Mathematical analysis 2 (tutorial)

NMAI055

Mathematical analysis 2 logo Mathematical analysis 2 logo

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: