| Weeks |
Dates |
Sections |
Handouts |
Homework
|
Due Dates |
| Mandatory |
Recommended |
1
|
Jan 16, 18
|
Section 1.1 |
Fundamental
Operations with Vectors
|
4(b),
5(d), 8(d), 9 |
1-20
|
Jan 25
|
| Section 1.2 |
The
Dot Product
|
2,
3, 10, 15(b)
|
1-20
|
2
|
Jan 23, 25 |
Section 1.3 |
An
Introduction to Proof Techniques
|
1(a),
2(a), 3, 4, 6(b), 12, 13, 22, 23
|
1-7,
11-17, 21-24
|
Feb
1
|
3
|
Jan 30, Feb 1 |
Section 1.4
|
Fundamental
Operations with Matrices
|
4,
5(a)-(c), 13
|
1-13,
15
|
Feb 8
|
| Section 1.5 |
Matrix
Multiplication
|
6,
13, 21, 22
|
1-25,
31
|
Section 2.1
|
Solving
Linear Systems Using Gaussian Elimination
|
1(d),
5, 10
|
1-11
|
4
|
Feb 6, 8 |
Section 2.2
|
Gauss-Jordan
Row Reduction and Reduced Row Echelon Form
|
2(d),
5(d), 7(b), 11(a),(c),(d), 13
|
1-14
|
Feb 15
|
Section 2.3
|
Equivalent
Systems, Rank, and Row Space
|
8(d),
9(b), 16, 18
|
1-22
|
5
|
Feb 13, 15
|
Section 2.4
|
Inverses
of Matrices
|
4(b),
9, 18
|
1-22
|
Feb 22
|
Section 3.1
|
Introduction
to Determinants
|
8,
11(b), 16(a)
|
1-18
|
Section 3.2
|
Determinants
and Row Reduction
|
2(d),
4(b), 7
|
1-16
|
6
|
Feb 20, 22
|
Section 3.3 |
Further
Properties of the Determinant |
4(b),
6(b), 8(a), 10, 12
|
1-22
|
Mar 1
|
Section 3.4
|
Eigenvalues
and Diagonalization |
3(f),
5(b), 11, 17
|
1-20,
24
|
7
|
Feb 27
|
Section 4.1 |
Introduction
to Vector Spaces |
2-4,
6, 7, 9, 10, 15, 18
|
1-20
|
Mar
8
|
Mar 1
|
Sections
1.1-1.5, 2.1-2.4, 3.1-3.4
|
MIDTERM 1 |
|
|
|
8
|
Mar
6, 8
|
Section 4.2 |
Subspaces |
1(i),
2(d), 3(d), 6, 11
|
1-22
|
Mar 22
|
9
|
Mar
12-17 |
Spring break |
10
|
Mar 20,
22
|
Section 4.3 |
Span |
2(b), 3(b), 9,
10, 12, 15, 19 |
1-29 |
Mar 29
|
| Section 4.4 |
Linear
Independence |
3(b),
5, 8, 12, 17, 18
|
1-28
|
11
|
Mar 27, 29 |
Section 4.5 |
Basis
and Dimension |
2,
3, 4(d), 7, 15(a) |
1-25
|
Apr 5
|
| Section 4.6 |
Constructing
Special Bases |
1(b),
4(f), 5(b), 6(d), 12(a) |
1-20
|
12
|
Apr 3
|
Section 4.7 |
Coordinatization |
1(i),
2(b), 4(d), 12, 14, 15 |
1-16
|
Apr 12
|
Apr
5
|
Sections
4.1-4.6 |
MIDTERM 2 |
|
|
|
13
|
Apr 10,
12
|
Section 5.1 |
Introduction
to Linear Transformations |
1(e,
g), 5, 7, 16, 19 |
1-36
|
Apr 19
|
| Section 5.2 |
The
Matrix of a Linear Transformation |
2(d),
3(d), 7(b), 14 |
1-3,
7-9, 13, 14 |
14
|
Apr 17, 19
|
Section 5.3 |
The
Dimension Theorem |
1(b),
2(b), 3(b), 4(h), 13 |
1-20
|
Apr 26
|
| Section 5.4 |
One-to-One
and Onto Linear Transformations |
1(d),(f),
2(d), 5, 6 |
1-9
|
15
|
Apr 24,
26 |
Section 5.5 |
Isomorphism |
1(b),
3, 4, 12 |
1-23
|
May 3
|
Section 6.1
|
Orthogonal
Bases and the Gram-Schmidt Process
|
1(d),
2(b), 3(b), 4(d), 5(b), 7(b), 10
|
1-22
|
16
|
May 1, 3
|
Section 6.2 |
Orthogonal
Complements
|
1(c,
d), 2(c), 4(b, c), 11, 14, 21
|
1-4,
11-26
|
Section 6.3
|
Orthogonal Diagonalization
|
|
|
|
17
|
May
11 (Fri) 2:00-5:00pm |
Cumulative
|
FINAL EXAM
|
|
|
|
|