MAS 4105 — 3247 (14242) home page, Fall 2024

Tentative, Very Approximate Weekly Schedule of Lectures

This schedule is just my (Dr. Groisser's) best guess and hope, as of the start of the semester, of what chapters or sections of the textbook will be covered when. I do not teach large-lecture, cookie-cutter courses. Exactly what I cover, and when, depends on many factors, including but not limited to students' preparation, students' questions, and the eventual need to go through certain topics more slowly than I might estimate at the beginning of the semester.

    Therefore I cannot give an exact schedule of weekly topics, let alone precise assignments, before the semester starts. I add to the then-current homework assignment after almost every class, and update the assignment on the homework page.

However, you can get a good approximation of what I am likely to assign by looking at my Fall 2023 homework page. If you do that, keep in mind that the weeks "break" differently this year (e.g. last year Week 1's first class was on a Wednesday, while this year it's on a Friday) and that this semester is shorter than last fall's. (Because of the new Thanksgiving-week holidays added to the UF calendar, this fall is scheduled to be the shortest UF semester ever. Usually, fall semesters have had 41 or 42 scheduled MWF class days, occasionally going as low as 40 or as high as 43. This year there are 39 scheduled MWF class days and 14 scheduled Tuesdays, some of which could end up cancelled because of storms. Last fall there were 41 scheduled MWFs and 15 scheduled Tuesdays; we wound up with only 40 MWF and 14 Tuesday classes because of UF's storm-related closures.)
Last updated Sun Aug 18 14:49 EDT 2024

week
of
semester
dates book sections
Week 1 F 8/23 1.1 (Introduction) begun

Assignments (daily): readings and exercises detailed on homework page

Week 2 M 8/26 – F 8/30 1.1 concluded; 1.2 (vector spaces); 1.3 (subspaces) begun

Assignments (daily): readings and exercises detailed on homework page

Week 3 W 9/4 – F 9/6
    (M 9/2 is Labor Day)
1.3 concluded; 1.4 (linear combinations)

Assignments (daily): readings and exercises detailed on homework page

Week 4 M 9/9 – F 9/13 1.5 (linear dependence/independence); 1.6 (bases; dimension)

Assignments (daily): readings and exercises detailed on homework page

Week 5 M 9/16 – F 9/20 2.1 (linear transformations [first defs & properties]); 2.2 (matrix rep of a lin transf)

Assignments (daily): readings and exercises detailed on homework page

Week 6 M 9/23 – F 9/27 2.3 (composition of lin transfs; matrix mult); 2.4 (invertibilty and isomorphisms), possibly just begun))
(Wed. 9/25 is a possible date for Exam 1)

Assignments (daily): readings and exercises detailed on homework page

Week 7 M 9/30 – F 10/4 2.4 concluded (if not done yet); 2.5 (change-of-coord matrix)
(Wed. 10/2 is a possible date for Exam 1)

Assignments (daily): readings and exercises detailed on homework page

Week 8 M 10/7 – F 10/11 3.1 (Elementary matrix ops and elem matrices), 3.2 (matrix ranks and inverses); 3.3 (systems of linear equations— theoretical aspects—theoretical aspects) begun

Assignments (daily): readings and exercises detailed on homework page

Week 9 M 10/14 – W 10/16
    (F 10/18 is Homecoming break)
3.3 concluded; 3.4 (systems of linear equations— computational aspects) begun

Assignments (daily): readings and exercises detailed on homework page

Week 10 M 10/21 – F 10/26 3.4 concluded; 4.1 (\( 2\times 2\) determinants); 4.2 \(n\times n determinants\)

Assignments (daily): readings and exercises detailed on homework page

Week 11 M 10/28 – F 11/1 4.3 (properties of determinants); 4.4 (determinants: summary), possibly just begun
(Wed. 10/30 is a possible date for Exam 2)

Assignments (daily): readings and exercises detailed on homework page

Week 12 M 11/4 – F 11/8 4.4 concluded (if not done yet); 5.1 (eigenvalues and eigenvectors)
(Wed. 11/8 is a possible date for Exam 2)

Assignments (daily): readings and exercises detailed on homework page

Week 13 W 11/13 – F 11/15
    (M 11/11 is Veterans' Day)
5.2 (diagonalizability), 6.1 (inner products and norms) begun

Assignments (daily): readings and exercises detailed on homework page

Week 14 M 11/18 – F 11/22 6.1 concluded; 6.2 (Gram-Schmidt orthogonalization; orthog complements); 6.3 (adjoint of lin operator on an inner-prod space); 6.4 (self-adjoint ops) brief treatment, begun

Assignments (daily): readings and exercises detailed on homework page

Week 15 M 12/2 – W 12/4
     (W 12/4 is last day of classes)
6.5 (orthog transfs and matrices), brief treatment; 6.6 (Spectral Theorem), brief treatment

Assignments (daily): readings and exercises detailed on homework page


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