Applied Mathematics and Computational Science, PhD

Advanced mathematics is continually finding new applications in natural science, biology, engineering, medicine, and social sciences, and these fields are  providing new directions for the development of mathematics itself. The graduate group in Applied Mathematics and Computational Science takes a very broad view of mathematics and its applications in our mission to train mathematical scientists for careers in academia, research and industry.

In addition to providing a rigorous conceptual foundation for the application of mathematics, our diverse faculty gives AMCS students the opportunity to work in a “wet lab” environment where mathematics is actually being applied to real world problems. The AMCS graduate groups offer a full program of study in mathematics and its applications, offering both doctoral (Ph.D.) and masters (A.M.) degrees.

View the University’s Academic Rules for PhD Programs.


The total course units required for graduation is 20. 

Year 1
AMCS 6025
AMCS 6035
Numerical and Applied Analysis I
and Numerical and Applied Analysis II
AMCS 6081
AMCS 6091
and Analysis
MATH 6480
MATH 6490
Probability Theory
and Stochastic Processes
Select one elective
Year 2
Advanced Coursework to Prepare for PhD Thesis Proposal/Oral Exam
Teaching Assistantships
Year 3
PhD Thesis Proposal/Oral Exam
PhD Thesis Research
Year 4
PhD Thesis Research
Year 5
PhD Thesis Research and Defense

The degree and major requirements displayed are intended as a guide for students entering in the Fall of 2024 and later. Students should consult with their academic program regarding final certifications and requirements for graduation.