| Lectures and exercises |
hours |
| Topics |
Specific contents |
|
| Basics |
elements of logic and set theory, real and complex numbers |
13
|
| Calculus for a single variable |
limits, differentiation, mean-value theorem, L’Hospital’s rule, Taylor’s theorem |
17
|
| Sequences and series |
convergence criteria, power Series |
17
|
| Integration |
the fundamental theorem of calculus, integration by parts and by substitution, integration of rational functions |
18
|
| Calculus for several variables |
partial differentiation, differentiation, tangent plane, differential forms, line integrals |
17
|
| Ordinary differential equations |
first-order linear ordinary differential equations, variables separable equations, linear differential equations with constant coefficients, existence and uniqueness theorem |
18
|
| Total hours for lectures and exercises |
100 |
| for exercises only |
30 |
|
Further educational activities
|
hours
|
| Labs |
|
| Tutorials / Seminars |
|
| Workshops |
|
| Guided tours |
|
| additional exercises (calculus) |
18 |
| Total hours for further educational activities |
18 |
| Total hours |
118
|