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Graduate Courses
Featured Courses  Fall 2019
APMA 900
Asymptotic Analysis of Differential Equations
Dr. Dave Muraki
One aim of this course is to provide an overview of classes of ordinary and partial differential equations (ODEs & PDEs) that are solved by exact methods. Fourier series methods for solving linear DEs are extended to integral solution methods that include the Fourier and Laplace transforms. Investigation of this solution perspective establishes the close connection between complex variable theory and DEs. Read more...
MATH 725
Real Analysis
Dr. Nilima Nigam
This is an unapologetically rigorous course on measure and integration. In Math 320 you learned how uniform convergence is necessary in order to interchange the order of certain limiting processes. Here you will learn analysis without the crutch of uniform convergence. Read more...
MATH 709
Numerical Linear Algebra and Optimization
Dr. Nilima Nigam
The course is aimed at students interested in scientific computing. Along with an introductory numerical analysis course, this is a foundational course. This means that if youâ€™re interested in using mathematical or statistical tools for processing data or simulation, then you will almost surely need tools from numerical linear algebra. Read more...
MATH 742/MATH 846
Cryptography
Dr. Petr Lisonek
Do you want to know how the remote lock for a car works? How are your online banking transactions and email messages protected? Can anyone listen to your cell phone conversations or read your text messages? Then come to MATH 742/846! Read more...
Mathematics 600Level Courses
MATH 6034: Foundations of Mathematics *
MATH 6044: Geometry *
* These courses cannot be taken toward Mathematics MSc or PhD program requirements
Mathematics 700Level Courses
MATH 7013: Computer Algebra
MATH 7083: Discrete Optimization
MATH 7093: Numerical Linear Algebra and Optimization
MATH 7163: Numerical Analysis II
MATH 7183: Partial Differential Equations
MATH 7193: Linear Analysis
MATH 7243: Applications of Complex Analysis
MATH 7253: Real Analysis
MATH 7393: Algebraic Systems
MATH 7403: Galois Theory
MATH 7413: Commutative Algebra and Algebraic Geometry
MATH 7423: Cryptography
MATH 7433: Combinatorial Theory
MATH 7453: Graph Theory
MATH 7473: Coding Theory
MATH 7483: Network Flows
MATH 7613: Continuous Mathematical Models
MATH 7623: Fluid Dynamics
MATH 7673: Dynamical Systems
MATH 7703: Variational Calculus
MATH 7953: Selected Topics in Applied Mathematics
Mathematics 800Level Courses
MATH 8004: Mathematics: Selected Topics
MATH 8084: Advanced Linear Programming
MATH 8174: Groups and Rings
MATH 8184: Algebra and Geometry
MATH 8194: Algebra: Selected Topics
MATH 8204: Graph Theory
MATH 8214: Combinatorics
MATH 8274: Discrete Mathematics: Selected Topics
MATH 8314: Real Analysis I
MATH 8334: Analysis: Selected Topics
MATH 8414: Topology: Selected Topics
MATH 8424: Algebraic Number Theory
MATH 8434: Analytic and Diophantine Number Theory
MATH 8454: Number Theory: Selected Topics
MATH 8464: Cryptography
MATH 8750: PhD Preliminary Examination
> Resources
MATH 8760: PhD Comprehensive Examination
> Resources
MATH 8771: Supplementary Reading
MATH 8790: PhD Thesis Proposal
MATH 8806: MSc Project
MATH 8880: Ph.D. Comprehensive Examination: Operations Research
MATH 8900: Practicum I
MATH 8910: Practicum II
MATH 8942: Reading
MATH 8954: Reading
MATH 8962: Introductory Seminar
MATH 8986: MSc Thesis
MATH 89912: PhD Thesis
Mathematics 900Level Courses: Applied and Computational Mathematics
APMA 9004: Asymptotic Analysis of Differential Equations
APMA 9014: Partial Differential Equations
APMA 9054: Applied Functional Analysis
APMA 9124: Advanced Partial Differential Equations
APMA 9204: Numerical Linear Analysis
APMA 9224: Numerical Solution of Partial Differential Equations
APMA 9234: Numerical Methods in Continuous Optimization
APMA 9294: Selected Topics in Numerical Methods
APMA 9304: Computational Fluid Dynamics
APMA 9344: Selected Topics in Fluid Dynamics
APMA 9354: Analysis and Computation of Models
APMA 9394: Selected Topics in Mathematical Image Processing
APMA 9814: Selected Topics in Continuum Mechanics
APMA 9824: Selected Topics in Mathematical Physics
APMA 9904: Selected Topics in Applied Mathematics
APMA 9950: PhD Oral Candidacy Exam
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