Looking for material on courses I taught at Cal Poly, Oxford, or CTYI? See my 'Previously Taught' page.
General Information:
A level 2 course in linear algebra to develop theory and methods needed in subsequent modules.
Welcome slides (Monday) and Tutorial Information slides (Thursday).
Suggested Routine:
Before Monday's lecture. Have a read over the planned lecture notes (on Canvas).
After Monday's lecture. Review* the lecture. See can you use the notes to answer questions you have.
Tuesday/Wednesday. Have a go at the homework. Attend your tutorial, work with your classmates, and ask questions. Read over the planned lecture notes (on Canvas) for Thursday.
After Thursday's lecture. Review* the lecture. Submit your homework. Read over the planned lecture notes (on Canvas) for Friday.
After Friday's lecture. Review* the lecture, try to square away what you've learned this week. Have a good weekend!
*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.Â
Lecture 1: Linear Equations and Gaussian Elimination. Handwritten notes (Dave) and Typed notes.
Lecture 2: Backsubstitution and Matrices. Handwritten notes and Typed notes.