M308 F Matrix Algebra

Summer 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.

CAUTION! This course is a 4 week version of a 10 week course. During a 10 week version of this course, a typical student spends 8-20 hours per week (including lecture hours). DO NOT take this course unless you are able to commit to 20-40 hours of work per week.

Information

Syllabus

Academic Honesty Pledge

Instructor: Josh Southerland

Office Hours: via Zoom

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 online assistance.

Homework: Webassign & Conceptual Problems

For homework, you will need to use Webassign and Gradescope. 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). Conceptual problems will require solutions, and you will need to upload these solutions to Gradescope.

Technology Requirements

All lectures in this course have been pre-recorded, with certainexceptions. However, starting the second week of the class, I will be available on Zoom during the usual lecture hours. Additionally, office hours, quizzes and exams will be on Zoom. For additional Zoom and technology policies, refer to the syllabus. As an alternative, you have access to Ebru Bekyel's lectures from last quarter (see below). In general, this means you will need the following for this class.

Exams & Quizzes

Practice Quiz: Friday, June 26

Covers 1.1, 1.2, 2.1.

Solutions

Quiz 1: Monday, July 6

Covers 2.2, 2.3, 3.1 (and you need to understand techniques from 1.1-2.1)

Quiz 2: Friday, July 10

Covers 3.2, 3.3, 4.1, 4.2 (and you need to understand techniques from 1.1-3.1)

Quiz 3: Friday, July 17

Covers 4.4, 5.1/5.2, 6.1 (and you need to understand techniques from 1.1-4.3)

Final Exam: Wednesday, July 22

Course Schedule with Lecture Notes and Recordings

Week Monday Tuesday Wednesday Thursday Friday
Jun 22

Lectures

Lecture Notes

Homework

  • Upload Academic Honesty Pledge

Lectures

Lecture Notes

Homework

Webassign

  • 1.1
  • 1.2

Conceptual

  • C1: Ch.1 #3, #5ab, #9

Additional Assistance

Practice Quiz: 9:40-10:05

Lectures

Lecture Notes

Jun 29

Lectures

Lecture Notes

Homework

Webassign

  • 2.1
  • 2.2
  • 2.3

Chapter 2 Videos (3Blue1Brown)

Additional Assistance

Lectures

Lecture Notes

Homework

Webassign

  • 3.1

Conceptual

  • C2: Ch.2 #2,4,6,7

Additional Assistance

Holiday!
Jul 6

Quiz 1: 9:40-10:05

Lectures

Lecture Notes

Homework

Webassign

  • 3.2
  • 3.3

Conceptual

  • C3: Ch.3 #2,5,7,9

Chapter 3 Videos (3Blue1Brown)

Additional Assistance

Lectures

Lecture Notes

Homework

Webassign

  • 4.1
  • 4.2

Conceptual

  • C4: Ch.3 #12,13; Ch.4 #2

Additional Assistance

  • Office Hours, 5/5/20: (start at 44:50) Conceptual Ch. 4 #2a + new techniques for thinking about #2
  • Office Hours, 5/7/20: Ch. 4 Conceptual #2d, Webassign 4.1 #4, General Subspace Question, Ch. 3 Conceptual #4

Quiz 2: 9:40-10:05

Lectures

Lecture Notes

Jul 13

Lectures

Lecture Notes

Homework

Webassign

  • 4.3
  • 4.4

Conceptual

  • C5: Ch.4 #5,7,8ab,9,10

Chapter 4 Videos (3Blue1Brown)

Additional Assistance

  • Office Hours, 5/12/20: Webassign 4.3 #10, Ch. 4 Conc. #7, Win 2020 #3f, Ch. 4 Conc #8b, Bonus, Remark on Row/Null Space
  • Office Hours, 5/14/20: Ch. 4 Conceptual #10 (1:18:45-1:42:45); Ch. 4 Conceptual #9a (2:07:00-2:15:45)

Lectures

Lecture Notes

Homework

Webassign

  • 5.1
  • 5.2
  • 6.1

Conceptual

  • C6: Ch.5 #2,5abd,8,9; Ch. 6 #4

Chapter 5 Videos (3Blue1Brown)

Additional Assistance

Quiz 3: 9:40-10:05

Lectures

Lecture Notes

Jul 20

Review Day! (live on Zoom)

Use the Zoom Lecture link

Extras

Old review days

Homework

Webassign

  • 6.2

Conceptual

  • C7: Ch.6 #3,5,6,7,8

Chapter 6 Videos (3Blue1Brown)

Additional Assistance

Final Exam: 9:40-11:50

Use the Zoom Lecture link

Extra lecture (just for fun!)

Alternative Lecture Recordings: Ebru Bekyel

Exam Archives & Concept Checklists

Midterm 1

Midterm 2

Final Exam

Other Materials