Applied Mathematics (PhD): Computational Mathematics Concentration
| Code | Title | Hours |
|---|---|---|
| Required Courses * | 63 | |
See "Required Courses" listed below | ||
| Computational Mathematics Concentration Requirements | 9 | |
See "Computational Mathematics Concentration Courses" listed below | ||
| Total Hours | 72 | |
- *
Must contain a minimum of 30 credit hours of 500-level or above MA courses.
Required Courses by category
| Code | Title | Hours |
|---|---|---|
| Select at least one course from each category below: | ||
Continuous Mathematics | ||
| ²Ñ´¡Ìý513 | Introduction To Complex Variables | 3 |
| ²Ñ´¡Ìý515 | Analysis I | 3 |
| ²Ñ´¡Ìý531 | Dynamic Systems and Multivariable Control I | 3 |
| ²Ñ´¡Ìý532 | Ordinary Differential Equations I | 3 |
| ²Ñ´¡Ìý534 | Introduction To Partial Differential Equations | 3 |
| ²Ñ´¡Ìý546 | Probability and Stochastic Processes I | 3 |
| ²Ñ´¡Ìý551 | Introduction to Topology | 3 |
| ²Ñ´¡Ìý555 | Introduction to Manifold Theory | 3 |
Discrete Mathematics | ||
| ²Ñ´¡Ìý505 | Linear Programming | 3 |
| ²Ñ´¡Ìý520 | Linear Algebra | 3 |
| ²Ñ´¡Ìý521 | Abstract Algebra I | 3 |
| ²Ñ´¡Ìý523 | Linear Transformations and Matrix Theory | 3 |
| ²Ñ´¡Ìý524 | Combinatorics I | 3 |
| ²Ñ´¡Ìý526 | Mathematical Analysis II | 3 |
Computational Mathematics | ||
| ²Ñ´¡Ìý522 | Computer Algebra | 3 |
| ²Ñ´¡Ìý540 | Uncertainty Quantification for Physical and Biological Models | 3 |
| MA/CS 565 | Graph Theory | 3 |
| ²Ñ´¡Ìý573 | Mathematical Modeling of Physical and Biological Processes I | 3 |
| ²Ñ´¡Ìý580 | Numerical Analysis I | 3 |
Computational Mathematics Concentration Courses
| Code | Title | Hours |
|---|---|---|
| Select at least three courses from the following: | ||
| ²Ñ´¡Ìý522 | Computer Algebra | 3 |
| ²Ñ´¡Ìý540 | Uncertainty Quantification for Physical and Biological Models | 3 |
| ²Ñ´¡Ìý544 | Computer Experiments In Mathematical Probability | 3 |
| ²Ñ´¡Ìý565 | Graph Theory | 3 |
| ²Ñ´¡Ìý573 | Mathematical Modeling of Physical and Biological Processes I | 3 |
| ²Ñ´¡Ìý584 | Numerical Solution of Partial Differential Equations--Finite Difference Methods | 3 |
| ²Ñ´¡Ìý587 | Numerical Solution of Partial Differential Equations--Finite Element Method | 3 |
| ²Ñ´¡Ìý784 | Numerical Methods for Nonlinear Equations and Optimization | 3 |
| ²Ñ´¡Ìý788 | Numerical Nonlinear Partial Differential Equations | 3 |
| °ä³§°äÌý501 | Operating Systems Principles | 3 |
| °ä³§°äÌý505 | Design and Analysis Of Algorithms | 3 |
| °ä³§°äÌý506 | Architecture Of Parallel Computers | 3 |
| °ä·¡Ìý537 | Computer Methods and Applications | 3 |
| °ä³§°äÌý512 | Compiler Construction | 3 |
| ±Ê³ÛÌý525 | Computational Physics | 3 |
| ·¡°ä·¡Ìý513 | Advanced Digital Signal Processing | 3 |
| ²Ñ´¡·¡Ìý560 | Computational Fluid Mechanics and Heat Transfer | 3 |
| ³§°ÕÌý555 | Statistical Programming I | 3 |
| ¹ó±õ²ÑÌý548 | Monte Carlo Methods for Financial Math | 3 |
Faculty
Full Professors
- Bojko Nentchev Bakalov
- Lorena Bociu
- Alina Emil Chertock
- Moody Ten-Chao Chu
- Patrick Louis Combettes
- Pierre Alain Gremaud
- Mansoor Abbas Haider
- Hoon Hong
- Ilse Ipsen
- Kazufumi Ito
- Naihuan Jing
- Erich L. Kaltofen
- Irina Aleksandrovna Kogan
- Rachel Levy
- Zhilin Li
- Alun L. Lloyd
- Sharon R. Lubkin
- Negash G. Medhin
- Kailash Chandra Misra
- Mette Olufsen
- Tao Pang
- Nathan P. Reading
- Jesus Rodriguez
- Ralph Conover Smith
- Seth M. Sullivant
- Hien Trong Tran
- Semyon Victor Tsynkov
- Dmitry Valerievich Zenkov
Associate Professors
- Alen Alexanderian
- Kevin Flores
- Min Jeong Kang
- Tye Lidman
- Tien Khai Nguyen
- Andrew Papanicolaou
- David Papp
- Arvind Krishna Saibaba
- Radmila Sazdanovic
Assistant Professors
- Erik Walter Bates
- Zixuan Cang
- Chao Chen
- Yairon Cid Ruiz
- Laura Colmenarejo Hernando
- Mohammad Mehdi Farazmand
- Hangjie Ji
- Corey Jones
- Zane Kun Li
- Andrew Jason Manion
- Jacob Paul Matherne
- Peter McGrath
- Ryan William Murray
- Dominykas Norgilas
- Andrew O'Shea Sageman-Furnas
- Teemu Saksala
- Yeonjong Shin
- Fatma Terzioglu
Adjunct Faculty
- Scott Christopher Batson
- Jonathan D. Hauenstein
- Patricia L. Hersh
- John Lavery
- Sarah Katherine Mason
- Jordan E. Massad
- Jessica Loock Matthews
- Johnny T. Ottesen
Practice/Research/Teaching Professors
- Elisabeth M. M. Brown
- Luke Castle
- Alina Nicoleta Duca
- Molly A. Fenn
- Mikhail Gilman
- Maitreyee Kulkarni
- Bevin Laurel Maultsby
- Stepan Paul
- Faye Simon
Emeritus Faculty
- John William Bishir
- Stephen LaVern Campbell
- Richard E. Chandler
- H. Charlton
- Ethelbert N. Chukwu
- Lung-ock Chung
- Jo-Ann D. Cohen
- Joseph C. Dunn
- Gary Doyle Faulkner
- John E. Franke
- Ronald O. Fulp
- Dennis E. Garoutte
- John Richard Griggs
- Robert E. Hartwig
- Aloysius G. Helminck
- Robert H. Martin Jr
- Carl Meyer Jr.
- Carl Timothy Kelley
- Thomas J. Lada
- Xiao-Biao Lin
- Joe A. Marlin
- Larry Keith Norris
- L. Page
- Sandra Paur
- E. Peterson
- Mohan Sastri Putcha
- N. Rose
- Stephen Schecter
- Jeffrey Scott Scroggs
- James Francis Selgrade
- Michael Shearer
- C. Siewert
- Robert Silber
- Jack Silverstein
- Michael F. Singer
- Ernest Stitzinger
- R. White