Mathematical Modeling
Why mathematical modeling?
Mathematical modeling is a crucial process in modern engineering design, problem solving, and research, sciences, finance, etc. It is widely recognized in industry and all sectors of the economy as an important tool for developing cost-effective solutions, designs, and products.
The need for mathematical modeling in engineering problem solving and design is illustrated in the following flowchart:

It is generally recognized that typical science and engineering graduates do not have adequate mathematical modeling skills. These deficiencies result in enormous additional costs to industry and can adversely affect the competitiveness of the United States.
American Polytechnic Institute offers a certificate program that provides a rigorous comprehensive integrated project-based graduate-level education and training in mathematical modeling. With this background students can competently develop effective mathematical models in any discipline or specialty.
What is unique to our mathematical modeling certificate is that it is centered around a capstone project to develop a mathematical model of interest to the employer and student.
In addition to the capstone project, each course includes a term project. Courses can also be taken individually.
The certificate in mathematical modeling provides the skills required for effective mathematical modeling applicable to engineering, physical and life sciences, and finance.
The mathematical modeling certificate is also open to BS/BA graduates in finance
Courses
- MATH 510: Mathematical Modeling I: Ordinary Linear Differential Equations, Linear Algebra, Vector Calculus, Complex Analysis
- MATH 520: Mathematical Modeling II: Partial Differential Equations
- MATH 530: Mathematical Modeling III: Probability and Statistics, Error Analysis, Experiment Design
- MATH 540: Mathematical Modeling IV: Numerical Analysis
- MATH 550: Mathematical Modeling V: Project