Course Atlas

Graduate MATH Courses

MATH512 Analysis II Credits: 3
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 TuTh      10:00AM - 11:15AM Shanshuang Yang 18
MATH516 Numerical Analysis II Credits: 3
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 N304 MW      2:30PM - 3:45PM Alessandro Veneziani 18
MATH522 Algebra II Credits: 3
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 MW      11:30AM - 12:45PM Raman Parimala 18
MATH524 Algebraic Geometry II Credits: 3
Content: Algebraic curves, algebraic varieties, sheaves, cohomology, Riemann-Roch theorem. Classification of algebraic surfaces, moduli spaces, deformation theory and, obstruction theory, the notion of schemes.
Texts: TBA
Assessments: TBA
Prerequisites: TBA
Section Location Meeting Time Instructor Enrollment (max)
1 MSC E406 TuTh      11:30AM - 12:45PM Suresh Venapally 18
MATH532 Graph Theory II Credits: 3
Content: TBA
Texts: TBA
Assessments: TBA
Prerequisites: TBA
Section Location Meeting Time Instructor Enrollment (max)
1 MSC E406 TuTh      2:30PM - 3:45PM Andrii Arman 18
MATH546 Intro. to Differential Geometry II Credits: 3
Content: An introduction to Riemannian geometry and global analysis. Topics to be covered: Manifolds, Riemannian metrics, Connections, Curvature; Geodesics, Convexity, Topics in Global Analysis.
Texts: TBA
Assessments: TBA
Prerequisites: TBA
Section Location Meeting Time Instructor Enrollment (max)
1 MSC E406 TuTh      1:00PM - 2:15PM Vladimir Oliker 18
MATH550 Functional Analysis Credits: 3
Content: An introduction to concepts and applications including: metric and normed spaces, Hilbert and Banach spaces, linear operators and functionals, compactness in metric and normed spaces, Fredholm's solvability theory, spectral theory, calculus in metric and normed spaces, selected applications.
Texts: TBA
Assessments: TBA
Prerequisites: Math 511, Math 512.
Section Location Meeting Time Instructor Enrollment (max)
1 MSC E408 MW      10:00AM - 11:15AM David Borthwick 18
MATH577R Seminar in Combinatorics Credits: 3
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 W303 M      4:00PM - 4:50PM Dwight Duffus 40
MATH578R Seminar in Algebra Credits: 1-9
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 W303 Tu      4:00PM - 4:50PM David Zureick-Brown 40
MATH579R Seminar in Analysis Credits: 3
Content: TBA
Texts: TBA
Assessments: TBA
Prerequisites: TBA
Section Location Meeting Time Instructor Enrollment (max)
1 MSC W301 Tu      4:00PM - 4:50PM Vladimir Oliker 40
2 MSC W201 F      2:00PM - 2:50PM Yuanzhe Xi 40
3 MSC N306 Th      2:30PM - 3:45PM Maja Taskovic 40
MATH590 Teaching Seminar Credits: 3
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 E408 F      11:00AM - 11:50AM Bree Ettinger
Juan Villeta-Garcia		 20
MATH789R Topics in Analysis: Numerical Methods for Deep Learning Credits: 3
Content: This course provides students with the mathematical background needed to analyze and further develop numerical methods at the heart of deep learning. The course briefly reviews current trends in machine learning, classification, and in particular deep neural networks. Mathematical techniques covered in this class include numerical optimization, numerical differential equations, optimal control.
Texts: TBA
Assessments: TBA
Prerequisites: In order to succeed in this class, students need to have a solid background in multivariate calculus and linear algebra and some programming experience in MATLAB, Julia, or Python. In addition, students are also expected to have experience or skills in either numerical analysis (optimization, partial differential equations) or machine learning (e.g., CS534, CS584, or similar).
Section Location Meeting Time Instructor Enrollment (max)
1 MSC E406 MW      11:30AM - 12:45PM Lars Ruthotto 8