Mathematics (MATH)Arts and Sciences

Showing 64 results.

Course descriptions provided by the Courses of Study 2017-2018.

MATH 1006

Reviews material presented in MATH 1106 lectures, provides problem-solving techniques and tips as well as prelim review. Provides further instruction for students who need reinforcement. Not a substitute ... view course details

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  •  

  • 1 Credit Sat/Unsat

  •  5469MATH 1006  TA 651

  • A&S students receive transcript credit only; cannot be used toward graduation

Enrollment Information
Syllabi: none
  •  

  • 1 Credit Sat/Unsat

  •  5470MATH 1006  TA 652

  • A&S students receive transcript credit only; cannot be used toward graduation

MATH 1011

Reviews material presented in MATH 1110 lectures, provides problem-solving techniques and tips as well as prelim review. Provides further instruction for students who need reinforcement. Not a substitute ... view course details

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Syllabi: none
  •  

  • 1 Credit Sat/Unsat

  •  5467MATH 1011  TA 651

  • A&S students receive transcript credit only; cannot be used toward graduation

Enrollment Information
Syllabi: none
  •  

  • 1 Credit Sat/Unsat

  •  5468MATH 1011  TA 652

  • A&S students receive transcript credit only; cannot be used toward graduation

MATH 1012

Reviews material presented in MATH 1120 lectures, provides problem-solving techniques and tips as well as prelim review. Provides further instruction for students who need reinforcement. Not a substitute ... view course details

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Syllabi: none
  •  

  • 1 Credit Sat/Unsat

  •  5465MATH 1012  TA 651

  • A&S students receive transcript credit only; cannot be used toward graduation

Enrollment Information
Syllabi: none
  •  

  • 1 Credit Sat/Unsat

  •  5466MATH 1012  TA 652

  • A&S students receive transcript credit only; cannot be used toward graduation

MATH 1021

Reviews material presented in MATH 2210 lectures, provides problem-solving techniques and tips as well as prelim review. Provides further instruction for students who need reinforcement. Not a substitute ... view course details

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Syllabi: none
  •  

  • 1 Credit Sat/Unsat

  •  9515MATH 1021  TA 651

Enrollment Information
Syllabi: none
  •  

  • 1 Credit Sat/Unsat

  •  9516MATH 1021  TA 652

MATH 1101

Introduces topics in calculus: limits, rates of change, definition of and techniques for finding derivatives, relative and absolute extrema, and applications. The calculus content of the course is similar ... view course details

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  •  

  • 1 Credit Graded

  •  7043MATH 1101  LEC 001

MATH 1106

Introduction to differential and integral calculus, partial derivatives, elementary differential equations. Examples from biology and the social sciences are used. view course details

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  •   Choose one lecture and one discussion.

  • 3 Credits Stdnt Opt

  •  5535MATH 1106  LEC 001

  •  8811MATH 1106  LEC 002

  •  5536MATH 1106  DIS 201

  •  5537MATH 1106  DIS 202

  •  5538MATH 1106  DIS 203

  •  5539MATH 1106  DIS 204

  •  7156MATH 1106  DIS 205

  •  7157MATH 1106  DIS 206

  •  8812MATH 1106  DIS 207

  •  8813MATH 1106  DIS 208

MATH 1110

Topics include functions and graphs, limits and continuity, differentiation and integration of algebraic, trigonometric, inverse trig, logarithmic, and exponential functions; applications of differentiation, ... view course details

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5651MATH 1110  LEC 001

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5652MATH 1110  LEC 002

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5653MATH 1110  LEC 003

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5654MATH 1110  LEC 004

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5655MATH 1110  LEC 005

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5656MATH 1110  LEC 006

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5657MATH 1110  LEC 007

MATH 1120

Focuses on integration: applications, including volumes and arc length; techniques of integration, approximate integration with error estimates, improper integrals, differential equations (separation of ... view course details

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  8814MATH 1120  LEC 001

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5661MATH 1120  LEC 002

Enrollment Information
Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  8206MATH 1120  LEC 003

Enrollment Information
Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  8207MATH 1120  LEC 004

Enrollment Information
Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  8208MATH 1120  LEC 005

Enrollment Information
Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  8209MATH 1120  LEC 006

MATH 1340

We apply mathematical reasoning to some problems arising in the social sciences. We discuss game theory and its applications to political and historical conflicts. Power indices are introduced and used ... view course details

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Syllabi: none
  •  

  • 3 Credits Stdnt Opt

  •  5476MATH 1340  LEC 001

  • Pre-enrollment restricted to Arts & Sciences students. Any spaces that remain and those that open up due to drops will be made available to all students on first-come first-served basis during add/drop.

Enrollment Information
Syllabi: none
  •  

  • 3 Credits Stdnt Opt

  •  7158MATH 1340  LEC 002

  • Pre-enrollment restricted to Arts & Sciences students. Any spaces that remain and those that open up due to drops will be made available to all students on first-come first-served basis during add/drop.

MATH 1710

Introductory statistics course discussing techniques for analyzing data occurring in the real world and the mathematical and philosophical justification for these techniques. Topics include population ... view course details

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Syllabi: 1 available
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5662MATH 1710  LEC 001

  •  5663MATH 1710  DIS 201

  •  5664MATH 1710  DIS 202

  •  5665MATH 1710  DIS 203

MATH 1890

This writing-intensive course will focus on the broader societal impacts of quantitative subjects. Examples may include fairness of criminal sentencing algorithms, transparency of financial and economic ... view course details

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Syllabi: none
  •   FWS Session. 

  • 3 Credits Graded

MATH 1910

Essentially a second course in calculus. Topics include techniques of integration, finding areas and volumes by integration, exponential growth, partial fractions, infinite sequences and series, tests ... view course details

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Syllabi: none
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5658MATH 1910  LEC 001

  •  5659MATH 1910  DIS 201

  •  5660MATH 1910  DIS 202

MATH 1920

Introduction to multivariable calculus. Topics include partial derivatives, double and triple integrals, line and surface integrals, vector fields, Green's theorem, Stokes' theorem, and the divergence ... view course details

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Syllabi: none
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5462MATH 1920  LEC 001

  •  5463MATH 1920  LEC 002

  • Co-enrollment in a one-credit Academic Excellence Workshop (ENGRG 1092) is an option for engineering students who wish to enhance their understanding of the course material.

  •  5526MATH 1920  DIS 205

  •  5527MATH 1920  DIS 206

  •  5529MATH 1920  DIS 208

  •  5530MATH 1920  DIS 209

  •  5531MATH 1920  DIS 210

  •  5533MATH 1920  DIS 212

  •  9439MATH 1920  DIS 213

  •  9440MATH 1920  DIS 214

MATH 2130

Topics include vectors and vector-valued functions; multivariable and vector calculus including multiple and line integrals; first- and second-order differential equations with applications; systems of ... view course details

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Syllabi: none
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5484MATH 2130  LEC 001

  •  5485MATH 2130  DIS 201

  •  5486MATH 2130  DIS 202

MATH 2210

Topics include vector algebra, linear transformations, matrices, determinants, orthogonality, eigenvalues, and eigenvectors. Applications are made to linear differential or difference equations. The lectures ... view course details

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Syllabi: none
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5487MATH 2210  LEC 001

  •  5488MATH 2210  LEC 002

  •  5489MATH 2210  DIS 201

  •  5490MATH 2210  DIS 202

  •  5491MATH 2210  DIS 203

  •  7313MATH 2210  DIS 204

  •  7659MATH 2210  DIS 205

  •  8210MATH 2210  DIS 206

MATH 2220

Differential and integral calculus of functions in several variables, line and surface integrals as well as the theorems of Green, Stokes, and Gauss. view course details

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Syllabi: none
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5492MATH 2220  LEC 001

  •  5493MATH 2220  LEC 002

  •  5494MATH 2220  DIS 201

  •  5495MATH 2220  DIS 202

  •  5496MATH 2220  DIS 203

  •  7044MATH 2220  DIS 204

  •  7418MATH 2220  DIS 205

MATH 2240

Topics include vector fields; line integrals; differential forms and exterior derivative; work, flux, and density forms; integration of forms over parametrized domains; and Green's, Stokes', and divergence ... view course details

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Syllabi: none
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5497MATH 2240  LEC 001

  •  5498MATH 2240  DIS 201

MATH 2930

Introduction to ordinary and partial differential equations. Topics include: first-order equations (separable, linear, homogeneous, exact); mathematical modeling (e.g., population growth, terminal velocity); ... view course details

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Syllabi: none
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5501MATH 2930  LEC 001

  •  5502MATH 2930  LEC 002

  • Co-enrollment in a one-credit Academic Excellence Workshop (ENGRG 1093) is an option for engineering students who wish to enhance their understanding of the course material.

  •  5503MATH 2930  DIS 201

  •  7661MATH 2930  DIS 202

  •  5505MATH 2930  DIS 204

  •  5508MATH 2930  DIS 207

  •  5510MATH 2930  DIS 209

  •  5512MATH 2930  DIS 211

  •  5513MATH 2930  DIS 212

  •  5514MATH 2930  DIS 213

  •  5515MATH 2930  DIS 214

  •  8535MATH 2930  DIS 216

  •  9438MATH 2930  DIS 218

MATH 2940

Linear algebra and its applications. Topics include matrices, determinants, vector spaces, eigenvalues and eigenvectors, orthogonality and inner product spaces; applications include brief introductions ... view course details

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Syllabi: none
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5540MATH 2940  LEC 001

  •  5541MATH 2940  LEC 002

  •  5542MATH 2940  DIS 201

  •  5543MATH 2940  DIS 202

  •  5544MATH 2940  DIS 203

  •  5545MATH 2940  DIS 204

  •  5546MATH 2940  DIS 205

  •  5547MATH 2940  DIS 206

  •  5548MATH 2940  DIS 207

  •  5549MATH 2940  DIS 208

  •  5550MATH 2940  DIS 209

  •  5551MATH 2940  DIS 210

  •  5552MATH 2940  DIS 211

  •  7045MATH 2940  DIS 212

  •  5553MATH 2940  DIS 213

  •  5554MATH 2940  DIS 214

  •  5555MATH 2940  DIS 215

  •  8100MATH 2940  DIS 216

  •  8101MATH 2940  DIS 217

  •  8102MATH 2940  DIS 218

MATH 3040

In mathematics, the methodology of proof provides a central tool for confirming the validity of mathematical assertions, functioning much as the experimental method does in the physical sciences. In this ... view course details

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Syllabi: none
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  • 4 Credits Stdnt Opt

  •  5480MATH 3040  LEC 001

MATH 3110

Provides a transition from calculus to real analysis. Topics include rigorous treatment of fundamental concepts in calculus: including limits and convergence of sequences and series, compact sets; continuity, ... view course details

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5481MATH 3110  LEC 001

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  7390MATH 3110  LEC 002

MATH 3340

An introduction to structures of abstract algebra, including groups, rings, fields, factorization of polynomials and integers, congruences, and the structure of finite abelian groups. Additional topics ... view course details

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5518MATH 3340  LEC 001

MATH 3360

Introduction to the concepts and methods of abstract algebra and number theory that are of interest in applications. Covers the basic theory of groups, rings and fields and their applications to such areas ... view course details

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5482MATH 3360  LEC 001

Enrollment Information
Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5483MATH 3360  LEC 002

MATH 4030

Survey of the development of mathematics from antiquity to the present, with an emphasis on the achievements, problems, and mathematical viewpoints of each historical period and the evolution of such basic ... view course details

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  • 17164MATH 4030  LEC 001

MATH 4130

Introduction to the rigorous theory underlying calculus, covering the real number system and functions of one variable. Based entirely on proofs. The student is expected to know how to read and, to some ... view course details

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5499MATH 4130  LEC 001

MATH 4140

Proof-based introduction to further topics in analysis. Topics may include the Lebesgue measure and integration, functions of several variables, differential calculus, implicit function theorem, infinite ... view course details

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5500MATH 4140  LEC 001

MATH 4180

Theoretical and rigorous introduction to complex variable theory. Topics include complex numbers, differential and integral calculus for functions of a complex variable including Cauchy's theorem and the ... view course details

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  8212MATH 4180  LEC 001

MATH 4210

Introduction to nonlinear dynamics, with applications to physics, engineering, biology, and chemistry. Emphasizes analytical methods, concrete examples, and geometric thinking. Topics include one-dimensional ... view course details

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Syllabi: none
  •   Combined with: MAE 5790

  • 4 Credits Stdnt Opt

  •  7846MATH 4210  LEC 001

MATH 4260

Introduction to the fundamentals of numerical linear algebra: direct and iterative methods for linear systems, eigenvalue problems, singular value decomposition. In the second half of the course, the above ... view course details

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Syllabi: none
  •   Combined with: CS 4220

  • 4 Credits Stdnt Opt

  •  7600MATH 4260  LEC 001

MATH 4280

Topics are selected from first-order quasilinear equations, classification of second-order equations, with emphasis on maximum principles, existence, uniqueness, stability, Fourier series methods, approximation ... view course details

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5517MATH 4280  LEC 001

MATH 4310

Introduction to linear algebra, including the study of vector spaces, linear transformations, matrices, and systems of linear equations. Additional topics are quadratic forms and inner product spaces, ... view course details

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  8213MATH 4310  LEC 001

Enrollment Information
Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  • 17169MATH 4310  LEC 002

MATH 4340

Honors version of a course in abstract algebra, which treats the subject from an abstract and axiomatic viewpoint, including universal mapping properties. Topics include groups, groups acting on sets, ... view course details

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5519MATH 4340  LEC 001

MATH 4410

Combinatorics is the study of discrete structures that arise in a variety of areas, particularly in other areas of mathematics, computer science, and many areas of application. Central concerns are often ... view course details

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  • 17406MATH 4410  LEC 001

MATH 4500

An introduction to a topic that is central to mathematics and important in physics and engineering. The objects of study are certain classes of matrices, such as orthogonal, unitary, or symplectic matrices. ... view course details

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  7102MATH 4500  LEC 001

MATH 4540

Differential geometry involves using calculus to study geometric concepts such as curvature and geodesics. This introductory course focuses on the differential geometry of curves and surfaces. It may also ... view course details

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5520MATH 4540  LEC 001

MATH 4710

Introduction to probability theory, which prepares the student to take MATH 4720. The course begins with basics: combinatorial probability, mean and variance, independence, conditional probability, and ... view course details

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  • 17171MATH 4710  LEC 001

MATH 4720

Statistics have proved to be an important research tool in nearly all of the physical, biological, and social sciences. This course serves as an introduction to statistics for students who already have ... view course details

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5521MATH 4720  LEC 001

MATH 4740

A one-semester introduction to stochastic processes which develops the theory together with applications. The course will always cover Markov chains in discrete and continuous time and Poisson processes. ... view course details

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5824MATH 4740  LEC 001

MATH 4820

After reviewing some material on standard logics (classical and intuitionistic), and covering Tarskian consequence relations, we will focus on logics for monadic operators (especially for necessity and ... view course details

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Syllabi: none
  •   Combined with: PHIL 4311PHIL 6310

  • 4 Credits Stdnt Opt

  • Topic: Intensional Logics

  • 16067MATH 4820  SEM 101

MATH 4860

Propositional and predicate logic, compactness and completeness using tableaux, natural deduction, and/or resolution. Other topics chosen from the following: Equational logic. Herbrand Universes ... view course details

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Syllabi: none
  •   Combined with: CS 4860

  • 4 Credits Stdnt Opt

  • 16883MATH 4860  LEC 001

MATH 4900

An independent research course by arrangement with an individual professor.  The goal is for the student to perform an independent investigation into a specific mathematical question.  The student and ... view course details

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Enrollment Information
Syllabi: none
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  • 1-6 Credits Stdnt Opt

  •  5522MATH 4900  IND 601

    • TBA
    • Aguiar, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6696MATH 4900  IND 602

    • TBA
    • Sen, S

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6671MATH 4900  IND 601A

    • TBA
    • Barbasch, D

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6672MATH 4900  IND 601B

    • TBA
    • Berest, Y

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6673MATH 4900  IND 601C

    • TBA
    • Billera, L

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6674MATH 4900  IND 601D

    • TBA
    • Cao, X

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6675MATH 4900  IND 601E

    • TBA
    • Connelly, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6676MATH 4900  IND 601F

    • TBA
    • Dennis, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6677MATH 4900  IND 601G

    • TBA
    • Guckenheimer, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6678MATH 4900  IND 601I

    • TBA
    • Healey, T

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6679MATH 4900  IND 601J

    • TBA
    • Holm, T

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6680MATH 4900  IND 601K

    • TBA
    • Hubbard, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6681MATH 4900  IND 601L

    • TBA
    • Iliachenko, I

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6682MATH 4900  IND 601M

    • TBA
    • Kassabov, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6683MATH 4900  IND 601N

    • TBA
    • Knutson, A

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6684MATH 4900  IND 601O

    • TBA
    • Levine, L

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6685MATH 4900  IND 601P

    • TBA
    • Manning, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6686MATH 4900  IND 601Q

    • TBA
    • Meszaros, K

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6687MATH 4900  IND 601R

    • TBA
    • Moore, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6688MATH 4900  IND 601S

    • TBA
    • Muscalu, F

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6689MATH 4900  IND 601T

    • TBA
    • Nerode, A

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6690MATH 4900  IND 601U

    • TBA
    • Nussbaum, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6691MATH 4900  IND 601V

    • TBA
    • Peeva, I

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6692MATH 4900  IND 601W

    • TBA
    • Ramakrishna, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6693MATH 4900  IND 601X

    • TBA
    • Rand, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6694MATH 4900  IND 601Y

    • TBA
    • Riley, T

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6695MATH 4900  IND 601Z

    • TBA
    • Saloff-Coste, L

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6697MATH 4900  IND 602A

    • TBA
    • Shore, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6698MATH 4900  IND 602B

    • TBA
    • Sjamaar, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6699MATH 4900  IND 602D

    • TBA
    • Gomez, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6700MATH 4900  IND 602E

    • TBA
    • Speh, B

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6701MATH 4900  IND 602F

    • TBA
    • Stillman, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6702MATH 4900  IND 602G

    • TBA
    • Strichartz, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6703MATH 4900  IND 602H

    • TBA
    • Strogatz, S

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6704MATH 4900  IND 602I

    • TBA
    • Swartz, E

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6705MATH 4900  IND 602J

    • TBA
    • Templier, N

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6706MATH 4900  IND 602K

    • TBA
    • Vladimirsky, A

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6707MATH 4900  IND 602L

    • TBA
    • Shokrieh, F

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6708MATH 4900  IND 602M

    • TBA
    • Wegkamp, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6709MATH 4900  IND 602N

    • TBA
    • West, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6710MATH 4900  IND 602O

    • TBA
    • Zywina, D

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  8556MATH 4900  IND 602P

    • TBA
    • Roberts, A

MATH 4901

An independent reading course by arrangement with an individual professor. The goal is for the student to master a body of mathematics outside the normal curriculum. The student and professor will set ... view course details

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Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7179MATH 4901  IND 601

    • TBA
    • Aguiar, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7180MATH 4901  IND 602

    • TBA
    • Barbasch, D

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7181MATH 4901  IND 603

    • TBA
    • Berest, Y

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7182MATH 4901  IND 604

    • TBA
    • Billera, L

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7183MATH 4901  IND 605

    • TBA
    • Cao, X

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7184MATH 4901  IND 606

    • TBA
    • Connelly, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7185MATH 4901  IND 607

    • TBA
    • Dennis, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7186MATH 4901  IND 608

    • TBA
    • Guckenheimer, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7187MATH 4901  IND 610

    • TBA
    • Healey, T

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7188MATH 4901  IND 611

    • TBA
    • Holm, T

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7189MATH 4901  IND 612

    • TBA
    • Hubbard, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7190MATH 4901  IND 613

    • TBA
    • Iliachenko, I

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7191MATH 4901  IND 614

    • TBA
    • Kassabov, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7192MATH 4901  IND 615

    • TBA
    • Knutson, A

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7193MATH 4901  IND 616

    • TBA
    • Levine, L

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7194MATH 4901  IND 617

    • TBA
    • Manning, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7195MATH 4901  IND 618

    • TBA
    • Meszaros, K

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7196MATH 4901  IND 619

    • TBA
    • Moore, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7197MATH 4901  IND 620

    • TBA
    • Muscalu, F

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7198MATH 4901  IND 621

    • TBA
    • Nerode, A

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7199MATH 4901  IND 622

    • TBA
    • Nussbaum, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7200MATH 4901  IND 623

    • TBA
    • Peeva, I

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7201MATH 4901  IND 624

    • TBA
    • Ramakrishna, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7202MATH 4901  IND 625

    • TBA
    • Rand, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7203MATH 4901  IND 626

    • TBA
    • Riley, T

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7204MATH 4901  IND 627

    • TBA
    • Saloff-Coste, L

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7205MATH 4901  IND 628

    • TBA
    • Sen, S

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7206MATH 4901  IND 629

    • TBA
    • Shore, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7207MATH 4901  IND 630

    • TBA
    • Sjamaar, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7208MATH 4901  IND 633

    • TBA
    • Speh, B

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7209MATH 4901  IND 634

    • TBA
    • Stillman, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7210MATH 4901  IND 635

    • TBA
    • Strichartz, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7211MATH 4901  IND 636

    • TBA
    • Strogatz, S

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7212MATH 4901  IND 637

    • TBA
    • Swartz, E

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7213MATH 4901  IND 638

    • TBA
    • Templier, N

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7214MATH 4901  IND 639

    • TBA
    • Vladimirsky, A

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7215MATH 4901  IND 641

    • TBA
    • Wegkamp, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7216MATH 4901  IND 642

    • TBA
    • West, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7217MATH 4901  IND 643

    • TBA
    • Zywina, D

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  8158MATH 4901  IND 644

    • TBA
    • Morley, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  9669MATH 4901  IND 645

    • TBA
    • Hwang, B

MATH 5080

Examines principles underlying the content of the secondary school mathematics curriculum, including connections with the history of mathematics, technology, and mathematics education research. One credit ... view course details

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  •  

  • 1-3 Credits Stdnt Opt

  •  5644MATH 5080  SEM 101

    • TBA
    • Huntley, M

MATH 6120

This course covers complex analysis, Fourier analysis, and distribution theory. view course details

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  •  

  • 4 Credits Stdnt Opt

  •  5645MATH 6120  LEC 001

MATH 6160

This course highlights applications of functional analysis to the theory of partial differential equations (PDEs).  It covers parts of the basic theory of linear (elliptic and evolutionary) PDEs, including ... view course details

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  •  

  • 4 Credits Stdnt Opt

  • 15989MATH 6160  LEC 001

MATH 6270

Topics include review of planar (single-degree-of-freedom) systems; local and global analysis; structural stability and bifurcations in planar systems; center manifolds and normal forms; the averaging ... view course details

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Syllabi: none
  •   Combined with: MAE 7760

  • 4 Credits Stdnt Opt

  • 16043MATH 6270  LEC 001

MATH 6320

MATH 6310-6320 are the core algebra courses in the mathematics graduate program. MATH 6320 covers Galois theory, representation theory of finite groups, and introduction to homological algebra. view course details

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  •  

  • 4 Credits Stdnt Opt

  •  5647MATH 6320  LEC 001

MATH 6350

A first course on homological algebra. Topics will include a brief introduction to categories and functors, chain and cochain complexes, operations on complexes, (co)homology, standard resolutions (injective, ... view course details

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  •  

  • 4 Credits Stdnt Opt

  • 15994MATH 6350  LEC 001

MATH 6370

An introduction to number theory focusing on the algebraic theory. Topics include, but are not limited to, number fields, Dedekind domains, class groups, Dirichlet's unit theorem, local fields, ramification, ... view course details

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  •  

  • 4 Credits Stdnt Opt

  •  8806MATH 6370  LEC 001

MATH 6410

An introduction to enumerative combinatorics from an algebraic, geometric and topological point of view. Topics include, but are not limited to, permutation statistics, partitions, generating functions, ... view course details

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  •  

  • 4 Credits Stdnt Opt

  • 16000MATH 6410  LEC 001

MATH 6510

MATH 6510-MATH 6520 are the core topology courses in the mathematics graduate program. MATH 6510 is an introductory study of certain geometric processes for associating algebraic objects such as groups ... view course details

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Syllabi: 1 available
  •  

  • 4 Credits Stdnt Opt

  •  5648MATH 6510  LEC 001

MATH 6630

Symplectic geometry is a branch of differential geometry which studies manifolds endowed with a nondegenerate closed 2-form. The field originated as the mathematics of classical (Hamiltonian) mechanics ... view course details

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  •  

  • 4 Credits Stdnt Opt

  • 17484MATH 6630  LEC 001

MATH 6720

Conditional expectation, martingales, Brownian motion. Other topics such as Markov chains, ergodic theory, and stochastic calculus depending on time and interests of the instructor. view course details

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  •  

  • 4 Credits Stdnt Opt

  •  5649MATH 6720  LEC 001

MATH 6730

This course will focus on the finite sample theory of statistical inference, emphasizing estimation, hypothesis testing, and confidence intervals.  Specific topics include: uniformly minimum variance unbiased ... view course details

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Syllabi: none
  •   Choose one lecture and one discussion. Combined with: STSCI 6730

  • 4 Credits Stdnt Opt

  •  8474MATH 6730  LEC 001

  • Prerequisites: STSCI 4090/BTRY 4090 (Theory of Statistics), MATH 6710 (measure theoretic probability) or permission of instructor. The Audit option requires permission of the Instructor.

  •  8475MATH 6730  DIS 201

    • W
    • Bunea, F

MATH 6830

Introduction to model theory at the level of the books by Hodges or Chang and Keisler. view course details

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  •  

  • 4 Credits Stdnt Opt

  • 16001MATH 6830  LEC 001

  • This course will given an introduction to model theory, taught from a more algebraic perspective. We will start by reviewing the compactness and completeness theorem. The goal of the course is to prove Morley's Categoricity Theorem, which characterizes when the isomorphism type of an uncountable model of a given theory is determined by its cardinality. Along the way, we will develop several concepts and tools which are important in their own right: the Lowenheim-Skolem theorem, the Vaught's test for the completeness of a first order theory, quantifier elimination, back and forth arguments, quantifier elimination, stability, and indiscernability. Students should ideally have had some exposure to predicate logic (structures, satisfaction, proof, the completeness theorem), although a properly motivated student can pick up the relevant knowledge as it is reviewed.

MATH 7120

Selection of advanced topics from analysis. Course content varies. view course details

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  •  

  • 4 Credits Sat/Unsat

  •  8215MATH 7120  LEC 001

  • The first part of this course will discuss positive Einstein 4-manifolds and classifications. The second part of this course will discuss current development of the Ricci flow on 4-manifolds. Graduate student participation will be expected for the second part.

MATH 7130

Covers topological vector spaces, Banach and Hilbert spaces, and Banach algebras. Additional topics selected by instructor. view course details

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  •  

  • 4 Credits Sat/Unsat

  • 16002MATH 7130  LEC 001

MATH 7290

Talks on various methods in scientific computing, the analysis of their convergence properties and computational efficiency, and their adaptation to specific applications. view course details

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Syllabi: none
  •   Combined with: CS 7290

  • 1 Credit Sat/Unsat

MATH 7390

Topics will vary depending on the instructor and the level of the audience. They range from representation theory of Lie algebras and of real and p-adic Lie groups, geometric representation theory, quantum ... view course details

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Syllabi: none
  •  

  • 4 Credits Sat/Unsat

  •  8216MATH 7390  LEC 001

  • An Introduction to Affine Grassmannians and their Applications Affine Grassmannians are infinite-dimensional spaces that are central objects in geometric representation theory and in the study of moduli spaces of G-bundles on algebraic curves. They have also come to play an increasingly important role in number theory. In this course, we will study their basic geometric properties and discuss some applications.

MATH 7520

A seminar on an advanced topic in topology or a related subject. Content varies. The format is usually that the participants take turns to present. view course details

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Syllabi: none
  •  

  • 4 Credits Sat/Unsat

  •  7847MATH 7520  SEM 101

  • An Introduction to Geometric Group Theory Geometric Group Theory is the interface between algebra, geometry, and topology in the context of infinite discrete groups. This seminar will be an introduction to some of its central themes, examples, techniques, and questions.

MATH 7560

A weekly seminar in which visiting or local speakers present results in topology, geometric group theory, or related subjects. view course details

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  •  

  • 4 Credits Sat/Unsat

  •  5650MATH 7560  SEM 101

MATH 7720

Selection of advanced topics from stochastic processes. Content varies. view course details

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  •  

  • 4 Credits Sat/Unsat

  • 16774MATH 7720  LEC 001

  • This course will be an introduction to random walks on finitely generated amenable groups. The emphasize will be on non-abelian groups. In the first part of the course, we will discuss how the notion of volume growth impact problems such as isoperimetry and probability of return to the starting point. We will define the notions of spectral profile and isoperimetric profile and relate these notions to certain functional inequalities.

MATH 7820

A twice weekly seminar in logic. Typically, a topic is selected for each semester, and at least half of the meetings of the course are devoted to this topic with presentations primarily by students. ... view course details

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Syllabi: none
  •  

  • 4 Credits Sat/Unsat

  •  5642MATH 7820  SEM 101

MATH 7900

Supervised research for the doctoral dissertation. view course details

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  •  

  • 1-6 Credits Stdnt Opt

  •  5643MATH 7900  IND 601

    • TBA
    • Meszaros, K

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  6711MATH 7900  IND 601A

    • TBA
    • Staff