math 201: linear algebra
- Instructor: Kyle Ormsby
- Syllabus
- Course meetings: MWF 9-9:50 in Lib 340
- Drop-in hours: M 15-16 & Th 13-14 in Lib 306
- Zulip channel
- Gradescope
- Course assistant: Pranay Pingali
- Problem session: MTh 6-7pm in Lib 204
- Drop-in tutoring: SuMWTh 19-21 in Lib 204
week 1
Wednesday 4 September: Welcome & warmup
Friday 6 September: Solving systems of linear equations, One.I, notes, demo
week 2
Monday 9 September: Reduced echelon form, One.III, notes, demo
Wednesday 11 September: Vector spaces, One.II.1, Two.I.1, notes
Friday 13 September: Subspaces & spanning sets, Two.I.2, HW due (change .pdf to .tex in the url to get the source code!), notes
week 3
Monday 16 September: Linear independence, Two.II.1, notes, demo
Wednesday 18 September: Bases, Two.III.1, notes
Friday 20 September: Dimension, Two.III.2, HW due, notes
week 4
Monday 23 September: Condorcet’s voting paradox, Two.Topic: Voting Paradoxes, Exam 1 distributed via Zulip, notes
Wednesday 25 September: Row space & column space, Two.III.3, Exam 2 due, notes
Friday 27 September: Linear transformations, Three.II.1, notes, demo
week 5
Monday 30 September: Image, kernel, & rank-nullity, Three.I.1-2, Three.II.2, notes
Wednesday 2 October: Isomorphisms, Three.I.1-2, Three.II.2, notes
Friday 4 October: Matrices & linear transformations I, One.II.1, Three.III.2, HW due, notes
week 6
Monday 7 October: Matrices & linear transformations II, Three.III.2, notes
Wednesday 9 October: Matrix inversion, Three.IV.4, notes
Friday 11 October: Change of basis, Three.V.1-2, HW due, notes
week 7
Monday 14 October: Determinants, Four.I.1-2, notes
Wednesday 16 October: Determinants & transpose, Four.I.1-2, notes
Friday 18 October: Permutation expansion, Four.I.3, HW due, notes, video
fall break
week 8
Monday 28 October: Laplace expansion & $\exists!\det$, Four.III.1, notes
Wednesday 30 October: Determinants & volume, notes
Friday 1 November: Eigenvectors & eigenvalues, Five.II.3, HW due, notes
week 9
Monday 4 November: Diagonalization, Five.II.3, notes
Wednesday 6 November: Linear differential equations (optional), notes
Friday 8 November: Algebraic & geometric multiplicity, HW due, notes
week 10
Monday 11 November: Walks on graphs, Exam 2 distributed via Zulip, notes
Wednesday 13 November: Inner product spaces, Exam 2 due via Gradescope, notes
Friday 15 November: Length, projection, & angles, notes
week 11
Monday 18 November: Gram-Schmidt orthonormalization, notes
Wednesday 20 November: Orthogonal complements & projections, notes, desmos
Friday 22 November: Least squares, HW due, notes, demos
week 12
Monday 25 November: Principal component analysis, presentation proposal due (google form on Zulip), notes
Wednesday 27 November: Happy Thanksgiving! 🦃
Friday 29 November: Thanksgiving holiday
week 13
Monday 2 December: Presentation prep
Wednesday 4 December: Presentation prep
Friday 6 December: Presentations, HW due
week 14
Monday 9 December: Presentations
Wednesday 11 December: Presentations
Friday 13 December: Review session 2-3pm in Lib 340
finals week
Monday 16 December: Final exam distributed
Wednesday 18 December: Final exam due