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
Minimum reading: 20.23-47; 22
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!
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.
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
S1: Vectors and Matrices
G1: Systems of linear equations. Intro to Gauss elimination method.
L2: Chapter 20.23-20.47. Lecturer: Georgious Foufas
S1: Linear Systems
L3: Complex numbers. Chapter 22. Lecturer: Axel Målqvist
S3: Continue with A6. Linear Systems
G2: Problems from the book.