Course Atlas
Graduate MATH Courses
| MATH512 | Analysis II | Credits: 3 | ||
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| Content: Topics will include: Measure and integration theory on the real line as well as on a general measure space, Bounded linear functionals on L^p spaces. If time permits, Sobolev spaces and Fourier transforms will be introduced. | ||||
| Texts: TBA | ||||
| Assessments: TBA | ||||
| Prerequisites: Students are expected to have the background of Math 411-412 sequence or the equivalent. | ||||
| Section | Location | Meeting Time | Instructor | Enrollment (max) |
| 1 | MSC E406 | MW 10:00AM - 11:15AM | David Borthwick | 15 |
| MATH516 | Numerical Analysis II | Credits: 3 | ||
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| Content: This course covers fundamental concepts of numerical analysis and scientific computing. Material includes numerical methods for curve fitting (interpolation, splines, least squares), differentiation, integration, and differential equations. It is assumed that students have a strong background in numerical linear algebra. | ||||
| Texts: TBA | ||||
| Assessments: TBA | ||||
| Prerequisites: Math 515, undergraduate course work in multivariable calculus and ordinary differential equations. An undergraduate course in numerical analysis would help, but is not absolutely essential. Prerequisites: This is a "hands on" course and students will be required to demonstrate their understanding of the concepts through programming assignments in MATLAB/Octave (help will be given for the novice programmer). | ||||
| Section | Location | Meeting Time | Instructor | Enrollment (max) |
| 1 | MSC E406 | MW 11:30AM - 12:45PM | Alessandro Veneziani | 15 |
| MATH517 | Iterative Methods for Linear Systems | Credits: 3 | ||
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| Content: The aim of this course is to provide a comprehensive coverage of the solution of large-scale sparse linear systems by iterative methods. Because different algorithms are designed for particular linear systems (e.g, symmetric positive definite, symmetric indefinite, unsymmetric, rectangular), it is essential that students have a strong background in numerical linear algebra and matrix analysis. Therefore, a minimum prerequisite for this course is Math 515 (Numerical Linear Algebra). It is recommended that students take Math 561 (Matrix Analysis) and Math 516 (Numerical Analysis) prior to taking Math 517, but it is not required. The topics to be covered in Math 517 include: • Quick review of basic facts from Matrix Analysis and Numerical Linear Algebra. • Stationary iterative methods (e.g., Jacobi, Gauss-Seidel, SOR, SSOR). • Krylov subspace methods (e.g, CG, MINRES, GMRES, LSQR). • Preconditioning techniques (e.g., Incomplete LU and Cholesky). • Multilevel algorithms (e.g., multigrid, Schwarz). • Selected applications. | ||||
| Texts: Iterative Methods for Sparse Linear Systems, 2nd Ed., by Y. Saad, SIAM, 2003. (See also: http://www-users.cs.umn.edu/~saad/IterMethBook_2ndEd.pdf) | ||||
| Assessments: TBA | ||||
| Prerequisites: Math 515 | ||||
| Section | Location | Meeting Time | Instructor | Enrollment (max) |
| 1 | MSC E406 | TuTh 10:00AM - 11:15AM | Yuanzhe Xi | |
| MATH522 | Algebra II | Credits: 3 | ||
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| Content: Continuation of 521. Topics: Modules, especially modules over a principal ideal domain, fields, Galois theory, representation of finite groups, Commutative algebra. | ||||
| Texts: TBA | ||||
| Assessments: TBA | ||||
| Prerequisites: Math 521. | ||||
| Section | Location | Meeting Time | Instructor | Enrollment (max) |
| 1 | MSC E408 | TuTh 1:00PM - 2:15PM | David Zureick-Brown | 15 |
| MATH536 | Combinatorics II | Credits: 3 | ||
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| Content: This course is the second of the sequence of Math 535-536 and as such will continue to develop the topics from the first semester. Specific topics will include finite geometries, Hadermard matrices, Latin Squares, an introduction to design theory, extremal set theory and an introduction to combinatorial coding theory. | ||||
| Texts: TBA | ||||
| Assessments: TBA | ||||
| Prerequisites: TBA | ||||
| Section | Location | Meeting Time | Instructor | Enrollment (max) |
| 1 | MSC E406 | MW 2:30PM - 3:45PM | Hao Huang | 15 |
| MATH543 | Algebraic Topology I | Credits: 3 | ||
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| Content: Homotopy theory, the fundamental group, free products of groups with amalgamation, Van Kampen's Theorem, covering spaces, classification of surfaces, classifying spaces, higher homotopy groups | ||||
| Texts: TBA | ||||
| Assessments: TBA | ||||
| Prerequisites: TBA | ||||
| Section | Location | Meeting Time | Instructor | Enrollment (max) |
| 1 | MSC N302 | TuTh 11:30AM - 12:45PM | David Zureick-Brown | |
| MATH558 | Partial Differential Equations | Credits: 3 | ||
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| Content: This course will introduce some of the basic techniques for studying and solving partial differential equations (PDE's) with special emphasis on applications. Included in the course are the following topics: 1. Basic concepts, sample problems, motivation 2. Maximum principles for elliptic and parabolic equations 3. Basic concepts of the theory of distributions 4. Method of fundamental solutions; Green's functions 5. Fourier transform 6. Variational methods, eigenvalues and eigenfunctions 7. Applications; Maxwell's equations, diffusion, geometric flows, image processing | ||||
| Texts: TBA | ||||
| Assessments: TBA | ||||
| Prerequisites: TBA | ||||
| Section | Location | Meeting Time | Instructor | Enrollment (max) |
| 1 | MSC E406 | TuTh 2:30PM - 3:45PM | Vladimir Oliker | 15 |
| MATH572 | Numerical Partial Differential Equations | Credits: 3 | ||
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| Content: TBA | ||||
| Texts: TBA | ||||
| Assessments: TBA | ||||
| Prerequisites: TBA | ||||
| Section | Location | Meeting Time | Instructor | Enrollment (max) |
| 1 | MSC E406 | MW 4:00PM - 5:15PM | Alessandro Veneziani | 15 |
| MATH577R | Seminar in Combinatorics | Credits: 3 | ||
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| Content: The seminar in combinatorics is a research seminar for students and faculty. It runs weekly, and features speakers from outside Emory who come to talk about topics of interest to the Emory faculty. | ||||
| Texts: TBA | ||||
| Assessments: TBA | ||||
| Prerequisites: TBA | ||||
| Section | Location | Meeting Time | Instructor | Enrollment (max) |
| 1 | MSC E408 | M 4:00PM - 5:00PM | Dwight Duffus | 15 |
| MATH578R | Seminar in Algebra | Credits: 1-9 | ||
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| Content: Research topics in algebra of current interest to faculty and students. | ||||
| Texts: TBA | ||||
| Assessments: TBA | ||||
| Prerequisites: TBA | ||||
| Section | Location | Meeting Time | Instructor | Enrollment (max) |
| 1 | MSC W201 | Tu 4:00PM - 5:00PM | David Zureick-Brown | 25 |
| MATH579R | Seminar in Analysis | Credits: 3 | ||
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| Content: TBA | ||||
| Texts: TBA | ||||
| Assessments: TBA | ||||
| Prerequisites: TBA | ||||
| Section | Location | Meeting Time | Instructor | Enrollment (max) |
| 1 | MSC W301 | F 2:00PM - 2:50PM | Lars Ruthotto | 15 |
| MATH590 | Teaching Seminar | Credits: 3 | ||
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| Content: This seminar will concentrate on effective teaching techniques in mathematics. Topics included will include: General advice for new TA's. General advice for International TA's. Students will present several practice lectures over different levels of material. They will receive practice on quiz and test preparation. Syllabus information on courses most likely to be taught by new TA's will be supplied. General professional development information will also be included. | ||||
| Texts: TBA | ||||
| Assessments: TBA | ||||
| Prerequisites: TBA | ||||
| Section | Location | Meeting Time | Instructor | Enrollment (max) |
| 1 | MSC E406 | F 11:00AM - 12:00PM | Juan Villeta-Garcia Michael Carr |
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| MATH787R | Topics in Combinatorics | Credits: 3 | ||
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| Content: TBA | ||||
| Texts: TBA | ||||
| Assessments: TBA | ||||
| Prerequisites: TBA | ||||
| Section | Location | Meeting Time | Instructor | Enrollment (max) |
| 1 | MSC E406 | TuTh 11:30AM - 12:45PM | Vojtech Rodl | 15 |
| MATH789 | Topics in Analysis | Credits: 3 | ||
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| Content: TBA | ||||
| Texts: TBA | ||||
| Assessments: TBA | ||||
| Prerequisites: TBA | ||||
| Section | Location | Meeting Time | Instructor | Enrollment (max) |
| 1 | MSC E408 | MW 1:00PM - 2:15PM | David Borthwick | 15 |