Mathematics (MATH)Arts and Sciences

Showing 61 results.

Course descriptions provided by the Courses of Study 2018-2019.

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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  •  

  • 1 Credit Sat/Unsat

  •  6198MATH 1011  TA 651

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  •  

  • 1 Credit Sat/Unsat

  •  6396MATH 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

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  •  

  • 1 Credit Sat/Unsat

  •  6199MATH 1012  TA 651

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  •  

  • 1 Credit Sat/Unsat

  •  6200MATH 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

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  •  

  • 1 Credit Sat/Unsat

  •  8817MATH 1021  TA 651

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Syllabi: none
  •  

  • 1 Credit Sat/Unsat

  •  8818MATH 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

  •  7411MATH 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

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  • 3 Credits Stdnt Opt

  •  5697MATH 1105  LEC 001

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  • 3 Credits Stdnt Opt

  •  8807MATH 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

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  • 4 Credits Stdnt Opt

  •  5698MATH 1110  LEC 001

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  • 4 Credits Stdnt Opt

  •  5699MATH 1110  LEC 002

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Syllabi: none
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  • 4 Credits Stdnt Opt

  •  5700MATH 1110  LEC 003

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Syllabi: none
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  • 4 Credits Stdnt Opt

  •  5701MATH 1110  LEC 004

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Syllabi: none
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  • 4 Credits Stdnt Opt

  •  5702MATH 1110  LEC 005

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Syllabi: none
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  • 4 Credits Stdnt Opt

  •  5703MATH 1110  LEC 006

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Syllabi: none
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  • 4 Credits Stdnt Opt

  •  6838MATH 1110  LEC 007

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Syllabi: none
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  • 4 Credits Stdnt Opt

  •  5704MATH 1110  LEC 008

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Syllabi: none
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  • 4 Credits Stdnt Opt

  •  5705MATH 1110  LEC 009

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5706MATH 1110  LEC 010

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5707MATH 1110  LEC 011

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Syllabi: none
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  • 4 Credits Stdnt Opt

  • 16581MATH 1110  LEC 012

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Syllabi: none
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  • 4 Credits Stdnt Opt

  •  5708MATH 1110  LEC 013

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Syllabi: none
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  • 4 Credits Stdnt Opt

  •  5709MATH 1110  LEC 014

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5710MATH 1110  LEC 015

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5711MATH 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

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  • 4 Credits Stdnt Opt

  •  5712MATH 1120  LEC 001

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5713MATH 1120  LEC 002

Enrollment Information
Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5714MATH 1120  LEC 003

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5715MATH 1120  LEC 004

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5716MATH 1120  LEC 005

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5717MATH 1120  LEC 006

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5718MATH 1120  LEC 007

Enrollment Information
Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  9695MATH 1120  LEC 008

MATH 1220

Topics include differentiation and integration of elementary transcendental functions, techniques of integration, applications, polar coordinates, infinite series, and complex numbers, as well ... view course details

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Syllabi: none
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5719MATH 1220  LEC 001

  •  5720MATH 1220  DIS 201

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

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Syllabi: none
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  • 3 Credits Stdnt Opt

  •  8017MATH 1300  LEC 001

  • Arts & Sciences students may pre-enroll in MATH 1300 through Student Center up to a limit of 30 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

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Syllabi: none
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5721MATH 1710  LEC 001

  •  5722MATH 1710  DIS 201

  •  5723MATH 1710  DIS 202

  •  5724MATH 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

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Syllabi: none
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5725MATH 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.

  •  5727MATH 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.

  •  5728MATH 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.

  • 16279MATH 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.

  •  5726MATH 1910  DIS 201

  •  8145MATH 1910  DIS 202

  •  5729MATH 1910  DIS 203

  •  5730MATH 1910  DIS 204

  •  5732MATH 1910  DIS 206

  •  5733MATH 1910  DIS 207

  •  5735MATH 1910  DIS 209

  •  5736MATH 1910  DIS 210

  •  5737MATH 1910  DIS 211

  •  5738MATH 1910  DIS 212

  •  9881MATH 1910  DIS 213

  •  9882MATH 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

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Syllabi: none
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5739MATH 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.

  •  5741MATH 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.

  •  5743MATH 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.

  •  5745MATH 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.

  •  5740MATH 1920  DIS 201

  •  5742MATH 1920  DIS 202

  •  5744MATH 1920  DIS 203

  •  5746MATH 1920  DIS 204

  •  5747MATH 1920  DIS 205

  •  5748MATH 1920  DIS 206

  •  5749MATH 1920  DIS 207

  • 17359MATH 1920  DIS 208

  •  5750MATH 1920  DIS 209

  •  5751MATH 1920  DIS 210

  •  5752MATH 1920  DIS 211

  • 17360MATH 1920  DIS 212

  •  5753MATH 1920  DIS 213

  •  5754MATH 1920  DIS 214

  •  7381MATH 1920  DIS 215

  •  7382MATH 1920  DIS 216

  •  7670MATH 1920  DIS 217

  •  7922MATH 1920  DIS 219

  •  8813MATH 1920  DIS 221

  •  8814MATH 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

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Syllabi: none
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5755MATH 2210  LEC 001

  •  5757MATH 2210  LEC 002

  •  5759MATH 2210  LEC 003

  •  5761MATH 2210  LEC 004

  •  5756MATH 2210  DIS 201

  •  5758MATH 2210  DIS 202

  •  5760MATH 2210  DIS 203

  •  5762MATH 2210  DIS 204

  •  5763MATH 2210  DIS 205

  •  7380MATH 2210  DIS 206

  •  8441MATH 2210  DIS 207

  •  8442MATH 2210  DIS 208

  •  8443MATH 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

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Syllabi: none
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5764MATH 2220  LEC 001

  •  5765MATH 2220  DIS 201

  •  5766MATH 2220  DIS 202

  •  7732MATH 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

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Syllabi: none
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5767MATH 2230  LEC 001

  •  5768MATH 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

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Syllabi: none
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5769MATH 2310  LEC 001

  •  8448MATH 2310  DIS 201

  •  8449MATH 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

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Syllabi: none
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5770MATH 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.

  •  5771MATH 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.

  •  5772MATH 2930  DIS 201

  •  5773MATH 2930  DIS 202

  •  5774MATH 2930  DIS 203

  •  5776MATH 2930  DIS 205

  •  5777MATH 2930  DIS 206

  •  5779MATH 2930  DIS 208

  •  5781MATH 2930  DIS 210

  •  5782MATH 2930  DIS 211

  •  5783MATH 2930  DIS 212

  •  5784MATH 2930  DIS 213

  •  5785MATH 2930  DIS 214

  •  5786MATH 2930  DIS 215

  • 18576MATH 2930  DIS 216

  • 18577MATH 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

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Syllabi: none
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5787MATH 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.

  •  5788MATH 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.

  •  5789MATH 2940  DIS 201

  •  5790MATH 2940  DIS 202

  •  5791MATH 2940  DIS 203

  •  5792MATH 2940  DIS 204

  •  5793MATH 2940  DIS 205

  •  5794MATH 2940  DIS 206

  •  5795MATH 2940  DIS 207

  •  5796MATH 2940  DIS 208

  •  5797MATH 2940  DIS 209

  •  5798MATH 2940  DIS 210

  •  5799MATH 2940  DIS 211

  •  5800MATH 2940  DIS 212

  •  5801MATH 2940  DIS 213

  •  5802MATH 2940  DIS 214

  •  5803MATH 2940  DIS 215

  •  9488MATH 2940  DIS 216

  •  9489MATH 2940  DIS 217

  •  9490MATH 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
  •  

  • 4 Credits Stdnt Opt

  •  8447MATH 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

  •  5804MATH 3110  LEC 001

Enrollment Information
Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  8712MATH 3110  LEC 002

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

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5806MATH 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

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  7636MATH 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

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5807MATH 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.

Enrollment Information
Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  8713MATH 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 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

  •  5808MATH 4130  LEC 001

Enrollment Information
Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5809MATH 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

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5810MATH 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

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  8415MATH 4220  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.

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

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Syllabi: none
  •   Combined with: CS 4210

  • 4 Credits Stdnt Opt

  •  5811MATH 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

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5812MATH 4310  LEC 001

MATH 4315

The main focus is on linear algebra, including the study of vector spaces, maps and matrices. Additional topics are tensors, groups and representation theory, and a brief introduction to computational ... view course details

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  • 16219MATH 4315  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

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5813MATH 4330  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

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5814MATH 4530  LEC 001

MATH 4550

Introduction to the theory of n-dimensional convex polytopes and polyhedra and some of its applications, with an in-depth treatment of the case of three dimensions. Discusses both combinatorial properties ... view course details

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  • 17571MATH 4550  LEC 001

MATH 4560

An introduction to the geometric approach to the theory of infinite discrete groups. Topics include group actions, the construction of Cayley graphs, connections to formal language theory, actions on trees, ... view course details

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  • 16220MATH 4560  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

  •  5815MATH 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 4810

First course in mathematical logic providing precise definitions of the language of mathematics and the notion of proof (propositional and predicate logic). The completeness theorem says that we have all ... view course details

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Syllabi: none
  •   Combined with: PHIL 4310

  • 4 Credits Stdnt Opt

  • 16221MATH 4810  LEC 001

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

  • 17673MATH 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
  •  

  • 1-6 Credits Stdnt Opt

  •  5816MATH 4900  IND 601

    • TBA
    • Aguiar, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7164MATH 4900  IND 601A

    • TBA
    • Barbasch, D

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7165MATH 4900  IND 601B

    • TBA
    • Berest, Y

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7166MATH 4900  IND 601C

    • TBA
    • Staff

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7167MATH 4900  IND 601D

    • TBA
    • Cao, X

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7168MATH 4900  IND 601E

    • TBA
    • Connelly, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7169MATH 4900  IND 601F

    • TBA
    • Dennis, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  9957MATH 4900  IND 601H

    • TBA
    • Halpern-Leistner, D

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7170MATH 4900  IND 601I

    • TBA
    • Healey, T

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7171MATH 4900  IND 601J

    • TBA
    • Holm, T

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7172MATH 4900  IND 601K

    • TBA
    • Hubbard, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7173MATH 4900  IND 601M

    • TBA
    • Kassabov, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7174MATH 4900  IND 601N

    • TBA
    • Knutson, A

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7175MATH 4900  IND 601O

    • TBA
    • Levine, L

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7176MATH 4900  IND 601P

    • TBA
    • Manning, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7177MATH 4900  IND 601Q

    • TBA
    • Meszaros, K

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7178MATH 4900  IND 601R

    • TBA
    • Moore, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7179MATH 4900  IND 601S

    • TBA
    • Muscalu, F

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7180MATH 4900  IND 601T

    • TBA
    • Nerode, A

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7181MATH 4900  IND 601U

    • TBA
    • Nussbaum, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7182MATH 4900  IND 601V

    • TBA
    • Peeva, I

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7183MATH 4900  IND 601W

    • TBA
    • Ramakrishna, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7184MATH 4900  IND 601X

    • TBA
    • Rand, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7185MATH 4900  IND 601Y

    • TBA
    • Riley, T

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7186MATH 4900  IND 601Z

    • TBA
    • Saloff-Coste, L

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7187MATH 4900  IND 602

    • TBA
    • Sen, S

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7188MATH 4900  IND 602A

    • TBA
    • Shore, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7189MATH 4900  IND 602B

    • TBA
    • Sjamaar, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  9958MATH 4900  IND 602C

    • TBA
    • Solecki, S

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  9959MATH 4900  IND 602D

    • TBA
    • Sosoe, P

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7190MATH 4900  IND 602E

    • TBA
    • Speh, B

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7191MATH 4900  IND 602F

    • TBA
    • Stillman, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7192MATH 4900  IND 602G

    • TBA
    • Strichartz, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7193MATH 4900  IND 602H

    • TBA
    • Strogatz, S

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7194MATH 4900  IND 602I

    • TBA
    • Swartz, E

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7195MATH 4900  IND 602J

    • TBA
    • Templier, N

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7196MATH 4900  IND 602K

    • TBA
    • Townsend, A

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  8838MATH 4900  IND 602L

    • TBA
    • Vladimirsky, A

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7197MATH 4900  IND 602M

    • TBA
    • Wegkamp, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7198MATH 4900  IND 602N

    • TBA
    • West, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7199MATH 4900  IND 602O

    • TBA
    • Zakharevich, I

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7200MATH 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

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Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7547MATH 4901  IND 601

    • TBA
    • Aguiar, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7548MATH 4901  IND 601A

    • TBA
    • Barbasch, D

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7549MATH 4901  IND 601B

    • TBA
    • Berest, Y

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7551MATH 4901  IND 601D

    • TBA
    • Cao, X

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7552MATH 4901  IND 601E

    • TBA
    • Connelly, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7553MATH 4901  IND 601F

    • TBA
    • Dennis, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  9954MATH 4901  IND 601H

    • TBA
    • Halpern-Leistner, D

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7554MATH 4901  IND 601I

    • TBA
    • Healey, T

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7555MATH 4901  IND 601J

    • TBA
    • Holm, T

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7556MATH 4901  IND 601K

    • TBA
    • Hubbard, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7557MATH 4901  IND 601L

    • TBA
    • Hwang, B

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7558MATH 4901  IND 601M

    • TBA
    • Kassabov, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7559MATH 4901  IND 601N

    • TBA
    • Knutson, A

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7560MATH 4901  IND 601O

    • TBA
    • Levine, L

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7561MATH 4901  IND 601P

    • TBA
    • Manning, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7562MATH 4901  IND 601Q

    • TBA
    • Meszaros, K

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7563MATH 4901  IND 601R

    • TBA
    • Moore, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7564MATH 4901  IND 601S

    • TBA
    • Muscalu, F

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7565MATH 4901  IND 601T

    • TBA
    • Nerode, A

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7566MATH 4901  IND 601U

    • TBA
    • Nussbaum, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7567MATH 4901  IND 601V

    • TBA
    • Peeva, I

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7568MATH 4901  IND 601W

    • TBA
    • Ramakrishna, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7569MATH 4901  IND 601X

    • TBA
    • Rand, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7570MATH 4901  IND 601Y

    • TBA
    • Riley, T

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7571MATH 4901  IND 601Z

    • TBA
    • Saloff-Coste, L

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7572MATH 4901  IND 602

    • TBA
    • Sen, S

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7573MATH 4901  IND 602A

    • TBA
    • Shore, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7574MATH 4901  IND 602B

    • TBA
    • Sjamaar, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  9955MATH 4901  IND 602C

    • TBA
    • Solecki, S

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  9956MATH 4901  IND 602D

    • TBA
    • Sosoe, P

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7575MATH 4901  IND 602E

    • TBA
    • Speh, B

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7576MATH 4901  IND 602F

    • TBA
    • Stillman, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7577MATH 4901  IND 602G

    • TBA
    • Strichartz, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7578MATH 4901  IND 602H

    • TBA
    • Strogatz, S

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7579MATH 4901  IND 602I

    • TBA
    • Swartz, E

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7580MATH 4901  IND 602J

    • TBA
    • Templier, N

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7581MATH 4901  IND 602K

    • TBA
    • Townsend, A

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  8839MATH 4901  IND 602L

    • TBA
    • Vladimirsky, A

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7582MATH 4901  IND 602M

    • TBA
    • Wegkamp, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7583MATH 4901  IND 602N

    • TBA
    • West, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7584MATH 4901  IND 602O

    • TBA
    • Zakharevich, I

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7722MATH 4901  IND 602P

    • TBA
    • Zywina, D

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

  •  5819MATH 5080  SEM 101

    • TBA
    • Huntley, M

MATH 6110

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

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  •  

  • 4 Credits Stdnt Opt

  •  5820MATH 6110  LEC 001

MATH 6210

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

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  •  

  • 4 Credits Stdnt Opt

  •  5821MATH 6210  LEC 001

MATH 6260

Topics include existence and uniqueness theorems for ODEs; Poincaré-Bendixon theorem and global properties of two dimensional flows; limit sets, nonwandering sets, chain recurrence, pseudo-orbits and structural ... view course details

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  •  

  • 4 Credits Stdnt Opt

  • 16308MATH 6260  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

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  •  

  • 4 Credits Stdnt Opt

  •  5822MATH 6310  LEC 001

MATH 6340

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

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  •  

  • 4 Credits Stdnt Opt

  •  8416MATH 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

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  •  

  • 4 Credits Stdnt Opt

  •  9480MATH 6390  LEC 001

  • 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 of simple Lie algebras. Prerequisite: an advanced course in linear algebra at the level of MATH 4310 and a course in differentiable manifolds.

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

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  •  

  • 4 Credits Stdnt Opt

  •  5823MATH 6520  LEC 001

MATH 6540

This course is an introduction to some of the fundamentals of homotopy theory. Homotopy theory studies spaces up to homotopy equivalence, not just up to homeomorphism. This allows for a variety of algebraic ... view course details

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  •  

  • 4 Credits Stdnt Opt

  • 16571MATH 6540  LEC 001

  • This course is an introduction to some of the fundamentals of homotopy theory. Homotopy theory studies spaces up to homotopy equivalence, not just up to homeomorphism. This allows for a variety of algebraic techniques which are not available when working up to homeomorphism. This class studies the fundamentals and tools of homotopy theory past homology and cohomology. Topics may include computations of higher homotopy groups, simplicial sets, model categories, spectral sequences, and rational homotopy theory. Prerequisite: MATH 6510 or permission of instructor.

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

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  •  

  • 4 Credits Stdnt Opt

  •  5824MATH 6710  LEC 001

MATH 6740

Focuses on the modern theory of statistical inference, with an emphasis on asymptotic methods. Topics include M-estimation, related exponential inequalities, U-statistic theory as well as nonparametric ... view course details

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  •   Combined with: STSCI 6740

  • 4 Credits Stdnt Opt

  •  8701MATH 6740  LEC 001

MATH 6810

Covers basic topics in mathematical logic, including propositional and predicate calculus; formal number theory and recursive functions; completeness and incompleteness theorems, compactness ... view course details

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  •  

  • 4 Credits Stdnt Opt

  • 16223MATH 6810  LEC 001

MATH 7150

An introduction to (mostly Euclidean) harmonic analysis. Topics usually include convergence of Fourier series, harmonic functions and their conjugates, Hilbert transform, Calderon-Zygmund theory, ... view course details

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Syllabi: none
  •  

  • 4 Credits Sat/Unsat

  • 16224MATH 7150  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

  •  7447MATH 7290  SEM 101

MATH 7310

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

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  •  

  • 4 Credits Sat/Unsat

  • 16225MATH 7310  LEC 001

  • About 25 years ago, Persi Diaconis asked the following question: Is it possible to develop a "K-theory of finite groups using finite generating sequences" in a fashion analogous to what is done in the classical situation? New properties and questions about finite groups that arise from studying various approaches to answering this question will be developed. Natural connections with older work of Tarski, the Neumanns, and others will appear. Many unsolved problems about finite groups, both old and new, appear in a natural way. Diaconis' question seems to have generated many interesting problems and gives an interpretation to how some of the current work in finite group theory might fit into a larger picture. Prerequisites: Basic group theory, e.g., MATH 4340 or MATH 6310.

MATH 7350

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

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  •  

  • 4 Credits Sat/Unsat

  • 16226MATH 7350  LEC 001

  • This course will be a survey of simplicial techniques in algebra and (algebraic/differential) geometry, both old and new. In the first part, we will review some of the classical topics in simplicial homological algebra (the Dold-Kan correspondence, the Eilenberg-Zilber theorem, canonical resolutions, Barr-Beck (co)triple (co)homology). In the second part, we will turn our attention to specific algebraic categories, such as simplicial groups and simplicial (commutative) algebras. (Topics may include the Kan loop group construction and an introduction to the Andre-Quillen homology). The third (main) part of the course will focus on more recent developments: we will try to give a gentle introduction to simplicial categories and DG categories which are the main technical tools in several areas of modern mathematics (derived algebraic geometry, modern representation theory and noncommutaive geometry). Depending on the audience preferences, topics may include a survey of \infinity-categories, simplicial presheaves on manifolds, homotopy theory of DG categories and derived Hall algebras. As for prerequisites, basic knowledge of homological algebra (at the level of MATH 6350), algebraic geometry and algebraic topology (at the level of MATH 6510) will be helpful.

MATH 7410

Selection of advanced topics in combinatorics. Course content varies. view course details

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  •  

  • 4 Credits Sat/Unsat

  • 16227MATH 7410  LEC 001

  • Specific topics will be chosen the first week of the course in consultation with the class. Past topics have ranged from recent uses of Stanley-Reisner theory, including local cohomology, to a simple introduction and applications of discrete Morse theory. Many other topics are possible, including (but not limited to) matroids, hyperplane arrangements, combinatorial aspects of cell complexes and posets, and polytopes. Prerequisites will depend on the specific topics chosen. A minimum of a semester of undergraduate topology, algebra and combinatorics will always be necessary. Frequently additional background will be required.

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

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  •  

  • 4 Credits Sat/Unsat

  •  8018MATH 7510  SEM 101

  • What can we say about (or using) immersions of 1-manifolds into 2-manifolds? Perhaps surprisingly, quite a lot! Specific directions will be negotiated between the instructor and the participants, but may include: (1) The geometry and topology of the curve complex, including applications to understanding the mapping class group of a surface; (2) Gabai's proof of the Simple Loop Conjecture for maps between surfaces, and other forms of the Simple Loop Conjecture; (3) Calegari's work on stable commutator length; (4) Determining minimal intersection and self-intersection of curves on surfaces. Since this is a Berstein seminar, almost all the presentations will be given by the participants. A student who has taken the first year courses in topology and algebra will be well-prepared for this course.

MATH 7550

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

  •  5826MATH 7550  SEM 101

MATH 7710

Selection of advanced topics from probability theory. Content varies. view course details

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  •  

  • 4 Credits Sat/Unsat

  • 16307MATH 7710  LEC 001

  • In this course, several mathematical models of statistical mechanics will be studied, with particular attention given to phase transitions. We will begin by studying percolation and the Ising model, describing the phase transition in both cases, as well as giving qualitative descriptions of the ordered and disordered phases. Time permitting, we will also study further models like the random cluster model.

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

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  •  

  • 4 Credits Stdnt Opt

  •  8812MATH 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

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  •  

  • 4 Credits Sat/Unsat

  •  6383MATH 7810  SEM 101

MATH 7900

Supervised research for the doctoral dissertation. view course details

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  •  

  • 1-6 Credits Stdnt Opt

  •  6308MATH 7900  IND 601

    • TBA
    • Meszaros, K

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  • 18755MATH 7900  IND 602

    • TBA
    • Staff