II 


M 0900AM1000AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114207 
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 114208 
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 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; ENGINEERING STUDENTS ONLY; 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; ENGINEERING STUDENTS ONLY; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114213 
CALCULUS II 


F 0800AM0900AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; ENGINEERING STUDENTS ONLY; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114214 
CALCULUS II 


F 0900AM1000AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; ENGINEERING STUDENTS ONLY; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114215 
CALCULUS II 


M 0800AM0900AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; ENGINEERING STUDENTS ONLY; FORMAL REASONING 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; ENGINEERING STUDENTS ONLY; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114221 
CALCULUS II 


T 0830AM0930AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114222 
CALCULUS II 


T 0930AM1030AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114223 
CALCULUS II 


R 0830AM0930AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114224 
CALCULUS II 


R 0930AM1030AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114225 
CALCULUS II 


T 0830AM0930AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114226 
CALCULUS II 


T 0930AM1030AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114227 
CALCULUS II 


R 0830AM0930AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114228 
CALCULUS II 


R 0930AM1030AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114231 
CALCULUS II 


M 0800AM0900AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114232 
CALCULUS II 


M 0900AM1000AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114233 
CALCULUS II 


W 0800AM0900AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114234 
CALCULUS II 


W 0900AM1000AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 114241 
CALCULUS II 


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 114242 
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 114243 
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 114244 
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 114601 
CALCULUS II 
RIMMER, NAKIA 

MW 0630PM0830PM 

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




FORMAL REASONING COURSE; FORMAL REASONING 




MATH 123001 
COMMUNITY MATH TEACH PRO 
STOVALL, IDRIS 

CANCELED 

This course allows Penn students to teach a series of handson activities to students in math classes at University City High School. The semester starts with an introduction to successful approaches for teaching math in urban high schools. The rest of the semester will be devoted to a series of weekly handson activities designed to teach fundamental aspects of geometry. The first class meeting of each week, Penn faculty teach Penn students the relevant mathematical background and techniques for a handson activity. During the second session of each week, Penn students will teach the handson activity to a small group of UCHS students. The Penn students will also have an opportunity to develop their own activity and to implement it with the UCHS students.




AN ACADEMICALLY BASED COMMUNITY SERV COURSE 




MATH 170001 
IDEAS IN MATHEMATICS 
HARTMANN, JULIA 

MWF 0100PM0200PM 

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



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




MATH 170002 
IDEAS IN MATHEMATICS 
RIMMER, NAKIA 

TR 0130PM0300PM 

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



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




MATH 170201 
RECITATION 


T 0830AM0930AM 

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



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




MATH 170202 
RECITATION 


T 0930AM1030AM 

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



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




MATH 170203 
RECITATION 


R 0830AM0930AM 

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



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




MATH 170204 
RECITATION 


R 0930AM1030AM 

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



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




MATH 170205 
RECITATION 


T 0830AM0930AM 

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



Nat Sci & Math Sector (new curriculum only) 
SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 170206 
RECITATION 


T 0930AM1030AM 

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



Nat Sci & Math Sector (new curriculum only) 
SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 170211 
RECITATION 


W 0800AM0900AM 

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



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




MATH 170212 
RECITATION 


W 0900AM1000AM 

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



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




MATH 170213 
RECITATION 


F 0800AM0900AM 

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



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




MATH 170214 
RECITATION 


F 0900AM1000AM 

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



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




MATH 170601 
IDEAS IN MATHEMATICS 
WEISSHAAR, ROSE 

TR 0630PM0830PM 

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



Nat Sci & Math Sector (new curriculum only) 
NATURAL SCIENCE & MATH SECTOR; FORMAL REASONING COURSE; FORMAL REASONING 




MATH 203101 
LABORATORY 


M 0630PM0830PM 

This course focuses on the creative side of mathematics, with an emphasis on discovery, reasoning, proofs and effective communication, while at the same time studying arithmetic, algebra, linear algebra, groups, rings and fields. Small class sizes permit an informal, discussiontype atmosphere, and often the entire class works together on a given problem. Homework is intended to be thoughtprovoking, rather than skillsharpening.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 203102 
LABORATORY 


W 0630PM0830PM 

This course focuses on the creative side of mathematics, with an emphasis on discovery, reasoning, proofs and effective communication, while at the same time studying arithmetic, algebra, linear algebra, groups, rings and fields. Small class sizes permit an informal, discussiontype atmosphere, and often the entire class works together on a given problem. Homework is intended to be thoughtprovoking, rather than skillsharpening.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 203301 
PROVING THINGS: ALGEBRA 
DONAGI, RON 

TR 0130PM0300PM 

This course focuses on the creative side of mathematics, with an emphasis on discovery, reasoning, proofs and effective communication, while at the same time studying arithmetic, algebra, linear algebra, groups, rings and fields. Small class sizes permit an informal, discussiontype atmosphere, and often the entire class works together on a given problem. Homework is intended to be thoughtprovoking, rather than skillsharpening.




SECTION ACTIVITY COREQUISITE REQUIRED; FRESHMAN SEMINAR; FRESHMAN SEMINAR 




MATH 210301 
MATH IN AGE OF INFO: Math in the Media 
KAZDAN, JERRY 

TR 0130PM0300PM 

This course counts as a regular elective for both the Mathematics Major and Minor.
This is a course about mathematical reasoning and the media. Embedded in many stories one finds in the media are mathematical questions as well as implicit mathematical models for how the world behaves. We will discuss ways to recognize such questions and models, and how to think about them from a mathematical perspective. A key part of the course will be about what constitutes a mathematical proof, and what passes for proof in various media contexts. The course will cover a variety of topics in logic, probability and statistics as well as how these subjects can be used and abused.




FRESHMAN SEMINAR; COLLEGE QUANTITATIVE DATA ANALYSIS REQ.; FRESHMAN SEMINAR; QUANTITATIVE DATA ANALYSIS COURSE 




MATH 240001 
CALCULUS III 
MCGRATH, PETER 

TR 1030AM1200PM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 240002 
CALCULUS III 
LICHTENFELZ, LEANDRO 

MWF 0100PM0200PM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 240201 
CALCULUS III 


W 0800AM0900AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 240202 
CALCULUS III 


W 0900AM1000AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 240203 
CALCULUS III 


F 0800AM0900AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 240204 
CALCULUS III 


F 0900AM1000AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 240205 
CALCULUS III 


W 0800AM0900AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 240206 
CALCULUS III 


W 0900AM1000AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 240207 
CALCULUS III 


F 0800AM0900AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 240208 
CALCULUS III 


F 0900AM1000AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 240211 
CALCULUS III 


T 0800AM0900AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 240212 
CALCULUS III 


T 0930AM1030AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 240213 
CALCULUS III 


R 0800AM0900AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 240214 
CALCULUS III 


R 0930AM1030AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 240215 
CALCULUS III 


T 0800AM0900AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 240216 
CALCULUS III 


T 0930AM1030AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 240217 
CALCULUS III 


R 0800AM0900AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 240218 
CALCULUS III 


R 0930AM1030AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 240601 
CALCULUS III 
CLEE, WILLIAM 

TR 0630PM0830PM 

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









MATH 241001 
CALCULUS IV 
TASKOVIC, MAJA 

TR 1030AM1200PM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 241002 
CALCULUS IV 
BELL, RENEE 

MWF 1000AM1100AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 241201 
CALCULUS IV 


M 0800AM0900AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 241202 
CALCULUS IV 


M 0900AM1000AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 241203 
CALCULUS IV 


F 0800AM0900AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 241204 
CALCULUS IV 


F 0900AM1000AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 241211 
CALCULUS IV 


T 0830AM0930AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 241212 
CALCULUS IV 


T 0930AM1030AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 241213 
CALCULUS IV 


R 0830AM0930AM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 241214 
CALCULUS IV 


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 241601 
CALCULUS IV 
HUGHES, ANTHONY 

TR 0630PM0830PM 

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.









MATH 260001 
HONORS CALCULUS (CONTINUATION) 
GLUCK, HERMAN 

TR 1200PM0130PM 

This is an honors version of Math 240 which explores the same topics but with greater mathematical rigor.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 260201 
HONORS CALCULUS (CONTINUATION) 


W 0600PM0730PM 

This is an honors version of Math 240 which explores the same topics but with greater mathematical rigor.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 260202 
HONORS CALCULUS (CONTINUATION) 


W 0730PM0900PM 

This is an honors version of Math 240 which explores the same topics but with greater mathematical rigor.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 280301 
ENTROPY MATH EVOLUTION: ENTROPY AND THE MATHEMATICS OF EVOLUTION 
CHINBURG, TED 

TR 1200PM0130PM 

The goal of this is to explore a new theory of evolution developed by L. Demetrius at MIT based on the second law of thermodynamics. The essential idea is that life exists because if increases overall entropy quicker than other process es. The course will include an introduction to thermodynamics as well as to the information theory difinition of entropy. Eventually I want to apply this to other systems. For instance, I think the theory explains why political candidates who create chaos, tweet and require more bits of information to describe each day are favored by the second law. Demetrius makes a distinction between robust high entropy environments and precarious low entropy environments which is a very interesting in many different systems.




BENJAMIN FRANKLIN SEMINARS; BENJAMIN FRANKLIN SEMINAR 




MATH 290001 
UNDERGRAD MATH RESEARCH 
HYND, RYAN 

TR 0130PM0300PM 

This is a projectoriented mathematics research course that teaches students tosolve realworld problems by constructing and analyzing mathematical models. Typically the problems considered will come from mathematics, chemistry, biology, and materials science but sometimes they will also come from economics, finance, and social sciences. The research problems in the course vary from year to year.









MATH 312001 
LINEAR ALGEBRA 
BELL, RENEE 

MWF 0100PM0200PM 

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 
GARCIA JUAREZ, EDUARDO 

TR 1030AM1200PM 

Linear transformations, Gauss Jordan elimination, eigenvalues and eigenvectors, theory and applications. Mathematics majors are advised that MATH 312 cannot be taken to satisfy the major requirements.









MATH 313401 
COMPUTER LINEAR ALGEBRA 
TEWARI, VASU 

TR 1030AM1200PM 

Many important problems in a wide range of disciplines within computer science and throughout science are solved using techniques from linear algebra. This course will introduce students to some of the most widely used algorithms and illustrate how they are actually used.
Some specific topics: the solution of systems of linear equations by Gaussian elimination, dimension of a linear space, inner product, cross product, change of basis, affine and rigid motions, eigenvalues and eigenvectors, diagonalization of both symmetric and nonsymmetric matrices, quadratic polynomials, and least squares optimazation.
Applications will include the use of matrix computations to computer graphics, use of the discrete Fourier transform and related techniques in digital signal processing, the analysis of systems of linear differential equations, and singular value deompositions with application to a principal component analysis.
The ideas and tools provided by this course will be useful to students who intend to tackle higher level courses in digital signal processing, computer vision, robotics, and computer graphics.









MATH 314401 
ADVANCED LINEAR ALGEBRA 
HARBATER, DAVID 

MWF 1100AM1200PM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 314402 
LABORATORY 


T 0630PM0830PM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 314403 
LABORATORY 


R 0630PM0830PM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 341401 
DISCRETE MATHEMATICS II 
SCEDROV, ANDRE 

TR 1200PM0130PM 

Topics will be drawn from some subjects useful in the analysis of information and computation: logic, set theory, theory of computation, number theory, probability, and basic cryptography.









MATH 350001 
NUMBER THEORY 
PALVANNAN, BHARATHWAJ 

TR 1030AM1200PM 

Congruences, Diophantine equations, continued fractions, nonlinear congruences,and quadratic residues.









MATH 360001 
ADVANCED CALCULUS 
WANG, ZHENFU 

TR 0130PM0300PM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 360101 
LABORATORY 


M 0630PM0830PM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 360102 
LABORATORY 


W 0630PM0830PM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 361001 
ADVANCED CALCULUS 
PIMSNER, MICHAEL 

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 
MERLING, MONA 

TR 0300PM0430PM 

Syllabus for MATH 370371: an introduction to the basic concepts of modern algebra. Linear algebra, eigenvalues and eigenvectors of matrices, groups, rings and fields. 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 
YU, CHENGLONG 

TR 0300PM0430PM 

Continuation of MATH 370.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 371101 
LABORATORY 


M 0630PM0830PM 

Continuation of MATH 370.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 371102 
LABORATORY 


W 0630PM0830PM 

Continuation of MATH 370.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 425401 
PARTIAL DIFFERENTIAL EQUATIONS 
GARCIA JUAREZ, EDUARDO 

TR 0130PM0300PM 

Method of separation of variables will be applied to solve the wave, heat, and Laplace equations. In addition, one or more of the following topics will be covered: qualitative properties of solutions of various equations (characteristics, maximum principles, uniqueness theorems), Laplace and Fourier transform methods, and approximation techniques.









MATH 465401 
DIFFERENTIAL GEOMETRY 
LICHTENFELZ, LEANDRO 

MWF 1000AM1100AM 

Differential geometry of curves in the plane and in 3space;n gauge theories Surfaces in 3space; The geometry of the Gauss map;ons. The language of Intrinsic geometry of surfaces; Geodesics; Moving frames; of vector bundles, The GaussBonnet Theorem; Assorted additional topics.









MATH 501401 
DIFFERENTIAL GEOMETRY 
LICHTENFELZ, LEANDRO 

MWF 1000AM1100AM 

The course moves from a study of extrinsic geometry (curves and surfaces in nspace) to the intrinsic geometry of manifolds. After a review of vector calculus and a section on tensor algebra, we study manifolds and their intrinsic geometry, including metrics, connections, geodesics, and the Riemann curvature tensor. Topics include Eulerian curvature and Euler's theorems, the Gauss map and first/second fundamental forms, the Theorema Egregium, minimal surfaces in nspace; other topics as time permits.









MATH 503001 
ABSTRACT ALGEBRA 
GUADAGNI, ROBERTA 

MWF 1100AM1200PM 

Continuation of Math 502.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 503101 
LABORATORY 


T 0630PM0830PM 

Continuation of Math 502.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 503102 
LABORATORY 


R 0630PM0830PM 

Continuation of Math 502.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 509001 
ADVANCED ANALYSIS 
EPSTEIN, CHARLES 

TR 0300PM0430PM 

Continuation of Math 508. The ArzelaAscoli theorem. Introduction to the topology of metric spaces with an emphasis on higher dimensional Euclidean spaces. The contraction mapping principle. Inverse and implicit function theorems. Rigorous treatment of higher dimensional differential calculus. Introduction to Fourier analysis and asymptotic methods.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 509101 
LABORATORY 


M 0630PM0830PM 

Continuation of Math 508. The ArzelaAscoli theorem. Introduction to the topology of metric spaces with an emphasis on higher dimensional Euclidean spaces. The contraction mapping principle. Inverse and implicit function theorems. Rigorous treatment of higher dimensional differential calculus. Introduction to Fourier analysis and asymptotic methods.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 509102 
LABORATORY 


W 0630PM0830PM 

Continuation of Math 508. The ArzelaAscoli theorem. Introduction to the topology of metric spaces with an emphasis on higher dimensional Euclidean spaces. The contraction mapping principle. Inverse and implicit function theorems. Rigorous treatment of higher dimensional differential calculus. Introduction to Fourier analysis and asymptotic methods.




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 510001 
ADV COMPLEX ANALYSIS: Advanced Complex Analysis 
GRESSMAN, PHILIP 

TR 1030AM1200PM 










MATH 513401 
COMPUTER LINEAR ALGEBRA 
TEWARI, VASU 

TR 1030AM1200PM 

A number of important and interesting problems in a wide range of disciplines within computer science are solved by recourse to techniques from linear algebra. The goal of this course will be to introduce students to some of the most important and widely used algorithms in matrix computation and to illustrate how they are actually used in various settings. Motivating applications will include: the solution of systems of linear equations, applications matrix computations to modeling geometric transformations in graphics, applications of the Discrete Fourier Transform and related techniques in digital signal processing, the solution of linear least squares optimization problems and the analysis of systems of linear differential equations. The course will cover the theoretical underpinnings of these problems and the numerical algorithms that are used to perform important matrixcomputations such as Gaussian Elimination, LU Decomposition and Singular Value Decomposition.









MATH 514401 
ADVANCED LINEAR ALGEBRA 
HARBATER, DAVID 

MWF 1100AM1200PM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 514402 
LABORATORY 


T 0630PM0830PM 

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




SECTION ACTIVITY COREQUISITE REQUIRED 




MATH 514403 
LABORATORY 


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 530001 
MATH OF FINANCE 
HYND, RYAN 

TR 1030AM1200PM 

This course presents the basic mathematical tools to model financial markets and to make calculations about financial products, especially financial derivatives. Mathematical topics covered: stochastic processes, partial differential equations and their relationship. No background in finance is assumed.









MATH 547401 
STOCHASTIC PROCESSES 
PEMANTLE, ROBIN 

MF 1200PM0130PM 

Markov chains, Markov processes, and their limit theory. Renewal theory. Martingales and optimal stopping. Stable laws and processes with independent increments. Brownian motion and the theory of weak convergence. Point processes.




UNDERGRADUATES NEED PERMISSION 




MATH 571401 
INTRO LOGIC & COMPUTABTY 
TOWSNER, HENRY 

TR 1030AM1200PM 

Continuation of Math 570.









MATH 581001 
COMB ANAL & GRAPH THRY 
MELCZER, STEPHEN 

TR 1200PM0130PM 

Continuation of Math 580.









MATH 601001 
GEO ANALYSIS & TOPOLOGY 
BLOCK, JONATHAN 

TR 0130PM0300PM 

Covering spaces and fundamental groups, van Kampen's theorem and classification of surfaces. Basics of homology and cohomology, singular and cellular; isomorphism with de Rham cohomology. Brouwer fixed point theorem, CW complexes, cup and cap products, Poincare duality, Kunneth and universal coefficient theorems, Alexander duality, Lefschetz fixed point theorem.









MATH 603001 
ALGEBRA 
PANTEV, TONY 

MW 0930AM1100AM 

Continuation of Math 602.









MATH 609401 
ANALYSIS 
STRAIN,, ROBERT 

TR 1030AM1200PM 

Real analysis: general measure theory, outer measures and Cartheodory construction, Hausdorff measures, RadonNikodym theorem, Fubini's theorem, Hilbert space and L2theory of the Fourier transform. Functional analysis: normed linear spaces, convexity, the HahnBanach theorem, duality for Banach spaces, weak convergence, bounded linear operators, Baire category theorem, uniform boundedness principle, open mapping theorem, closed graph theorem, compact operators, Fredholm theory, interpolation theorems, Lptheory for the Fourier transform.









MATH 619001 
ALGEBRC TOPOLOGY, PART I 
MERLING, MONA 

TR 0130PM0300PM 

Rational homotopy theory, cobordism, Ktheory, Morse theory and the hcorbodism theorem. Surgery theory.









MATH 625001 
ALGEBRAIC GEOMETRY 


MF 0130PM0300PM 

Continuation of Math 624.









MATH 649401 
STOCHASTIC PROCESSES 
PEMANTLE, ROBIN 

MF 1200PM0130PM 

Conditional expectations, martingales, Markov chains, Brownian motion, diffusions.









MATH 661001 
DIFFERENTIAL GEOMETRY 
MCGRATH, PETER 

TR 0300PM0430PM 

Continuation of Math 660.









MATH 671401 
TOPICS IN LOGIC 
TOWSNER, HENRY 

TR 1030AM1200PM 

Discusses advanced topics in logic.









MATH 721001 
ADVANCED NUMBER THEORY 


CANCELED 

Continuation of Math 720.









MATH 748001 
TOPICS IN CLASS ANALYSIS 
GRESSMAN, PHILIP 

TR 0130PM0300PM 

Harmonic analysis in Euclidean space, Riemann surfaces, Discontinuous groups and harmonic analysis in hyperbolic space, Pseudodifferential operators and index theorems, Variational methods in nonlinear PDE, Hyperbolic equations and conservation laws, Probability and stochastic processes, Geometric measure theory, Applications of analysis to problems in differential geometry. The specific subjects will vary from year to year.








