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.
For more information: http://www.amcs.upenn.edu/
University PhD Benchmarks
In addition to Program requirements, the following milestones must be completed:
| Code | Title | Course Units |
|---|---|---|
| Qualifying Evaluation | ||
| Candidacy Examination | ||
| Dissertation Defense/Oral Exam | ||
| Dissertation Deposit | ||
For more information view the University’s Academic Rules for PhD Programs.
Curriculum
| Code | Title | Course Units |
|---|---|---|
| AMCS 6025 | Numerical and Applied Analysis I | 1 |
| AMCS 6035 | Numerical and Applied Analysis II | 1 |
| AMCS 6081 | Analysis | 1 |
| AMCS 6091 | Analysis | 1 |
| MATH 6480 | Probability Theory | 1 |
| MATH 6490 | Stochastic Processes | 1 |
| Advanced Coursework in AMCS, CIS, ESE, MATH, or STAT courses | 14 | |
| Teaching Requirement | ||
| One semester of teaching is required | ||
| Total Course Units | 20 | |
University PhD Benchmarks
In addition to Program requirements, the following milestones must be completed:
| Code | Title | Course Units |
|---|---|---|
| Qualifying Evaluation | ||
| Candidacy Examination | ||
| Dissertation Defense/Oral Exam | ||
| Dissertation Deposit | ||
For more information view the University’s Academic Rules for PhD Programs.
The degree and major requirements displayed are intended as a guide for students entering in the Fall of 2025 and later. Students should consult with their academic program regarding final certifications and requirements for graduation.