Matrix Calculation (IPC017), lectures, 1st quarter, Autumn 2018

This page contains specific information about the Autumn 2018 course and lectures (for general information, see the entry in the prospectus). 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 Thursday 9/6 at 17:00. Do this on Brightspace.

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 on Fridays 13:30-15:15, from September 8 until October 19.

Unless otherwise stated, work should be handed on every Tuesday by 16:00 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)

Below, you can find PDF files of all the slides and Jupyter notebooks used in class. To run the notebooks, you need to install Jupyter and pythreejs. Then, make sure vecs.py is in the same folder as the notebook you wish to run.

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

Grading

Your final grade F 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 25. If you fail once again, you will have to redo the whole course (including exercises) next year.