The post-bachelor’s Certificate for Advanced Study in Computational Mathematical Modeling provides education and training for careers in science and industry as well as for further graduate study in the area of physically based computational mathematical modeling and data analysis. To be successful in these areas practitioners must have a sound background in mathematical modeling and good computational skills. The certificate stresses fundamentals and applications equally.
Students will learn how to model, analyze and solve problems from science and engineering using advanced methods from linear algebra, differential equations, and computational mathematics; implement numerical methods for the solution of standard partial and ordinary differential equations, to analyze their mathematical behavior (consistency and stability), and to choose the appropriate method for different types of problems; apply their knowledge of computational mathematical modeling in their area of interest, for example, fluids, elasticity, electromagnetism, quantum mechanics, material science, probability, stochastic modeling, data-analysis, nano-science or biomedical applications.
The program is designed for students with a BS in mathematics, physics, engineering, or a comparable program. In addition, a background in mathematics including linear algebra, differential equations, and multivariate calculus (calculus III) is required.
Enrolled students are provided with the opportunity to expand their analytical and presentation skills in this dynamic and growing field, resulting in increased career advancement opportunities. The Certificate is valuable to applied mathematicians, engineers and computational physicists seeking solutions to problems in diverse areas such as material science, medical applications, energy engineering and astronomy.
The CAS in Computational Mathematical Modeling consists of 12 credit hours:
- MAT 502 Linear Algebra
- MAT 515 Mathematical Modeling in Computational Sciences and Engineering
- MAT 560 Numerical Differential Equations
- Choose one from the following:
MAT 550 Time Series Analysis
MAT 505 Introduction to Probability
MAT 590 Selected Topics in Mathematics
It is anticipated that additional graduate course offerings in physics and engineering will be added to this list of course options in the near future.
Students are required to consult with a faculty member to develop an academic plan.
Degree Requirements Overview & Program Notes
- All graduate courses are 3 credit hours.
- All students must have a 3.0 GPA or higher to graduate.