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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  •  

  • 1 Credit Sat/Unsat

  •  6494MATH 1011  TA 651

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  •  

  • 1 Credit Sat/Unsat

  •  6700MATH 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

  •  6495MATH 1012  TA 651

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  •  

  • 1 Credit Sat/Unsat

  •  6496MATH 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

  • 10159MATH 1021  TA 651

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Syllabi: none
  •  

  • 1 Credit Sat/Unsat

  • 10160MATH 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

  •  7801MATH 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

  •  5974MATH 1105  LEC 001

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  • 3 Credits Stdnt Opt

  • 10146MATH 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

  •  5975MATH 1110  LEC 001

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  • 4 Credits Stdnt Opt

  •  5976MATH 1110  LEC 002

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  • 4 Credits Stdnt Opt

  •  5977MATH 1110  LEC 003

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  • 4 Credits Stdnt Opt

  •  5978MATH 1110  LEC 004

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  • 4 Credits Stdnt Opt

  •  5979MATH 1110  LEC 005

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  • 4 Credits Stdnt Opt

  •  5980MATH 1110  LEC 006

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  • 4 Credits Stdnt Opt

  •  7176MATH 1110  LEC 007

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  • 4 Credits Stdnt Opt

  •  5981MATH 1110  LEC 008

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  • 4 Credits Stdnt Opt

  •  5982MATH 1110  LEC 009

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  • 4 Credits Stdnt Opt

  •  5983MATH 1110  LEC 010

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Syllabi: none
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  • 4 Credits Stdnt Opt

  •  5984MATH 1110  LEC 011

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Syllabi: none
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  • 4 Credits Stdnt Opt

  •  5986MATH 1110  LEC 013

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  • 4 Credits Stdnt Opt

  •  5987MATH 1110  LEC 014

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Syllabi: none
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  • 4 Credits Stdnt Opt

  •  5988MATH 1110  LEC 015

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  • 4 Credits Stdnt Opt

  •  5989MATH 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

  •  5990MATH 1120  LEC 001

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5991MATH 1120  LEC 002

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5992MATH 1120  LEC 003

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5993MATH 1120  LEC 004

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  5994MATH 1120  LEC 005

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  • 4 Credits Stdnt Opt

  •  5995MATH 1120  LEC 006

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  •  

  • 4 Credits Stdnt Opt

  •  5996MATH 1120  LEC 007

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Syllabi: none
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  • 4 Credits Stdnt Opt

  • 17835MATH 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

  •  5998MATH 1220  LEC 001

  •  5999MATH 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

  •  8513MATH 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
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  6000MATH 1710  LEC 001

  •  6001MATH 1710  DIS 201

  •  6002MATH 1710  DIS 202

  •  6003MATH 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

  •  6004MATH 1910  LEC 001

  •  6006MATH 1910  LEC 002

  •  6007MATH 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.

  •  6005MATH 1910  DIS 201

  •  8663MATH 1910  DIS 202

  •  6008MATH 1910  DIS 203

  •  6009MATH 1910  DIS 204

  •  6010MATH 1910  DIS 205

  •  6012MATH 1910  DIS 207

  •  6013MATH 1910  DIS 208

  •  6015MATH 1910  DIS 210

  •  6016MATH 1910  DIS 211

  •  6017MATH 1910  DIS 212

  • 18270MATH 1910  DIS 213

  • 18271MATH 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

  •  6018MATH 1920  LEC 001

  •  6020MATH 1920  LEC 002

  •  6022MATH 1920  LEC 003

  •  6024MATH 1920  LEC 004

  •  9011MATH 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.

  •  6019MATH 1920  DIS 201

  •  6021MATH 1920  DIS 202

  •  6023MATH 1920  DIS 203

  •  6025MATH 1920  DIS 204

  •  6026MATH 1920  DIS 205

  •  6027MATH 1920  DIS 206

  •  6028MATH 1920  DIS 207

  •  6031MATH 1920  DIS 210

  •  6032MATH 1920  DIS 211

  •  6035MATH 1920  DIS 214

  •  7771MATH 1920  DIS 215

  •  7772MATH 1920  DIS 216

  •  8407MATH 1920  DIS 219

  •  8408MATH 1920  DIS 220

  • 10155MATH 1920  DIS 221

  • 10156MATH 1920  DIS 222

  • 10157MATH 1920  DIS 223

  • 10158MATH 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
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  6036MATH 2210  LEC 001

  •  6038MATH 2210  LEC 002

  •  6040MATH 2210  LEC 003

  •  6042MATH 2210  LEC 004

  •  6037MATH 2210  DIS 201

  •  6039MATH 2210  DIS 202

  •  6041MATH 2210  DIS 203

  •  6043MATH 2210  DIS 204

  •  6044MATH 2210  DIS 205

  •  7770MATH 2210  DIS 206

  •  9035MATH 2210  DIS 207

  •  9036MATH 2210  DIS 208

  •  9037MATH 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

  •  6045MATH 2220  LEC 001

  •  6046MATH 2220  DIS 201

  •  6047MATH 2220  DIS 202

  •  8154MATH 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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  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  6048MATH 2230  LEC 001

  •  6049MATH 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: 1 available
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  6050MATH 2310  LEC 001

  •  9042MATH 2310  DIS 201

  •  9043MATH 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: 1 available
  •   Choose one lecture and one discussion. Combined with: PHIL 3310

  • 4 Credits Stdnt Opt

  •  9494MATH 2810  LEC 001

  •  9495MATH 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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  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  6051MATH 2930  LEC 001

  •  6052MATH 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.

  •  6053MATH 2930  DIS 201

  •  6054MATH 2930  DIS 202

  •  6055MATH 2930  DIS 203

  •  6056MATH 2930  DIS 204

  •  6057MATH 2930  DIS 205

  •  6058MATH 2930  DIS 206

  •  6059MATH 2930  DIS 207

  •  6061MATH 2930  DIS 209

  •  6062MATH 2930  DIS 210

  •  6063MATH 2930  DIS 211

  •  6064MATH 2930  DIS 212

  •  6065MATH 2930  DIS 213

  •  6066MATH 2930  DIS 214

  •  6067MATH 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
  •   Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  6068MATH 2940  LEC 001

  •  6069MATH 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.

  •  6070MATH 2940  DIS 201

  •  6071MATH 2940  DIS 202

  •  6072MATH 2940  DIS 203

  •  6073MATH 2940  DIS 204

  •  6074MATH 2940  DIS 205

  •  6075MATH 2940  DIS 206

  •  6076MATH 2940  DIS 207

  •  6079MATH 2940  DIS 210

  •  6080MATH 2940  DIS 211

  •  6081MATH 2940  DIS 212

  •  6082MATH 2940  DIS 213

  •  6083MATH 2940  DIS 214

  •  6084MATH 2940  DIS 215

  • 17182MATH 2940  DIS 216

  • 17183MATH 2940  DIS 217

  • 17184MATH 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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  • 4 Credits Stdnt Opt

  •  9041MATH 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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  • 4 Credits Stdnt Opt

  •  6085MATH 3110  LEC 001

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Syllabi: none
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  • 4 Credits Stdnt Opt

  •  9921MATH 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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  • 4 Credits Stdnt Opt

  •  6087MATH 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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  • 4 Credits Stdnt Opt

  •  8039MATH 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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  • 4 Credits Stdnt Opt

  •  6088MATH 3320  LEC 001

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Syllabi: none
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  • 4 Credits Stdnt Opt

  •  9928MATH 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
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  • 4 Credits Stdnt Opt

  • 16473MATH 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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  • 4 Credits Stdnt Opt

  •  6089MATH 4130  LEC 001

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  • 4 Credits Stdnt Opt

  •  6090MATH 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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  • 4 Credits Stdnt Opt

  •  6091MATH 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
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  • 4 Credits Stdnt Opt

  •  8996MATH 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
  •   Combined with: CS 4210

  • 4 Credits Stdnt Opt

  •  6092MATH 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
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  • 4 Credits Stdnt Opt

  •  6093MATH 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
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  • 4 Credits Stdnt Opt

  •  6094MATH 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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  • 4 Credits Stdnt Opt

  • 16478MATH 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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  • 4 Credits Stdnt Opt

  • 16480MATH 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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  • 4 Credits Stdnt Opt

  • 16481MATH 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
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  • 4 Credits Stdnt Opt

  •  6095MATH 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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  • 4 Credits Stdnt Opt

  •  6096MATH 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
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  • 1-6 Credits Stdnt Opt

  •  6097MATH 4900  IND 601

    • TBA
    • Aguiar, M

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

  •  7507MATH 4900  IND 601A

    • TBA
    • Barbasch, D

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7508MATH 4900  IND 601B

    • TBA
    • Berest, Y

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

  •  7509MATH 4900  IND 601C

    • TBA
    • Billera, L

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

  •  7510MATH 4900  IND 601D

    • TBA
    • Cao, X

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

  •  7511MATH 4900  IND 601E

    • TBA
    • Connelly, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7512MATH 4900  IND 601F

    • TBA
    • Dennis, R

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

  • 18730MATH 4900  IND 601H

    • TBA
    • Halpern-Leistner, D

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7514MATH 4900  IND 601I

    • TBA
    • Healey, T

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

  •  7515MATH 4900  IND 601J

    • TBA
    • Holm, T

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

  •  7516MATH 4900  IND 601K

    • TBA
    • Hubbard, J

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

  •  7518MATH 4900  IND 601M

    • TBA
    • Kassabov, M

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

  •  7519MATH 4900  IND 601N

    • TBA
    • Knutson, A

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

  •  7520MATH 4900  IND 601O

    • TBA
    • Levine, L

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

  •  7521MATH 4900  IND 601P

    • TBA
    • Manning, J

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

  •  7522MATH 4900  IND 601Q

    • TBA
    • Meszaros, K

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

  •  7523MATH 4900  IND 601R

    • TBA
    • Moore, J

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

  •  7524MATH 4900  IND 601S

    • TBA
    • Muscalu, F

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

  •  7525MATH 4900  IND 601T

    • TBA
    • Nerode, A

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7526MATH 4900  IND 601U

    • TBA
    • Nussbaum, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7527MATH 4900  IND 601V

    • TBA
    • Peeva, I

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Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7528MATH 4900  IND 601W

    • TBA
    • Ramakrishna, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7529MATH 4900  IND 601X

    • TBA
    • Rand, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7530MATH 4900  IND 601Y

    • TBA
    • Riley, T

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7531MATH 4900  IND 601Z

    • TBA
    • Saloff-Coste, L

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7532MATH 4900  IND 602

    • TBA
    • Sen, S

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7533MATH 4900  IND 602A

    • TBA
    • Shore, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7534MATH 4900  IND 602B

    • TBA
    • Sjamaar, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  • 18731MATH 4900  IND 602C

    • TBA
    • Solecki, S

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  • 18732MATH 4900  IND 602D

    • TBA
    • Sosoe, P

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7535MATH 4900  IND 602E

    • TBA
    • Speh, B

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7536MATH 4900  IND 602F

    • TBA
    • Stillman, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7537MATH 4900  IND 602G

    • TBA
    • Strichartz, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7538MATH 4900  IND 602H

    • TBA
    • Strogatz, S

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7539MATH 4900  IND 602I

    • TBA
    • Swartz, E

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7540MATH 4900  IND 602J

    • TBA
    • Templier, N

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7541MATH 4900  IND 602K

    • TBA
    • Townsend, A

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  • 10220MATH 4900  IND 602L

    • TBA
    • Vladimirsky, A

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7542MATH 4900  IND 602M

    • TBA
    • Wegkamp, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7543MATH 4900  IND 602N

    • TBA
    • West, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7544MATH 4900  IND 602O

    • TBA
    • Zakharevich, I

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7545MATH 4900  IND 602P

    • TBA
    • Zywina, D

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  8806MATH 4900  IND 602Q

    • TBA
    • Staff

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  8873MATH 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

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Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7940MATH 4901  IND 601

    • TBA
    • Aguiar, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7941MATH 4901  IND 601A

    • TBA
    • Barbasch, D

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7942MATH 4901  IND 601B

    • TBA
    • Berest, Y

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7943MATH 4901  IND 601C

    • TBA
    • Billera, L

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7944MATH 4901  IND 601D

    • TBA
    • Cao, X

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7945MATH 4901  IND 601E

    • TBA
    • Connelly, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7946MATH 4901  IND 601F

    • TBA
    • Dennis, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  • 18726MATH 4901  IND 601H

    • TBA
    • Halpern-Leistner, D

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7948MATH 4901  IND 601I

    • TBA
    • Healey, T

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7949MATH 4901  IND 601J

    • TBA
    • Holm, T

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7950MATH 4901  IND 601K

    • TBA
    • Hubbard, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7951MATH 4901  IND 601L

    • TBA
    • Hwang, B

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7952MATH 4901  IND 601M

    • TBA
    • Kassabov, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7953MATH 4901  IND 601N

    • TBA
    • Knutson, A

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7954MATH 4901  IND 601O

    • TBA
    • Levine, L

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7955MATH 4901  IND 601P

    • TBA
    • Manning, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7956MATH 4901  IND 601Q

    • TBA
    • Meszaros, K

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7957MATH 4901  IND 601R

    • TBA
    • Moore, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7958MATH 4901  IND 601S

    • TBA
    • Muscalu, F

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7959MATH 4901  IND 601T

    • TBA
    • Nerode, A

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7960MATH 4901  IND 601U

    • TBA
    • Nussbaum, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7961MATH 4901  IND 601V

    • TBA
    • Peeva, I

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7962MATH 4901  IND 601W

    • TBA
    • Ramakrishna, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7963MATH 4901  IND 601X

    • TBA
    • Rand, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7964MATH 4901  IND 601Y

    • TBA
    • Riley, T

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7965MATH 4901  IND 601Z

    • TBA
    • Saloff-Coste, L

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7966MATH 4901  IND 602

    • TBA
    • Sen, S

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7967MATH 4901  IND 602A

    • TBA
    • Shore, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7968MATH 4901  IND 602B

    • TBA
    • Sjamaar, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  • 18727MATH 4901  IND 602C

    • TBA
    • Solecki, S

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  • 18728MATH 4901  IND 602D

    • TBA
    • Sosoe, P

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7969MATH 4901  IND 602E

    • TBA
    • Speh, B

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7970MATH 4901  IND 602F

    • TBA
    • Stillman, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7971MATH 4901  IND 602G

    • TBA
    • Strichartz, R

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7972MATH 4901  IND 602H

    • TBA
    • Strogatz, S

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7973MATH 4901  IND 602I

    • TBA
    • Swartz, E

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7974MATH 4901  IND 602J

    • TBA
    • Templier, N

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7975MATH 4901  IND 602K

    • TBA
    • Townsend, A

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  • 10221MATH 4901  IND 602L

    • TBA
    • Vladimirsky, A

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7976MATH 4901  IND 602M

    • TBA
    • Wegkamp, M

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7977MATH 4901  IND 602N

    • TBA
    • West, J

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7978MATH 4901  IND 602O

    • TBA
    • Zakharevich, I

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  8144MATH 4901  IND 602P

    • TBA
    • Zywina, D

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  9223MATH 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
  •  

  • 1-3 Credits Stdnt Opt

  •  6101MATH 5080  SEM 101

    • TBA
    • Huntley, M

MATH 6110

MATH 6110-MATH 6120 are the core analysis courses in the mathematics graduate program. MATH 6110 covers measure and integration and functional analysis. view course details

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  6102MATH 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
  •  

  • 4 Credits Stdnt Opt

  • 16821MATH 6150  LEC 001

MATH 6210

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

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Syllabi: none
  •  

  • 4 Credits Stdnt Opt

  •  6103MATH 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
  •  

  • 4 Credits Stdnt Opt

  •  6104MATH 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
  •  

  • 4 Credits Stdnt Opt

  •  8997MATH 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
  •  

  • 4 Credits Stdnt Opt

  • 17168MATH 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
  •  

  • 4 Credits Stdnt Opt

  •  6105MATH 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
  •  

  • 4 Credits Stdnt Opt

  • 17171MATH 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
  •  

  • 4 Credits Stdnt Opt

  • 17199MATH 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
  •  

  • 4 Credits Stdnt Opt

  • 17172MATH 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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  •  

  • 4 Credits Stdnt Opt

  •  6106MATH 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
  •   Combined with: STSCI 6740

  • 4 Credits Stdnt Opt

  •  9823MATH 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
  •  

  • 4 Credits Stdnt Opt

  • 16822MATH 6840  LEC 001

MATH 7110

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

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Syllabi: none
  •  

  • 4 Credits Sat/Unsat

  • 17174MATH 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
  •   Combined with: CS 7290

  • 1 Credit Sat/Unsat

  •  7837MATH 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
  •  

  • 4 Credits Sat/Unsat

  •  8515MATH 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
  •  

  • 4 Credits Sat/Unsat

  •  6108MATH 7550  SEM 101

MATH 7670

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

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Enrollment Information
Syllabi: none
  •  

  • 4 Credits Sat/Unsat

  • 17175MATH 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
  •  

  • 4 Credits Stdnt Opt

  • 10152MATH 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

  •  6684MATH 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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  •  

  • 4 Credits Sat/Unsat

  • 17248MATH 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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  •  

  • 1-6 Credits Stdnt Opt

  •  6604MATH 7900  IND 601

    • TBA
    • Meszaros, K

Enrollment Information
Syllabi: none
  •  

  • 1-6 Credits Stdnt Opt

  •  7569MATH 7900  IND 602

    • TBA
    • Strichartz, R