# Theory

Goal:
Understanding vectors and fundamental vector and matrix algebra, including projections, rotations, reflections etc. Further, linear systems of equations and a first taste of the important concepts linear dependence/independence of vectors, and basis.

Understanding the fundamentals of complex numbers and their arithmetic, and the basic fact that any n'th degree polynomial equation has exactly n roots.

AMBS chapt 20, 22

Exercises:
20.1, 20.3, 20.4, 20.5, 20.6, 20.7, 20.8, 20.9, 20.10 (note misprint: ..a onto b onto (1,2) with.. should read ..b=(1,2) onto a with..), 20.11, 20.12 (see 20.13), 20.14, 20.15, 20.16, 20.17, 20.18, 20.19, 20.20, 20.21, 20.22, 20.25, 20.26, 20.27. Consider bold first, then the rest!

# Matlab

Goal:
Getting more familiar with the matlab syntax for vectors (lists) and matrices, and how to use matlab as an elementary vector and matrix calculator, including solving linear systems of equations.

Excercises:
20.23, 20.24

# Activity plan:

L=Lecture, S=Studio, G=Group work

L1: Special lecture (pdf), with preparation for understanding the particle-in-box model and Lambert Beers law. Lecturer: Stig Larsson

G1: Systems of linear equations. Intro to Gauss elimination method.
L2: Chapter 20.23-20.47. Lecturer: Georgious Foufas

L3: Complex numbers. Chapter 22. Lecturer: Axel Målqvist

S3: Continue with A6. Linear Systems

G2: Problems from the book.

/stig