Mathematics (MATH)Arts and Sciences

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Course descriptions provided by the Courses of Study 2016-2017. Courses of Study 2017-2018 is scheduled to publish mid-June.

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

  •  8513MATH 1300  LEC 001

    • TR
    • Staff

  • 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

  •  6007MATH 1910  LEC 003

    • MWF
    • Staff

  • 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

  •  9011MATH 1920  LEC 005

    • MWF
    • Staff

  • 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

  •  6052MATH 2930  LEC 002

    • MWF
    • Staff

  • 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

  •  6069MATH 2940  LEC 002

    • MWF
    • Staff

  • 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 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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  • 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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  • 4 Credits Stdnt Opt

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 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 4370

Introduction to Gröbner bases theory, which is the foundation of many algorithms in computational algebra. In this course, students learn how to compute a Gröbner basis for polynomials in many variables. ... view course details

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  • 4 Credits Stdnt Opt

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

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

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 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

  •  6097MATH 4900  IND 601

    • TBA
    • Aguiar, M

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7507MATH 4900  IND 601A

    • TBA
    • Barbasch, D

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7508MATH 4900  IND 601B

    • TBA
    • Berest, Y

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7509MATH 4900  IND 601C

    • TBA
    • Billera, L

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  • 1-6 Credits Stdnt Opt

  •  7510MATH 4900  IND 601D

    • TBA
    • Cao, X

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  • 1-6 Credits Stdnt Opt

  •  7511MATH 4900  IND 601E

    • TBA
    • Connelly, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7512MATH 4900  IND 601F

    • TBA
    • Dennis, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7514MATH 4900  IND 601I

    • TBA
    • Healey, T

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  • 1-6 Credits Stdnt Opt

  •  7515MATH 4900  IND 601J

    • TBA
    • Holm, T

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  • 1-6 Credits Stdnt Opt

  •  7516MATH 4900  IND 601K

    • TBA
    • Hubbard, J

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  • 1-6 Credits Stdnt Opt

  •  7518MATH 4900  IND 601M

    • TBA
    • Kassabov, M

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7519MATH 4900  IND 601N

    • TBA
    • Knutson, A

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7520MATH 4900  IND 601O

    • TBA
    • Levine, L

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  • 1-6 Credits Stdnt Opt

  •  7521MATH 4900  IND 601P

    • TBA
    • Manning, J

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  • 1-6 Credits Stdnt Opt

  •  7522MATH 4900  IND 601Q

    • TBA
    • Meszaros, K

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  • 1-6 Credits Stdnt Opt

  •  7523MATH 4900  IND 601R

    • TBA
    • Moore, J

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  • 1-6 Credits Stdnt Opt

  •  7524MATH 4900  IND 601S

    • TBA
    • Muscalu, F

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  • 1-6 Credits Stdnt Opt

  •  7525MATH 4900  IND 601T

    • TBA
    • Nerode, A

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7526MATH 4900  IND 601U

    • TBA
    • Nussbaum, M

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  • 1-6 Credits Stdnt Opt

  •  7527MATH 4900  IND 601V

    • TBA
    • Peeva, I

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  • 1-6 Credits Stdnt Opt

  •  7528MATH 4900  IND 601W

    • TBA
    • Ramakrishna, R

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  • 1-6 Credits Stdnt Opt

  •  7529MATH 4900  IND 601X

    • TBA
    • Rand, R

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  • 1-6 Credits Stdnt Opt

  •  7530MATH 4900  IND 601Y

    • TBA
    • Riley, T

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  • 1-6 Credits Stdnt Opt

  •  7531MATH 4900  IND 601Z

    • TBA
    • Saloff-Coste, L

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7532MATH 4900  IND 602

    • TBA
    • Sen, S

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7533MATH 4900  IND 602A

    • TBA
    • Shore, R

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  • 1-6 Credits Stdnt Opt

  •  7534MATH 4900  IND 602B

    • TBA
    • Sjamaar, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7535MATH 4900  IND 602E

    • TBA
    • Speh, B

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7536MATH 4900  IND 602F

    • TBA
    • Stillman, M

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7537MATH 4900  IND 602G

    • TBA
    • Strichartz, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7538MATH 4900  IND 602H

    • TBA
    • Strogatz, S

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7539MATH 4900  IND 602I

    • TBA
    • Swartz, E

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7540MATH 4900  IND 602J

    • TBA
    • Templier, N

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7541MATH 4900  IND 602K

    • TBA
    • Townsend, A

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  • 10220MATH 4900  IND 602L

    • TBA
    • Vladimirsky, A

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7542MATH 4900  IND 602M

    • TBA
    • Wegkamp, M

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7543MATH 4900  IND 602N

    • TBA
    • West, J

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7544MATH 4900  IND 602O

    • TBA
    • Zakharevich, I

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7545MATH 4900  IND 602P

    • TBA
    • Zywina, D

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  8806MATH 4900  IND 602Q

    • TBA
    • Staff

  • Enrollment Information

  • 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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  • 1-6 Credits Stdnt Opt

  •  7940MATH 4901  IND 601

    • TBA
    • Aguiar, M

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  • 1-6 Credits Stdnt Opt

  •  7941MATH 4901  IND 601A

    • TBA
    • Barbasch, D

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  • 1-6 Credits Stdnt Opt

  •  7942MATH 4901  IND 601B

    • TBA
    • Berest, Y

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  • 1-6 Credits Stdnt Opt

  •  7943MATH 4901  IND 601C

    • TBA
    • Billera, L

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  • 1-6 Credits Stdnt Opt

  •  7944MATH 4901  IND 601D

    • TBA
    • Cao, X

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  • 1-6 Credits Stdnt Opt

  •  7945MATH 4901  IND 601E

    • TBA
    • Connelly, R

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  • 1-6 Credits Stdnt Opt

  •  7946MATH 4901  IND 601F

    • TBA
    • Dennis, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7948MATH 4901  IND 601I

    • TBA
    • Healey, T

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7949MATH 4901  IND 601J

    • TBA
    • Holm, T

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  • 1-6 Credits Stdnt Opt

  •  7950MATH 4901  IND 601K

    • TBA
    • Hubbard, J

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7951MATH 4901  IND 601L

    • TBA
    • Hwang, B

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7952MATH 4901  IND 601M

    • TBA
    • Kassabov, M

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7953MATH 4901  IND 601N

    • TBA
    • Knutson, A

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7954MATH 4901  IND 601O

    • TBA
    • Levine, L

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7955MATH 4901  IND 601P

    • TBA
    • Manning, J

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7956MATH 4901  IND 601Q

    • TBA
    • Meszaros, K

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7957MATH 4901  IND 601R

    • TBA
    • Moore, J

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7958MATH 4901  IND 601S

    • TBA
    • Muscalu, F

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7959MATH 4901  IND 601T

    • TBA
    • Nerode, A

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7960MATH 4901  IND 601U

    • TBA
    • Nussbaum, M

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7961MATH 4901  IND 601V

    • TBA
    • Peeva, I

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7962MATH 4901  IND 601W

    • TBA
    • Ramakrishna, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7963MATH 4901  IND 601X

    • TBA
    • Rand, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7964MATH 4901  IND 601Y

    • TBA
    • Riley, T

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7965MATH 4901  IND 601Z

    • TBA
    • Saloff-Coste, L

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7966MATH 4901  IND 602

    • TBA
    • Sen, S

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7967MATH 4901  IND 602A

    • TBA
    • Shore, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7968MATH 4901  IND 602B

    • TBA
    • Sjamaar, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7969MATH 4901  IND 602E

    • TBA
    • Speh, B

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7970MATH 4901  IND 602F

    • TBA
    • Stillman, M

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7971MATH 4901  IND 602G

    • TBA
    • Strichartz, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7972MATH 4901  IND 602H

    • TBA
    • Strogatz, S

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7973MATH 4901  IND 602I

    • TBA
    • Swartz, E

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7974MATH 4901  IND 602J

    • TBA
    • Templier, N

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7975MATH 4901  IND 602K

    • TBA
    • Townsend, A

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  • 10221MATH 4901  IND 602L

    • TBA
    • Vladimirsky, A

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7976MATH 4901  IND 602M

    • TBA
    • Wegkamp, M

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7977MATH 4901  IND 602N

    • TBA
    • West, J

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7978MATH 4901  IND 602O

    • TBA
    • Zakharevich, I

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  8144MATH 4901  IND 602P

    • TBA
    • Zywina, D

  • Enrollment Information

  • 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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  • 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 6190

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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  • 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 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 6390

No description available. view course details

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  • 4 Credits Stdnt Opt

  • 17168MATH 6390  LEC 001

    • TR
    • Speh, B

  • Covers the basics of Lie groups and Lie algebras. Topics include real and complex Lie groups, relations between Lie groups and Lie algebras, exponential map, homogeneous manifolds and the classification of simple Lie algebras. Prerequisite: an advanced course in linear algebra at the level of MATH 4310 and a course in differentiable manifolds.

MATH 6520

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

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  • 4 Credits Stdnt Opt

MATH 6530

No description available. view course details

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  • 4 Credits Stdnt Opt

  • 17171MATH 6530  LEC 001

    • MWF
    • Zakharevich, I

  • 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

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  • 4 Credits Stdnt Opt

  • 17199MATH 6640  LEC 001

    • TR
    • Manning, J

  • 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

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  • 4 Credits Stdnt Opt

  • 17172MATH 6670  LEC 001

    • TR
    • Knutson, A

  • 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

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 7110

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

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  • 4 Credits Sat/Unsat

  • 17174MATH 7110  LEC 001

    • TR
    • Healey, T

  • 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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    Combined with: CS 7290

  • 1 Credit 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

  •  8515MATH 7510  SEM 101

    • MWF
    • Kassabov, M

  • 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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  • 4 Credits Sat/Unsat

MATH 7670

Selection of topics from algebraic geometry. 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

  •  6684MATH 7810  SEM 101

    • T
    • Shore, R

    • W

MATH 7840

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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  • 4 Credits Sat/Unsat

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 MATH 7830, MATH 7840, or MATH 7870. view course details

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  • 4 Credits Sat/Unsat

  • 17248MATH 7850  LEC 001

    • MWF
    • Staff

  • 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

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  • 1-6 Credits Stdnt Opt