## Imperial College London (CO-145)

The course aims to make students confident in using basic mathematical techniques for later year courses in Computing. The course is co-taught by Mahdi Cheraghchi and Marc Deisenroth.

### Syllabus

- Sequences, Series and Power Series (~8 lectures)
- Linear Algebra (~12 lectures)
- Solving Linear Equation Systems
- Groups
- Matrices
- Linear Mappings
- Basis and Dimension
- Kernel and Nullspace
- Determinants
- Eigenvalues, Eigenvectors, Eigenspaces
- Diagonalization
- Scalar Products
- Affine Mappings
- Projections
- Rotations

### Lectures

- Mondays, 16:00 – 18:00 (LT 311)
- Fridays, 11:00 – 13:00 (LT 308)

### Coursework

This year, coursework will be submitted electronically in pdf format. The submission deadline is Friday, 10:00. We provide a LaTeX template for a full electronic submission (preferred), but you can also scan in your hand-written answers.

Coursework template (LaTeX)

### Course Support Leader

Pedro Mediano

### Introduction Lecture

October 6, 14:00 – 16:00 (LT 308)

### Tests

- Diagnostic Exercise: October 6, 15:00 (LT 308)
- Christmas Test: December 2, 16:00 (preliminary date)

### Course Material

- Summary of useful mathematical tools (prerequisites, by J Bradley and D de Jager)
- Lecture notes
- Gilbert Strang: Introduction to Linear Algebra. Wellesley-Cambridge Press, 2003.
- Jörg Liesen and Volker Mehrmann: Linear Algebra. Springer, 2015.

### Additional Resources

- Linear Algebra exercises (by R Beezer, University of Puget Sound)
- Linear Algebra exercises (by J Erdman, Portland State University)
- Linear Algebra notes and exercises (by D Cherney, T Denton, R Thomas and A Waldron, UC Davis)
- LaTeX tutorial 1
- LaTeX tutorial 2
- LaTeX Wiki
- Overleaf: Online LaTeX editor