Mathematics (MATH)Arts and Sciences

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Course descriptions provided by the Courses of Study 2016-2017.

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

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  • 1 Credit Sat/Unsat

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

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  • 1 Credit Sat/Unsat

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

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  • 1 Credit Sat/Unsat

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

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

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  • 3 Credits Stdnt Opt

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

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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

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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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  • 4 Credits Stdnt Opt

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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  • 3 Credits Stdnt Opt

  •  8672MATH 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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  • 4 Credits Stdnt Opt

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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  • 4 Credits Stdnt Opt

  •  5989MATH 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.

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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  • 4 Credits Stdnt Opt

  •  9530MATH 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.

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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  • 4 Credits Stdnt Opt

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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  • 4 Credits Stdnt Opt

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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  • 4 Credits Stdnt Opt

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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  • 4 Credits Stdnt Opt

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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    Choose one lecture and one discussion. Combined with: PHIL 3310

  • 4 Credits Stdnt Opt

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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  • 4 Credits Stdnt Opt

  •  6034MATH 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.

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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  • 4 Credits Stdnt Opt

  •  6051MATH 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.

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

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

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  • 4 Credits Stdnt Opt

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

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

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

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  • 4 Credits Stdnt Opt

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

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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

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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  • 4 Credits Stdnt Opt

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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    Combined with: CS 4210

  • 4 Credits Stdnt Opt

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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  • 4 Credits Stdnt Opt

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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  • 4 Credits Stdnt Opt

  • 17362MATH 4315  LEC 001

  • MATH 4315 will provide a wide background of the basic concepts in algebra that will be especially beneficial for students who plan to take only on algebra course at the 4000 level. MATH 4315 and 4310 will both cover the key topics in linear algebra: fields, vector spaces, bases, subspaces, linear transformations (maps), and matrices. After that, MATH 4310 will continue with topics in linear algebra (inner product spaces, quadratic forms, canonical forms for various classes of matrices), whereas MATH 4315 will provide a wide background of the basic concepts in algebra (tensors, groups and representation theory, and a brief introduction to computational algebraic geometry).

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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  • 4 Credits Stdnt Opt

MATH 4410

Combinatorics is the study of discrete structures that arise in a variety of areas, particularly in other areas of mathematics, computer science, and many areas of application. Central concerns are often ... view course details

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  • 4 Credits Stdnt Opt

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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  • 4 Credits Stdnt Opt

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

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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    Combined with: PHIL 4310

  • 4 Credits Stdnt Opt

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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    Combined with: CS 4860

  • 4 Credits Stdnt Opt

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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  • 1-6 Credits Stdnt Opt

  •  6080MATH 4900  IND 601

    • TBA
    • Aguiar, M

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  • 1-6 Credits Stdnt Opt

  •  7523MATH 4900  IND 601A

    • TBA
    • Barbasch, D

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  • 1-6 Credits Stdnt Opt

  •  7524MATH 4900  IND 601B

    • TBA
    • Berest, Y

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  • 1-6 Credits Stdnt Opt

  •  7525MATH 4900  IND 601C

    • TBA
    • Billera, L

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  • 1-6 Credits Stdnt Opt

  •  7526MATH 4900  IND 601D

    • TBA
    • Cao, X

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  • 1-6 Credits Stdnt Opt

  •  7527MATH 4900  IND 601E

    • TBA
    • Connelly, R

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  • 1-6 Credits Stdnt Opt

  •  7528MATH 4900  IND 601F

    • TBA
    • Dennis, R

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  • 1-6 Credits Stdnt Opt

  •  7529MATH 4900  IND 601G

    • TBA
    • Guckenheimer, J

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  • 1-6 Credits Stdnt Opt

  •  7530MATH 4900  IND 601I

    • TBA
    • Healey, T

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  • 1-6 Credits Stdnt Opt

  •  7531MATH 4900  IND 601J

    • TBA
    • Holm, T

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  • 1-6 Credits Stdnt Opt

  •  7532MATH 4900  IND 601K

    • TBA
    • Hubbard, J

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  • 1-6 Credits Stdnt Opt

  •  7533MATH 4900  IND 601L

    • TBA
    • Iliachenko, I

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  • 1-6 Credits Stdnt Opt

  •  7534MATH 4900  IND 601M

    • TBA
    • Kassabov, M

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  • 1-6 Credits Stdnt Opt

  •  7535MATH 4900  IND 601N

    • TBA
    • Knutson, A

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  • 1-6 Credits Stdnt Opt

  •  7536MATH 4900  IND 601O

    • TBA
    • Levine, L

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  • 1-6 Credits Stdnt Opt

  •  7537MATH 4900  IND 601P

    • TBA
    • Manning, J

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  • 1-6 Credits Stdnt Opt

  •  7538MATH 4900  IND 601Q

    • TBA
    • Meszaros, K

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  • 1-6 Credits Stdnt Opt

  •  7539MATH 4900  IND 601R

    • TBA
    • Moore, J

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  • 1-6 Credits Stdnt Opt

  •  7540MATH 4900  IND 601S

    • TBA
    • Muscalu, F

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  • 1-6 Credits Stdnt Opt

  •  7541MATH 4900  IND 601T

    • TBA
    • Nerode, A

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  • 1-6 Credits Stdnt Opt

  •  7542MATH 4900  IND 601U

    • TBA
    • Nussbaum, M

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  • 1-6 Credits Stdnt Opt

  •  7543MATH 4900  IND 601V

    • TBA
    • Peeva, I

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  • 1-6 Credits Stdnt Opt

  •  7544MATH 4900  IND 601W

    • TBA
    • Ramakrishna, R

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  • 1-6 Credits Stdnt Opt

  •  7545MATH 4900  IND 601X

    • TBA
    • Rand, R

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  • 1-6 Credits Stdnt Opt

  •  7546MATH 4900  IND 601Y

    • TBA
    • Riley, T

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  • 1-6 Credits Stdnt Opt

  •  7547MATH 4900  IND 601Z

    • TBA
    • Saloff-Coste, L

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  • 1-6 Credits Stdnt Opt

  •  7548MATH 4900  IND 602

    • TBA
    • Sen, S

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  • 1-6 Credits Stdnt Opt

  •  7549MATH 4900  IND 602A

    • TBA
    • Shore, R

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  • 1-6 Credits Stdnt Opt

  •  7550MATH 4900  IND 602B

    • TBA
    • Sjamaar, R

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  • 1-6 Credits Stdnt Opt

  •  7551MATH 4900  IND 602E

    • TBA
    • Speh, B

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  • 1-6 Credits Stdnt Opt

  •  7552MATH 4900  IND 602F

    • TBA
    • Stillman, M

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  • 1-6 Credits Stdnt Opt

  •  7553MATH 4900  IND 602G

    • TBA
    • Strichartz, R

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  • 1-6 Credits Stdnt Opt

  •  7554MATH 4900  IND 602H

    • TBA
    • Strogatz, S

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  • 1-6 Credits Stdnt Opt

  •  7555MATH 4900  IND 602I

    • TBA
    • Swartz, E

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  • 1-6 Credits Stdnt Opt

  •  7556MATH 4900  IND 602J

    • TBA
    • Templier, N

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  • 1-6 Credits Stdnt Opt

  •  7557MATH 4900  IND 602K

    • TBA
    • Townsend, A

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  • 1-6 Credits Stdnt Opt

  • 18436MATH 4900  IND 602L

    • TBA
    • Vladimirsky, A

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  • 1-6 Credits Stdnt Opt

  •  7558MATH 4900  IND 602M

    • TBA
    • Wegkamp, M

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  • 1-6 Credits Stdnt Opt

  •  7559MATH 4900  IND 602N

    • TBA
    • West, J

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  • 1-6 Credits Stdnt Opt

  •  7560MATH 4900  IND 602O

    • TBA
    • Zakharevich, I

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  • 1-6 Credits Stdnt Opt

  •  7561MATH 4900  IND 602P

    • TBA
    • Zywina, D

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  • 1-6 Credits Stdnt Opt

  •  9013MATH 4900  IND 602Q

    • TBA
    • Staff

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  • 1-6 Credits Stdnt Opt

  •  9092MATH 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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  • 1-6 Credits Stdnt Opt

  •  7982MATH 4901  IND 601

    • TBA
    • Aguiar, M

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  • 1-6 Credits Stdnt Opt

  •  7983MATH 4901  IND 601A

    • TBA
    • Barbasch, D

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  • 1-6 Credits Stdnt Opt

  •  7984MATH 4901  IND 601B

    • TBA
    • Berest, Y

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  • 1-6 Credits Stdnt Opt

  •  7985MATH 4901  IND 601C

    • TBA
    • Billera, L

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  • 1-6 Credits Stdnt Opt

  •  7986MATH 4901  IND 601D

    • TBA
    • Cao, X

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  • 1-6 Credits Stdnt Opt

  •  7987MATH 4901  IND 601E

    • TBA
    • Connelly, R

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  • 1-6 Credits Stdnt Opt

  •  7988MATH 4901  IND 601F

    • TBA
    • Dennis, R

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  • 1-6 Credits Stdnt Opt

  •  7989MATH 4901  IND 601G

    • TBA
    • Guckenheimer, J

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  • 1-6 Credits Stdnt Opt

  •  7990MATH 4901  IND 601I

    • TBA
    • Healey, T

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  • 1-6 Credits Stdnt Opt

  •  7991MATH 4901  IND 601J

    • TBA
    • Holm, T

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  • 1-6 Credits Stdnt Opt

  •  7992MATH 4901  IND 601K

    • TBA
    • Hubbard, J

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  • 1-6 Credits Stdnt Opt

  •  7993MATH 4901  IND 601L

    • TBA
    • Iliachenko, I

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7994MATH 4901  IND 601M

    • TBA
    • Kassabov, M

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  • 1-6 Credits Stdnt Opt

  •  7995MATH 4901  IND 601N

    • TBA
    • Knutson, A

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  • 1-6 Credits Stdnt Opt

  •  7996MATH 4901  IND 601O

    • TBA
    • Levine, L

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  • 1-6 Credits Stdnt Opt

  •  7997MATH 4901  IND 601P

    • TBA
    • Manning, J

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  • 1-6 Credits Stdnt Opt

  •  7998MATH 4901  IND 601Q

    • TBA
    • Meszaros, K

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  • 1-6 Credits Stdnt Opt

  •  7999MATH 4901  IND 601R

    • TBA
    • Moore, J

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  8000MATH 4901  IND 601S

    • TBA
    • Muscalu, F

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  8001MATH 4901  IND 601T

    • TBA
    • Nerode, A

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  8002MATH 4901  IND 601U

    • TBA
    • Nussbaum, M

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  8003MATH 4901  IND 601V

    • TBA
    • Peeva, I

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  • 1-6 Credits Stdnt Opt

  •  8004MATH 4901  IND 601W

    • TBA
    • Ramakrishna, R

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  • 1-6 Credits Stdnt Opt

  •  8005MATH 4901  IND 601X

    • TBA
    • Rand, R

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  • 1-6 Credits Stdnt Opt

  •  8006MATH 4901  IND 601Y

    • TBA
    • Riley, T

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  8007MATH 4901  IND 601Z

    • TBA
    • Saloff-Coste, L

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  8008MATH 4901  IND 602

    • TBA
    • Sen, S

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  8009MATH 4901  IND 602A

    • TBA
    • Shore, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  8010MATH 4901  IND 602B

    • TBA
    • Sjamaar, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  8011MATH 4901  IND 602E

    • TBA
    • Speh, B

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  8012MATH 4901  IND 602F

    • TBA
    • Stillman, M

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  8013MATH 4901  IND 602G

    • TBA
    • Strichartz, R

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  • 1-6 Credits Stdnt Opt

  •  8014MATH 4901  IND 602H

    • TBA
    • Strogatz, S

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  • 1-6 Credits Stdnt Opt

  •  8015MATH 4901  IND 602I

    • TBA
    • Swartz, E

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  • 1-6 Credits Stdnt Opt

  •  8016MATH 4901  IND 602J

    • TBA
    • Templier, N

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  8017MATH 4901  IND 602K

    • TBA
    • Townsend, A

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  • 18437MATH 4901  IND 602L

    • TBA
    • Vladimirsky, A

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  8018MATH 4901  IND 602M

    • TBA
    • Wegkamp, M

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  • 1-6 Credits Stdnt Opt

  •  8019MATH 4901  IND 602N

    • TBA
    • West, J

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  • 1-6 Credits Stdnt Opt

  •  8020MATH 4901  IND 602O

    • TBA
    • Zakharevich, I

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  • 1-6 Credits Stdnt Opt

  •  8216MATH 4901  IND 602P

    • TBA
    • Zywina, D

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  • 1-6 Credits Stdnt Opt

  • 10133MATH 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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  • 1-3 Credits Stdnt Opt

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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  • 4 Credits Stdnt Opt

MATH 6170

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

MATH 6210

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

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  • 4 Credits Stdnt Opt

MATH 6230

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

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  • 4 Credits Stdnt Opt

MATH 6280

Various topics in the dynamics of analytic mappings in one complex variable, such as: Julia and Fatou sets, the Mandelbrot set, Mañé-Sad-Sullivan's theorem on structural stability. Also covers: local theory, ... view course details

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  • 4 Credits Stdnt Opt

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

MATH 6340

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

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  • 4 Credits Stdnt Opt

MATH 6490

Covers the basics of the theory of Lie algebras. Topics include nilpotent and solvable Lie algebras, Lie's and Engel's theorem, semisimple and reductive Lie algebras, universal enveloping algebra, and  ... view course details

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  • 4 Credits Stdnt Opt

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

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

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

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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  • 4 Credits Sat/Unsat

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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    Combined with: CS 7290

  • 1 Credit Sat/Unsat

MATH 7370

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

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  • 4 Credits Sat/Unsat

MATH 7410

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

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  • 4 Credits Sat/Unsat

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

MATH 7530

Continuation of MATH 6510. The standard topics most years are cohomology, cup products, Poincaré duality, and homotopy groups. Other possible topics include fiber bundles, fibrations, vector bundles, and ... view course details

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  • 4 Credits Sat/Unsat

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

MATH 7570

Selection of advanced topics from modern algebraic, differential, and geometric topology. Content varies. view course details

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  • 4 Credits Sat/Unsat

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

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

MATH 7900

Supervised research for the doctoral dissertation. view course details

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  • 1-6 Credits Stdnt Opt

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