## Analysis & Linear Algebra for Physics (10-PHY-BIMA1), Uni Leipzig, WS 2019/20

**Lecture scrapbook.** Due to many requests, I provide scans of my notes. They are supposed only to serve as a lecture preparation for me. At many occasions the course of the lecture itself is different, proofs are done in an alternative way etc. In particular, notes contain mistakes. I **do not** recommend to follow them

First portion: Introduction, sequences, series

Second portion: continuity

Third portion: differentiation of functions of one variable+glimpse into ODEs

**Theorem with dots. **As promised, below careful proof of theorem on liminf/limsup/concentration points

**Tutorials of 29.11.2019**, note of TA Sandra Ried

**Homeworks for Analysis I. **They should be returned directly after Monday lectures (10:45). Please staple your solution sheets and do not put them into any folder etc.

Each student is entitled to one delayed submission: then the scanned homework should be emailed to Ms Mojgan Soltani at

ss47wuci@studserv.uni-leipzig.de

until Wednesday.

**Homeworks points**: http://bit.ly/2Qx6uZf

50% of standard HW points is needed for an exam admission (standard means excluding points for problems with *). **WARNING**: contrary to my experience and declared possibility (in a talk with one of students) , the German system does not allow to sit the re-take without admission by HWs. So you need 50% to be allowed to participate in any exam (both first-time and retake).

In case of a passed exam, a grade may be improved up to 20% by HW points. In case of a barely passed exam, good HW score may tip the scales.

Analysis I homework 1, of 21.10.2019 https://bit.ly/2pBekpc

Analysis I homework 2, of 28.10.2019 https://bit.ly/2WqaDPt

Analysis I homework 3, of 11.11.2019 https://bit.ly/2pQc8uB

Analysis I homework 4, of 18.11.2019 https://bit.ly/37mpn7h and solutions: http://bit.ly/2ZbmK4x

Analysis I homework 5, of 26.11.2019 http://bit.ly/2OfXGW7 solutions discussed at tutorials

Analysis I homework 6, of 02.12.2019 http://bit.ly/2Y9IbCh solutions discussed at tutorials

Analysis I homework 7, of 6.01.2020, due 20.01.2020 http://bit.ly/2FqRqWk and solution hints: http://bit.ly/2tEoGXW

Analysis I homework 8, of 13.01.2020, due 27.01.2020 http://bit.ly/2skk6NE

**HWs point checksum:** after the lecture of 3.02.2020 there will be an opportunity to discuss HWs points, e.g. mistakes in adding up the points or serious issues concerning marking. Any student that wishes to discuss their HWs must: (i) have a hardcopy of the marked solution sheet that they want to discuss, (ii) clearly present the issue. The marked solutions are available at tutorials. The final points count should be available online on 31.01.2020.

**Exam:**

time&place: 9:00 – 11:30, 10.02.2020, Theoretical Lecture Hall

admission: 50% of HWs points needed to sit the exam or retake (it is impossible to sit retake without satisfying 50% criterion!)

participation in the exam is needed to be allowed to sit retake

form of the exam, including providing a mock exam, will be discussed one week before the exam