¸£Àû±ÆÕ¾

¸£Àû±ÆÕ¾ Catalog 2025-2026

Applied Mathematics (PhD): Computational Mathematics Concentration

Required Courses *63
See "Required Courses" listed below
Computational Mathematics Concentration Requirements9
See "Computational Mathematics Concentration Courses" listed below
Total Hours72
*

Must contain a minimum of 30 credit hours of 500-level or above MA courses.

Required Courses by category

Select at least one course from each category below:
Continuous Mathematics
²Ñ´¡Ìý513Introduction To Complex Variables3
²Ñ´¡Ìý515Analysis I3
²Ñ´¡Ìý531Dynamic Systems and Multivariable Control I3
²Ñ´¡Ìý532Ordinary Differential Equations I3
²Ñ´¡Ìý534Introduction To Partial Differential Equations3
²Ñ´¡Ìý546Probability and Stochastic Processes I3
²Ñ´¡Ìý551Introduction to Topology3
²Ñ´¡Ìý555Introduction to Manifold Theory3
Discrete Mathematics
²Ñ´¡Ìý505Linear Programming3
²Ñ´¡Ìý520Linear Algebra3
²Ñ´¡Ìý521Abstract Algebra I3
²Ñ´¡Ìý523Linear Transformations and Matrix Theory3
²Ñ´¡Ìý524Combinatorics I3
²Ñ´¡Ìý526Mathematical Analysis II3
Computational Mathematics
²Ñ´¡Ìý522Computer Algebra3
²Ñ´¡Ìý540Uncertainty Quantification for Physical and Biological Models3
MA/CS 565Graph Theory3
²Ñ´¡Ìý573Mathematical Modeling of Physical and Biological Processes I3
²Ñ´¡Ìý580Numerical Analysis I3

Computational Mathematics Concentration Courses

Select at least three courses from the following:
²Ñ´¡Ìý522Computer Algebra3
²Ñ´¡Ìý540Uncertainty Quantification for Physical and Biological Models3
²Ñ´¡Ìý544Computer Experiments In Mathematical Probability3
²Ñ´¡Ìý565Graph Theory3
²Ñ´¡Ìý573Mathematical Modeling of Physical and Biological Processes I3
²Ñ´¡Ìý584Numerical Solution of Partial Differential Equations--Finite Difference Methods3
²Ñ´¡Ìý587Numerical Solution of Partial Differential Equations--Finite Element Method3
²Ñ´¡Ìý784Numerical Methods for Nonlinear Equations and Optimization3
²Ñ´¡Ìý788Numerical Nonlinear Partial Differential Equations3
°ä³§°äÌý501Operating Systems Principles3
°ä³§°äÌý505Design and Analysis Of Algorithms3
°ä³§°äÌý506Architecture Of Parallel Computers3
°ä·¡Ìý537Computer Methods and Applications3
°ä³§°äÌý512Compiler Construction3
±Ê³ÛÌý525Computational Physics3
·¡°ä·¡Ìý513Advanced Digital Signal Processing3
²Ñ´¡·¡Ìý560Computational Fluid Mechanics and Heat Transfer3
³§°ÕÌý555Statistical Programming I3
¹ó±õ²ÑÌý548Monte Carlo Methods for Financial Math3

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