Linear Algebra & Geometry II [2/2] (OCW)

maths

Description

In this OCW course the lecture Linear Algebra and Geometry II held in SoSe 2017 is presented in structure, construction and sequence. This lecture is one of the four basic lectures that are compulsory for all first year students of mathematics (the other lectures are Linear Algebra and Geometry I and Analysis I and II). This OCW course gives an insight into the course and the structure of the lecture.

  • In the Moodle course you will find exercise sheets, video recordings and exams + sample solutions of the lecture.

 

Goals

An insight into the structure and topics of the lecture Linear Algebra and Geometry II.
In addition, the OCW course is intended to illustrate the structure and course of a lecture in an exemplary manner and can help in brainstorming one's own teaching concept or in literature research on homework.

Target group: Students, prospective students & freshmen (1st semester) of mathematics

Contents:

  • Course description & requirements of the lecture
  • Lecture contents/topics, video recordings
    • on the following topics:
      Repetition determinant,
      Values and vectors,
      Own rooms,
      Characteristic polynomial,
      Zeroing polynomials,
      Similarity,
      Diagonalizability,
      Direct sums,
      Trigonizability,
      Trigonizability and flags,
      Main room disassembly,
      Jordan normal form,
      Minimum polynomial,
      Euclidean Geometry & Spaces,
      Orthonormal bases, isometrics,
      Normal shapes for orthogonal and symmetrical matrices,
      Bilinear forms,
      Quotient spaces,
      Dual rooms,
      Transfer products
  • Exercises in Moodle and as PDF
  • Bibliography
  • Old tests

Author

Prof. Dr. Markus Reineke

Department

Mathematics

Format

OpenCourseWare (OCW)

License

Copyright (C) Prof. Dr. Markus Reineke

Date of publication

Mon, 13. Aug 2018

Language of content

German
English