MATH105 Linear Algebra
Resources
- General course information
- PDF version of notes
- Assessed question sheet 1
- Assessed question sheet 2
- Assessed question sheet 3
- Assessed question sheet 4
- End of module assessment
- PDF of the questions from Moodle quizzes (Note: there may be small differences between what you read here and what you see on-screen due to randomisation in the questions, so take care!)
- Workshop sheet 1
- Workshop sheet 2
- Workshop sheet 3
- Workshop sheet 4
- Workshop sheet 5
- Further practice questions
Guide
This module is flipped: there are two in-person Live Sessions each week, where we discuss the material from the videos/notes relevant to that session. In particular, you need to watch or read this material before the session. The notes/videos listed below are grouped by session; each video states its duration (e.g. ) and each session summarises the total duration of videos you need to watch for that session. Each video is embedded in an HTML page containing the notes (which are basically a transcript of the video). You can watch the videos or read the notes as you prefer. The "accessible versions" of the notes are intended to be read by a screenreader (all the maths is written out the way you would read it) - unless you are using a screenreader they will probably not be much use to you.
Week 1, accessible version
Session 1
- 01. Matrices, accessible version
- 02. Matrices: examples, accessible version
- 03. Bigger matrices, accessible version
Session 2
Week 2, accessible version
Session 1
- 09. Dot products, accessible version
- 10. Dot product 2: transposition, accessible version
- 11. Dot product 3: orthogonal matrices, accessible version
- 12. Rotations, accessible version
Session 2
Week 3, accessible version
Session 1
- 17. Geometric viewpoint on simultaneous equations, 1, accessible version
- 18. Geometric viewpoint on simultaneous equations, 2, accessible version
- 19. Subspaces, accessible version
- 20. Inverses, accessible version
- 21. Inverses: examples, accessible version
Session 2
Week 4, accessible version
Session 1
- 27. Further properties of determinants, accessible version
- 28. Cofactor expansion, accessible version
- 29. Geometry of determinants, 1, accessible version
- 30. Geometry of determinants, 2, accessible version
- OPTIONAL: Determinants and volumes, revisited, accessible version
Session 2
Week 5, accessible version
Session 1
- 35. Eigenapplications: differential equations, accessible version
- 36. Eigenapplications: ellipsoids, accessible version
- 37. Eigenapplications: dynamics, accessible version