Applied Mathematics (PhD): Computational Mathematics Concentration

Course List
Code	Title	Hours	Counts towards
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.

Course List
Code	Title	Hours
Select at least one course from each category below:
Continuous Mathematics
MA 513	Introduction To Complex Variables	3
MA 515	Analysis I	3
MA 531	Dynamic Systems and Multivariable Control I	3
MA 532	Ordinary Differential Equations I	3
MA 534	Introduction To Partial Differential Equations	3
MA 546	Probability and Stochastic Processes I	3
MA 551	Introduction to Topology	3
MA 555	Introduction to Manifold Theory	3
Discrete Mathematics
MA 505	Linear Programming	3
MA 520	Linear Algebra	3
MA 521	Abstract Algebra I	3
MA 523	Linear Transformations and Matrix Theory	3
MA 524	Combinatorics I	3
MA 526	Mathematical Analysis II	3
Computational Mathematics
MA 522	Computer Algebra	3
MA 540	Uncertainty Quantification for Physical and Biological Models	3
MA/CS 565	Graph Theory	3
MA 573	Mathematical Modeling of Physical and Biological Processes I	3
MA 580		3

Course List
Code	Title	Hours
Select at least three courses from the following:
MA 522	Computer Algebra	3
MA 540	Uncertainty Quantification for Physical and Biological Models	3
MA 544	Computer Experiments In Mathematical Probability	3
MA 565	Graph Theory	3
MA 573	Mathematical Modeling of Physical and Biological Processes I	3
MA 584	Numerical Solution of Partial Differential Equations--Finite Difference Methods	3
MA 587	Numerical Solution of Partial Differential Equations--Finite Element Method	3
MA 784	Nonlinear Equations and Unconstrained Optimization	3
MA 788	Numerical Nonlinear Partial Differential Equations	3
CSC 501	Operating Systems Principles	3
CSC 505	Design and Analysis Of Algorithms	3
CSC 506	Architecture Of Parallel Computers	3
CE 537	Computer Methods and Applications	3
CSC 512	Compiler Construction	3
PY 525	Computational Physics	3
ECE 513	Digital Signal Processing	3
MAE 560	Computational Fluid Mechanics and Heat Transfer	3
ST 555	Statistical Programming I	3
FIM 548	Monte Carlo Methods for Financial Math	3

Faculty