Peter Blomgren
San Diego State University
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Math 254 – Introduction to Linear Algebra Spring 2018
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Evolving Schedule (topics arranged by "target week.")

Week # Tuesday Thursday
-
Video: Teaching Center!!!
1 Jan-16-2018

Martin Luther King, Jr. Day (January 15th)
Jan-18-2018
0.1 First Meeting
[Notes #0.1]
2 Jan-23-2018
1.1 Intro to Linear Systems
[Notes #1.1]
Movie(s):
Jan-25-2018
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 Jan-30-2018
1.3 Solutions of Linear systems; Matrix Algebra
[Notes #1.3]

Schedule adjustment deadline.
(11:59 p.m. deadline.)
Feb-01-2018
1.4 Matrix--Vector Fundamentals Wrapup
[Notes #1.4]
4 Feb-06-2018
2.1 Linear Transformation and Their Inverses
[Notes #2.1]
Movie(s):
Feb-08-2018
2.2 Linear Transformations in Geometry
[Notes #2.2]
Movie(s):
5 Feb-13-2018
2.3 Matrix Products
[Notes #2.3]
Feb-15-2018
2.4 The Inverse of a Linear Transformation
[Notes #2.4]
6 Feb-20-2018
MIDTERM #1 (1.1 – 2.4)
[study_guide]
[midterm-01-practice]
[OLD TESTS]
Feb-22-2018
3.1 Image and Kernel of a Linear Transformation
[Notes #3.1]
Movie(s):
7 Feb-27-2018
3.2 Subspaces of ℜn; Bases and Linear Independence
[Notes #3.2]
Mar-01-2018
3.3 The Dimension of a Subspace of ℜn
[Notes #3.3]
8 Mar-06-2018
3.4 Coordinates
[Notes #3.4]
Movie(s):
Mar-08-2018
MIDTERM #1 Solutions
[MT#1 Statistics]
9 Mar-13-2018
Examples & Discussion / Buffer
REVIEW#2 (1.1 – 3.4)
Mar-15-2018
MIDTERM #2 (1.1 – 3.4)
[study_guide]
[midterm-02-practice]
[OLD TESTS]
10 Mar-20-2018
5.1 Orthogonal Projections and Orthonormal Bases
[Notes #5.1] [with Supplements]

Supplemental Material
  • Application: Video Compression
Mar-22-2018
5.2 Gram-Schmidt Process and QR Factorization
[Notes #5.2] [with Supplements]

Supplemental Material
  • Application: Solving the "Unsolvable" (Keywords: Minimum Residual, Least Squares, Linear Regression)
- Mar-27-2018
Spring Break

Cesar Chavez Day (March 30th)
Mar-29-2018
Spring Break
11 Apr-03-2018
5.2 Gram-Schmidt Process and QR Factorization
[Notes #5.2] [with Supplements]

Supplemental Material
  • Application: Solving the "Unsolvable" (Keywords: Minimum Residual, Least Squares, Linear Regression)
Apr-05-2018
MIDTERM #2 Solutions
[MT#2 Statistics]
12 Apr-10-2018
5.3 Orthogonal Transformations and Orthogonal Matrices
[Notes #5.3] [with Supplements]

Supplemental Material
  • Application: Least Squares Data Fitting;
  • [Focus::Math] – Bonus Theory (Linear Spaces)
Apr-12-2018
6.1 Introduction to Determinants
[Notes #6.1] [with Supplements]
Movie(s): Supplemental Material
  • Additional Discussion: Determinants of Block Matrices
13 Apr-17-2018
6.2 Properties of Determinants
[Notes #6.2]
Apr-19-2018
MIDTERM #3 (1.1 – 6.2)
[midterm-03-practice]
[OLD TESTS]
14 Apr-24-2018
6.3 Geometrical Interpretations of the Determinant; Cramer's Rule
[Notes #6.3] [with Supplements]

Supplemental Material
  • Problem Statements for Suggested Problems
Apr-26-2018
7.1 Diagonalization
[Notes #7.1] [with Supplements]

Supplemental Material
  • Problem Statements for Suggested Problems
15 May-01-2018
7.2 Finding Eigenvalues of a Matrix
[Notes #7.2] [with Supplements]

Supplemental Material
  • Problem Statements for Suggested Problems
May-03-2018
MIDTERM #3 Solutions
[MT#3 Statistics]

7.3 Finding Eigenvectors of a Matrix
[Notes #7.3] [with Supplements]

Supplemental Material
  • Problem Statements for Suggested Problems
FINALS May-08-2018
No Class, Finals...
May-10-2018
FINAL (1.1 – 7.3) 8:00am – 10:00am.
[final-practice]
[OLD TESTS]

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 © 2018 Peter Blomgren.