# Learning Outcomes: Applied Mathematics, MS

Learning outcomes for the Master of Science in Applied Mathematics

**Optimization and Algorithms Track**

- Students will gain fundamental understanding in at least four of the seven core subjects of graph theory, combinatorics, numerical analysis, algorithms, applied statistics, linear programming, nonlinear programming.
- Students will gain breadth of knowledge in at least three of the following areas: optimization, control theory and coding theory, combinatorics/graph theory, algorithms/theory of computation, statistics.
- Students will gain experience in original research in applied mathematics, if desired. This goal applies to students on the thesis track of this program.

**Applications to the Sciences Track**

- Students will gain depth of understanding of the theory of differential equations and dynamical systems.
- Students will gain the ability to engage with theoretical mathematical thinking in areas relevant to the application of differential equations and dynamical systems to the sciences, at the graduate level.
- Students will gain exposure to the application of mathematics in one or more of the sciences.
- Students will gain experience in original research in applied mathematics, if desired. This goal applies to students on the thesis track of this program.

**Computational Science and Engineering (CSE) Track**

- Students will gain a fundamental understanding of the theory of differential equations/dynamical systems.
- Students will gain a fundamental understanding, at the graduate level, of at least one of the core subjects of abstract algebra, real analysis, complex analysis.
- Students will gain an understanding of the use of computational techniques in the study of applied mathematics.
- Students will gain experience in original research in applied mathematics, if desired. This goal applies to students on the thesis track of this program.