Evolving Schedule (topics arranged by "target
week.")
Week # 
Monday 
Wednesday 
 
Video: Teaching Center!!!

1 
Aug272018
0.1 First Meeting
[Notes #0.1]

Aug292018
1.1 Intro to Linear Systems
[Notes #1.1] [with Supplements] Movie(s):
Supplemental Material
 Metacognitive Reflection
 Rowreductions revisited
 Problem Statements for Suggested Problems
 ☛ Lab1.1 ☚ (Labs are 101.3% experimental)

2 
Sep032018
Labor Day

Sep052018
1.2 Matrices, Vectors, and GaussJordan
Elimination
[Notes #1.2] [with Supplements] FIRST iClickers Session
Bring your iClickers
Optional: REEF Polling by iclicker
app
[iTunes]
[Google Play]
Supplemental Material
 [Computer Science] perspective on a Matrix.
 Metacognitive Reflection
 Problem Statements for Suggested Problems
Recommended Video(s)

3 
Sep102018
1.3 Solutions of Linear systems; Matrix Algebra
[Notes #1.3] [with Supplements]
Supplemental Material
 [Additional discussion] Statements (and
contrapositive statements) regarding rank(A).
 Metacognitive Reflection
 Problem Statements for Suggested Problems
Schedule adjustment deadline.
(11:59 p.m. deadline.)

Sep122018
1.4 MatrixVector Fundamentals Wrapup
[Notes #1.4] [with
Supplements]
Supplemental Material

4 
Sep172018
2.1 Linear Transformation and Their Inverses
[Notes #2.1] [with Supplements]
Movie(s):
Supplemental Material
 Metacognitive Reflection
 Problem Statements for Suggested Problems

Sep192018
2.2 Linear Transformations in Geometry
[Notes #2.2] [with Supplements]
Movie(s):
Supplemental Material
 [Math] Challenge Question
 Metacognitive Reflection
 Problem Statements for Suggested Problems
Recommended Video(s)

5 
Sep242018
2.3 Matrix Products
[Notes #2.3] [with
Supplements]
Supplemental Material
 Metacognitive Reflection
 Problem Statements for Suggested Problems
Recommended Video(s)

Sep262018
2.4 The Inverse of a Linear Transformation
[Notes #2.4] [with
Supplements]
Supplemental Material
 Metacognitive Reflection
 Problem Statements for Suggested Problems

6 
Oct012018
MIDTERM #1 (1.1 – 2.4)
[study_guide] [midterm01practice] [OLD TESTS] 
Oct032018
3.1 Image and Kernel of a Linear Transformation
[Notes #3.1] [with Supplements]
Movie(s):
Supplemental Material
 Metacognitive Reflection
 Problem Statements for Suggested Problems
 [Math] Bonus Proof and
discussion — Properties of im(T)

7 
Oct082018
3.2 Subspaces of ℜ^{n}; Bases
and Linear Independence
[Notes #3.2] [with
Supplements]
Supplemental Material
 Metacognitive Reflection
 Problem Statements for Suggested Problems

Oct102018
3.3 The Dimension of a Subspace of
ℜ^{n}
[Notes #3.3] [with
Supplements]
Supplemental Material
 Metacognitive Reflection
 Problem Statements for Suggested Problems
Recommended Video(s)

8 
Oct152018
3.4 Coordinates
[Notes #3.4]
[with Supplements]
Movie(s):
Supplemental Material
 Metacognitive Reflection
 Problem Statements for Suggested Problems
 [Math] Beyond Vectors & Matrices
— Linear Spaces

Oct172018
MIDTERM #1 Solutions
[MT#1 Statistics (Spring 2018)] 
9 
Oct222018
Examples & Discussion / Buffer
REVIEW#2 (1.1 – 3.4)

Oct242018
MIDTERM #2 (1.1 – 3.4)
[study_guide] [midterm02practice] [OLD TESTS] 
10 
Oct292018
5.1 Orthogonal Projections and Orthonormal Bases
[Notes #5.1] [with Supplements]
Supplemental Material
 Metacognitive Reflection
 Problem Statements for Suggested Problems
 [Application] MPEG4 Video Compression

Oct312018
5.2 GramSchmidt Process and QR Factorization
[Notes #5.2] [with Supplements]
Supplemental Material
 Metacognitive Reflection
 Problem Statements for Suggested Problems
 [Application] Solving the "Unsolvable" (Keywords: Minimum
Residual, Least Squares, Linear Regression)

11 
Nov052018
5.3 Orthogonal Transformations and
Orthogonal Matrices
[Notes #5.3] [with Supplements]
Supplemental Material
 Metacognitive Reflection
 Problem Statements for Suggested Problems
 [Application] Least Squares Data
Fitting;
 [Math] Bonus Theory and Proofs —
Orthongonal Transformations and Orthonormal Bases; Linear
Spaces; ker(A^{T}A), ker(A), invertibility of
(A^{T}A)

Nov072018
MIDTERM #2 Solutions
[MT#2 Statistics (Spring 2018)] 
12 
Nov122018
Veterans Day: Honoring All Who Served

Nov142018
6.1 Introduction to Determinants
[Notes #6.1]
[with Supplements]
Movie(s):
Supplemental Material
 Metacognitive Reflection
 Problem Statements for Suggested Problems
 [Additional Discussion] Determinants of Block
Matrices
 [Math] The 7D Cross Product, Quarternions,
Octonions, and other nonsense!
 [Example] Computation
of det(A) for a 4×4 matrix with many
zeros (sparse matrix) using the combinatorial (pattern) method.

13 
Nov192018
6.2 Properties of Determinants (.)
[Notes #6.2] [with Supplements]
Supplemental Material
 Metacognitive Reflection
 Problem Statements for Suggested Problems

Nov212018
PreThanksgiving
(No Classes Nov. 21nd)
Campus "open" [#GhostTown]

14 
Nov262018
6.3 Geometrical Interpretations of the
Determinant; Cramer's Rule
[Notes #6.3] [with Supplements]
Supplemental Material
 Problem Statements for Suggested Problems
 [Application] Variation of Parameters for
Ordinary Differential Equations (ODEs)

Nov282018
MIDTERM #3 (1.1 – 6.2)
[study_guide] [midterm03practice] [OLD TESTS]

15 
Dec032018
7.1 Diagonalization
[Notes #7.1] [with Supplements]
Movie(s):
Supplemental Material
 Problem Statements for Suggested Problems
 Complex Analysis: Essentials for Linear Algebrax

Dec052018
7.2 Finding Eigenvalues of a Matrix
[Notes #7.2] [with Supplements]
Supplemental Material
 Problem Statements for Suggested Problems
 Complex Eigenvalues

16 
Dec102018
7.3 Finding Eigenvectors of a Matrix
[Notes #7.3] [with Supplements]
Supplemental Material
 Problem Statements for Suggested Problems
 Complex Eigenvectors, Complex Diagonalization,
BlockDiagonalization

Dec122018
MIDTERM #3 Solutions
[MT#3 Statistics (Spring
2018)]
Movie(s):

SAME WEEK 
Dec102018
FRIDAY FINAL!!!

Dec142018
FINAL (1.1 – 7.3) 1:00pm – 2:00pm.
[finalpractice] [study_guide] [OLD TESTS]
[Final Statistics (Spring 2018)] 
Mandatory (WeBWork) Homework will be assigned.
HIGHLY "Recommended" Problems
 Topic 1 : Linear Systems
 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
 Topic 2 : Linear Transformations
 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
 Topic 3 : Subspaces of R^{n}
 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
 (Topic 4 : Linear Spaces (Generalization)) — Partially
"Absorbed" into the other topics
 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
 Topic 5 : Orthogonality, GramSchmidt, and QRFactorization
 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
 Topic 6 : Determinants (A Minimal Introductions)
 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, 192021
 Topic 7 : Eigenvalue and Eigenvectors
 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)
