Upon completion of the course the students can

** Knowledge **

- Understand basic concepts of calculus and linear algebra.

** Skills**

- Use tools from analysis: trigonometric and inverse trigonometric functions, integration techniques (integrations by parts and substitution), Taylor polynomials, Taylor series.
- Apply complex numbers, in particular to solve algebraic equations.
- Master basic tools of linear algebra: vectors, matrices, Gauss-elimination in systems of linear equations, determinants, Cramer's formula, inverse matrices.
- Understand and analyze linear transformations, eigenvalues and eigenvectors, quadratic forms.

** General competence**

- Learn new mathematical tools, which have many applications in economics courses and serve as a background for more specialized mathematical courses.