Mathematics (MATH)Arts and Sciences

Showing 62 results.

Course descriptions provided by the Courses of Study 2019-2020.

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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 1 Credit Sat/Unsat

  •  5975 MATH 1011   TA 651

Syllabi: none
  •   Regular Academic Session. 

  • 1 Credit Sat/Unsat

  •  6170 MATH 1011   TA 652

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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 1 Credit Sat/Unsat

  •  5976 MATH 1012   TA 651

Syllabi: none
  •   Regular Academic Session. 

  • 1 Credit Sat/Unsat

  •  5977 MATH 1012   TA 652

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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 1 Credit Sat/Unsat

  •  8386 MATH 1021   TA 651

Syllabi: none
  •   Regular Academic Session. 

  • 1 Credit Sat/Unsat

  •  8387 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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 1 Credit Graded

  •  7172 MATH 1101   LEC 001

MATH 1105

Introduction to linear algebra, probability, and Markov chains that develops the parts of the theory most relevant for applications. Specific topics include equations of lines, the method of least squares, ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 3 Credits Stdnt Opt

  •  5478 MATH 1105   LEC 001

Syllabi: none
  •   Regular Academic Session. 

  • 3 Credits Stdnt Opt

  •  8382 MATH 1105   LEC 002

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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5479 MATH 1110   LEC 001

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5480 MATH 1110   LEC 002

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5481 MATH 1110   LEC 003

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5482 MATH 1110   LEC 004

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5483 MATH 1110   LEC 005

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5484 MATH 1110   LEC 006

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  6604 MATH 1110   LEC 007

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5485 MATH 1110   LEC 008

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5486 MATH 1110   LEC 009

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5487 MATH 1110   LEC 010

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5488 MATH 1110   LEC 011

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  9141 MATH 1110   LEC 012

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5489 MATH 1110   LEC 013

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5490 MATH 1110   LEC 014

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5491 MATH 1110   LEC 015

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5492 MATH 1110   LEC 016

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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5493 MATH 1120   LEC 001

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5494 MATH 1120   LEC 002

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5495 MATH 1120   LEC 003

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5496 MATH 1120   LEC 004

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5497 MATH 1120   LEC 005

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5498 MATH 1120   LEC 006

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5499 MATH 1120   LEC 007

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  8632 MATH 1120   LEC 008

MATH 1300

For students who wish to experience how mathematical ideas naturally evolve. The course emphasizes ideas and imagination rather than techniques and calculations. Homework involves students in actively ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 3 Credits Stdnt Opt

  •  7743 MATH 1300   LEC 001

  • Arts & Sciences students may pre-enroll in MATH 1300 through Student Center up to a limit of 24 students. All others must add themselves to the waiting list (not in Student Center) during the add period. More information will be posted in August here - http://math.cornell.edu/enrollment-guide - and a link to the waiting list will be added when add/drop starts.

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

View Enrollment Information

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

  • 4 Credits Stdnt Opt

  •  5502 MATH 1710   LEC 001

  •  5503 MATH 1710   DIS 201

  •  5504 MATH 1710   DIS 202

  •  5505 MATH 1710   DIS 203

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

View Enrollment Information

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

  • 4 Credits Stdnt Opt

  •  5506 MATH 1910   LEC 001

  • Co-enrollment in a one-credit Academic Excellence Workshop (ENGRG 1091) is an option for engineering students who wish to enhance their understanding of the course material.

  •  5508 MATH 1910   LEC 002

  • Co-enrollment in a one-credit Academic Excellence Workshop (ENGRG 1091) is an option for engineering students who wish to enhance their understanding of the course material.

  •  5509 MATH 1910   LEC 003

  • Co-enrollment in a one-credit Academic Excellence Workshop (ENGRG 1091) is an option for engineering students who wish to enhance their understanding of the course material.

  •  8959 MATH 1910   LEC 004

  • Co-enrollment in a one-credit Academic Excellence Workshop (ENGRG 1091) is an option for engineering students who wish to enhance their understanding of the course material.

  •  5507 MATH 1910   DIS 201

  •  7846 MATH 1910   DIS 202

  •  5510 MATH 1910   DIS 203

  •  5511 MATH 1910   DIS 204

  •  5512 MATH 1910   DIS 205

  •  5513 MATH 1910   DIS 206

  •  5514 MATH 1910   DIS 207

  •  5515 MATH 1910   DIS 208

  •  5516 MATH 1910   DIS 209

  •  5517 MATH 1910   DIS 210

  •  5518 MATH 1910   DIS 211

  •  5519 MATH 1910   DIS 212

  •  8803 MATH 1910   DIS 213

  •  8804 MATH 1910   DIS 214

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

View Enrollment Information

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

  • 4 Credits Stdnt Opt

  •  5520 MATH 1920   LEC 001

  • 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.

  •  5522 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.

  •  5524 MATH 1920   LEC 003

  • 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.

  •  5526 MATH 1920   LEC 004

  • 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.

  •  5521 MATH 1920   DIS 201

  •  5523 MATH 1920   DIS 202

  •  5525 MATH 1920   DIS 203

  •  5527 MATH 1920   DIS 204

  •  5528 MATH 1920   DIS 205

  •  5529 MATH 1920   DIS 206

  •  5530 MATH 1920   DIS 207

  •  9485 MATH 1920   DIS 208

  •  5531 MATH 1920   DIS 209

  •  5532 MATH 1920   DIS 210

  •  5533 MATH 1920   DIS 211

  •  9486 MATH 1920   DIS 212

  •  5534 MATH 1920   DIS 213

  •  5535 MATH 1920   DIS 214

  •  7143 MATH 1920   DIS 215

  •  7144 MATH 1920   DIS 216

  •  7415 MATH 1920   DIS 217

  •  7416 MATH 1920   DIS 218

  •  7656 MATH 1920   DIS 219

  •  7657 MATH 1920   DIS 220

  •  8384 MATH 1920   DIS 221

  •  8385 MATH 1920   DIS 222

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

View Enrollment Information

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

  • 4 Credits Stdnt Opt

  •  5536 MATH 2210   LEC 001

  •  5538 MATH 2210   LEC 002

  •  5540 MATH 2210   LEC 003

  •  5542 MATH 2210   LEC 004

  •  5537 MATH 2210   DIS 201

  •  5539 MATH 2210   DIS 202

  •  5541 MATH 2210   DIS 203

  •  5543 MATH 2210   DIS 204

  •  5544 MATH 2210   DIS 205

  •  7142 MATH 2210   DIS 206

  •  8101 MATH 2210   DIS 207

  •  8102 MATH 2210   DIS 208

  •  8103 MATH 2210   DIS 209

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

View Enrollment Information

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

  • 4 Credits Stdnt Opt

  •  5545 MATH 2220   LEC 001

  •  5546 MATH 2220   DIS 201

  •  5547 MATH 2220   DIS 202

  •  7471 MATH 2220   DIS 203

MATH 2230

Topics include vectors, matrices, and linear transformations; differential calculus of functions of several variables; inverse and implicit function theorems; quadratic forms, extrema, and manifolds; multiple ... view course details

View Enrollment Information

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

  • 4 Credits Stdnt Opt

  •  5548 MATH 2230   LEC 001

  •  5549 MATH 2230   DIS 201

MATH 2310

Introduction to linear algebra for students who wish to focus on the practical applications of the subject. A wide range of applications are discussed and computer software may be used. The main topics ... view course details

View Enrollment Information

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

  • 4 Credits Stdnt Opt

  •  5550 MATH 2310   LEC 001

  •  8107 MATH 2310   DIS 201

  •  8108 MATH 2310   DIS 202

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

View Enrollment Information

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

  • 4 Credits Stdnt Opt

  •  5551 MATH 2930   LEC 001

  • 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.

  •  5552 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.

  •  5553 MATH 2930   DIS 201

  •  5554 MATH 2930   DIS 202

  •  5555 MATH 2930   DIS 203

  •  5556 MATH 2930   DIS 204

  •  5557 MATH 2930   DIS 205

  •  5558 MATH 2930   DIS 206

  •  5559 MATH 2930   DIS 207

  •  5560 MATH 2930   DIS 208

  •  5561 MATH 2930   DIS 209

  •  5562 MATH 2930   DIS 210

  •  5563 MATH 2930   DIS 211

  •  5564 MATH 2930   DIS 212

  •  5565 MATH 2930   DIS 213

  •  5566 MATH 2930   DIS 214

  •  5567 MATH 2930   DIS 215

  •  9722 MATH 2930   DIS 216

  •  9723 MATH 2930   DIS 217

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

View Enrollment Information

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

  • 4 Credits Stdnt Opt

  •  5568 MATH 2940   LEC 001

  • Co-enrollment in a one-credit Academic Excellence Workshop (ENGRG 1094) is an option for engineering students who wish to enhance their understanding of the course material.

  •  5569 MATH 2940   LEC 002

  • Co-enrollment in a one-credit Academic Excellence Workshop (ENGRG 1094) is an option for engineering students who wish to enhance their understanding of the course material.

  •  5570 MATH 2940   DIS 201

  •  5572 MATH 2940   DIS 203

  •  5573 MATH 2940   DIS 204

  •  5574 MATH 2940   DIS 205

  •  5575 MATH 2940   DIS 206

  •  5576 MATH 2940   DIS 207

  •  5577 MATH 2940   DIS 208

  •  5578 MATH 2940   DIS 209

  •  5579 MATH 2940   DIS 210

  •  5580 MATH 2940   DIS 211

  •  5581 MATH 2940   DIS 212

  •  5582 MATH 2940   DIS 213

  •  5583 MATH 2940   DIS 214

  •  5584 MATH 2940   DIS 215

  •  8550 MATH 2940   DIS 216

  •  8551 MATH 2940   DIS 217

  •  8552 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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  8106 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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5585 MATH 3110   LEC 001

  • Students unable to pre-enroll must add themselves to the waiting list (not in Student Center) during the add period. Information will be posted here - http://math.cornell.edu/enrollment-guide. Any student unable to pre-enroll should be actively considering other options.

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  8297 MATH 3110   LEC 002

  • Students unable to pre-enroll must add themselves to the waiting list (not in Student Center) during the add period. Information will be posted here - http://math.cornell.edu/enrollment-guide. Any student unable to pre-enroll should be actively considering other options.

MATH 3210

A manifold is a type of subset of Euclidean space that has a well-defined tangent space at every point. Such a set is amenable to the methods of multivariable calculus. After a review of some relevant ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5587 MATH 3210   LEC 001

MATH 3230

A brief one-semester introduction to the theory and techniques of both ordinary and partial differential equations. Topics for ordinary differential equations may include initial-value and two-point boundary ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  7387 MATH 3230   LEC 001

MATH 3320

An introductory course on number theory, the branch of algebra that studies the deeper properties of integers and their generalizations. Usually includes most of the following topics: the Euclidean algorithm, ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5588 MATH 3320   LEC 001

  • Students unable to pre-enroll must add themselves to the waiting list (not in Student Center) during the add period. More information will be posted in August here - http://math.cornell.edu/enrollment-guide - and a link to the waiting list will be added when add/drop starts in August. Any student unable to pre-enroll should be actively considering other options.

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  8298 MATH 3320   LEC 002

  • Students unable to pre-enroll must add themselves to the waiting list (not in Student Center) during the add period. More information will be posted in August here - http://math.cornell.edu/enrollment-guide - and a link to the waiting list will be added when add/drop starts in August. Any student unable to pre-enroll should be actively considering other options.

MATH 3610

Introduction to the theory and practice of mathematical modeling. This course compares and contrasts different types of mathematical models (discrete vs. continuous, deterministic vs. stochastic), focusing ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16338 MATH 3610   LEC 001

MATH 3850

Modal logic is a general logical framework for systematizing reasoning about qualified and relativized truth. It has been used to study the logic of possibility, time, knowledge, obligation, provability, ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session.  Combined with: PHIL 3340

  • 4 Credits Stdnt Opt

  • 18104 MATH 3850   SEM 101

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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16335 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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5589 MATH 4130   LEC 001

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5590 MATH 4130   LEC 002

MATH 4200

Covers ordinary differential equations in one and higher dimensions: qualitative, analytic, and numerical methods. Emphasis is on differential equations as models and the implications of the theory for ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5591 MATH 4200   LEC 001

MATH 4220

Covers complex variables, Fourier transforms, Laplace transforms and applications to partial differential equations. Additional topics may include an introduction to generalized functions. view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  8085 MATH 4220   LEC 001

MATH 4250

Introduction to the fundamentals of numerical analysis: error analysis, approximation, interpolation, numerical integration. In the second half of the course, the above are used to build approximate solvers ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session.  Combined with: CS 4210

  • 4 Credits Stdnt Opt

  •  5592 MATH 4250   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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5593 MATH 4310   LEC 001

MATH 4330

Honors version of a course in advanced linear algebra, which treats the subject from an abstract and axiomatic viewpoint. Topics include vector spaces, linear transformations, polynomials, determinants, ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5594 MATH 4330   LEC 001

MATH 4370

Introduction to algebraic geometry and computational algebra. In this course, students learn how to compute a Gröbner basis for polynomials in many variables. Covers the following applications: solving ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16336 MATH 4370   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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16337 MATH 4410   LEC 001

MATH 4530

Topology may be described briefly as qualitative geometry. This course begins with basic point-set topology, including connectedness, compactness, and metric spaces. Later topics may include the classification ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5595 MATH 4530   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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5596 MATH 4710   LEC 001

  • Undergraduate seniors and juniors (class standing as of fall 2018) may enroll in MATH 4710 through Student Center up to a limit of 45 students. All others must add themselves to the waiting list (not in Student Center) during the add period. More information will be posted in August here - http://math.cornell.edu/enrollment-guide - and a link to the waiting list will be added when add/drop starts.

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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session.  Combined with: PHIL 4311

  • 4 Credits Stdnt Opt

  • Topic: Weakenings of Standard Classical 1st-Order Logic

  • 16182 MATH 4820   SEM 101

  • Fall 2019: Weakenings of standard classical 1st-order logic, with special attention to standard intuitionistic 1st-order logic, and (probably) some attention to others (free logics, 3-valued logics, maybe relevant logics). From proof-theoretic, model-theoretic, and perhaps algebraic, viewpoints, but we might digress into higher-order logics.

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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session.  Combined with: CS 4860

  • 4 Credits Stdnt Opt

  •  9575 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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  5597 MATH 4900   IND 601

    • TBA
    • Aguiar, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6928 MATH 4900   IND 601A

    • TBA
    • Barbasch, D

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6929 MATH 4900   IND 601B

    • TBA
    • Berest, Y

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6931 MATH 4900   IND 601D

    • TBA
    • Cao, X

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6932 MATH 4900   IND 601E

    • TBA
    • Connelly, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6933 MATH 4900   IND 601F

    • TBA
    • Dennis, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  8845 MATH 4900   IND 601H

    • TBA
    • Halpern-Leistner, D

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6934 MATH 4900   IND 601I

    • TBA
    • Healey, T

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6935 MATH 4900   IND 601J

    • TBA
    • Holm, T

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6936 MATH 4900   IND 601K

    • TBA
    • Hubbard, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  • 17369 MATH 4900   IND 601L

    • TBA
    • Kassabov, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6937 MATH 4900   IND 601M

    • TBA
    • Knutson, A

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6938 MATH 4900   IND 601N

    • TBA
    • Levine, L

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6939 MATH 4900   IND 601O

    • TBA
    • Mann, K

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6940 MATH 4900   IND 601P

    • TBA
    • Manning, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6941 MATH 4900   IND 601Q

    • TBA
    • Meszaros, K

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6942 MATH 4900   IND 601R

    • TBA
    • Moore, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6943 MATH 4900   IND 601S

    • TBA
    • Muscalu, F

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6944 MATH 4900   IND 601T

    • TBA
    • Nerode, A

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6945 MATH 4900   IND 601U

    • TBA
    • Nussbaum, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6946 MATH 4900   IND 601V

    • TBA
    • Peeva, I

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6947 MATH 4900   IND 601W

    • TBA
    • Ramakrishna, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6948 MATH 4900   IND 601X

    • TBA
    • Rand, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6949 MATH 4900   IND 601Y

    • TBA
    • Riley, T

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6950 MATH 4900   IND 601Z

    • TBA
    • Saloff-Coste, L

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6951 MATH 4900   IND 602

    • TBA
    • Sen, S

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6952 MATH 4900   IND 602A

    • TBA
    • Shore, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6953 MATH 4900   IND 602B

    • TBA
    • Sjamaar, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  8846 MATH 4900   IND 602C

    • TBA
    • Solecki, S

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  8847 MATH 4900   IND 602D

    • TBA
    • Sosoe, P

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6954 MATH 4900   IND 602E

    • TBA
    • Speh, B

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6955 MATH 4900   IND 602F

    • TBA
    • Stillman, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6956 MATH 4900   IND 602G

    • TBA
    • Strichartz, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6957 MATH 4900   IND 602H

    • TBA
    • Strogatz, S

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6958 MATH 4900   IND 602I

    • TBA
    • Swartz, E

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6959 MATH 4900   IND 602J

    • TBA
    • Templier, N

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6960 MATH 4900   IND 602K

    • TBA
    • Townsend, A

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  8406 MATH 4900   IND 602L

    • TBA
    • Vladimirsky, A

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6961 MATH 4900   IND 602M

    • TBA
    • Wegkamp, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6962 MATH 4900   IND 602N

    • TBA
    • West, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6963 MATH 4900   IND 602O

    • TBA
    • Zakharevich, I

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6964 MATH 4900   IND 602P

    • TBA
    • Zywina, D

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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7301 MATH 4901   IND 601

    • TBA
    • Aguiar, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7302 MATH 4901   IND 601A

    • TBA
    • Barbasch, D

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7303 MATH 4901   IND 601B

    • TBA
    • Berest, Y

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7304 MATH 4901   IND 601D

    • TBA
    • Cao, X

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7305 MATH 4901   IND 601E

    • TBA
    • Connelly, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7306 MATH 4901   IND 601F

    • TBA
    • Dennis, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  8842 MATH 4901   IND 601H

    • TBA
    • Halpern-Leistner, D

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7307 MATH 4901   IND 601I

    • TBA
    • Healey, T

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7308 MATH 4901   IND 601J

    • TBA
    • Holm, T

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7309 MATH 4901   IND 601K

    • TBA
    • Hubbard, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7310 MATH 4901   IND 601L

    • TBA
    • Kassabov, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7311 MATH 4901   IND 601M

    • TBA
    • Knutson, A

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7312 MATH 4901   IND 601N

    • TBA
    • Levine, L

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7313 MATH 4901   IND 601O

    • TBA
    • Mann, K

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7314 MATH 4901   IND 601P

    • TBA
    • Manning, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7315 MATH 4901   IND 601Q

    • TBA
    • Meszaros, K

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7316 MATH 4901   IND 601R

    • TBA
    • Moore, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7317 MATH 4901   IND 601S

    • TBA
    • Muscalu, F

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7318 MATH 4901   IND 601T

    • TBA
    • Nerode, A

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7319 MATH 4901   IND 601U

    • TBA
    • Nussbaum, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7320 MATH 4901   IND 601V

    • TBA
    • Peeva, I

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7321 MATH 4901   IND 601W

    • TBA
    • Ramakrishna, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7322 MATH 4901   IND 601X

    • TBA
    • Rand, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7323 MATH 4901   IND 601Y

    • TBA
    • Riley, T

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7324 MATH 4901   IND 601Z

    • TBA
    • Saloff-Coste, L

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7325 MATH 4901   IND 602

    • TBA
    • Sen, S

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7326 MATH 4901   IND 602A

    • TBA
    • Shore, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7327 MATH 4901   IND 602B

    • TBA
    • Sjamaar, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  8843 MATH 4901   IND 602C

    • TBA
    • Solecki, S

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  8844 MATH 4901   IND 602D

    • TBA
    • Sosoe, P

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7328 MATH 4901   IND 602E

    • TBA
    • Speh, B

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7329 MATH 4901   IND 602F

    • TBA
    • Stillman, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7330 MATH 4901   IND 602G

    • TBA
    • Strichartz, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7331 MATH 4901   IND 602H

    • TBA
    • Strogatz, S

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7332 MATH 4901   IND 602I

    • TBA
    • Swartz, E

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7333 MATH 4901   IND 602J

    • TBA
    • Templier, N

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7334 MATH 4901   IND 602K

    • TBA
    • Townsend, A

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  8407 MATH 4901   IND 602L

    • TBA
    • Vladimirsky, A

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7335 MATH 4901   IND 602M

    • TBA
    • Wegkamp, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7336 MATH 4901   IND 602N

    • TBA
    • West, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7337 MATH 4901   IND 602O

    • TBA
    • Zakharevich, I

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7461 MATH 4901   IND 602P

    • TBA
    • Zywina, D

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  • 19236 MATH 4901   IND 602Q

    • TBA
    • Nadeau, A

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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 1-3 Credits Stdnt Opt

  •  5600 MATH 5080   SEM 101

    • TBA
    • Huntley, M

MATH 6110

This course covers measure and integration and functional analysis. view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5601 MATH 6110   LEC 001

MATH 6150

This course emphasizes the "classical" aspects of partial differential equations (PDEs).  The usual topics include fundamental solutions for the Laplace/Poisson, heat and and wave equations in Rn, mean-value ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16325 MATH 6150   LEC 001

MATH 6210

Covers measure theory, integration, and Lp spaces. view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5602 MATH 6210   LEC 001

MATH 6230

This course is a self-contained introduction to the modern theory of optimal control and differential games. Dynamic programming uses Hamilton-Jacobi partial differential equations (PDEs) to encode the ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16327 MATH 6230   LEC 001

MATH 6310

MATH 6310-MATH 6320 are the core algebra courses in the mathematics graduate program. MATH 6310 covers group theory, especially finite groups; rings and modules; ideal theory in commutative rings; arithmetic ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5603 MATH 6310   LEC 001

MATH 6340

Covers Dedekind domains, primary decomposition, Hilbert basis theorem, and local rings. view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  8086 MATH 6340   LEC 001

MATH 6390

Covers the basics of Lie groups and Lie algebras. Topics include real and complex Lie groups, relations between Lie groups and Lie algebras, exponential map, homogeneous manifolds and the classification ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  8547 MATH 6390   LEC 001

MATH 6520

MATH 6510-MATH 6520 are the core topology courses in the mathematics graduate program. MATH 6520 is an introduction to geometry and topology from a differentiable viewpoint, suitable for beginning graduate ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5604 MATH 6520   LEC 001

MATH 6640

An introduction to the topology and geometry of hyperbolic manifolds. The class will begin with the geometry of hyperbolic n-space, including the upper half-space, Poincaré disc, and Lorentzian models. ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16328 MATH 6640   LEC 001

MATH 6670

A first course in algebraic geometry. Affine and projective varieties. The Nullstellensatz. Schemes and morphisms between schemes. Dimension theory. Potential topics include normalization, Hilbert schemes, ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16329 MATH 6670   LEC 001

MATH 6710

A mathematically rigorous course in probability theory which uses measure theory but begins with the basic definitions of independence and expected value in that context. Law of large numbers, Poisson ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5605 MATH 6710   LEC 001

MATH 6840

Covers theory of effectively computable functions; classification of recursively enumerable sets; degrees of recursive unsolvability; applications to logic; hierarchies; recursive functions of ordinals ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16331 MATH 6840   LEC 001

MATH 7130

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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16316 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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session.  Combined with: CS 7290

  • 1 Credit Sat/Unsat

  •  7202 MATH 7290   SEM 101

MATH 7310

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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Sat/Unsat

  •  8908 MATH 7310   LEC 001

MATH 7510

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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Sat/Unsat

  •  7744 MATH 7510   SEM 101

MATH 7550

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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Sat/Unsat

  •  5607 MATH 7550   SEM 101

MATH 7610

Selection of advanced topics from modern geometry. Content varies. view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Sat/Unsat

  • 17005 MATH 7610   LEC 001

MATH 7740

The course aims to present the developing interface between machine learning theory and statistics. Topics include an introduction to classification and pattern recognition; the connection to nonparametric ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  8383 MATH 7740   LEC 001

MATH 7810

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

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Sat/Unsat

  •  6157 MATH 7810   SEM 101

MATH 7850

Covers topics in mathematical logic which vary from year to year, such as descriptive set theory or proof theory.  May also be used to further develop material from model theory (MATH 6830), recursion ... view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Sat/Unsat

  • 16318 MATH 7850   LEC 001

MATH 7900

Supervised research for the doctoral dissertation. view course details

View Enrollment Information

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6082 MATH 7900   IND 601

    • TBA
    • Meszaros, K