Matrixrekenen (IPC017), lectures, 1st quarter, Autumn 2017

This page contains specific information about the Autumn 2017 course and lectures (for general information, see IC studiegids). Please don't forget to register in blackboard for this course, in order to receive email announcements. However, all relevant course information will be provided here (and not in blackboard).

 

All students should register for a werkcollege group by Wednesday 9/6 at noon. Do this on Blackboard.

For exercises, see the: exercise page.

Prerequisites consist of (secondary) school mathematics. It is your own responsability to be properly prepared. You can find an overview of the relevant topics in, for example:

Course material consists of:

Lectures will be given by Aleks Kissinger in English. All course materials will be in English, with the exception of those mentioned above.

Werkcollege's take place every Friday, from September 8 until October 27.

Unless otherwise stated, work should be handed on every Monday by 4pm sharp to the box of your teacher on the ground floor of Mercator 1. Exercises will generally be marked and returned to you at the werkcollege on Friday. The werkcollege's are:

Lectures and slides (topics subject to change)

  1. Lecture 1, Tuesday 5/9
    • Topic: introduction to linear equations, solving systems of linear equations, matrix and augmented matrix, Gauss-Jordan-elimination
    • Slides: pdf
  2. Lecture 2, Tuesday 12/9
    • Topic: solutions of a set of homogeneous equations, pivot, (in)consistency, vectors, (in)dependence of vectors
    • Slides: pdf
  3. Lecture 3, Tuesday 19/9
    • Topic: vector spaces, basis and dimension, linear maps and matrices, matrix operations: addition, scalar multiplication, transpose, matrix-vector multiplication.
    • Slides: pdf
  4. Lecture 4, Tuesday 26/9
    • Topic: bases, representing vectors and linear maps as matrices
    • Slides: pdf
  5. Lecture 5, Tuesday 3/10
    • Topic: Matrix multiplication and inverses
    • Slides: pdf
  6. Lecture 6, Tuesday 10/10
    • Topic: Determinants and transformation of bases
    • Slides: pdf
  7. Lecture 7, Tuesday 17/10
    • Topic: Eigenvalues and eigenvectors, iterated matrix multiplication, matrix exponents.
    • Slides: pdf
  8. Lecture 8, Tuesday 24/10
    • Topic: Length of a vector, inner product, angle and distance between vectors, orthogonality and orthonormal bases.

Grading

Your final grade for this course will be composed from your assignment grade A and the (written) exam grade E:

If you fail, you can do a retry of the written exam on January 3. If you fail once again, you will have to redo the whole course (including exercises) next year.

All students who have already done the exam for this course twice, unsuccesfully, will be required to do the following before they obtain the right to do the exam again: