Math 419: Linear Spaces and Matrix Theory — Fall 2015


Class: Section 1: TTh 8:30 a.m.–10 a.m. in 1024 FXB; Section 2: TTh 12 noon–1:30 p.m. in 1311 EECS
Instructor: Michael Zieve   
Office Hours: TTh 10 a.m.–10:45 a.m. in 1024 FXB or 1133 FXB; M 5 p.m.–6:30 p.m. in 3835 East Hall

For the course logistics including details about grading and expected work, see the syllabus.

Lecture Schedule and Homework:

Note: you are responsible for doing the online homework, in addition to the problems assigned below. In the problems assigned below, you must show your work in order to receive full credit.
  1. Sep. 8, Tu.  Sections 1.1–1.2.  Homework: 1.1.32, 1.1.50 1.2.80, 1.3.46.   Due Sep. 15.
  2. Sep. 10, Th.  Sections 1.2–1.3.
  3. Sep. 15, Tu.  Sections 1.3–2.1.  Homework: 2.1.6, 2.1.34, 2.1.42, 2.1.44, 2.2.12, 2.2.14, 2.2.24, 2.2.30.   Due Sep. 22.
  4. Sep. 17, Th.   Section 2.2.
  5. Sep. 22, Tu.   Sections 2.2–2.3.  Homework: 2.3.48, 2.3.60, 2.3.64, 2.4.4, 2.4.30, 2.4.54, 2.4.82, 2.4.84.  Extra credit: 2.4.108.   Due Sep. 29.
  6. Sep. 24, Th.   Section 2.4.
  7. Sep. 29, Tu.   Section 3.1.  Homework: 3.1.12, 3.1.24, 3.1.32, 3.1.34, 3.2.18, 3.2.24, 3.2.36, 3.2.38.   Due Oct. 6.
  8. Oct. 1, Th.   Section 3.2.
  9. Oct. 6, Tu.   Section 3.3.  Homework: 3.3.24, 3.3.28, 3.3.36, 3.3.38, 3.3.68, 3.4.12, 3.4.30, 3.4.54, 3.4.62.   Due Oct. 13.
  10. Oct. 8, Th.   Section 3.4.
  11. Oct. 13, Tu.   Section 4.1.  Homework: 4.1.2, 4.1.4, 4.1.10, 4.1.30, 4.1.40, 4.2.22, 4.2.32, 4.2.60, 4.2.68, 4.2.74.   Due Oct. 22.
  12. Oct. 15, Th.   Section 4.2.
  13. Oct. 22, Th.   Review for midterm.
  14. Oct. 27, Tu.   Midterm.
  15. Oct. 29, Th.   Section 4.3.
  16. Nov. 3, Tu.   Sections 5.1–5.2.  Homework: 5.1.40–5.1.46, 5.2.14, 5.2.32.   Due Nov. 10.
  17. Nov. 5, Th.   Sections 5.1–5.2.
  18. Nov. 10, Tu.   Section 5.3.  Homework: 5.3.22, 5.3.34, 5.3.56, 5.3.60, 5.4.2, 5.4.25, 5.4.28, 5.4.32, 5.4.36; Due Nov. 17.
  19. Nov. 12, Th.   Section 5.4.
  20. Nov. 17, Tu.   Sections 6.1–6.2.  Homework: 6.2.20, 6.2.46, 6.3.2, 6.3.12, 6.3.26, 7.1.14, 7.1.36, 7.1.38; Due Nov. 24.
  21. Nov. 19, Th.   Sections 6.3–7.1.
  22. Nov. 24, Tu.   Section 7.2.  Homework: 7.2.12, 7.2.48, 7.3.10, 7.3.20, 7.3.36; Due Dec. 3.
  23. Dec. 1, Tu.   Section 7.3.
  24. Dec. 3, Th.   Section 7.4.   Homework: there is online homework due Thursday Dec. 10.
  25. Dec. 8, Tu.   Sections 7.5, 8.1 and 8.3 [note: section 8.3 will not be covered on the final exam, and the only portion of 8.1 on the final is the knowledge of which matrices admit an orthonormal eigenbasis, and the method for producing an orthonormal eigenbasis when one exists]
  26. Dec. 10, Th.   Review for final exam.
  27. Dec. 22, Tu.   Final exam.