Graduate classes, Spring 2012, Mathematics

MATH 500: ProbabilityCredits: 4− Description− Sections
Content: TBA
Texts: Probability and Random Processes", 3rd edition. Geoffrey R. Grimmett and David R. Stirzaker. ISBN: 978-0-19-857222-0
Assessments: TBA
Prerequisites: TBA
000Callaway S104TuTh 1:00pm - 2:15pmTomasz Luczakmax 16
MATH 512: Analysis IICredits: 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.
000MSC: W306MWF 9:35am - 10:25amDavid Borthwickmax 20
MATH 516: Numerical Analysis IICredits: 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. 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: E406TuTh 10:00am - 11:15amAlessandro Venezianimax 16
MATH 522: Algebra IICredits: 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: TBA
Assessments: TBA
Prerequisites: Math 521.
000MSC: E408TuTh 10:00am - 11:15amEric Brusselmax 16
MATH 532: Graph Theory IICredits: 4− Description− Sections
Content: TBA
Texts: No textbook required.
Assessments: TBA
Prerequisites: TBA
000MSC: E408MWF 12:50pm - 1:40pmRon Gouldmax 16
MATH 544: Algebraic Topology IICredits: 4− Description− Sections
Content: TBA
Texts: Algebraic Topology, Allen Hatcher. Cambridge University Press, 2nd Edition. ISBN: 9780521795401
Assessments: TBA
Prerequisites: TBA
000MSC: E408TuTh 1:00pm - 2:15pmAaron Abramsmax 16
MATH 558: Partial Differential EquationsCredits: 4− Description− Sections
Content: TBA
Texts: TBA
Assessments: TBA
Prerequisites: TBA
000MSC: E406TuTh 11:30am - 12:45pmVladimir Olikermax 16
MATH 577R: Seminar in CombinatoricsCredits: 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
000MSC: W306F 4:00pm - 5:00pmDwight Duffusmax 30
MATH 578R: Seminar in AlgebraCredits: 1 - 12− Description− Sections
Content: Research topics in algebra of current interest to faculty and students.
Texts: TBA
Assessments: TBA
Prerequisites: TBA
000MSC: W306Tu 3:00pm - 4:00pmVictoria Powersmax 16
MATH 579R: Seminar in AnalysisCredits: 4− Description− Sections
Content: Topics include: numerical methods for linear algebra, inverse problems and PDE's
Texts: TBA
Assessments: TBA
Prerequisites: TBA
000MSC: W306W 12:50pm - 1:40pmAlessandro Venezianimax 30
001MSC: W301Tu 4:00pm - 5:00pmVladimir Olikermax 30
MATH 590: Teaching SeminarCredits: 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
000MSC: W306W 2:00pm - 2:50pmShanshuang Yangmax 20
MATH 597R: Directed StudyCredits: 1 - 12− Description− Sections
Content: TBA
Texts: TBA
Assessments: TBA
Prerequisites: TBA
0ONOKen Onomax 999
DUFFMSC: -----Dwight Duffusmax 999
GOULRon Gouldmax 999
NAGYMSC: -----James Nagymax 999
VENEMSC: -----Alessandro Venezianimax 999
YANGMSC: -----Shanshuang Yangmax 999
MATH 787R: Topics in Combinatorics: Extremal Combinatorics and Ramsey TheoryCredits: 4− Description− Sections
Content: TBA
Texts: TBA
Assessments: TBA
Prerequisites: TBA
000MSC: E406TuTh 8:30am - 9:45amVojtech Rodlmax 16
MATH 788R: Topics in Algebra: Algebraic Geometry IICredits: 4− Description− Sections
Content: We will cover the topics: sheaves, schemes, cohomology of sheaves, Serre duality theorems and Riemann-Roch theorem for curves.
Texts: TBA
Assessments: TBA
Prerequisites: TBA
000MSC: E406MWF 10:40am - 11:30amSuresh Venapallymax 16
MATH 789R: Topics in Analysis: Computational Methods for Inverse ProblemsCredits: 4− Description− Sections
Content: This course will cover computational methods used to solve ill-posed inverse problems. Topics to be covered include mathematical properties, regularization techniques, and iterative optimization approaches for large scale problems. The first part of the course will concentrate on numerical linear algebra and numerical optimization methods used for linear problems, and the second part of the course will concentrate on techniques used for nonlinear problems. Applications in image processing, including image denoising, restoration and reconstruction will be used throughout the course to illustrate and test various solution schemes. Students will be expected to do a significant amount of MATLAB programming.
Texts: TBA
Assessments: TBA
Prerequisites: TBA
000MSC: E406TuTh 1:00pm - 2:15pmJames Nagymax 16
MATH 797R: Directed StudyCredits: 1 - 12− Description− Sections
Content: TBA
Texts: TBA
Assessments: TBA
Prerequisites: TBA
BENZMSC: -----Michele Benzimax 999
BORTMSC: -----David Borthwickmax 999
GARIMSC: -----Skip Garibaldimax 999
NAGYMSC: -----James Nagymax 999
RAMARaman Parimalamax 999
RODLMSC: -----Vojtech Rodlmax 999
VENEMSC: -----Alessandro Venezianimax 999
YANGShanshuang Yangmax 999
MATH 799R: Dissertation ResearchCredits: 1 - 12− Description− Sections
Content: TBA
Texts: TBA
Assessments: TBA
Prerequisites: TBA
0ONOMSC: -----Ken Onomax 999
ABRAMSC: -----Aaron Abramsmax 999
BENZMSC: -----Michele Benzimax 999
BORTMSC: -----David Borthwickmax 999
GOULMSC: -----Ron Gouldmax 999
HAMIMSC: -----Emily Hamiltonmax 999
NAGYMSC: -----James Nagymax 999
OLIKMSC: -----Vladimir Olikermax 999
RAMAMSC: -----Raman Parimalamax 999
RODLMSC: -----Vojtech Rodlmax 999
VENEAlessandro Venezianimax 999
YANGMSC: -----Shanshuang Yangmax 999