| MATH 500: Probability | Credits: 4 | − Description | − Sections |
Content: This course will begin the development of fundamental topics in probability theory and its applications in combinatorics and algorithms. Included will be: events and their probabilities, random variables and their distributions, limit theorems, martingales, concentration of probability, random walks and Markov chains. Texts: TBA Assessments: TBA Prerequisites: TBA |
| 000 | MSC: E406 | MWF 11:45am - 12:35pm | Paul Horn | max 16 |
| MATH 512: Analysis II | Credits: 4 | − Description | − Sections |
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. |
| 000 | MSC: W306 | MWF 10:40am - 11:30am | David Borthwick | max 25 |
| MATH 516: Numerical Analysis II | Credits: 4 | − Description | − Sections |
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. |
| 000 | MSC: W302 | TuTh 10:00am - 11:15am | Alessandro Veneziani | max 25 |
| MATH 522: Algebra II | Credits: 4 | − Description | − Sections |
Content: Continuation of 521. Topics: Modules, especially modules over a principal ideal domain, fields, Galois theory, representation of finite groups, Commutative algebra. Texts: A.W. Knapp, "Basic algebra", Birkhauser, 2006. Assessments: TBA Prerequisites: Math 521. |
| 000 | MSC: E408 | TuTh 1:00pm - 2:15pm | Skip Garibaldi | max 16 |
| MATH 532: Graph Theory II | Credits: 4 | − Description | − Sections |
Content: Topics include: independence of vertices and edges (matchings), factorizations and decompositions, coloring (both vertices and edges), and classic external theory. Texts: TBA Assessments: TBA Prerequisites: Mathematics 531. |
| 000 | MSC: E406 | MW 12:50pm - 2:10pm | Ron Gould | max 16 |
| MATH 550: Functional Analysis | Credits: 4 | − Description | − Sections |
Content: An introduction to concepts and applications including: metric and normed spaces. Sobolev spaces, linear operators, and functionals, compactness in metric and normed spaces. Fredholm's solvability theory, spectral theory, calculus in metric and normed spaces, selected application. Texts: TBA Assessments: TBA Prerequisites: TBA |
| 000 | MSC: E408 | TuTh 11:30am - 12:45pm | Michele Benzi | max 16 |
| MATH 558: Partial Differential Equations | Credits: 4 | − Description | − Sections |
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 |
| 000 | MSC: W302 | TuTh 2:30pm - 3:45pm | Vladimir Oliker | max 25 |
| MATH 577R: Seminar in Combinatorics | Credits: 4 | − Description | − Sections |
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 |
| 000 | MSC: W306 | F 4:00pm - 5:00pm | Vojtech Rodl | max 15 |
| MATH 578R: Seminar in Algebra | Credits: 1 - 12 | − Description | − Sections |
Content: Research topics in algebra of current interest to faculty and students. Texts: TBA Assessments: TBA Prerequisites: TBA |
| 000 | MSC: W303 | Tu 4:00pm - 5:00pm | Raman Parimala | max 15 |
| MATH 579R: Seminar in Analysis | Credits: 4 | − Description | − Sections |
Content: Topics include: numerical methods for linear algebra, inverse problems and PDE's Texts: TBA Assessments: TBA Prerequisites: TBA |
| 000 | MSC: W306 | W 12:50pm - 1:40pm | Michele Benzi | max 20 |
| MATH 590: Teaching Seminar | Credits: 4 | − Description | − Sections |
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 |
| 000 | MSC: W306 | W 3:00pm - 3:50pm | Shanshuang Yang | max 20 |
| MATH 597R: Directed Study | Credits: 1 - 12 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |
| 000 | MSC: ----- | | Faculty (TBA) | max 999 |
| MATH 599R: Master's Thesis Research | Credits: 1 - 12 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |
| 000 | MSC: ----- | | Faculty (TBA) | max 999 |
| MATH 787R: Topics in Combinatorics: Probabilistic & Extremal Methods | Credits: 4 | − Description | − Sections |
Content: This course will develop discrete probabilistic aspects of topics begun in Math 535-536. We will discuss deletion method, The second-moment method, Lovasz-Local Lemma and its applications. Large deviation inequalities, Derandomization and The Regularity lemma and its applications. Texts: TBA Assessments: TBA Prerequisites: TBA |
| 000 | MSC: E406 | TuTh 8:30am - 9:45am | Vojtech Rodl | max 16 |
| MATH 797R: Directed Study | Credits: 1 - 12 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |
| 000 | MSC: ----- | | Faculty (TBA) | max 999 |
| MATH 799R: Dissertation Research | Credits: 1 - 12 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |
| 000 | MSC: ----- | | Faculty (TBA) | max 999 |
