M308 N Matrix Algebra

Autumn 2019

Course Summary

This is a first course in linear algebra. It is truly surprising how ubiquitous linear algebra is throughout math and sciences: from cryptography to graph theory, from machine learning to research mathematics. Whether you are an aspiring computer scientist, mathematician, physicist, biologist or engineer, the techniques we will learn in this class are a fundamental component of your studies. Topics include solving linear systems of equations, span and linear independence of vectors, linear transformations, inverses, subspaces, change of basis, the determinant function, eigenvalues and eigenvectors, and diagonalization.

Information

Syllabus

Instructor: Josh Southerland

Office Hours: 4:00-6:00 Tuesday

Office: Padelford (PDL), C-552

Contact: j s o u t h e r AT u w . e d u

Additional help is available outside of class and office hours at CLUE. Visit their website to find out more about drop-in hours and dedicated M308 days.

Homework & Webassign

For homework, you will need to use Webassign. Professor Taggart how generously typed up instructions for how to use Webassign. You can find them here. When you log into Webassign, use this link (or google "uw Webassign" to get this page).

Exams

Midterm 1: Friday, October 18

Midterm 2: Wednesday, November 13

Final Exam: Thursday, December 12

Lecture Notes

Exam Archives

Midterm 1: Archive 1, Archive 2 (You may ignore all problems asking about linear transformations.)

Midterm 2: Archive 1, Archive 2 (You may ignore questions asking you to change the basis, compute a determinant, or compute eigen-anything.)

Final Exam: Archive 1, Archive 2 (You may ignore problems that ask about orthogonality and least squares regression. You do not need to worry about complex-valued eigenvalues, you only need to know how to work with real-valued eigenvalues.)

Other Materials

Course Schedule

Week Monday Tuesday Wednesday Thursday Friday
1, 9/23 Lecture: 1.1 No HW Lecture: 1.1, 1.2
2, 9/30 Lecture: 1.2 HW: 1.1 Lecture: 1.2, 2.1 HW: 1.2 Lecture: 2.1
3, 10/7 Lecture: 2.2 HW: 2.1 Lecture: 2.3 HW: 2.2 Lecture: 2.3
4, 10/14 Review Day HW: 2.3 Lecture: 3.1 No HW Midterm 1
5, 10/21 Lecture: 3.1, 3.2 HW: 3.1 Lecture: 3.2, 3.3 HW: 3.2 Lecture: 4.1
6, 10/28 Lecture: 4.2 HW: 3.3, 4.1 Lecture: 4.3 HW: 4.2 Lecture: 4.3, 4.4
7, 11/4 Lecture: 4.4 HW: 4.3 Review HW: 4.4 Lecture: 5.1, 5.2
8, 11/11 Holiday No HW Midterm 2 No HW Lecture: 5.1, 5.2
9, 11/18 Lecture: 6.1 HW: 5.1, 5.2 Lecture: 6.1 HW: 6.1 Lecture: 6.2
10, 11/25 Lecture: 6.2 No HW Lecture: 6.2, (6.3) Holiday Holiday
11, 12/12 Review HW: 6.2 Review No HW Review
12, 12/9 Final Exam 12/12/19