BannerHauptseite TUMHauptseite LehrstuhlMathematik SchriftzugHauptseite LehrstuhlHauptseite Fakultät

Basic Mathematics (MSE)

News

  • The exam for MA9801 will take place on Tuesday, Feb 20, 2018, in MW 0001, Gustav-Niemann-Hörsaal (5510.EG.001) from 11:00 AM to 12:30 PM. You are only allowed to bring a hand-written DIN A4 cheat sheet to the exam.
  • Beginning November 14, 2017, tutorial session 5 will meet in room MI 03.08.011.
  • Due to the holidays during the week of October 30, 2017, the tutorial sessions are cancelled.
  • The tutorial sessions will start the week of Oct 23, 2017.

Organization

  • Lectures (5 SWS)
  • Tutorial Sessions
    • Group 1: Mondays, 10:00 - 11:30 AM, Carl Grunenwald
    • Group 2: Mondays, 10:00 - 11:30 AM, Elin Eriksson
    • Group 3: Mondays, 4:15 - 5:45 PM, Tobias Blickhan
    • Group 4: Mondays, 4:15 - 5:45 PM, Pirmin Schlicke
    • Group 5: Tuesdays, 2:30 - 4:00 PM, Vincent Steffan
    • Group 6: Tuesdays, 2:30 - 4:00 PM, Pirmin Schlicke

Contents

  • Mathematical Preliminaries
    • Basic Logic
    • Naive Set Theory
    • Proof by Induction
  • Linear Algebra
    • Vector Spaces
    • Linear Transformations and Matrices
    • Linear Systems
    • Eigenvalues and Eigenvectors
    • Matrix Factorizations
  • Analysis in R
    • Real Numbers
    • Limits and Continuity
    • Differentiation
    • Taylor Expansions
    • Definite and Indefinite Integrals

Problem Sets

Problem Set 1 Problem Set 1 - Suggested Solutions
Problem Set 2 Problem Set 2 - Suggested Solutions
Problem Set 3 Problem Set 3 - Suggested Solutions
Problem Set 4 Problem Set 4 - Suggested Solutions
Problem Set 5 Problem Set 5 - Suggested Solutions
Problem Set 6 Problem Set 6 - Suggested Solutions
Problem Set 7 Problem Set 7 - Suggested Solutions
Problem Set 8 Problem Set 8 - Suggested Solutions
Problem Set 9 Problem Set 9 - Suggested Solutions
Problem Set 10 Problem Set 10 - Suggested Solutions
Additional Problems for Practice 1 (in German)
Problem Set 11 Problem Set 11 - Suggested Solutions
Problem Set 12 Problem Set 12 - Suggested Solutions
Problem Set 13 Problem Set 13 - Suggested Solutions
Additional Problems for Practice 2 (in German)
Mock Exam

Lecture Notes

Oct 16 - 18, 2017
Oct 23 - 25, 2017
Oct 30, 2017
Nov 06 - 08, 2017
Nov 13 - 15, 2017 Audio Files
Nov 20 - 22, 2017 Audio Files
Nov 27 - 29, 2017 Audio Files
Dec 04 - 06, 2017 Audio Files
Dec 11 - 13, 2017 Audio Files
Dec 18 - 20, 2017 Audio Files
Jan 08 - 10, 2018 Audio Files
Jan 15 - 17, 2018 Audio Files
Jan 22 - 24, 2018 Audio Files
Jan 29 - 31, 2018 Audio Files
Feb 05 - 07, 2018 Audio Files

Literature

  • Ansorge, R.:/Oberle, H. J.: Mathematik für Ingenieure 1. Lineare Algebra und analytische Geometrie, Differential- und Integralrechnung einer Variablen, Wiley-VCH Verlag (2000).
  • Arens, T., et al.: Mathematik, Spektrum Verlag (2008).
  • Meyberg, K./Vachenauer, P.: Höhere Mathematik 1 Differential- und Integralrechnung, Vektor- und Matrizenrechnung, Springer Verlag (1997).
  • Dahmen, W./Reusken, A.: Numerik für Ingenieure und Naturwissenschaftler, Springer Verlag (2006).
  • C. B. Moler: Numerical Computing with MATLAB, SIAM (2004).
  • Schwetlick, Kretzschmar: Numerische Verfahren für Naturwissenschaftler und Ingenieure, Leipzig (1991).