Welcome to Math 3333: Linear Algebra I, this Spring 2022!
For the most up-to-date content, please refresh the page at each visit!
Tentative Course Schedule
(Credit: Slides were originally written by Greg Muller and Karen Seyffarth, used with thanks)
Week 17 May 9 - May 13 (Finals week)
The final exam time has been scheduled by the university, see One.
Week 16 May 2 - May 6 (Exam prep period)
- Live lecture on linear transformation for general vector spaces (basically everything generalizes). There is no reading hw associated to this.
- Review: wk16 wksheet review + answer key, don’t turn in
- See pictures of week 16 board work (Canvas login required)
Live Lecture | PDF notes |
Live lecture 18 Linear transformations (revisited) | lecture18.pdf |
Week 15 Apr 25 - Apr 29
- Start and finished wk15 wksheet, except Q8(d); go over questions in read16ab, 17ab
- See pictures of week 15 board work (Canvas login required)
Day | Lecture video | PDF notes |
M | 17a Bases and dimension for vector spaces (part a) | lecture17a.pdf |
W | 17b Bases and dimension for vector spaces (part b) | lecture17b.pdf |
Week 14 Apr 18 - Apr 22
- !Wed: Exam 2!, see Exam 2 study guide
- Finished wk14 wksheet; went over questions in read16a.
Day | Lecture video | PDF notes |
M | Review | Exam 2 study guide |
W | Exam 2 | Exam 2 study guide |
F | 16b Vector spaces (subspaces) | lecture16b.pdf |
Week 13 Apr 11 - Apr 15
!Live presentation during class on Wednesday!
- Start wk14 wksheet
- See pictures of week 13 board work (Canvas login required)
Day | Lecture video | PDF notes |
M | 15b Eigenbases (finding eigenbases) | lecture15b.pdf |
W | 15c Eigenbases (diagonalization) | lecture15c.pdf |
F | 16a Vector spaces | lecture16a.pdf |
Week 12 Apr 4 - Apr 8
- This week, watch or read lecture 14a, 14b, 15a. Lecture videos are here. Links to PDF lecture notes are below.
- Work on the last question on wk12 wksheet
- Start and finish wk13 wksheet
- No pictures of board work during week 12 (ask a classmate if you miss class)
Day | Lecture video | PDF notes |
M | 14a Basis algorithm for the kernel of a matrix | lecture14a.pdf |
W | 14b Rank and dimension (no row reduce) | lecture14b.pdf |
F | 15a Eigenbases | lecture15a.pdf |
Week 11 Mar 28 - Apr 1
- This week, watch or read lecture 12b, 13a, 13b. Lecture videos are here. Links to PDF lecture notes are below.
- Mon: Finish wk11 wksheet
- Wed: quiz + prepare and practice presentation during class
- Friday: First three problems on wk12 wksheet
- See pictures of week 11 board work (Canvas login required)
Day | Lecture video | PDF notes | activity |
M | 12b Spanning Sets and Linear Independence | lecture12b.pdf | |
W | 13a Bases | lecture13a.pdf | THIRD QUIZ, see quiz study guide, time to practice team presentation |
F | 13b Bases (basis computations and dimensions) | lecture13b.pdf |
Week 10 Mar 21 - 25
- This week, watch or read lecture 11a, 11b, 12a. Lecture videos are here. Links to PDF lecture notes are below.
- Finish wk10 wksheet.
- Start wk11 wksheet.
- See pictures of week 10 board work (Canvas login required)
Day | Lecture video | PDF notes |
M | 11a Subspaces | lecture11a.pdf |
W | 11b Subspaces, how to write proofs | lecture11a.pdf |
F | 12a Spanning sets | lecture12a.pdf |
Week 9 Mar 14 - 18 Spring break
Week 8 Mar 7 - 11
See Canvas > Assignments and Gradescope for deadlines.
- Wed: Exam 1
- This week, watch or read lecture 10a and 10b. Lecture videos are here. Links to PDF lecture notes are below.
- Do Q8 of wk07 wksheet on Mon
- Did first half of wk10 wksheet on Fri. There are no wksheets labeled 08, 09 because of exam week and spring break.
M | 10a Linear transformations | lecture10a.pdf |
W | Exam 1 | Exam 1 study guide |
F | 10b Linear transformations, part b | lecture10b.pdf |
Week 7 Feb 28 - Mar 4
- This week, watch or read lecture 9a, 9b. Lecture videos are here. Links to PDF lecture notes are below.
- Continue wk07 wksheet on Wed and Fri
- See pictures of week 7 board work (Canvas login required)
Day | Lecture video | PDF notes | worksheet due | activity |
---|---|---|---|---|
M | 8b Characteristic polynomials | lecture8b.pdf | wk06 wksheet due video: introduce your team slides and videos due | SECOND QUIZ, see quiz study guide, time to work on reading the materials for team project |
W | 9a Vector geometry | lecture9a.pdf | ||
F | 9b Vector geometry with matrices | lecture9b.pdf |
Week 6 Feb 21 - Feb 25
- Prior to class, watch or read lecture 7b, 8a, 8b. Lecture videos are here. Links to PDF lecture notes are below.
- Finish wk06 wksheet on Monday and Wednesday
- Start wk07 wksheet on Wednesday/Friday
Day | Lecture video | PDF notes | Reading hw due | worksheet due | activity |
---|---|---|---|---|---|
M | 7b Eigenvectors | lecture7b.pdf | a few minutes to finalize plan for Wed: introduce your team | ||
W | 8a Characteristic polynomials | lecture8a.pdf | read 7b, 8a, 8b due Wed | Second quiz Week 6 QUIZ (canceled), present and record: introduce your team (class activity) | |
F | snow day |
Suggested practice for lecture 8a (finding eigenvalues):
- Section 3.3 Exercises 1(b,d,f,h) and 3. In Exercise 3.31, you don’t need to find the matrix P.
Week 5 Feb 14 - Feb 18
- Prior to class, watch or read lecture 6a, 6b, 7a. Lecture videos are here. Links to PDF lecture notes are below.
- Survey: forming teams due on Wed
You need to come to class this Friday to a team (let me know if you cannot be in class). There will be an extra credit activity.
- During and after class, work on wk06 wksheet.
Day | Lecture video | PDF notes | Reading hw due | worksheet due | activity |
---|---|---|---|---|---|
M | 6a Determinants | lecture6a.pdf | |||
W | 6b Determinants, second part | lecture6b.pdf | read 6a, 6b, 7a due | wk05 wksheet due | |
F | 7a Cofactors (and how they relate to determinants and inverses) | lecture7a.pdf | Form a presentation team during class! Work on slides for next Wed |
Suggested practice for lecture 6 (check with solution manual):
- Section 3.1, Exercise 5
- Section 3.2, Exercises 2(b,d,f), 6(b)
Suggested practice for lecture 7a (cofactors):
- Section 3.1 (The Cofactor expansion, pg 156), Exercise 1(b,d,f,h,j,l,n,p) and 26
Week 4. Feb 7 - 11
- Prior to class, watch or read lecture 4b, 5a, 5b. Lecture videos are here. Links to PDF lecture notes are below.
- See pictures of week 4 board work (Canvas login required)
- Preliminary Exploration due on Wed
Day | Lecture video | PDF notes | Reading hw due | worksheet due | quiz or exam |
---|---|---|---|---|---|
M | 4b Matrix multiplication (properties of matrix arithmetic) | lecture4b.pdf | |||
W | 5a Matrix inverses | lecture5a.pdf | read 4b,5a,5b due | wk04 wksheet due | First quiz Week 4 QUIZ, see quiz study guide |
F | 5b Matrix inverses: algorithm | lecture5b.pdf |
Suggested practice for lecture 5a, 5b:
- Textbook Section 2.4 (inverses), pg 91-92, 94 Exercises 1, 4, 6, and 28
Week 3. Jan 31 - Feb 4
- WED AND FRI CLASSES ARE ONLINE. SEE ZOOM LINK ON Linear Algebra Room (Canvas login required)
- See (filled in) class notes for week 3, Wed, Feb 2
- Prior to class, watch or read lecture 3a, 3b, 4a. Lecture videos are here. Links to PDF lecture notes are below.
- During and after class, work on wk04 wksheet (due next Wed).
- See pictures of week 3 board work (Canvas login required)
Day | Lecture video | PDF notes | Reading hw due | worksheet due | quiz or exam |
---|---|---|---|---|---|
M | 3a Matrices and vectors | lecture3a.pdf | |||
W | 3b Matrices and vectors: matrix-vector multiplication | lecture3b.pdf | read 3a,3b,4a due | wk03 wksheet due | No quiz this week |
F | 4a Matrix multiplication | lecture4a.pdf |
Lecture 3a, 3b loosely follow the textbook section 2.1, 2.2. Suggested practice (see Student Solution Manual):
- Section 2.1, Exercises 2bdfh, 3bdfh, 8b, and 16b. (Note: A matrix is called symmetric if it is equal to its transpose)
- Section 2.2, Exercises 2b and 10bdfh
Lecture 4a, 4b loosely follow the textbook section 2.3. Suggested practice (see Student Solution Manual):
- Section 2.3, pg 77-78 Exercises 3, 6, 16
Week 2. Jan 24 - Jan 28
- Prior to class, watch or read lecture 1a, 2a, 2b. Lecture videos are here. Links to PDF lecture notes are below.
- During and after class, work on wk02 wksheet (due on Wed) and wk03 wksheet, due next Wed.
- See pictures of week 2 board work (Canvas login required)
Day | Lecture video | PDF notes | Reading hw due | worksheet due | quiz or exam |
---|---|---|---|---|---|
M | 1b Systems of lin eqs (con’t) | lecture1b.pdf | |||
W | 2a Gaussian elimination | lecture2a.pdf | read1a,1b,2a,2b due | wk02 wksheet due | No quiz yet |
F | 2b Gauss. elmn. (rank, homogeneous system) | lecture2b.pdf |
Lecture 1a, 1b, 2a, 2b loosely follow the textbook section 1.1 - 1.2. For extra practice, do …
- Section 1.1, Exercises 7, 9, 11, and 14
- Section 1.2, Exercises 3, 7, and 16
Week 1. Jan 18 - Jan 21
Prior to Fri class, watch or read lecture 1a Systems of linear equations: video link, PDF lecture notes: lecture1a.pdf
During and after class, work on wk02 wksheet. See pictures of week 1 board work (Canvas login required)
Day | Lecture video | PDF notes | Reading hw due | worksheet due | quiz or exam |
---|---|---|---|---|---|
W | First day of class | ||||
F | 1a Systems of linear equations | lecture1a.pdf | read0 due | wk01 wksheet (practice)due |