Module 2: Alessandro Sbrizzi (University Medical Center Utrecht)

Teaching assistent: Ruben Meijs (Mathematics, UU)

Module 1 (4 weeks): begin intro Matlab, then Chapter 5 (linear systems) and 7 (PageRank) from the online book by Cleve Moler (2011), Experiments with Matlab. We will use other materials as well.

Module 2 (4 weeks): Magnetic Resonance Imaging (MRI). Online material will become available soon via Alessandro Sbrizzi's ISC webpage.

- Day 1 (Monday February 3, 2020):
**Introduction Matlab**(Ch1 and Ch2)- Iterations
- Fibonacci sequence
- Life demos from .m files from the book
- Exercises Ch1: 1, 6, 9, 10, 15
- Exercises Ch2: 3, 4, 5, 6, 7, 8
- Today's slides : A quick introduction to Matlab, Johns Hopkins University, Computer Science Dept. 2007

- Day 2 (Thursday February 6, 2020):
**Matrix laboratory**(Ch4)- Matrices and transformations
- INVULLEN
- INVULLEN
- INVULLEN
- Exercises Ch4: 3, 4, 5, 8, 14
- Useful videos on linear algebra: Essence of linear algebra by 3Blue1Brown, a YouTube channel on animating mathematics.

- Day 3 (Monday February 10, 2020):
**NOG INVULLEN**- INVULLEN
- INVULLEN
- INVULLEN
- Today's slides: Solving Systems of Linear Equations by Greg Fasshauer, Illinois Institute of Technology. AANPASSEN
- Ch5 is a first introduction to solving linear systems. LU decomposition and related topics can be found in Linear equations, Chap. 2 of "Numerical Computing with MATLAB" by Cleve Moler, 2014. AANPASSEN
- Exercises Ch5: 2, 3, 4, 7. AANPASSEN
- Videos of the Khan Academy on nullspaces: Null space, NIEUWE VIDEO ZOEKEN

- Day 4 (Thursday February 13, 2020):
**NOG INVULLEN**- INVULLEN
- INVULLEN
- INVULLEN
- Exercises Ch7: 1, 3, 4, 6. AANPASSEN

- Day 5 (Monday February 17, 2020):
**INVULLEN**- INVULLEN
- INVULLEN
- INVULLEN
- Today's slides: Sparse Matrix Ordering AANPASSEN

- Day 6 (Thursday February 20, 2020):
**INVULLEN**- INVULLEN
- INVULLEN
- INVULLEN
- INVULLEN
- Today's slides: Sparse Linear Systems by ***. AANPASSEN

- Day 7 (Monday February 24, 2020):
**Working on project 1**- Discussion of the report to be written on the project.
- Working on the project: INVULLEN
- INVULLEN
- A detailed description of the project can be found on Blackboard.

- Day 8 (Thursday February 27, 2020):
**Continuing with project 1**- Start writing your first report. The deadline of this report is Monday March 9, 13.15 hour, i.e., at the start of module 2. Send your report for module 1 preferably through Blackboard (Assignment 1) to Paul Zegeling. If this fails, just as PDF by email to Paul Zegeling. It will be discussed individually with every student the week after.