Mathematical analysis 2 (tutorial)
NMAI055
Tutorials: Wednesday 14:00–15:30 in S1.
Tutor: Peter Zeman.
Lectures: Course website by Martin Klazar, with lecture notes and slides.
Conditions: There will be three 45-minute written tests, one for each topic: metric spaces, differential calculus, and integrals. Let $p_i$ denote the maximum number of points available on test $i$, for $i=1,2,3$. To pass the tutorials, you must earn at least $\frac{1}{2}(p_1+p_2+p_3)$ points in total across the three tests. You may use any written or printed materials during the tests. Using electronic devices during a test will result in zero points for that test. The test problems will be similar to those covered during the tutorials.
Schedule and materials
| Date | Content | Materials |
|---|---|---|
| 30.09. | Overview. Derivatives and linear approximation, Taylor polynomials and extrema, multivariable integration, and metric spaces. | Notes |
| 07.10. | Metric spaces 1. | Sheet 1 · Solutions |
| 14.10. | ||
| 21.10. | First test: metric spaces. | |
| 28.10. | No tutorial. | |
| 04.11. | ||
| 11.11. | ||
| 18.11. | ||
| 25.11. | ||
| 02.12. | Second test: multivariable differential calculus. | |
| 09.12. | ||
| 16.12. | ||
| 06.01. | Third test: multivariable integral calculus. |
Additional resources
Analysis II: Several Variables by Joaquim Serra (ETH Zürich). These lecture notes cover more material than this course, but follow a similar approach. The ETH course page also provides additional exercise sheets with solutions.
Two video series by 3Blue1Brown for visual intuition and revision: