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• Ph.D. Program
• Masters Program
• Fast Track Program
• Distance Masters Program
Prospective Students
• Application Information
• Financial Support
• A&M New Student Info
Current Students
• Course Curriculum
• Qualifying Exams
• Forms
• Frequently Asked Questions
Directory
• Our Students
• Recent Graduates
• Contact Us
Other Useful Links
• Academic Calendar
• Office of Graduate Studies
• Graduate Student Catalog
• International Student Services
• Thesis Office
• Graduate Student Organization
Core courses
These courses are offered annually
| Core Courses | ||
|---|---|---|
| Group 1 | Math 653 | Algebra I | Math 654 | Algebra II | Math 627 | Algebraic Number Theory | Math 630 | Combinatorics | Math 613 | Graph Theory |
| Group 2 | Math 607 | Real Variables I | Math 608 | Real Variables II | Math 617 | Theory of Fncts. of a Cmpx. Var. I | Math 618 | Theory of Fncts. of a Cmpx. Var. II |
| Group 3 | Math 636 | Topology I | Math 637 | Topology II | Math 622 | Differential Geometry I | Math 623 | Differential Geometry II |
| Group 4 | Math 609 | Numerical Analysis | Math 610 | Numerical Meth. in PDEs | Math 641 | Analysis for Appl. I | Math 642 | Analysis for Appl. II |
Specialized Courses
Offered Annually
| Specialized Courses | |
|---|---|
| Math 601 | Method of Appl. Math I |
| Math 602 | Method and Appl. of PDEs |
| Math 603 | Method of Appl. Math II |
| Math 604 | Math. Found. of Cont. Mech. |
| Math 611 | Int. Ord. & Partial Diff. Eq.tr> |
| Math 612 | PDEs |
| Math 615 | Intro. to Classical Analysis |
| Math 619 | Applied Probability |
| Math 625 | Appl. Stocahstic Diff. Eqs. |
| Math 626 | Analytical Number Theory |
| Math 627 | Algebraic Number Theory |
| Math 628 | Mathematics of Finance |
| Math 629 | History of Mathematics |
| Math 640 | Linear Alg. for Appl. |
| Math 645 | A Surv. of Math. Probls. I |
| Math 646 | A Surv. of Math. Probls. II |
| Math 647 | Math. Modeling |
| Math 660 | Comp. Lin. Alg. |
Specialized Courses
Offered Bi-Annually (Once every two years)
| Specialized Courses | |
|---|---|
| Math 605 | Math. Fluid Dynamics |
| Math 606 | Theory of Probability I |
| Math 614 | Dyn. Systems and Chaos |
| Math 620 | Algebraic Geometry I |
| Math 638 | Hyperbolic Conservation Laws |
| Math 639 | Iterative Techniques |
| Math 643 | Algebraic Topology I |
| Math 644 | Algebraic Topology II |
| Math 648 | Comput. Alg. Geom. |
| Math 650 | Several Compx. Variables |
| Math 651 | Optimization I |
| Math 652 | Optimization II |
| Math 655 | Functional Analysis I |
| Math 656 | Functional Analysis II |
| Math 657 | Spline Anal. and Allp. |
| Math 658 | Applied Harmonic Analysis |
| Math 661 | Math. Thry. of Fin. El. Meth. |
| Math 667 | Found. & Meth. of Approx. |
| Math 668 | Wavelet Analysis |
| Math 670 | Applied Mathematics I |
| Math 671 | Applied Mathematics II |
| Math 672 | Hydrodynamic Stability |
| Math 673 | Inform. Secrecy & Auth. I |
| Math 674 | Inform. Secrecy & Auth. II |
Special Topics and Seminar Courses
These math 689 and Math 66* courses are offered frquently covering a variety of topics and their offerings depend on faculty proposals, demand and current composition of the student body. Here is a list of recent offerings:
| Seminar and Special Topics | |||
|---|---|---|---|
| Spring 2004 | Math 662-601 | Shape Theory: Geometry and Statistics | P. Stiller | Math 662-603 | Seminar in Number Theory II | P. Cohen-Tretkoff | Math 663-601 | Using Banach Spaces in Analysis | W. Johnson | Math 663-602 | Topic in PDEs | C. Foias | Math 664-601 | Topics in Computational Math | J. Bramble | Math 664-602 | Calculus of Variations | W. Perry |
| Math 696-600 | Seminar in Mathematical biology | J. Walton | |
| Fall 2004 | Math 662-601 | Schubert Calculus in Geometry and Combinatorics | F. Sotille | Math 662-602 | The Methods of Analysis and Probability in Group Theory | R. Grigorchuk | Math 663-601 | Non-Commutative Analysis and Probability | G. Pisier | Math 663-602 | Topics in Basic Analysis | Sivakumar | Math 664-600 | Microlocal Analysis | P. Kuchment | Math 689-600 | Geophysical Fluid Dynamics | C. Foias |
| Spring 2005 | Math 662-602 | Introduction to Modular Forms | M. Papnikolas | Math 663-600 | Topics in PDEs | C. Foias | Math 689-601 | Nonlinear Analysis | G. Chen | Math 689-602 | Mix. Finite Elements | J. Pasciak | Math 689-603 | Statistical Methods for Inverse Problems | Y. Efendiev |
| Fall 2005 | Math 662-601 | Groups, Graphs and Spaces | Z. Sunik | Math 662-602 | Topics in Number Theory | M. Papanikolas | Math 663-601 | Operator Algebras and Non-Comm Harmonic Analysis | G. Pisier | Math 663-602 | Topics in Basic Analysis | Sivakumar | Math 689-601 | Algebraic Geometry | H. Schenck | Math 689-602 | Computation Complexity and Geometry | J. Landsberg |
| Spring 2006 | Math 662-602 | Diophantine Approx. and Geometry of Numbers | L. Fukshansky | Math 663-601 | Topics in PDEs | C. Foias | Math 663-602 | Topics in Classical Fourier Analysis | Sivakumar | Math 664-600 | Topics in Computational Math | W. Bangerth | Math 689-601 | Metric Geometry/ Geometric Functional Analysis | W. Johnson | Math 689-603 | Introduction to d-bar-Neumann problem | E. Straube | Math 689-604 | Algebraic Geometry | H. Schenck | Math 689-605 | Computational Math for Fluid Dynamics | P. Daripa | Math 689-606 | Probabilistic Combinatorics | C. Yan |
| Fall 2006 | Math 662-601 | Asymptotic Methods for Groups and Rings | R. Grigorchuk | Math 662-602 | Topics in Algebraic Geometry | P. Stiller | Math 663-601 | Topics in Banach Space Theory | T. Schlumprecth | Math 663-602 | Intro to Classical Analysis | Sivakumar | Math 664-600 | Topics in Computational math | Pascial/ Bramble | Math 689-601 | Operator Algebras and Non-Comm. Harmonic Analysis | G. Pisier | Math 689-602 | Numerical Methods for Fluid Flows | J-L. Guermond | Math 689-603 | Groups and Holomorphic Dynamics | V. Nekrashevych |
| Spring 2007 | Math 662-600 | Computational Number Theory | El-Guindy | Math 663-601 | Complex Geometry and Operator Theory | R. Douglas | Math 663-602 | Open Problems in Two-D Navier-Stokes Eqns. | C. Foias | Math 664-600 | Computational Thry. and Meth. for Multiple Sol. Probs. | J. Zhou | Math 689-601 | Up- and Multiscale Meth. for PDEs and Porous Media Flow | Y. Efendiev | Math 689-602 | Arithmetic and Geometry of Hypergeometric Functions | P. Tretkoff | Math 689-603 | Asymptotic and Perturbations Methods | G. Berkolaiko | Math 689-604 | Intro to Applicable Algebraic Geometry | Garcia-Puente/ Sotille |
| Fall 2007 | Math 662-600 | Commutative Algebra | L. Matusevich | Math 663-601 | Non-Commutative Lp-spaces and related questions | G. Pisier | Math 663-602 | Intro to Classical Analysis | Sivakumar | Math 664-600 | Information Theory | C. Douglas | Math 666-600 | Complex Geometry | J. Landsberg | Math 689-601 | Topics in Dynamics and Analysis | D. Kerr | Math 689-602 | Compressed Sensing | R. DeVore |
| Spring 2008 | Math 662-600 | Intro to Analytic Number Theory | M. Young | Math 663-601 | Topics in Classical Fourier Analysis | Sivakumar | Math 663-602 | Problems in Operator Theory | D. Larson | Math 664-601 | Quantum Statistical Mechanics and Related Topics | G. Chen | Math 664-602 | Topics in Bifurcation Theory for ODEs and PDEs | C. Foias | Math 664-603 | Nonlinear Approx. with Applications | R. DeVore | Math 689-601 | Multisacel Modeling and Simulation Tech for PDEs | Y. Efendiev | Math 689-602 | The Topology of Froup Actions | C. Wilkerson | Math 689-603 | Algebraic Geometry I | L. Matusevich |
| Fall 2008 | Math 662-601 | Representation Theory | J. Landsber | Math 662-602 | Algebraic Number Theory | M. Papanikolas | Math 663-600 | Inequalities | W. Johnson | Math 664-601 | Computerized Theory | P. Kuchment | Math 689-601 | Learning Theory | R. DeVore |
| Spring 2009 | Math 662-600 | Symmetric Functions and Combinatorial Hopf Algebras | F. Sotille | Math 663-601 | Inequalities II | W. Johnson | Math 664-601 | Nonlinear Wave Equations | A. Comech | Math 664-602 | Topics in PDEs | C. Foias | Math 666-600 | Algebraic Complexity Theory | J. Landsberg | Math 689-601 | Modular Forms | M. Young | Math 689-602 | Dime. Scaling Meth. and Topics in Mol. Quantum Mech. | G. Chen |
| Fall 2009 | Math 662-600 | Geometric Methods in Computer Vision and Digital Comm. | P. Stiller | Math 663-600 | Topics in Analysis | G. Pisier | Math 664-600 | Nonlinear Approx with Applications | R. DeVore | Math 666-600 | Tropical Geometry | F. Sotille | Math 689-601 | Topics in Ergodic Theory | D. Kerr | Math 689-602 | Intro to Microlocal Analysis | P. Kuchment | Math 689-603 | Topics in PDEs | B. Popov |
| Spring 2010 | Math 662-601 | Elliptic Curves | M. Papanikolas | Math 662-602 | Homological Algebra | S. Witherspoon | Math 663-601 | Topics in Banach Space Theory | W. Johnson | Math 664-601 | Into. Nonlinear Functional Analysis | C. Foias | Math 664-602 | Topics class in Invers Problems in PDEs | W. Rundell | Math 666-601 | Algebraic Geometry | F. Sotille |
| Fall 2010 | Math 663-600 | Op. Algebras & Non-Comm. LP Spaces | G. Pisier | Math 664-600 | Found. Aadaptive Finite Element Mthds | A. Bonito | Math 666-600 | Geometry of Tensors | J. Landsberg | Math 689-600 | Finite Dimm. Banach Spaces | J. Landsberg |
| Spring 2011 | Math 662-600 | Represenation Thy Finite Groups | E. Rowell | Math 662-601 | Group Theory | Z. SOnix | Math 663-602 | Topics in Ergodic Theory | L. Bowen | Math 664-600 | Hyperbolic Conservatio Laws | B. Popov | Math 666-600 | Complex Geometry | C. Robles |
| Fall 2011 | Math 663-600 | Real Noncommutative Algebra | K Dykema | Math 664-600 | Study of Wind Power Generation | G. Chen | Math 664-602 | Preconditiong Methods | G. Kanschat | Math 666-600 | Geometric Control Theory | I. Zelenko | Math 689-601 | Commutative & Homological Algebra | L. Matusevich | Math 689-602 | Differential Geometry & Applications | J. Pitts |
| Spring 2012 | Math 662-601 | Lie Theory | C. Robles | Math 662-602 | Group Theory | Z. Sunik | Math 663-600 | Seminar in Analysis | W. Johnson | Math 664-600 | Adv. Comp. Mthds for Incompressible Fluids | V. Girault | Math 689-600 | Open Problems in 2dim Navier-Stokes | C. Foias |