# Graduate classes, Spring 2015, Mathematics

 MATH 512: Analysis II Credits: 3 − 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.
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Assessments: TBA
Prerequisites: Students are expected to have the background of Math 411-412 sequence or the equivalent.
000MSC: W303MW 8:30am - 9:45amDavid Borthwickmax 16
 MATH 516: Numerical Analysis II Credits: 3 − 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.
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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).
000MSC: W302TuTh 10:00am - 11:15amLars Ruthottomax 29
 MATH 522: Algebra II Credits: 3 − Description − Sections
Content: Continuation of 521. Topics: Modules, especially modules over a principal ideal domain, fields, Galois theory, representation of finite groups, Commutative algebra.
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Assessments: TBA
Prerequisites: Math 521.
000MSC: E406MW 10:00am - 11:15amRaman Parimalamax 16
 MATH 536: Combinatorics II Credits: 3 − Description − Sections
Content: Topics include: independence of vertices and edges (matchings), factorizations and decompositions, coloring (both vertices and edges), and classic external theory.
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Prerequisites: Mathematics 531.
000MSC: E406MW 1:00pm - 2:15pmRon Gouldmax 16
 MATH 558: Partial Differential Equations Credits: 3 − 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
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000MSC: E406TuTh 1:00pm - 2:15pmVladimir Olikermax 16
 MATH 577R: Seminar in Combinatorics Credits: 3 − 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.
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000MSC: W302M 4:00pm - 4:50pmDwight Duffusmax 30
 MATH 578R: Seminar in Algebra Credits: 3 − Description − Sections
Content: Research topics in algebra of current interest to faculty and students.
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000MSC: W304Tu 4:00pm - 4:50pmDavid Zureick-Brownmax 20
 MATH 579R: Seminar in Analysis Credits: 3 − Description − Sections
Content: Topics include: numerical methods for linear algebra, inverse problems and PDE's
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000MSC: W306W 12:00pm - 12:50pmAlessandro Venezianimax 30
001MSC: W306Tu 4:00pm - 4:50pmVladimir Olikermax 30
 MATH 590: Teaching Seminar Credits: 3 − 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.
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000MSC: E406W 2:30pm - 3:20pmBree Ettingermax 15
 MATH 597R: Directed Study Credits: 1 - 9 − Description − Sections
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BENZ Michele Benzimax 999
GOUL Ron Gouldmax 999
ONO Ken Onomax 999
RAMA Raman Parimalamax 999
RUTH Lars Ruthottomax 999
ZURE David Zureick-Brownmax 999
 MATH 599R: Master's Thesis Research Credits: 1 - 9 − Description − Sections
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00P-Faculty (TBA)
 MATH 772: Numerical Partial Differential Equations Credits: 3 − Description − Sections
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000-MSC: W304TuTh 8:30am - 9:45amAlessandro Venezianimax 25
 MATH 797R: Directed Study Credits: 1 - 9 − Description − Sections
Content: TBA
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00P Raman Parimalamax 999
ONO Ken Onomax 999
ZURE David Zureick-Brownmax 999
 MATH 799R: Dissertation Research Credits: 1 - 9 − Description − Sections
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00P Michele Benzimax 999
GOUL Ron Gouldmax 999
ONO Ken Onomax 999
RAMA Raman Parimalamax 999
RODL Vojtech Rodlmax 999
VENA Suresh Venapallymax 999
VENE Alessandro Venezianimax 999
YANG Shanshuang Yangmax 999
ZURE David Zureick-Brownmax 999