Mathematics (MATH)Arts and Sciences

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

MATH 1006

Reviews material presented in MATH 1106 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

  •  5952MATH 1006  TA 651

  • A&S students receive transcript credit only; cannot be used toward graduation

  • Enrollment Information

  • 1 Credit Sat/Unsat

  •  5953MATH 1006  TA 652

  • A&S students receive transcript credit only; cannot be used toward graduation

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

  •  5950MATH 1011  TA 651

  • A&S students receive transcript credit only; cannot be used toward graduation

  • Enrollment Information

  • 1 Credit Sat/Unsat

  •  5951MATH 1011  TA 652

  • A&S students receive transcript credit only; cannot be used toward graduation

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

  •  5948MATH 1012  TA 651

  • A&S students receive transcript credit only; cannot be used toward graduation

  • Enrollment Information

  • 1 Credit Sat/Unsat

  •  5949MATH 1012  TA 652

  • A&S students receive transcript credit only; cannot be used toward graduation

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 1106

Introduction to differential and integral calculus, partial derivatives, elementary differential equations. Examples from biology and the social sciences are used. view course details

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    Choose one lecture and one discussion.

  • 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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  • 4 Credits Stdnt Opt

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  • 4 Credits Stdnt Opt

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  • 4 Credits Stdnt Opt

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  • 4 Credits Stdnt Opt

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  • 4 Credits Stdnt Opt

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  • 4 Credits Stdnt Opt

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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  • 4 Credits Stdnt Opt

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  • 4 Credits Stdnt Opt

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  • 4 Credits Stdnt Opt

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  • 4 Credits Stdnt Opt

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  • 4 Credits Stdnt Opt

MATH 1340

We apply mathematical reasoning to some problems arising in the social sciences. We discuss game theory and its applications to political and historical conflicts. Power indices are introduced and used ... view course details

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  • 3 Credits Stdnt Opt

  •  5960MATH 1340  LEC 001

  • Pre-enrollment 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 first-come first-served basis during add/drop.

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  • 3 Credits Stdnt Opt

  •  7717MATH 1340  LEC 002

  • Pre-enrollment 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 first-come first-served basis during add/drop.

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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    Choose one lecture and one discussion.

  • 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

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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    Choose one lecture and one discussion.

  • 4 Credits Stdnt Opt

  •  5946MATH 1920  LEC 002

  • Co-enrollment in a one-credit Academic Excellence Workshop (ENGRG 1092) is an option for engineering students who wish to enhance their understanding of the course material.

MATH 2130

Topics include vectors and vector-valued functions; multivariable and vector calculus including multiple and line integrals; first- and second-order differential equations with applications; systems of ... view course details

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  • 4 Credits Stdnt Opt

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 2240

Topics include vector fields; line integrals; differential forms and exterior derivative; work, flux, and density forms; integration of forms over parametrized domains; and Green's, Stokes', and divergence ... 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 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

  •  5987MATH 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

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 3340

An introduction to structures of abstract algebra, including groups, rings, fields, factorization of polynomials and integers, congruences, and the structure of finite abelian groups. Additional topics ... view course details

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  • 4 Credits Stdnt Opt

MATH 3360

Introduction to the concepts and methods of abstract algebra and number theory that are of interest in applications. Covers the basic theory of groups, rings and fields and their applications to such areas ... view course details

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  • 4 Credits Stdnt Opt

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  • 4 Credits Stdnt Opt

MATH 3620

Introductory survey of the development, computer implementation, and applications of dynamic models in biology and ecology. Case-study format covering a broad range of current application areas such as ... view course details

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    Choose one lecture and one laboratory. Combined with: BIOEE 3620

  • 4 Credits Stdnt Opt

MATH 3840

This will be a course on the set theory of Zermelo and Fraenkel: the basic concepts, set-theoretic construction of the Natural, Integral, Rational and Real Numbers, cardinality, and, time permitting, the ... view course details

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    Choose one lecture. Discussion optional. Combined with: PHIL 3300

  • 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

MATH 4140

Proof-based introduction to further topics in analysis. Topics may include the Lebesgue measure and integration, functions of several variables, differential calculus, implicit function theorem, infinite ... view course details

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  • 4 Credits Stdnt Opt

MATH 4180

Theoretical and rigorous introduction to complex variable theory. Topics include complex numbers, differential and integral calculus for functions of a complex variable including Cauchy's theorem and the ... view course details

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  • 4 Credits Stdnt Opt

MATH 4210

Introduction to nonlinear dynamics, with applications to physics, engineering, biology, and chemistry. Emphasizes analytical methods, concrete examples, and geometric thinking. Topics include one-dimensional ... view course details

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    Combined with: MAE 5790

  • 4 Credits Stdnt Opt

MATH 4260

Introduction to the fundamentals of numerical linear algebra: direct and iterative methods for linear systems, eigenvalue problems, singular value decomposition. In the second half of the course, the above ... view course details

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    Combined with: CS 4220

  • 4 Credits Stdnt Opt

MATH 4280

Topics are selected from first-order quasilinear equations, classification of second-order equations, with emphasis on maximum principles, existence, uniqueness, stability, Fourier series methods, approximation ... view course details

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  • 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 4340

Honors version of a course in abstract algebra, which treats the subject from an abstract and axiomatic viewpoint, including universal mapping properties. Topics include groups, groups acting on sets, ... view course details

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  • 4 Credits Stdnt Opt

MATH 4500

An introduction to a topic that is central to mathematics and important in physics and engineering. The objects of study are certain classes of matrices, such as orthogonal, unitary, or symplectic matrices. ... view course details

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  • 4 Credits Stdnt Opt

MATH 4540

Differential geometry involves using calculus to study geometric concepts such as curvature and geodesics. This introductory course focuses on the differential geometry of curves and surfaces. It may also ... view course details

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  • 4 Credits Stdnt Opt

MATH 4720

Statistics have proved to be an important research tool in nearly all of the physical, biological, and social sciences. This course serves as an introduction to statistics for students who already have ... view course details

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  • 4 Credits Stdnt Opt

MATH 4740

A one-semester introduction to stochastic processes which develops the theory together with applications. The course will always cover Markov chains in discrete and continuous time and Poisson processes. ... 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

  •  6007MATH 4900  IND 601

    • TBA
    • Aguiar, M

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7209MATH 4900  IND 602

    • TBA
    • Sen, S

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7184MATH 4900  IND 601A

    • TBA
    • Barbasch, D

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7185MATH 4900  IND 601B

    • TBA
    • Berest, Y

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7186MATH 4900  IND 601C

    • TBA
    • Billera, L

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7187MATH 4900  IND 601D

    • TBA
    • Cao, X

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7188MATH 4900  IND 601E

    • TBA
    • Connelly, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7189MATH 4900  IND 601F

    • TBA
    • Dennis, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7190MATH 4900  IND 601G

    • TBA
    • Guckenheimer, J

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7191MATH 4900  IND 601I

    • TBA
    • Healey, T

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7192MATH 4900  IND 601J

    • TBA
    • Holm, T

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7193MATH 4900  IND 601K

    • TBA
    • Hubbard, J

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7194MATH 4900  IND 601L

    • TBA
    • Iliachenko, I

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7195MATH 4900  IND 601M

    • TBA
    • Kassabov, M

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7196MATH 4900  IND 601N

    • TBA
    • Knutson, A

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7197MATH 4900  IND 601O

    • TBA
    • Levine, L

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7198MATH 4900  IND 601P

    • TBA
    • Manning, J

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7199MATH 4900  IND 601Q

    • TBA
    • Meszaros, K

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7200MATH 4900  IND 601R

    • TBA
    • Moore, J

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7201MATH 4900  IND 601S

    • TBA
    • Muscalu, F

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7202MATH 4900  IND 601T

    • TBA
    • Nerode, A

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7203MATH 4900  IND 601U

    • TBA
    • Nussbaum, M

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7204MATH 4900  IND 601V

    • TBA
    • Peeva, I

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7205MATH 4900  IND 601W

    • TBA
    • Ramakrishna, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7206MATH 4900  IND 601X

    • TBA
    • Rand, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7207MATH 4900  IND 601Y

    • TBA
    • Riley, T

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7208MATH 4900  IND 601Z

    • TBA
    • Saloff-Coste, L

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7210MATH 4900  IND 602A

    • TBA
    • Shore, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7211MATH 4900  IND 602B

    • TBA
    • Sjamaar, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7212MATH 4900  IND 602D

    • TBA
    • Gomez, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7213MATH 4900  IND 602E

    • TBA
    • Speh, B

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7214MATH 4900  IND 602F

    • TBA
    • Stillman, M

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7215MATH 4900  IND 602G

    • TBA
    • Strichartz, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7216MATH 4900  IND 602H

    • TBA
    • Strogatz, S

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7217MATH 4900  IND 602I

    • TBA
    • Swartz, E

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7218MATH 4900  IND 602J

    • TBA
    • Templier, N

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7219MATH 4900  IND 602K

    • TBA
    • Vladimirsky, A

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7220MATH 4900  IND 602L

    • TBA
    • Shokrieh, F

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7221MATH 4900  IND 602M

    • TBA
    • Wegkamp, M

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7222MATH 4900  IND 602N

    • TBA
    • West, J

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7223MATH 4900  IND 602O

    • TBA
    • Zywina, D

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  • 10144MATH 4900  IND 602P

    • TBA
    • Roberts, A

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

  •  7743MATH 4901  IND 601

    • TBA
    • Aguiar, M

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7744MATH 4901  IND 602

    • TBA
    • Barbasch, D

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7745MATH 4901  IND 603

    • TBA
    • Berest, Y

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7746MATH 4901  IND 604

    • TBA
    • Billera, L

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7747MATH 4901  IND 605

    • TBA
    • Cao, X

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7748MATH 4901  IND 606

    • TBA
    • Connelly, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7749MATH 4901  IND 607

    • TBA
    • Dennis, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7750MATH 4901  IND 608

    • TBA
    • Guckenheimer, J

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7751MATH 4901  IND 610

    • TBA
    • Healey, T

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7752MATH 4901  IND 611

    • TBA
    • Holm, T

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7753MATH 4901  IND 612

    • TBA
    • Hubbard, J

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7754MATH 4901  IND 613

    • TBA
    • Iliachenko, I

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7755MATH 4901  IND 614

    • TBA
    • Kassabov, M

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7756MATH 4901  IND 615

    • TBA
    • Knutson, A

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7757MATH 4901  IND 616

    • TBA
    • Levine, L

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7758MATH 4901  IND 617

    • TBA
    • Manning, J

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7759MATH 4901  IND 618

    • TBA
    • Meszaros, K

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7760MATH 4901  IND 619

    • TBA
    • Moore, J

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7761MATH 4901  IND 620

    • TBA
    • Muscalu, F

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7762MATH 4901  IND 621

    • TBA
    • Nerode, A

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7763MATH 4901  IND 622

    • TBA
    • Nussbaum, M

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7764MATH 4901  IND 623

    • TBA
    • Peeva, I

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7765MATH 4901  IND 624

    • TBA
    • Ramakrishna, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7766MATH 4901  IND 625

    • TBA
    • Rand, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7767MATH 4901  IND 626

    • TBA
    • Riley, T

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7768MATH 4901  IND 627

    • TBA
    • Saloff-Coste, L

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7769MATH 4901  IND 628

    • TBA
    • Sen, S

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7770MATH 4901  IND 629

    • TBA
    • Shore, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7771MATH 4901  IND 630

    • TBA
    • Sjamaar, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7772MATH 4901  IND 633

    • TBA
    • Speh, B

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7773MATH 4901  IND 634

    • TBA
    • Stillman, M

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7774MATH 4901  IND 635

    • TBA
    • Strichartz, R

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7775MATH 4901  IND 636

    • TBA
    • Strogatz, S

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7776MATH 4901  IND 637

    • TBA
    • Swartz, E

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7777MATH 4901  IND 638

    • TBA
    • Templier, N

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7778MATH 4901  IND 639

    • TBA
    • Vladimirsky, A

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7779MATH 4901  IND 641

    • TBA
    • Wegkamp, M

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7780MATH 4901  IND 642

    • TBA
    • West, J

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  7781MATH 4901  IND 643

    • TBA
    • Zywina, D

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  •  8897MATH 4901  IND 644

    • TBA
    • Morley, M

  • Enrollment Information

  • 1-6 Credits Stdnt Opt

  • 18624MATH 4901  IND 645

    • TBA
    • Hwang, B

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 6120

MATH 6110-6120 are the core analysis courses in the mathematics graduate program. MATH 6120 covers complex analysis, Fourier analysis, and distribution theory. view course details

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  • 4 Credits Stdnt Opt

MATH 6140

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

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  • 4 Credits Stdnt Opt

MATH 6220

Covers basic theory of Hilbert and Banach spaces and operations on them. Applications. view course details

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  • 4 Credits Stdnt Opt

MATH 6320

MATH 6310-6320 are the core algebra courses in the mathematics graduate program. MATH 6320 covers Galois theory, representation theory of finite groups, and introduction to homological algebra. view course details

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  • 4 Credits Stdnt Opt

MATH 6370

An introduction to number theory focusing on the algebraic theory. Topics include, but are not limited to, number fields, Dedekind domains, class groups, Dirichlet's unit theorem, local fields, ramification, ... view course details

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  • 4 Credits Stdnt Opt

MATH 6510

MATH 6510-MATH 6520 are the core topology courses in the mathematics graduate program. MATH 6510 is an introductory study of certain geometric processes for associating algebraic objects such as groups ... view course details

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  • 4 Credits Stdnt Opt

MATH 6620

Topics include linear connections, Riemannian metrics and parallel translation; covariant differentiation and curvature tensors; the exponential map, the Gauss Lemma and completeness of the metric; isometries ... view course details

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  • 4 Credits Stdnt Opt

MATH 6720

Conditional expectation, martingales, Brownian motion. Other topics such as Markov chains, ergodic theory, and stochastic calculus depending on time and interests of the instructor. view course details

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  • 4 Credits Stdnt Opt

MATH 6730

This course will focus on the finite sample theory of statistical inference, emphasizing estimation, hypothesis testing, and confidence intervals.  Specific topics include: uniformly minimum variance unbiased ... view course details

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    Choose one lecture and one discussion. Combined with: STSCI 6730

  • 4 Credits Stdnt Opt

  •  9904MATH 6730  LEC 001

  • Prerequisites: STSCI 4090/BTRY 4090 (Theory of Statistics), MATH 6710 (measure theoretic probability) or permission of instructor. The Audit option requires permission of the Instructor.

MATH 6810

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

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  • 4 Credits Stdnt Opt

MATH 7120

Selection of advanced topics from analysis. Course content varies. 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 7350

Selection of advanced topics from algebra, algebraic number theory, and algebraic geometry. Course content varies. view course details

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  • 4 Credits Stdnt Opt

MATH 7390

Selection of advanced topics from algebra, algebraic number theory, and algebraic geometry. Content varies. view course details

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  • 4 Credits Sat/Unsat

MATH 7520

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 7560

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 7620

Selection of advanced topics from modern geometry. Content varies. view course details

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  • 4 Credits Sat/Unsat

MATH 7820

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 7870

First course in axiomatic set theory at the level of the book by Kunen. 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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