Mathematical Foundations (WiSe 20/21)

IMPORTANT

PLEASE READ THIS PAGE CAREFULLY AND THEN REGISTER ON THE MOODLE COURSE PAGE MATHEMATICAL FOUNDATIONS. ALL THE TEACHING MATERIAL AND VIDEOS WILL BE PUBLISHED ON THE MOODLE PAGE. THIS WEGPAGE IS FOR REFERENCE ONLY.

Schedule
Event Instructor Day/Time Location
Lecture Prof. Dr. Nill

-

online
Tutorial Marco Lotz Thu 9-11 online

It all starts in the first week.

Tutorials and homework assignments

THIS MIGHT CHANGE ACCORDING TO THE SPECIAL SITUATION.

 Each week a new problem sheet is posted on this website. They contain many problems to work on and think about. Please hand your written solution to the marked homework assignments on sheet #n in following the instructions on the moodle page usually in week #n+2. Your graded solutions will be handed back to you online latest one week after the submission (so in week #n+3). There will be presumably 11 exercise sheets, 10 of them will have homework assignments to hand in. To get the credits for the tutorial you need to have handed in written homework for at least 5 exercise sheets (with a visible effort to solve at least one of the problems). You can get at most 10 additional points on the exam depending on how many of the homework assignments you solved correctly. Only one of the two homework problems will be graded by the tutor. 

It is possible to work on the homework in teams of two, so it is allowed that two names are on the homework that is handed in.

Remark

For additional help please check out the "MatheSupport" - an additional offer by the Faculty of Mathematics for students from other faculties.

Topics
  • Sets and functions
  • Vectors and matrices
  • Systems of linear equations
  • Determinants
  • Eigenvalues
  • Derivatives
  • Integrals
  • Derivatives of functions in several variables
  • Ordinary differential equations
Exams

The exam will take place on February 19, 2021 (2-4pm, online!) and the re-exam on March 26, 2021 (10-12, G16-HS5 or online).

  • The written exam will be based on the lectures and the examples in the tutorials.
  • You may only use a sheet of paper containing handwritten notes. Size of that paper: DIN A4, double sided.
  • Getting at least 40 of the maximal 100 exam points will be sufficient to pass the exam.
  • Calculators (of all kinds) are not allowed and not required.
  • Other books or notes or notebooks/laptops or mobile phones are not allowed.
  • Bring your IDs!
  • Some exams from previous years can be found here.
Literature

You can find contents of the course in many books on basics of higher mathematics, and (of different quality) also at several places on the web. For example, many articles in WIKIPEDIA are correct and include further references. You probably also heard about Khan Academy. Here are some books on the topic of the course:

Letzte Änderung: 14.09.2021 - Ansprechpartner: Webmaster