Discuss basic ideas in differential, integral, and multivariable calculus.

Explain fundamental concepts of abstract and linear algebra.

Discuss basic concepts of real and complex analysis.

Explain basic theory of sets and structures.

Implement suitable techniques to solve ordinary and partial differential equations.

Analyze and solve problems of basic statistics.

Analyze and prove basic theorems in mathematics.

Build appropriate mathematical or data-driven models to solve real-life problems.

Use appropriate mathematical or statistical software.

Communicate mathematics orally and in written form.

Work professionally and ethically in a team.