Math 272: Linear Algebra with Applications (Fall 2019)
This course concerns the core theory of linear algebra, with specific attention to applications.
Help hours
 My office hours in SMUD 401:
 Tuesday 11:0012:30
 Wednesday 2:003:30
 Friday 10:0011:30
 Allison Tanguay’s help hours:
 MondayThursday, 1:304:30 in the Q Center / Science Library
 Or book an appointment
 Sam Rothberg’s help hours:
 Tuesday 911pm in SMUD 207
 Wednesday 810pm in SMUD 204
Handouts and other items
 Syllabus
 9/4: Pictures of three planes meeting
 9/26: Proofwriting examples
 9/27: Lecture Notes 9/27 (climate strike day)
 10/16: Least Squares Notes
 10/21: Drawing from Least Squares proof
 11/13: Least Squares in an IPS
Homework
Problem sets will be posted here. All problem sets are due at 10pm, via Gradescope.
 Course survey and Gradescope instructions (due 9/6)
 Problem Set 1 (due 9/11)
 Problem Set 2 (due 9/18)
 Problem Set 3 (due 9/25)
 Problem Set 4 (due 10/2)
 Problem Set 5 (now complete; due 10/16)
 Problem Set 6 (due 10/23)
 Problem Set 7 (due 10/30)
 Problem Set 8 (due 11/6)
 Problem Set 9 (due 11/13)
 Problem Set 10 (now complete; due 12/5 because of snow day)
 Problem Set 11 (due 12/11)
Fundamental Checks
Each fundemental check is a short quiz given in class on the day specified. These are quizzes on more rote aspects of the course. You may retake any check as many times as you wish by coming to office hours and asking for a new one (at most one per day). To allow you to drill the skills, I will provide a bank of samples for each check here (with answers included).
Mathematica Labs
 Lab 1: Intro to Mathematica (W 9/18)
 Lab 2: Linear combinations (F 10/4)
 Lab 3: Least Squares (W 10/23)
 Lab 4: GramSchmidt (F 11/8)
 Lab 5: Google PageRank algorithm (W 12/10)
Exams

Midterm 1: Wednesday 10/9, in class.
 Remember to make a onepage notesheet (front and back)!
 The exam will cover all material up to W 10/2 in class. See the “study guides” at the top of each Problem Set for study suggestions.
 Sample Exam 1 / Solutions
 Sample Exam 2 / Solutions
 Exam / Solutions

Midterm 2: Wednesday 11/20, in class.
 Remember to make a onepage notesheet (front and back)!
 The exam will cover all material up to W 11/14 in class. See the “study guides” at the top of each Problem Set for study suggestions.
 Sample Exam 1 / Solutions
 Sample Exam 2 / Solutions
 Sample Exam 3 / Solutions
 Exam / Solutions

Final Exam: Tuesday, 12/17 9am12pm, SMUD 014.
 Remember to make a onepage notesheet (front and back)!
 The final exam will be cumulative, but will place larger emphasis on topics covered after the second midterm.
 Sample Exam 1 (omit 4, 7(b)) / Solutions
 Sample Exam 2 / Solutions
 Sample Exam 3 / Solutions
 More old final exams for Math 272 and Math 271. Topics don’t always match what we covered in our class, but these may be useful review tools regardless.
 Exam / Solutions