FAKULTÄT FÜR

MATHEMATIK

IMPORTANT

PLEASE READ THIS PAGE CAREFULLY AND THEN REGISTER ON THE MOODLE COURSE PAGE MATHEMATICAL FOUNDATIONS. ALL CURRENT INFORMATION WILL BE PUBLISHED ON THE MOODLE PAGE. THIS WEGPAGE WILL ONLY BE UPDATED ONCE BEFORE THE TERM STARTS.

Schedule

It all starts in the first week (in person on campus or via Zoom).

Tutorials and homework assignments (STILL TO BE UPATED)

Each week a new problem sheet is posted on this website. They contain exercises to work on and homework problems to hand in the next week following the instructions on the moodle page. Your graded solutions will be handed back to you online latest one week after the submission. There will be presumably 12 exercise sheets, 11 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. 

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 presumably take place on ..., and the re-exam presumably on ....

• 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:

• English
  
  • "Introduction to Mathematics for Life Scientists (Springer Study Edition)",Edward Batschelet, Springer, 1979 [unfortunately, not in the OvGU library]
  • "Essential Mathematics for Economic Analysis" by Sydsaeter and Hammond [electronic ressource for OvGU members]
  • "Mathematics for Physicists and Engineers: Fundamentals and Interactive Study Guide", Klaus Weltner, Wolfgang J. Weber, Jean Grosjean, Peter Schuster, Springer, 2009 [electronic ressource for OvGU members]
• German
• "Arbeitsbuch höhere Mathematik: Aufgaben mit vollständig durchgerechneten Lösungen", Georg Hoever, Springer, 2013 [electronic ressource for OvGU members]
• "Ingenieurmathematik für Studienanfänger: Formeln - Aufgaben - Lösungen", Gerald Hofmann, Springer, 2013 [electronic ressource for OvGU members]
• "Höhere Mathematik kompakt", Georg Hoever, Springer, 2013 [electronic ressource for OvGU members]
• "Mathematik für Ingenieure: Eine anschauliche Einführung in das praxisorientierte Studium", Thomas Rießinger, Springer Vieweg, 2013 [electronic ressource for OvGU members] & "Übungsaufgaben zu Mathematik für Ingenieure: Mit durchgerechneten und erklärten Lösungen", Thomas Rießinger, Springer Vieweg, 2013 [electronic ressource for OvGU members]
• "Mathematik für Ingenieure und Naturwissenschaftler: Lineare Algebra und Analysis in R", Wilhelm Merz, Peter Knabner, Springer, 2013 [electronic ressource for OvGU members]
• "Mathematik kompakt für Ingenieure und Informatiker", Yvonne Stry, Rainer Schwenkert, Springer 2013 [electronic ressource for OvGU members]