Jen Paulhus, Ph.D.

Linear Algebra

email: paulhus@math.grinnell.edu     pgp key
Jen Office Hours:
    Monday 10:00-11:00 AM
    Wednesday 9:00-11:00 AM
    Thursday 2:30-3:30 PM
    or by appointment

Jasper Office Hours:
    Monday 8:00-9:00 PM
    Wednesday 8:00-9:00 PM
    Sunday 8:00-10:00 PM

Class Meetings: 8:30-9:50 AM Monday, Tuesday, Thursday, Friday
WebEx Links: See PWeb

Text: Linear Algebra, by Joseph Mileti

Syllabus
Homework

Daily Topics

Class Date Section(s) Covered Pages Topics Related Content
Aug. 31 1.1 5-10 introduction 3Blue1Brown S1 E1
Sep. 1 1.2-1.3 14-22 mathematical statements, negation, quantifiers, examples
Sep. 3 1.3-1.4 23-26 if...then...
Sep. 4 1.5 31-37 more if...then, subsets, proving sets are equal, operations on sets
Sep. 8 1.6-1.8, 2.1-2.2 37-56 functions, solving equations, intersection of lines, vectors Khan Academy Vector Introduction
Sep. 9 2.3 56-60 span 3Blue1Brown S1 E2 first 6 minutes only
Sep. 10 2.3 61-67 more on span, geometry in R2 Khan Academy Linear Combinations and Span
Sep. 11 2.4 68-74 basis, intro to linear transformations Khan Academy Visualizing Linear Transformations
Sep. 14 2.4 75-79 transformations on basis elements 3Blue1Brown S1 E3 first 6.5 minutes only
Sep. 15 2.5 79-91 standard matrix, matrix-vector product, projections and rotations
Sep. 17 Exam 1 5-74 1.1-2.4
Sep. 18 2.5-2.6 92-101 matrix algebra, range
Sep. 21 - - class cancelled
Sep. 22 2.7 102-111 range and null space, inverses, invertible matrix
Sep. 24 2.7-3.1 112-122 coordinate systems
Sep. 25 3.3 132-138 eigenvalues and eigenvectors
Sep. 28 3.2 122-131 matrices with respect to other coordinates

Homework Assignments

Make sure you are familiar with the Academic Honesty policies for the class. Problem sets will be submitted and returned on Gradescope, while writing assignments will be submitted on PWeb and returned on OneDrive. You will be encouraged to use LaTeX to write your solutions. Brief solutions to homeworks will also be posted on PWeb.

HW Due Date Problems
# PS 1 Sept. 1 [pdf]
# WA 1 Sept. 3 [pdf]
# PS 2 Sept. 4 [pdf]
# PS 3 Sept. 7 8 [pdf]
# PS 4 Sept. 8 9 [pdf]
# WA 2 Sept. 10 [pdf]
# PS 5 Sept. 11 [pdf]
# PS 6 Sept. 14 [pdf]
# PS 7 Sept. 15 [pdf]
Exam 1 Sept. 17 no homework
Sept. 18 no homework
# PS 8 Sept. 21 22 [pdf]
# PS 9 Sept. 22 24 [pdf]
# WA 3 Sept. 24 25 [pdf]