M308 M Matrix Algebra

Winter 2020

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.



Instructor: Josh Southerland

Office Hours:

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).


Midterm 1: Friday, January 31

Midterm 1 Solutions

Midterm 2: Friday, February 21

Midterm 2 Solutions

Final Exam: Monday, March 16

Lecture Notes

Exam Archives & Concept Checklists

Midterm 1

Midterm 2

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
Jan 6 Lecture: 1.1 Lecture: 1.1, 1.2 Lecture: 1.2
Jan 13 Lecture: 1.2, 2.1 HW: 1.1, 1.2 Lecture: 2.1 Lecture: 2.2
Jan 20 Holiday HW: 2.1 Lecture: 2.3 HW: 2.2, 2.3(Sun) Lecture: 2.3
Jan 27 Lecture: 3.1 Review (TBD) Lecture: 3.1, 3.2 Review (TBD) Midterm 1
Feb 3 Lecture: 3.2 HW: 3.1 Lecture: 3.2, 3.3 HW: 3.2 Lecture: 3.3
Feb 10 Lecture: 4.1 HW: 3.3 Lecture: 4.2 HW: 4.1, 4.2 + 4.3 (Sun) Lecture: 4.3
Feb 17 Holiday Review (TBD) Lecture: Review Review: Questions Midterm 2
Feb 24 Lecture: 4.4 HW: 4.4 Lecture: 5.1/5.2 HW: 5.1 Lecture: 5.1/5.2, 6.1
Mar 2 Lecture: 6.1 HW: 5.2 Lecture: 6.2 HW: 6.1 Lecture: 6.2
Mar 9 Review HW: 6.2 Review Review
Mar 16 Final Exam