Mathematics (MATH)Arts and Sciences

Showing 61 results.

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

MATH 1011

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

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Syllabi: none
  •   Regular Academic Session. 

  • 1 Credit Sat/Unsat

  •  6494 MATH 1011   TA 651

Syllabi: none
  •   Regular Academic Session. 

  • 1 Credit Sat/Unsat

  •  6700 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

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Syllabi: none
  •   Regular Academic Session. 

  • 1 Credit Sat/Unsat

  •  6495 MATH 1012   TA 651

Syllabi: none
  •   Regular Academic Session. 

  • 1 Credit Sat/Unsat

  •  6496 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

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Syllabi: none
  •   Regular Academic Session. 

  • 1 Credit Sat/Unsat

  • 10159 MATH 1021   TA 651

Syllabi: none
  •   Regular Academic Session. 

  • 1 Credit Sat/Unsat

  • 10160 MATH 1021   TA 652

MATH 1101

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

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Syllabi: none
  •   Regular Academic Session. 

  • 1 Credit Graded

  •  7801 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

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Syllabi: none
  •   Regular Academic Session. 

  • 3 Credits Stdnt Opt

  •  5974 MATH 1105   LEC 001

Syllabi: none
  •   Regular Academic Session. 

  • 3 Credits Stdnt Opt

  • 10146 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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5975 MATH 1110   LEC 001

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5976 MATH 1110   LEC 002

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5977 MATH 1110   LEC 003

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5978 MATH 1110   LEC 004

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5979 MATH 1110   LEC 005

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5980 MATH 1110   LEC 006

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  7176 MATH 1110   LEC 007

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5981 MATH 1110   LEC 008

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5982 MATH 1110   LEC 009

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5983 MATH 1110   LEC 010

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5984 MATH 1110   LEC 011

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5986 MATH 1110   LEC 013

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5987 MATH 1110   LEC 014

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5988 MATH 1110   LEC 015

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5989 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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5990 MATH 1120   LEC 001

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5991 MATH 1120   LEC 002

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5992 MATH 1120   LEC 003

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5993 MATH 1120   LEC 004

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5994 MATH 1120   LEC 005

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5995 MATH 1120   LEC 006

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  5996 MATH 1120   LEC 007

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 17835 MATH 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
  •   Regular Academic Session.  Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5998 MATH 1220   LEC 001

  •  5999 MATH 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
  •   Regular Academic Session. 

  • 3 Credits Stdnt Opt

  •  8513 MATH 1300   LEC 001

  • Pre-enrollment in MATH 1300 is restricted to Arts & Sciences students. Any spaces that remain and those that open up due to drops will be made available to all students on a first-come first-served basis during the add/drop period.

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

  • 4 Credits Stdnt Opt

  •  6000 MATH 1710   LEC 001

  •  6001 MATH 1710   DIS 201

  •  6002 MATH 1710   DIS 202

  •  6003 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

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

  • 4 Credits Stdnt Opt

  •  6004 MATH 1910   LEC 001

  •  6006 MATH 1910   LEC 002

  •  6007 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.

  •  6005 MATH 1910   DIS 201

  •  8663 MATH 1910   DIS 202

  •  6008 MATH 1910   DIS 203

  •  6009 MATH 1910   DIS 204

  •  6010 MATH 1910   DIS 205

  •  6011 MATH 1910   DIS 206

  •  6012 MATH 1910   DIS 207

  •  6013 MATH 1910   DIS 208

  •  6014 MATH 1910   DIS 209

  •  6015 MATH 1910   DIS 210

  •  6016 MATH 1910   DIS 211

  •  6017 MATH 1910   DIS 212

  • 18270 MATH 1910   DIS 213

  • 18271 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

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

  • 4 Credits Stdnt Opt

  •  6018 MATH 1920   LEC 001

  •  6020 MATH 1920   LEC 002

  •  6022 MATH 1920   LEC 003

  •  6024 MATH 1920   LEC 004

  •  9011 MATH 1920   LEC 005

  • 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.

  •  6019 MATH 1920   DIS 201

  •  6021 MATH 1920   DIS 202

  •  6023 MATH 1920   DIS 203

  •  6025 MATH 1920   DIS 204

  •  6026 MATH 1920   DIS 205

  •  6027 MATH 1920   DIS 206

  •  6028 MATH 1920   DIS 207

  •  6030 MATH 1920   DIS 209

  •  6031 MATH 1920   DIS 210

  •  6032 MATH 1920   DIS 211

  •  6034 MATH 1920   DIS 213

  •  6035 MATH 1920   DIS 214

  •  7771 MATH 1920   DIS 215

  •  7772 MATH 1920   DIS 216

  •  8087 MATH 1920   DIS 217

  •  8088 MATH 1920   DIS 218

  •  8407 MATH 1920   DIS 219

  •  8408 MATH 1920   DIS 220

  • 10155 MATH 1920   DIS 221

  • 10156 MATH 1920   DIS 222

  • 10157 MATH 1920   DIS 223

  • 10158 MATH 1920   DIS 224

MATH 2210

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

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

  • 4 Credits Stdnt Opt

  •  6036 MATH 2210   LEC 001

  •  6038 MATH 2210   LEC 002

  •  6040 MATH 2210   LEC 003

  •  6042 MATH 2210   LEC 004

  •  6037 MATH 2210   DIS 201

  •  6039 MATH 2210   DIS 202

  •  6041 MATH 2210   DIS 203

  •  6043 MATH 2210   DIS 204

  •  6044 MATH 2210   DIS 205

  •  7770 MATH 2210   DIS 206

  •  9035 MATH 2210   DIS 207

  •  9036 MATH 2210   DIS 208

  •  9037 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

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

  • 4 Credits Stdnt Opt

  •  6045 MATH 2220   LEC 001

  •  6046 MATH 2220   DIS 201

  •  6047 MATH 2220   DIS 202

  •  8154 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

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

  • 4 Credits Stdnt Opt

  •  6048 MATH 2230   LEC 001

  •  6049 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

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

  • 4 Credits Stdnt Opt

  •  6050 MATH 2310   LEC 001

  •  9042 MATH 2310   DIS 201

  •  9043 MATH 2310   DIS 202

MATH 2810

A mathematical study of the formal languages of standard first-order propositional and predicate logic, including their syntax, semantics, and deductive systems. The basic apparatus of model theory will ... view course details

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Syllabi:
  •   Regular Academic Session.  Choose one lecture and one discussion. Combined with: PHIL 3310

  • 4 Credits Stdnt Opt

  •  9494 MATH 2810   LEC 001

  •  9495 MATH 2810   DIS 201

MATH 2930

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

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

  • 4 Credits Stdnt Opt

  •  6051 MATH 2930   LEC 001

  •  6052 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.

  •  6053 MATH 2930   DIS 201

  •  6054 MATH 2930   DIS 202

  •  6055 MATH 2930   DIS 203

  •  6056 MATH 2930   DIS 204

  •  6057 MATH 2930   DIS 205

  •  6058 MATH 2930   DIS 206

  •  6059 MATH 2930   DIS 207

  •  6060 MATH 2930   DIS 208

  •  6061 MATH 2930   DIS 209

  •  6062 MATH 2930   DIS 210

  •  6063 MATH 2930   DIS 211

  •  6064 MATH 2930   DIS 212

  •  6065 MATH 2930   DIS 213

  •  6066 MATH 2930   DIS 214

  •  6067 MATH 2930   DIS 215

MATH 2940

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

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

  • 4 Credits Stdnt Opt

  •  6068 MATH 2940   LEC 001

    • MWF Olin Hall 155
    • Saloff-Coste, L

  •  6069 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.

  •  6070 MATH 2940   DIS 201

  •  6071 MATH 2940   DIS 202

  •  6072 MATH 2940   DIS 203

  •  6073 MATH 2940   DIS 204

  •  6074 MATH 2940   DIS 205

  •  6075 MATH 2940   DIS 206

  •  6076 MATH 2940   DIS 207

  •  6077 MATH 2940   DIS 208

  •  6078 MATH 2940   DIS 209

  •  6079 MATH 2940   DIS 210

  •  6080 MATH 2940   DIS 211

  •  6081 MATH 2940   DIS 212

  •  6082 MATH 2940   DIS 213

  •  6083 MATH 2940   DIS 214

  •  6084 MATH 2940   DIS 215

  • 17182 MATH 2940   DIS 216

  • 17183 MATH 2940   DIS 217

  • 17184 MATH 2940   DIS 218

MATH 3040

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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  9041 MATH 3040   LEC 001

MATH 3110

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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  6085 MATH 3110   LEC 001

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  9921 MATH 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
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  6087 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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  8039 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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  6088 MATH 3320   LEC 001

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  9928 MATH 3320   LEC 002

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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16473 MATH 3610   LEC 001

MATH 4130

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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  6089 MATH 4130   LEC 001

Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  6090 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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  6091 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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  8996 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

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

  • 4 Credits Stdnt Opt

  •  6092 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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  6093 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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  6094 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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16478 MATH 4370   LEC 001

MATH 4420

Continuation of MATH 4410, although formally independent of the material covered there.  The emphasis here is the study of certain combinatorial structures, such as Latin squares and combinatorial designs ... view course details

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16480 MATH 4420   LEC 001

MATH 4520

Introduction to hyperbolic and projective geometry - the classical geometries that developed as Euclidean geometry was better understood. For example, the historical problem of the independence of Euclid's ... view course details

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16481 MATH 4520   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
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  6095 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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  6096 MATH 4710   LEC 001

MATH 4900

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

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Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6097 MATH 4900   IND 601

    • TBA
    • Aguiar, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7507 MATH 4900   IND 601A

    • TBA
    • Barbasch, D

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7508 MATH 4900   IND 601B

    • TBA
    • Berest, Y

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7509 MATH 4900   IND 601C

    • TBA
    • Billera, L

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7510 MATH 4900   IND 601D

    • TBA
    • Cao, X

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7511 MATH 4900   IND 601E

    • TBA
    • Connelly, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7512 MATH 4900   IND 601F

    • TBA
    • Dennis, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  • 18730 MATH 4900   IND 601H

    • TBA
    • Halpern-Leistner, D

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7514 MATH 4900   IND 601I

    • TBA
    • Healey, T

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7515 MATH 4900   IND 601J

    • TBA
    • Holm, T

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7516 MATH 4900   IND 601K

    • TBA
    • Hubbard, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7518 MATH 4900   IND 601M

    • TBA
    • Kassabov, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7519 MATH 4900   IND 601N

    • TBA
    • Knutson, A

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7520 MATH 4900   IND 601O

    • TBA
    • Levine, L

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7521 MATH 4900   IND 601P

    • TBA
    • Manning, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7522 MATH 4900   IND 601Q

    • TBA
    • Meszaros, K

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7523 MATH 4900   IND 601R

    • TBA
    • Moore, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7524 MATH 4900   IND 601S

    • TBA
    • Muscalu, F

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7525 MATH 4900   IND 601T

    • TBA
    • Nerode, A

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7526 MATH 4900   IND 601U

    • TBA
    • Nussbaum, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7527 MATH 4900   IND 601V

    • TBA
    • Peeva, I

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7528 MATH 4900   IND 601W

    • TBA
    • Ramakrishna, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7529 MATH 4900   IND 601X

    • TBA
    • Rand, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7530 MATH 4900   IND 601Y

    • TBA
    • Riley, T

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7531 MATH 4900   IND 601Z

    • TBA
    • Saloff-Coste, L

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7532 MATH 4900   IND 602

    • TBA
    • Sen, S

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7533 MATH 4900   IND 602A

    • TBA
    • Shore, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7534 MATH 4900   IND 602B

    • TBA
    • Sjamaar, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  • 18731 MATH 4900   IND 602C

    • TBA
    • Solecki, S

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  • 18732 MATH 4900   IND 602D

    • TBA
    • Sosoe, P

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7535 MATH 4900   IND 602E

    • TBA
    • Speh, B

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7536 MATH 4900   IND 602F

    • TBA
    • Stillman, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7537 MATH 4900   IND 602G

    • TBA
    • Strichartz, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7538 MATH 4900   IND 602H

    • TBA
    • Strogatz, S

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7539 MATH 4900   IND 602I

    • TBA
    • Swartz, E

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7540 MATH 4900   IND 602J

    • TBA
    • Templier, N

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7541 MATH 4900   IND 602K

    • TBA
    • Townsend, A

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  • 10220 MATH 4900   IND 602L

    • TBA
    • Vladimirsky, A

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7542 MATH 4900   IND 602M

    • TBA
    • Wegkamp, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7543 MATH 4900   IND 602N

    • TBA
    • West, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7544 MATH 4900   IND 602O

    • TBA
    • Zakharevich, I

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7545 MATH 4900   IND 602P

    • TBA
    • Zywina, D

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  8806 MATH 4900   IND 602Q

    • TBA
    • Staff

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  8873 MATH 4900   IND 602R

    • TBA
    • Staff

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

  •  7940 MATH 4901   IND 601

    • TBA
    • Aguiar, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7941 MATH 4901   IND 601A

    • TBA
    • Barbasch, D

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7942 MATH 4901   IND 601B

    • TBA
    • Berest, Y

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7943 MATH 4901   IND 601C

    • TBA
    • Billera, L

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7944 MATH 4901   IND 601D

    • TBA
    • Cao, X

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7945 MATH 4901   IND 601E

    • TBA
    • Connelly, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7946 MATH 4901   IND 601F

    • TBA
    • Dennis, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  • 18726 MATH 4901   IND 601H

    • TBA
    • Halpern-Leistner, D

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7948 MATH 4901   IND 601I

    • TBA
    • Healey, T

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7949 MATH 4901   IND 601J

    • TBA
    • Holm, T

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7950 MATH 4901   IND 601K

    • TBA
    • Hubbard, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7951 MATH 4901   IND 601L

    • TBA
    • Hwang, B

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7952 MATH 4901   IND 601M

    • TBA
    • Kassabov, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7953 MATH 4901   IND 601N

    • TBA
    • Knutson, A

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7954 MATH 4901   IND 601O

    • TBA
    • Levine, L

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7955 MATH 4901   IND 601P

    • TBA
    • Manning, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7956 MATH 4901   IND 601Q

    • TBA
    • Meszaros, K

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7957 MATH 4901   IND 601R

    • TBA
    • Moore, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7958 MATH 4901   IND 601S

    • TBA
    • Muscalu, F

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7959 MATH 4901   IND 601T

    • TBA
    • Nerode, A

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7960 MATH 4901   IND 601U

    • TBA
    • Nussbaum, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7961 MATH 4901   IND 601V

    • TBA
    • Peeva, I

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7962 MATH 4901   IND 601W

    • TBA
    • Ramakrishna, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7963 MATH 4901   IND 601X

    • TBA
    • Rand, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7964 MATH 4901   IND 601Y

    • TBA
    • Riley, T

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7965 MATH 4901   IND 601Z

    • TBA
    • Saloff-Coste, L

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7966 MATH 4901   IND 602

    • TBA
    • Sen, S

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7967 MATH 4901   IND 602A

    • TBA
    • Shore, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7968 MATH 4901   IND 602B

    • TBA
    • Sjamaar, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  • 18727 MATH 4901   IND 602C

    • TBA
    • Solecki, S

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  • 18728 MATH 4901   IND 602D

    • TBA
    • Sosoe, P

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7969 MATH 4901   IND 602E

    • TBA
    • Speh, B

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7970 MATH 4901   IND 602F

    • TBA
    • Stillman, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7971 MATH 4901   IND 602G

    • TBA
    • Strichartz, R

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7972 MATH 4901   IND 602H

    • TBA
    • Strogatz, S

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7973 MATH 4901   IND 602I

    • TBA
    • Swartz, E

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7974 MATH 4901   IND 602J

    • TBA
    • Templier, N

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7975 MATH 4901   IND 602K

    • TBA
    • Townsend, A

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  • 10221 MATH 4901   IND 602L

    • TBA
    • Vladimirsky, A

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7976 MATH 4901   IND 602M

    • TBA
    • Wegkamp, M

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7977 MATH 4901   IND 602N

    • TBA
    • West, J

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7978 MATH 4901   IND 602O

    • TBA
    • Zakharevich, I

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  8144 MATH 4901   IND 602P

    • TBA
    • Zywina, D

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  9223 MATH 4901   IND 602Q

    • TBA
    • Back, 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

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Syllabi: none
  •   Regular Academic Session. 

  • 1-3 Credits Stdnt Opt

  •  6101 MATH 5080   SEM 101

    • TBA
    • Huntley, M

MATH 6110

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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  6102 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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16821 MATH 6150   LEC 001

MATH 6210

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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  6103 MATH 6210   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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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  6104 MATH 6310   LEC 001

MATH 6340

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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  8997 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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 17168 MATH 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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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  6105 MATH 6520   LEC 001

MATH 6530

An introduction to topological K-theory and characteristic classes. Topological K-theory is a generalized cohomology theory which is surprisingly simple and useful for computation while still containing ... view course details

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 17171 MATH 6530   LEC 001

  • An introduction to topological K-theory and characteristic classes. Topological K-theory is a generalized cohomology theory which is surprisingly simple and useful for computation while still containing enough structure for proving interesting results. The class will begin with the definition of K-theory, Chern classes, and the Chern character. Additional topics may include the Hopf invariant 1 problem, the J-homomorphism, Stiefel-Whitney classes and Pontrjagin classes, cobordism groups and the construction of exotic spheres, and the Atiyah-Singer Index Theorem. Prerequisite: MATH 6510, or permission of instructor.

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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 17199 MATH 6640   LEC 001

  • 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. Particular attention will be paid to the cases n=2 and n=3. Hyperbolic structures on surfaces will be parametrized using Teichmüller space, and discrete groups of isometries of hyperbolic space will be discussed. Other possible topics include the topology of hyperbolic manifolds and orbifolds; Mostow rigidity; hyperbolic Dehn filling; deformation theory of Kleinian groups; complex and quaternionic hyperbolic geometry; and convex projective structures on manifolds. Prerequisite: MATH 6510 or permission of instructor.

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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 17172 MATH 6670   LEC 001

  • 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, curves and surfaces, and other choices of the instructor. Prerequisite: MATH 6310 or MATH 6340, or equivalent.

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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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  •  6106 MATH 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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Syllabi: none
  •   Regular Academic Session.  Combined with: STSCI 6740

  • 4 Credits Stdnt Opt

  •  9823 MATH 6740   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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16822 MATH 6840   LEC 001

MATH 7110

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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Sat/Unsat

  • 17174 MATH 7110   LEC 001

  • The topic will be Calculus of Variations. As time permits: The direct method for scalar and vector-valued minimization problems, constraints, existence theorems in nonlinear elasticity, Gamma convergence with applications. We will use books by Evans, Dacorogna, Ciarlet and Attouch et. al., as sources. Prerequisite: MATH 6160 (formerly MATH 6200), or equivalent.

MATH 7290

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

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

  • 1 Credit Sat/Unsat

  •  7837 MATH 7290   SEM 101

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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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Sat/Unsat

  •  8515 MATH 7510   SEM 101

  • This Berstein seminar will cover an introduction to Riemann surfaces and will cover the interplay between analysis and topology. The goal of the course is to explain the main results in the compact case, i.e., Riemann-Roch and Hodge decompositions. The students will be expected to give presentations during the 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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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Sat/Unsat

  •  6108 MATH 7550   SEM 101

MATH 7670

Selection of topics from algebraic geometry. Content varies.   view course details

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Sat/Unsat

  • 17175 MATH 7670   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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 10152 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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Sat/Unsat

  •  6684 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

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Sat/Unsat

  • 17248 MATH 7850   LEC 001

  • The topic will be Dynamics of Large Groups. The course will focus on continuous actions of non-locally compact groups that are equipped with a complete separable topology (Polish groups). This class of groups includes the unitary group of the separable Hilbert space, homeomorphism groups of compact metric spaces, automorphism groups of countable structures, and the group of measure preserving transformations, among others. The emphasis of the course will be on the structure of orbit equivalence relations and on the structure of continuous actions on compact spaces (flows). In addition to the general introduction to the subject, we will cover the following topics: (1) The Kechris-Louveau theorem identifying a fundamental obstacle for an equivalence relation to be an orbit equivalence relation. (2) Effros-type theorems on embedding of the Vitali equivalence relation into orbit equivalence relations. (3) Universal minimal flows.

MATH 7900

Supervised research for the doctoral dissertation. view course details

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Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  6604 MATH 7900   IND 601

    • TBA
    • Meszaros, K

Syllabi: none
  •   Regular Academic Session. 

  • 1-6 Credits Stdnt Opt

  •  7569 MATH 7900   IND 602

    • TBA
    • Strichartz, R