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Math 21-241 Fall 2018
Linear Algebra
Course Calendar


Updated 19 November 2018

This calendar is subject to revision throughout the term. Textbook references are as follows:

CTM: Coding the Matrix by Philip Klein.
ALA: Introduction to Applied Linear Algebra by Stephen Boyd and Lieven Vandenberghe
LA: Linear Algebra by Jim Hefferson
FDS: Foundations of Data Science by Avrim Blum, John Hopcroft, and Ravindran Kannan
LA2: Linear Algebra by David Cherney, Tom Denton, Rohit Thomas, and Andrew Waldron

Monday
Wednesday
Thursday
(Recitation)
Friday
Week
Summary
Aug 27
Introduction
ALA 1.1-1.2
Aug 29
ALA 1.2-1.4
Aug 30
Light’s Out
Aug 31
ALA1.4
CTM 2.9-2.11
Basics of Vectors
Vector Arithmetic
Sep 3
No Class
Sep 5
CTM 3.2-3.3
Sep 6
Planes/Lines
Sep 7
LA 2.I.1
Linear Combinations, Spans
Geometry of Spans
Vector Spaces
Sep 10
ALA 6.1-6.4
CTM 4.2
Sep 12
CTM 4.5, 4.6
Sep 13
Row Reduction
Sep 14
CTM 4.7
Matrix arithmetic
Matrix-Vector product
Null Space
Sep 17
CTM 4.10
Sep 19
CTM 4.10
Sep 20
Matrices of Linear
Transformations
Sep 21
CTM 4.11
Linear Transformations
Matrix-matrix product
Sep 24
CTM 4.13
Sep 26
Review
Sep 27
Exam Review
Sep 28
Exam 1
Inverses
Oct 1
CTM 4.13
Oct 3
CTM 5.1, 5.7, 5.5
Oct 4
Cycle Bases
Oct 5
ALA 5.1, CTM 5.5, 5.6
Inverses
Linear Independence
Basis
Oct 8
CTM 5.8, LA 3.V
Oct 10
CTM 6.1, 6.2
Oct 11
Change of Basis
Oct 12
CTM 6.4
Theoretical results about Basis
Dimension
Rank-Nullity Theorem
Oct 15
LA 4.1
Oct 17
LA 4.1
Oct 18
Calculating Rank
Oct 19
No Class
Determinants
Oct 22
CTM 12.3
Oct 24
CTM 12.6, LA2 13.3
Oct 25
Diagonalization
Oct 26
No Class
Eigenvalues/eigenvectors
Diagonalization
Oct 29
CTM 12.4, 8.1, 8.2
Oct 31
CTM 8.3, 9.1
Nov 1
k-means clustering
Nov 2
CTM 9.3
Using a basis of eigenvectors
Norms, inner products
Projection
Nov 5
CTM 9.3
Nov 7
Review
Nov 8
Exam Review
Nov 9
Exam 2
Gram-Schmidt, projection
Nov 12
FDS 3.3
Nov 14
FDS 3.4
Nov 15
Computing SVDs
Nov 16
FDS 3.5
Singular values, vectors
Best rank k approximation
Nov 19
PCA
Code used in class
RGB Version
Nov 21
No Class
Nov 22
No Class
Nov 23
No Class
PCA
Nov 26
ALA 12.1, 12.3
Nov 28
CTM 9.9
Nov 29
Nov 30
ALA 15.1
Least Squares
Dec 3
Catch up (or Markov Chains)
Dec 5
Catch up (or Markov Chains)
Dec 6
Dec 7
Review
TBD



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