Course: MA442, Honors Linear Algebra
Instructor: Jared Weinstein
Lectures: MWF 11:00 am - 12:00 pm in SMG 302 (the original location!)
Discussion: W 10:00 am - 11:00 am in MCS B19
Office Hours: W 1:30 pm - 3:00 pm and F 1:30 pm - 3:00 pm in MCS 227

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

These will be used for going over lecture material and assignments in a way that is less structured than the lectures. You will be able to raise questions and see examples worked out in detail. Attendence of discussions is highly recommended.

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.

Friday, Feb. 22: Here is the midterm. It is due Friday, Mar. 1. You are not allowed to work together on the midterm.

Friday, Mar. 1: Here is the solution set to the midterm.

The final exam will be given on Thursday, May 9, 12:30 pm - 2:30 pm in SMG 302. Here are some sample questions. You must take the final to receive a passing grade in the class.

Friday, May 9: Here is the solution set to the final exam.

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