# Graduate Degrees in Computational and Applied Mathematics

The MS program is designed to prepare candidates for careers in industry or government or for further study at the PhD level, while the PhD degree program is sufficiently flexible to prepare candidates for careers in industry, government, and academia. A course of study leading to the PhD degree can be designed either for the student who has already completed the MS degree or for the student who has completed just the bachelor's degree.

A combined BS-MS program is also available for undergraduate students enrolled in the BS program at the Colorado School of Mines. This allows students to complete graduate courses while still an undergraduate to expedite the completion time to approximately one to one and a half years to earn an MS degree.

Graduate Students in AMS 2015-2016

The MS program in Computational and Applied Mathematics (CAM) provides the opportunity for students to pursue 30 specialized credits through either a thesis or non-thesis degree program. A minimum of six thesis credits are required for an MS-thesis degree, with 24 course credits for a total of 30 credits.

All MS and PhD candidates pursuing CAM complete the following eight courses:

- MATH 500 Linear Vector Spaces
- MATH 501 Applied Analysis
- MATH 514 Applied Mathematics I
- MATH 515 Applied Mathematics II
- MATH 550 Numerical Solutions to PDEs
- MATH 551 Computational Linear Algebra
- SYGN 502 Introduction to Research Ethics *
- MATH 589 Applied Mathematics and Statistics Teaching Seminar **

* Required for students receiving federal support

** Required only for students employed by the department as graduate teaching assistants and student instructor/lecturers

All MS and PhD candidates pursuing CAM will take at least two courses from the following list:

- MATH 408 Computational Methods for Differential Equations
- MATH 440/540 Parallel Scientific Computing
- MATH 454 Complex Analysis
- MATH 455 Partial Differential Equations
- MATH 457/557 Integral Equations
- MATH 458 Abstract Algebra
- MATH 484 Mathematical and Computational Modeling - capstone
- MATH 502 Real and Abstract Analysis
- MATH 503 Functional Analysis
- MATH 506 Complex Analysis II
- MATH 510 ODEs and Dynamical Systems
- MATH 556 Modeling with Symbolic Software

The above courses account for at least 24 credit hours of required course work for all students. For non-thesis M.S. students, up to six credits of elective courses (at the 400-500 level) may be taken in other departments on campus. Thesis students must complete at least 6 research credits. Minors are also an option.

**PhD in Computational and Applied Mathematics**

The Doctor of Philosophy requires 72 credit hours beyond the bachelor’s degree. At least 24 of these hours must be thesis hours. Doctoral students must pass the comprehensive examination (a qualifying examination and thesis proposal), complete a satisfactory thesis, and successfully defend their thesis.

Employment of Mathematicians is projected to grow 21% from 2014-2024, much faster than the average (11%) for all occupations, according to the Bureau of Labor Statistics.