kyle ormsby

fall 2024

math 201 · linear algebra

Linear systems, vector spaces, bases and dimension, and the maps between them.

syllabus
Syllabus
meetings
MWF 9-9:50 in Lib 340
office hours
M 15-16 & Th 13-14 in Lib 306
discussion
Zulip channel
submissions
Gradescope
course assistant
Pranay Pingali
problem session
MTh 6-7pm in Lib 204
drop-in tutoring
SuMWTh 19-21 in Lib 204

jump to this week ↓43 meetings

week 1
wed sep 4
  • Welcome & warmup
fri sep 6
  • Solving systems of linear equations, One.I
  • linksnotesdemo
week 2
mon sep 9
  • Reduced echelon form, One.III
  • linksnotesdemo
wed sep 11
  • Vector spaces, One.II.1, Two.I.1
  • linksnotes
fri sep 13
  • Subspaces & spanning sets, Two.I.2
  • linksHW due (change .pdf to .tex in the url to get the source code!)notes
week 3
mon sep 16
  • Linear independence, Two.II.1
  • linksnotesdemo
wed sep 18
  • Bases, Two.III.1
  • linksnotes
fri sep 20
week 4
mon sep 23
  • Condorcet's voting paradox, Two.Topic: Voting Paradoxes, Exam 1 distributed via Zulip
  • linksnotes
wed sep 25
  • Row space & column space, Two.III.3, Exam 2 due
  • linksnotes
fri sep 27
  • Linear transformations, Three.II.1
  • linksnotesdemo
week 5
mon sep 30
  • Image, kernel, & rank-nullity, Three.I.1-2, Three.II.2
  • linksnotes
wed oct 2
  • Isomorphisms, Three.I.1-2, Three.II.2
  • linksnotes
fri oct 4
  • Matrices & linear transformations I, One.II.1, Three.III.2
  • linksHW duenotes
week 6
mon oct 7
  • Matrices & linear transformations II, Three.III.2
  • linksnotes
wed oct 9
  • Matrix inversion, Three.IV.4
  • linksnotes
fri oct 11
week 7
mon oct 14
  • Determinants, Four.I.1-2
  • linksnotes
wed oct 16
  • Determinants & transpose, Four.I.1-2
  • linksnotes
fri oct 18
week 8
mon oct 28
  • Laplace expansion & , Four.III.1
  • linksnotes
wed oct 30
  • Determinants & volume
  • linksnotes
fri nov 1
  • Eigenvectors & eigenvalues, Five.II.3
  • linksHW duenotes
week 9
mon nov 4
  • Diagonalization, Five.II.3
  • linksnotes
wed nov 6
  • Linear differential equations (optional)
  • linksnotes
fri nov 8
week 10
mon nov 11
  • Walks on graphs, Exam 2 distributed via Zulip
  • linksnotes
wed nov 13
  • Inner product spaces, Exam 2 due via Gradescope
  • linksnotes
fri nov 15
  • Length, projection, & angles
  • linksnotes
week 11
mon nov 18
  • Gram-Schmidt orthonormalization
  • linksnotes
wed nov 20
  • Orthogonal complements & projections
  • linksnotesdesmos
fri nov 22
week 12
mon nov 25
  • Principal component analysis, presentation proposal due (google form on Zulip)
  • linksnotes
wed nov 27
  • Happy Thanksgiving! 🦃
fri nov 29
  • Thanksgiving holiday
week 13
mon dec 2
  • Presentation prep
wed dec 4
  • Presentation prep
fri dec 6
week 14
mon dec 9
  • Presentations
wed dec 11
  • Presentations
fri dec 13review
  • Review session 2-3pm in Lib 340
finals week
mon dec 16final
  • Final exam distributed
wed dec 18final
  • Final exam due