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.


Lecture Notes

Now that lectures have gone virtual, I will be posting lecture notes here.

Lecture notes for March 16 and March 18.

Lecture notes for March 20 and March 23.

Lecture notes for March 25.

Lecture notes for March 27 and April 1.

Lecture notes for April 3 and April 6.

Lecture notes for April 10, 13, 15, 17, 22, 24..


Recordings

March 18

March 20

March 23.

March 25.

March 27.

March 30.

April 1. (The document camera wasn't recorded for this lecture, so I'm afraid this recording and previous one are basically useless.)

April 3.

April 6.

April 8.

April 10.

April 13.

April 15.

April 17.

April 22.

April 24.

April 27.

April 29.


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 §2.3: 1, 3(a), 9, 11, 12. §2.4: 4, 6, 9, 17. Mar. 6
#7 CANCELLED Mar. 20
#8 §2.5: 3a, 3b, 4, 5. §3.2: 1, 5(a), 5(c), 5(e), 21, 22. §3.3: 1, 2(d), 3(d). Mar. 27
#9 §4.1: 1, 5, 6, 9. §4.2: 2, 3, 5, 7, 25, 26. §4.3: 10, 11, 12, 15. Apr. 3
#10 §5.1: 3a, 3c, 8a, 8b, 11, 15a, 17. §5.2: 2a, 2b, 2c, 3a, 3b. §5.3: 2a, 2c, 6, 7. Apr. 10
#11 §6.1: 1, 3, 11, 12, 16. §6.2: 2a, 2i, 6, 13a, 13b, 13c. Apr. 17
#12 §6.3: 12, 13, 14, 24. §6.4: 6, 7b, 9. §6.5: 2a, 2b, 4, 7, 10. May 1

Grades

The grading scheme is: Homeworks 60%, Midterm 15%, Final 25%. Because emergencies sometimes arise, I will drop the two lowest homework grades from your homework average. Late homeworks will not be accepted at all. If you can't come to class on a Friday but still want credit for homework, just place it in my mailbox (MCS 123) sometime before that day's lecture.


MA 442 Home Page Jared Weinstein Department of Mathematics Boston University

This page was last updated: Jan. 14, 2020 by jsweinst@math.bu.edu