- Demonstrate fundamental mastery of calculus, linear algebra, and differential equations.
- Be able to solve calculus-level probability problems and apply probability theory in modeling random phenomena.
- Be able to solve calculus-level statistical problems and apply statistical methods to analysis of data.
- Have mastery of calculus-level optimization and its applications to real-world problems.
- Be able to write properly.
- Be able to use computers, including writing programs, to solve mathematical problems.