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. Texts: TBA Assessments: TBA Prerequisites: Students are expected to have the background of Math 411-412 sequence or the equivalent. |

000 | MSC: W302 | MW 10:00am - 11:15am | David Borthwick | max 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. 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). |

000 | MSC: W302 | TuTh 11:30am - 12:45pm | Alessandro Veneziani | |

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. Texts: TBA Assessments: TBA Prerequisites: Math 521. |

000 | MSC: E406 | MW 1:00pm - 2:15pm | Raman Parimala | max 16 |

MATH 532: Graph Theory 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. Texts: TBA Assessments: TBA Prerequisites: Mathematics 531. |

000 | MSC: E408 | MW 11:30am - 12:45pm | Ron Gould | max 16 |

MATH 544: Algebraic Topology II | Credits: 3 | − Description | − Sections |
Content: Singular, simplicial and cellular homology, long exact sequences in homology, Mayer-Vietoris sequences, excision, Euler characteristic, degrees of maps, Borsuk-Ulam theorem, Lefschetz fixed point theorem, cohomology, universal coefficient theorem, the cup product, Poincare duality Texts: TBA Assessments: TBA Prerequisites: TBA |

000 | MSC: E408 | TuTh 11:30am - 12:45pm | David Zureick-Brown | |

MATH 546: Intro. to Differential Geometry II | Credits: 3 | − Description | − Sections |
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 |

000 | MSC: E406 | TuTh 2:30pm - 3:45pm | Vladimir Oliker | max 16 |

MATH 550: Functional Analysis | Credits: 3 | − 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
applications. Texts: Barbara D. MacCluer: "Elementary Functional Analysis",
Graduate Texts in Mathematics, Springer, New York, 2008.
Avner Friedman: "Foundations of Modern Analysis",
Dover, New York, 2002. Assessments: TBA Prerequisites: TBA |

000 | MSC: E406 | TuTh 10:00am - 11:15am | Michele Benzi | |

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. Texts: TBA Assessments: TBA Prerequisites: TBA |

000 | MSC: W306 | M 4:00pm - 4:50pm | Dwight Duffus | max 20 |

MATH 578R: Seminar in Algebra | Credits: 3 | − Description | − Sections |
Content: Research topics in algebra of current interest to faculty and students. Texts: TBA Assessments: TBA Prerequisites: TBA |

000 | MSC: W302 | Tu 4:00pm - 5:00pm | David Zureick-Brown | |

RANT | MSC: W304 | TuTh 2:30pm - 3:45pm | Ken Ono | |

MATH 579R: Seminar in Analysis | Credits: 3 | − Description | − Sections |
Content: Topics include: numerical methods for linear algebra, inverse problems and PDE's Texts: TBA Assessments: TBA Prerequisites: TBA |

000 | MSC: W301 | TuTh 4:00pm - 5:00pm | Vladimir Oliker | max 20 |

001 | MSC: W306 | W 12:50pm - 2:00pm | Alessandro Veneziani | |

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. Texts: TBA Assessments: TBA Prerequisites: TBA |

000 | MSC: W306 | W 2:30pm - 3:20pm | Bree Ettinger | max 25 |

MATH 597R: Directed Study | Credits: 1 - 9 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |

0ONO | MSC: ----- | | Faculty (TBA) | max 999 |

DUFF | MSC: ----- | | Faculty (TBA) | max 999 |

GOUL | MSC: ----- | | Faculty (TBA) | max 999 |

NAGY | MSC: ----- | | Faculty (TBA) | max 999 |

VENE | MSC: ----- | | Faculty (TBA) | max 999 |

YANG | MSC: ----- | | Faculty (TBA) | max 999 |

MATH 787R: Topics in Combinatorics: Hypergraphs II | Credits: 3 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |

000 | MSC: E408 | Th 1:00pm - 2:15pm F 9:00am - 12:00pm | Vojtech Rodl | max 16 |

MATH 788R: Topics in Algebra: Algebraic Geometry II | Credits: 3 | − 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 |

000 | MSC: E406 | M 2:30pm - 3:45pm W 11:30am - 12:45pm | Suresh Venapally | max 16 |

MATH 797R: Directed Study | Credits: 1 - 9 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |

BENZ | MSC: ----- | | Faculty (TBA) | max 999 |

BORT | MSC: ----- | | Faculty (TBA) | max 999 |

GARI | MSC: ----- | | Faculty (TBA) | max 999 |

NAGY | MSC: ----- | | Faculty (TBA) | max 999 |

RAMA | MSC: ----- | | Faculty (TBA) | max 999 |

RODL | MSC: ----- | | Faculty (TBA) | max 999 |

VENE | MSC: ----- | | Faculty (TBA) | max 999 |

YANG | MSC: ----- | | Faculty (TBA) | max 999 |

MATH 799R: Dissertation Research | Credits: 1 - 9 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |

0ONO | MSC: ----- | | Faculty (TBA) | max 999 |

ABRA | MSC: ----- | | Faculty (TBA) | max 999 |

BENZ | MSC: ----- | | Faculty (TBA) | max 999 |

BORT | MSC: ----- | | Faculty (TBA) | max 999 |

GOUL | MSC: ----- | | Faculty (TBA) | max 999 |

HAMI | MSC: ----- | | Faculty (TBA) | max 999 |

NAGY | MSC: ----- | | Faculty (TBA) | max 999 |

OLIK | MSC: ----- | | Faculty (TBA) | max 999 |

RAMA | MSC: ----- | | Faculty (TBA) | max 999 |

RODL | MSC: ----- | | Faculty (TBA) | max 999 |

YANG | MSC: ----- | | Faculty (TBA) | max 999 |