Time and place:
Lectures: Wednesday 15:15--16:45 , Friday 13:15--14:45 , Theoretical Lecture Hall
Exercises: Wednesday 11:15--12:45 (online in Zoom, the link is available at Moodle) , Friday 15:15--16;45 (Theoretical Lecture Hall)
the exercise sessions are identical so it is enough to visit only one of the two.
First weeks irregularities:
there will be no lecture on 13 October (due to matriculation day), so the first lecture is on 15 October
there will be no exercises on 13, 15, 20, 22 October -- so the first exercise is on 27 and 29 October
Grading
There will be a final exam at the end of the course. Also, each week there will be a homework. You will need to download solutions to Moodle. You need to solve at least 50% of homework in order to be admitted to the exam. Also, there are bonuses for doing more that will be added to the final exam scores: >65% -- 1 bonus point, >80% -- 2 bonus point, >95% -- 3 bonus points.
Description
Calculus of one variable: numbers, limits of sequences, series, continuous and differentiable functions, Taylor series, integrals.
Basic linear algebra: vector space, basis, determinants, scalar product.
Materials
The course will not strictly follow any of the textbooks, yet there is a lot of literature that cover the material of the course. You can find many helpful references at the webpage of the previous year course given by Stephan Mescher.
During the course the handwritten lecture notes will be published in Moodle and / or here shortly after the lectures.
Online participation
In case you have to participate in this course while not being in Leipzig, there are the following arrangements. First, homeworks will be published at Moodle website, and you will need to send solutions there as well, so you can fully participate in that. Second, videos of lectures will be available for you. Third, you can use videos of the previous year course , the material will have a very significant overlap with this year course. Fourth, the handwritten lecture notes of this course will be available. Fifth, the online exercise session on Wednesday is specifically planned for those who are currently not in Leipzig.