Honors Linear Algebra - MA 442 - Spring 2020 Course Home Page

Course: MA 442, Honors Linear Algebra
Instructor: Jared Weinstein
Lectures: MWF 11:15 am - 12:05 pm in CAS 314
Office Hours: W 9:30 am - 11:00 am in MCS 238

Course Overview

Linear algebra is the study of vector spaces. The study of linear algebra begins with the determination of the solution set of a system of linear equations. Unlike in MA 242, there will be a focus on abstract vector spaces, rather than on Euclidean space. Topics include: Linear transformations, characteristic polynomials, diagonalization and Jordan normal form, inner products, and spectral theory.

Text

Linear Algebra, by Friedberg, Insel, and Spence, 4th ed., Prentice Hall. Some files relevant to this course can be found here.

Discussions

The course has time blocked out for a discussion section, but I have decided to replace this completely with 90 minutes of office hours each week. You are welcome to come by and discuss the assignments with me then.

Assignments and Exams

I will be assigning problem sets roughly every week which will usually be due on Fridays. The problem sets are posted in the table below. You are allowed and encouraged to work together on homework assignments, but you must hand in solutions which are written in your own words. Select problems from each problem set will be graded and returned to you the following week.

There is one midterm, on Monday, February 24, given in class.

The final exam will be held on Thursday, May 7, 12:00 pm -- 2:00 pm, location TBA. You must take the final exam to receive a passing grade.

Table of Assignments
HW Assignment Due
#1 §1.2: 1, 3, 8, 12, 13, 17, 18, 21. §1.3: 5, 8(a)-(c), 19, 20, 23 Jan. 31
#2 §1.4: 1, 2a, 2b, 8, 13, 15. §1.5: 1, 9, 10, 13a. Feb. 7
#3 §1.6: 1, 4, 12, 13, 15, 20, 26, 29a. §1.7: 3. Feb. 14
#4 §2.1: 1, 2, 3, 5, 6, 15, 16, 17, 21 Feb. 21
#5 §2.2: 1, 2(a)-(d), 4, 8, 15 Feb. 28
#6 §2.4: 4, 6, 9, 17. §2.5: 3a, 3b, 4, 5. §2.6: 2, 3, 5. Mar. 6
#7 §3.2: 1, 5(a), 5(c), 5(e), 6a, 14, 19, 21, 22. §3.3: 1, 2(d), 3(d). Mar. 20
#8 §4.1: 1, 5, 6, 9. §4.2: 2, 3, 5, 7, 25, 26. §4.3: 10, 11, 12, 15. Mar. 27
#9 §5.1: 3a, 3c, 8a, 8b, 11, 15a, 17. §5.2: 2a, 2b, 2c, 3a, 3b. Apr. 3
#10 §5.3: 2a, 2c, 6, 7. §6.1: 1, 3, 11, 12, 16. §6.2: 2a, 2i, 6, 13a, 13b, 13c. Apr. 10
#11 §6.3: 12, 13, 14, 24. §6.4: 6, 7b, 9. §6.5: 2a, 2b, 4, 7, 10. Apr. 17
#12 §7.1: 2a, 2d, 3b. §7.2: 1, 7, 19. Apr. 24