A student in the applied mathematics track must demonstrate knowledge of scientific computing, mathematical modeling, and differential equations. This includes taking qualifying examinations in the areas of computational mathematics and mathematical modeling, and taking certain courses in these three areas, as specified below.
A doctoral student in the applied mathematics track must take written examinations in numerical analysis and in mathematical modeling, as well as an oral examination in his or her chosen area of specialization. Subjects include but are not restricted to fluid mechanics, statistical mechanics, epidemiology, neuroscience, and more traditional fields of mathematics.
MATH 431  Introduction to Numerical Analysis I  3 
One of the following:  3  
MATH 432

Numerical Differential Equations  
MATH 433

Numerical Solutions of Nonlinear Systems and Optimization  
MATH 441  Mathematical Modeling  3 
One of the following:  3  
MATH 435

Ordinary Differential Equations  
MATH 445

Introduction to Partial Differential Equations  
24 hours of approved courses ^{*}  24  
Total Units  36 
*  Must include at least 9 hours of courses designated MATH and at least 9 credit hours not designated MATH. 