Mathematics II, 2024-2025, Summer semester
Classes:
| Lectures | Superseminar |
|---|---|
| 18.2 | 19.2 |
| 25.2 | 26.2 |
| 4.3 | 5.3 |
| 11.3 | 12.3 |
| 18.3 | 19.3 |
| 25.3 | 26.3 |
| 1.4 | 2.4 |
| 8.4 | 9.4 |
| 15.4 | 16.4 |
| 22.4 | 23.4 |
| 29.4 | 30.4 |
| 6.5 | 7.5 |
| 14.5 | |
| 20.5 | 21.5 |
Exams:
written: 26.5.2025, 30.5.2025, 13.6.2025, 16.6.2025, 12.9.2025
oral: 27.5.2025, 30.5.2025, 13.6.2025, 17.6.2025, 12.9.2025
Lectures:
Preliminary version of the course Presentation all
Lecture Week 01 (Tuesday 18.2.2025, 14:00-15:20, 15:30-16:50)
Presentation, till properties of closed sets. we did pages 1-39 out of 42. We introduced the space \(\mathbb{R}^n\), addition and multiplication by scalars, metrics, convergence. We further introduced interior, exterior, boundary of a set, open sets, closure of a set, closed sets. We stoped at proofs of properties of closed sets.
Link to recording in Teams, part 1
Link to recording in Teams, part 2
Superseminar Week 01 (Wednesday 19.2.2025, 11:00-12:20)
Lectures Week 02 (Tuesday 25.2.2025, 14:00-15:20, 15:30-16:50)
Limits of functions of several variables, continuity for functions of several variables.
Link to recording in Teams part 1
Link to recording in Teams part 2
Link to recording in Teams part 3
Superseminar Week 02 (Wednesday 26.2.2025, 11:00-12:20)
Partial derivatives, tangent planes.
Lectures Week 03 (Tuesday 4.3.2025, 14:00-15:20, 15:30-16:50)
Limits of functions of several variables, continuity for functions of several variables.
Link to recording in Teams part 1
Link to recording in Teams part 2
Link to recording in Teams part 3
Superseminar Week 03 (Wednesday 5.3.2025, 11:00-12:20)
Lectures Week 04 (Tuesday 11.3.2025, 14:00-15:20, 15:30-16:50)
Limits of functions of several variables, continuity for functions of several variables.
Link to recording in Teams part 1
Link to recording in Teams part 2
Finished with Implicit function theorem and Lagrange multiplier theorem. Next time: concave, quasiconcave functions, later matrices.