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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Syllabi: none
  •   Regular Academic Session. 

  • 1 Credit Sat/Unsat

  •  5469 MATH 1006   TA 651

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

Syllabi: none
  •   Regular Academic Session. 

  • 1 Credit Sat/Unsat

  •  5470 MATH 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
  •   Regular Academic Session. 

  • 1 Credit Sat/Unsat

  •  5467 MATH 1011   TA 651

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

Syllabi: none
  •   Regular Academic Session. 

  • 1 Credit Sat/Unsat

  •  5468 MATH 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
  •   Regular Academic Session. 

  • 1 Credit Sat/Unsat

  •  5465 MATH 1012   TA 651

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

Syllabi: none
  •   Regular Academic Session. 

  • 1 Credit Sat/Unsat

  •  5466 MATH 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
  •   Regular Academic Session. 

  • 1 Credit Sat/Unsat

  •  9515 MATH 1021   TA 651

Syllabi: none
  •   Regular Academic Session. 

  • 1 Credit Sat/Unsat

  •  9516 MATH 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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Syllabi: none
  •   Regular Academic Session. 

  • 1 Credit Graded

  •  7043 MATH 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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Syllabi: none
  •   Regular Academic Session.  Choose one lecture and one discussion.

  • 3 Credits Stdnt Opt

  •  5535 MATH 1106   LEC 001

  •  8811 MATH 1106   LEC 002

  •  5536 MATH 1106   DIS 201

  •  5537 MATH 1106   DIS 202

  •  5538 MATH 1106   DIS 203

  •  5539 MATH 1106   DIS 204

  •  7156 MATH 1106   DIS 205

  •  7157 MATH 1106   DIS 206

  •  8812 MATH 1106   DIS 207

  •  8813 MATH 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
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5651 MATH 1110   LEC 001

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5652 MATH 1110   LEC 002

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5653 MATH 1110   LEC 003

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5654 MATH 1110   LEC 004

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5655 MATH 1110   LEC 005

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5656 MATH 1110   LEC 006

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5657 MATH 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
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  8814 MATH 1120   LEC 001

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5661 MATH 1120   LEC 002

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  8206 MATH 1120   LEC 003

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  8207 MATH 1120   LEC 004

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  8208 MATH 1120   LEC 005

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  8209 MATH 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
  •   Regular Academic Session. 

  • 3 Credits Stdnt Opt

  •  5476 MATH 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.

Syllabi: none
  •   Regular Academic Session. 

  • 3 Credits Stdnt Opt

  •  7158 MATH 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:
  •   Regular Academic Session.  Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5662 MATH 1710   LEC 001

  •  5663 MATH 1710   DIS 201

  •  5664 MATH 1710   DIS 202

  •  5665 MATH 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

  • Topic: FWS: Writing in Mathematics

  • 17658 MATH 1890   SEM 101

  • For more information about First-Year Writing Seminars, see the Knight Institute website at http://www.arts.cornell.edu/knight_institute

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
  •   Regular Academic Session.  Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5658 MATH 1910   LEC 001

  •  5659 MATH 1910   DIS 201

  •  5660 MATH 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
  •   Regular Academic Session.  Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5462 MATH 1920   LEC 001

  •  5463 MATH 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.

  •  5464 MATH 1920   DIS 201

  •  5523 MATH 1920   DIS 202

  •  5524 MATH 1920   DIS 203

  •  5525 MATH 1920   DIS 204

  •  5526 MATH 1920   DIS 205

  •  5527 MATH 1920   DIS 206

  •  5528 MATH 1920   DIS 207

  •  5529 MATH 1920   DIS 208

  •  5530 MATH 1920   DIS 209

  •  5531 MATH 1920   DIS 210

  •  5532 MATH 1920   DIS 211

  •  5533 MATH 1920   DIS 212

  •  9439 MATH 1920   DIS 213

  •  9440 MATH 1920   DIS 214

  • 17423 MATH 1920   DIS 215

  • 17424 MATH 1920   DIS 216

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
  •   Regular Academic Session.  Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5484 MATH 2130   LEC 001

  •  5485 MATH 2130   DIS 201

  •  5486 MATH 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
  •   Regular Academic Session.  Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5487 MATH 2210   LEC 001

  •  5488 MATH 2210   LEC 002

  •  5489 MATH 2210   DIS 201

  •  5490 MATH 2210   DIS 202

  •  5491 MATH 2210   DIS 203

  •  7313 MATH 2210   DIS 204

  •  7659 MATH 2210   DIS 205

  •  8210 MATH 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
  •   Regular Academic Session.  Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5492 MATH 2220   LEC 001

  •  5493 MATH 2220   LEC 002

  •  5494 MATH 2220   DIS 201

  •  5495 MATH 2220   DIS 202

  •  5496 MATH 2220   DIS 203

  •  7044 MATH 2220   DIS 204

  •  7418 MATH 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
  •   Regular Academic Session.  Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5497 MATH 2240   LEC 001

  •  5498 MATH 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
  •   Regular Academic Session.  Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5501 MATH 2930   LEC 001

  •  5502 MATH 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.

  •  5503 MATH 2930   DIS 201

  •  7661 MATH 2930   DIS 202

  •  5504 MATH 2930   DIS 203

  •  5505 MATH 2930   DIS 204

  •  5506 MATH 2930   DIS 205

  •  5507 MATH 2930   DIS 206

  •  5508 MATH 2930   DIS 207

  •  5509 MATH 2930   DIS 208

  •  5510 MATH 2930   DIS 209

  •  5511 MATH 2930   DIS 210

  •  5512 MATH 2930   DIS 211

  •  5513 MATH 2930   DIS 212

  •  5514 MATH 2930   DIS 213

  •  5515 MATH 2930   DIS 214

  •  5516 MATH 2930   DIS 215

  •  8535 MATH 2930   DIS 216

  •  9437 MATH 2930   DIS 217

  •  9438 MATH 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
  •   Regular Academic Session.  Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5540 MATH 2940   LEC 001

  •  5541 MATH 2940   LEC 002

  •  5542 MATH 2940   DIS 201

  •  5543 MATH 2940   DIS 202

  •  5544 MATH 2940   DIS 203

  •  5545 MATH 2940   DIS 204

  •  5546 MATH 2940   DIS 205

  •  5547 MATH 2940   DIS 206

  •  5548 MATH 2940   DIS 207

  •  5549 MATH 2940   DIS 208

  •  5550 MATH 2940   DIS 209

  •  5551 MATH 2940   DIS 210

  •  5552 MATH 2940   DIS 211

  •  7045 MATH 2940   DIS 212

  •  5553 MATH 2940   DIS 213

  •  5554 MATH 2940   DIS 214

  •  5555 MATH 2940   DIS 215

  •  8100 MATH 2940   DIS 216

  •  8101 MATH 2940   DIS 217

  •  8102 MATH 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
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5480 MATH 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
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5481 MATH 3110   LEC 001

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  7390 MATH 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
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5518 MATH 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
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5482 MATH 3360   LEC 001

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5483 MATH 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
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 17164 MATH 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
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5499 MATH 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
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5500 MATH 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
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  8212 MATH 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
  •   Regular Academic Session.  Combined with: MAE 5790

  • 4 Credits Stdnt Opt

  •  7846 MATH 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
  •   Regular Academic Session.  Combined with: CS 4220

  • 4 Credits Stdnt Opt

  •  7600 MATH 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
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5517 MATH 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
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  8213 MATH 4310   LEC 001

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 17169 MATH 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
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5519 MATH 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
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 17406 MATH 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
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  7102 MATH 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
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5520 MATH 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
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 17171 MATH 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
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5521 MATH 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
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5824 MATH 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
  •   Regular Academic Session.  Combined with: PHIL 4311PHIL 6310

  • 4 Credits Stdnt Opt

  • Topic: Intensional Logics

  • 16067 MATH 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
  •   Regular Academic Session.  Combined with: CS 4860

  • 4 Credits Stdnt Opt

  • 16883 MATH 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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Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  5522 MATH 4900   IND 601

    • TBA
    • Aguiar, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6696 MATH 4900   IND 602

    • TBA
    • Sen, S

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6671 MATH 4900   IND 601A

    • TBA
    • Barbasch, D

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6672 MATH 4900   IND 601B

    • TBA
    • Berest, Y

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6673 MATH 4900   IND 601C

    • TBA
    • Billera, L

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6674 MATH 4900   IND 601D

    • TBA
    • Cao, X

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6675 MATH 4900   IND 601E

    • TBA
    • Connelly, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6676 MATH 4900   IND 601F

    • TBA
    • Dennis, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6677 MATH 4900   IND 601G

    • TBA
    • Guckenheimer, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6678 MATH 4900   IND 601I

    • TBA
    • Healey, T

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6679 MATH 4900   IND 601J

    • TBA
    • Holm, T

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6680 MATH 4900   IND 601K

    • TBA
    • Hubbard, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6681 MATH 4900   IND 601L

    • TBA
    • Iliachenko, I

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6682 MATH 4900   IND 601M

    • TBA
    • Kassabov, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6683 MATH 4900   IND 601N

    • TBA
    • Knutson, A

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6684 MATH 4900   IND 601O

    • TBA
    • Levine, L

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6685 MATH 4900   IND 601P

    • TBA
    • Manning, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6686 MATH 4900   IND 601Q

    • TBA
    • Meszaros, K

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6687 MATH 4900   IND 601R

    • TBA
    • Moore, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6688 MATH 4900   IND 601S

    • TBA
    • Muscalu, F

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6689 MATH 4900   IND 601T

    • TBA
    • Nerode, A

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6690 MATH 4900   IND 601U

    • TBA
    • Nussbaum, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6691 MATH 4900   IND 601V

    • TBA
    • Peeva, I

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6692 MATH 4900   IND 601W

    • TBA
    • Ramakrishna, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6693 MATH 4900   IND 601X

    • TBA
    • Rand, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6694 MATH 4900   IND 601Y

    • TBA
    • Riley, T

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6695 MATH 4900   IND 601Z

    • TBA
    • Saloff-Coste, L

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6697 MATH 4900   IND 602A

    • TBA
    • Shore, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6698 MATH 4900   IND 602B

    • TBA
    • Sjamaar, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6699 MATH 4900   IND 602D

    • TBA
    • Gomez, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6700 MATH 4900   IND 602E

    • TBA
    • Speh, B

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6701 MATH 4900   IND 602F

    • TBA
    • Stillman, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6702 MATH 4900   IND 602G

    • TBA
    • Strichartz, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6703 MATH 4900   IND 602H

    • TBA
    • Strogatz, S

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6704 MATH 4900   IND 602I

    • TBA
    • Swartz, E

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6705 MATH 4900   IND 602J

    • TBA
    • Templier, N

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6706 MATH 4900   IND 602K

    • TBA
    • Vladimirsky, A

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6707 MATH 4900   IND 602L

    • TBA
    • Shokrieh, F

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6708 MATH 4900   IND 602M

    • TBA
    • Wegkamp, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6709 MATH 4900   IND 602N

    • TBA
    • West, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6710 MATH 4900   IND 602O

    • TBA
    • Zywina, D

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  8556 MATH 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
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7179 MATH 4901   IND 601

    • TBA
    • Aguiar, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7180 MATH 4901   IND 602

    • TBA
    • Barbasch, D

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7181 MATH 4901   IND 603

    • TBA
    • Berest, Y

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7182 MATH 4901   IND 604

    • TBA
    • Billera, L

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7183 MATH 4901   IND 605

    • TBA
    • Cao, X

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7184 MATH 4901   IND 606

    • TBA
    • Connelly, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7185 MATH 4901   IND 607

    • TBA
    • Dennis, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7186 MATH 4901   IND 608

    • TBA
    • Guckenheimer, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7187 MATH 4901   IND 610

    • TBA
    • Healey, T

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7188 MATH 4901   IND 611

    • TBA
    • Holm, T

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7189 MATH 4901   IND 612

    • TBA
    • Hubbard, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7190 MATH 4901   IND 613

    • TBA
    • Iliachenko, I

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7191 MATH 4901   IND 614

    • TBA
    • Kassabov, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7192 MATH 4901   IND 615

    • TBA
    • Knutson, A

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7193 MATH 4901   IND 616

    • TBA
    • Levine, L

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7194 MATH 4901   IND 617

    • TBA
    • Manning, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7195 MATH 4901   IND 618

    • TBA
    • Meszaros, K

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7196 MATH 4901   IND 619

    • TBA
    • Moore, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7197 MATH 4901   IND 620

    • TBA
    • Muscalu, F

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7198 MATH 4901   IND 621

    • TBA
    • Nerode, A

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7199 MATH 4901   IND 622

    • TBA
    • Nussbaum, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7200 MATH 4901   IND 623

    • TBA
    • Peeva, I

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7201 MATH 4901   IND 624

    • TBA
    • Ramakrishna, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7202 MATH 4901   IND 625

    • TBA
    • Rand, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7203 MATH 4901   IND 626

    • TBA
    • Riley, T

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7204 MATH 4901   IND 627

    • TBA
    • Saloff-Coste, L

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7205 MATH 4901   IND 628

    • TBA
    • Sen, S

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7206 MATH 4901   IND 629

    • TBA
    • Shore, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7207 MATH 4901   IND 630

    • TBA
    • Sjamaar, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7208 MATH 4901   IND 633

    • TBA
    • Speh, B

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7209 MATH 4901   IND 634

    • TBA
    • Stillman, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7210 MATH 4901   IND 635

    • TBA
    • Strichartz, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7211 MATH 4901   IND 636

    • TBA
    • Strogatz, S

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7212 MATH 4901   IND 637

    • TBA
    • Swartz, E

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7213 MATH 4901   IND 638

    • TBA
    • Templier, N

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7214 MATH 4901   IND 639

    • TBA
    • Vladimirsky, A

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7215 MATH 4901   IND 641

    • TBA
    • Wegkamp, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7216 MATH 4901   IND 642

    • TBA
    • West, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7217 MATH 4901   IND 643

    • TBA
    • Zywina, D

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  8158 MATH 4901   IND 644

    • TBA
    • Morley, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  9669 MATH 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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Syllabi: none
  •   Regular Academic Session. 

  • 1-3 Credits Stdnt Opt

  •  5644 MATH 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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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5645 MATH 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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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 15989 MATH 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
  •   Regular Academic Session.  Combined with: MAE 7760

  • 4 Credits Stdnt Opt

  • 16043 MATH 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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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5647 MATH 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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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 15994 MATH 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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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  8806 MATH 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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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16000 MATH 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:
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5648 MATH 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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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 17484 MATH 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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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5649 MATH 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
  •   Regular Academic Session.  Choose one lecture and one discussion. Combined with: STSCI 6730

  • 4 Credits Stdnt Opt

  •  8474 MATH 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.

  •  8475 MATH 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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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16001 MATH 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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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Sat/Unsat

  •  8215 MATH 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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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16002 MATH 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
  •   Regular Academic Session.  Combined with: CS 7290

  • 1 Credit Sat/Unsat

  •  7132 MATH 7290   SEM 101

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
  •   Regular Academic Session. 

  • 4 Credits Sat/Unsat

  •  8216 MATH 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
  •   Regular Academic Session. 

  • 4 Credits Sat/Unsat

  •  7847 MATH 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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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Sat/Unsat

  •  5650 MATH 7560   SEM 101

MATH 7720

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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Sat/Unsat

  • 16774 MATH 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
  •   Regular Academic Session. 

  • 4 Credits Sat/Unsat

  •  5642 MATH 7820   SEM 101

MATH 7900

Supervised research for the doctoral dissertation. view course details

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Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  5643 MATH 7900   IND 601

    • TBA
    • Meszaros, K

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6711 MATH 7900   IND 601A

    • TBA
    • Staff