Peter Blomgren
San Diego State University
headshot
Math 254 – Introduction to Linear Algebra Fall 2017
main  |  schedule  |  videos  |  expectations  |  success  |  grading  |  free  ||  home
 

Evolving Schedule (topics arranged by "target week.")

Week # Tuesday Thursday
-
Video: Teaching Center!!!
1 Aug-28-2017
0.1 First Meeting
[Notes #0.1]
Aug-30-2017
1.1 Intro to Linear Systems
[Notes #1.1]
Movie(s):
2 Sep-04-2017
LABOR DAY
Sep-06-2017
1.2 Matrices, Vectors, and Gauss-Jordan Elimination
[Notes #1.2]
FIRST i-Clickers Session
Bring your i-Clickers
Optional: REEF Polling by i-clicker app
[iTunes] [Google Play]
3 Sep-11-2017
1.3 Solutions of Linear systems; Matrix Algebra
[Notes #1.3]

Schedule adjustment deadline.
(11:59 p.m. deadline.)
Sep-13-2017
1.4 Matrix--Vector Fundamentals Wrapup
[Notes #1.4]
4 Sep-18-2017
2.1 Linear Transformation and Their Inverses
[Notes #2.1]
Movie(s):
Sep-20-2017
2.2 Linear Transformations in Geometry
[Notes #2.2]
Movie(s):
5 Sep-25-2017
2.3 Matrix Products
[Notes #2.3]
Sep-27-2017
2.4 The Inverse of a Linear Transformation
[Notes #2.4]
6 Oct-02-2017
MIDTERM #1 (1.1 – 2.4)
[study_guide]
[midterm-01-practice]
Oct-04-2017
3.1 Image and Kernel of a Linear Transformation
[Notes #3.1]
Movie(s):
7 Oct-09-2017
3.2 Subspaces of ℜn; Bases and Linear Independence
[Notes #3.2]
Oct-11-2017
3.3 The Dimension of a Subspace of ℜn
[Notes #3.3]
8 Oct-16-2017
3.4 Coordinates
[Notes #3.4]
Movie(s):
Oct-18-2017
MIDTERM #1 Solutions
[MT#1 Statistics]
9 Oct-23-2017
Examples & Discussion / Buffer
REVIEW#2 (1.1 – 3.4)
Oct-25-2017
MIDTERM #2 (1.1 – 3.4)
[study_guide]
[midterm-02-practice]
10 Oct-30-2017
5.1 Orthogonal Projections and Orthonormal Bases
[Notes #5.1] [Extended]

Supplemental Material
Application: Video Compression

[See extended notes above]
Nov-01-2017
5.2 Gram-Schmidt Process and QR Factorization
[Notes #5.2] [Extended]

Supplemental Material
Application: Solving the "Unsolvable" (Keywords: Minimum Residual, Least Squares, Linear Regression)

[See extended notes above]
11 Nov-06-2017
5.2 Gram-Schmidt Process and QR Factorization
[Notes #5.2] [Extended]

Supplemental Material
Application: Solving the "Unsolvable" (Keywords: Minimum Residual, Least Squares, Linear Regression)

[See extended notes above]
Nov-08-2017
MIDTERM #2 Solutions
12 Nov-13-2017
5.3 Orthogonal Transformations and Orthogonal Matrices
[Notes #5.3] [Extended]

Supplemental Material
Application: Least Squares Data Fitting; [Focus::Math] – Bonus Theory (Linear Spaces)

[See extended notes above]
Nov-15-2017
6.1 Introduction to Determinants
[Notes #6.1]
Movie(s):
13 Nov-20-2017
MIDTERM #3 (1.1 – 6.1)
[midterm-03-practice]
Nov-22-2017
Pre-Thanksgiving
(No Classes Nov. 22nd)
Campus "open" [#GhostTown]
14 Nov-27-2017
6.2 Properties of Determinants
[Notes #6.2]
Nov-29-2017
6.3 Geometrical Interpretations of the Determinant; Cramer's Rule
[Notes #6.3]
15 Dec-04-2017
7.1 Diagonalization
[Notes #7.1]
Dec-06-2017
MIDTERM #3 Solutions
16 Dec-11-2017
7.2 Finding Eigenvalues of a Matrix
[Notes #7.2]
Dec-13-2017
7.3 Finding Eigenvectors of a Matrix
[Notes #7.3]
FINALS Dec-18-2017
No Class, Finals...
Dec-20-2017
FINAL (1.1 – 7.3) 10:30am – 12:30pm.
[final-practice]

Mandatory (WeBWork) Homework will be assigned.

HIGHLY "Recommended" Problems

  • Chapter 1
    • 1.1 — 1, 3, 7, 14, 19, 21, 42
    • 1.2 — 1, 3, 9, 11, 18, 21, 34
    • 1.3 — 1, 2, 3, 7, 13, 22, 23, 37, 46, 55
  • Chapter 2
    • 2.1 — 1, 2, 3, 4, 5, 7, 8, 13, 14, 16, 17, 41, 42
    • 2.2 — 1, 6, 7, 9, 12, 13, 17, 26
    • 2.3 — 1, 3, 5, 7, 13, 17, 19, 27, 28, 33, 37
    • 2.4 — 1, 3, 9, 16, 17, 29, 31, 35
  • Chapter 3
    • 3.1 — 1, 7, 11, 14, 15, 17, 23, 24, 29, 39
    • 3.2 — 1, 3, 7, 11, 17, 25, 27, 32, 34
    • 3.3 — 1, 3, 19, 23, 25, 27
    • 3.4 — 1, 3, 7, 17, 19, 23, 37
  • (Chapter 4)
    • 4.1 — 1, 3, 5, 6, 8, 17, 20, 25, 32, 37
    • 4.2 — 1, 9, 13, 17, 18, 33, 51, 53, 63
    • 4.3 — 1, 5, 7, 9, 13, 15, 21, 25, 37, 41, 51, 55, 61
  • Chapter 5
    • 5.1 — 7, 10, 11, 15, 17, 27, 28
    • 5.2 — 3, 7, 13, 31, 32, 33, 35, 39
    • 5.3 — 1, 2, 5, 6, 13, 15, 17, 19, 28, 32, 33, 36, 41
  • Chapter 6
    • 6.1 — 1, 5, 11, 13, 23, 25, 27, 31, 43, 45
    • 6.2 — 1, 5, 7, 9, 11, 12, 13, 15
    • 6.3 — 1, 3, 5, 7, 9, 11, 13, 19-20-21
  • Chapter 7
    • 7.1 — 1, 3, 5, 7, 15, 17, 21
    • 7.2 — 1, 3, 5, 11, 15, 17, 19, 23
    • 7.3 — 1, 3, 5, 9, 13, 17, 23, 27, 31, 35
    • (7.4 — 1, 5, 11, 25, 35, 37, 39, 41, 43, 47)
    • (7.5 — 13, 15, 17, 21, 23)

Copyright © 2017 Peter Blomgren.