*what does it mean to "Review a lecture"? Well, you probably won't have understood everything that happened in the 50 minute period. It is very normal to feel confused and a little lost when material is first presented, which is why it is so important to invest time after class to reviewing and understanding the days' material. This booklet from Loughborough University shows you how to train yourself to "self-explain", to check if you understand mathematics lectures. Usually this involves rereading notes, redoing examples without the answer before you, trying homework problems, and explaining ideas to your classmates.

Remember: learning = doing. In order to get your brain to learn something, you generally have to make it do something active. Conversely, if you do something, you are learning! Mathematics courses are designed to keep us moving through material quickly -- even if it feels like you are just treading water, that is making progress. 

Our lecture notes are heavily based on the lecture notes provided by Dr David Barnes (with thanks).

• Lecture 1: Linear Equations and Gaussian Elimination. Handwritten notes (Dave) and Typed notes. Updated 18/09.

• Lecture 2: Backsubstitution and Matrices. Handwritten notes and Typed notes. Updated 18/09.

• Lecture 3: Matrix Equations. Handwritten notes and Typed notes. Updated 19/09.