Last Updated: December 1, 2017
Class | Date | Topic | Section | Problems from book |
---|---|---|---|---|
1 | Aug 21 | Gauss's Method |
One.I.1 |
1.17, 1.19, 1.22, 1.24, 1.27 |
2 | Aug 23 | Describing the Solution Set |
One.I.2 |
2.15, 2.16, 2.17, 2.18, 2.21, 2.25, 2.29 |
3 | Aug 25 | General = Particular + Homogeneous |
One.I.3 |
3.15, 3.17, 3.18, 3.20, 3.24 |
4 | Aug 28 | Gauss-Jordan Reduction |
One.III.1 |
1.8, 1.10, 1.12, 1.14, 1.15 |
5 | Aug 30 | The Linear Combination Lemma |
One.III.2 |
2.11, 2.14, 2.20, 2.22 |
6 | Sept 1 | Definition of Vector Space |
Two.I.1 | 1.17, 1.18, 1.19, 1.21, 1.22, 1.28 |
7 | Sept 6 | Examples of Vector Spaces |
Two.I.1, 2 |
2.20, 2.21, 2.23, 2.25, 2.26, 2.27, 2.29 |
8 | Sept 8 | Subspaces and Spanning Sets |
Two.I.2 |
|
9 | Sept 11 | Linear Independence |
Two.II.1 |
1.20, 1.21, 1.23, 1.24, 1.27 |
10 | Sept 13 | Basis |
Two.III.1 |
1.18, 1.19, 1.20, 1.24, 1.25, 1.28, 1.19, 1.37 |
11 | Sept 15 | Review | ||
12 | Sept 18 | Exam 1 | ||
13 | Sept 20 | Dimension of Vector Space |
Two.III.2 |
2.16, 2.18, 2.21, 2.22, 2.26 |
14 | Sept 22 | Dimension |
Two.III.2, 3 |
|
15 | Sept 25 | Vector Spaces and Linear Systems |
Two.III.3 |
3.17--3.21, 3.23, 3.24, 3.29, 3.32 |
16 | Sept 27 | Definition and Examples of Isomorphism |
Three.I.1 |
1.12, 1.13, 1.17, 1.21,1.23, 1.24 |
17 | Sept 29 | Three.I.1 |
||
18 | Oct 2 | Dimension characterizes Isomorphism |
Three.I.2 |
2.9, 2.10, 2.11, 2.12, 2.14, 2.15 |
19 | Oct 4 | Three.I.2 |
||
20 | Oct 6 | Homomorphisms |
Three.II.1 |
1.18, 1.19, 1,20, 1.25, 1.26, 1.31 |
21 | Oct 9 | Range and Null Space |
Three.II.2 |
2.21, 2.23, 2.24, 2.25, 2.30, 2.33, 2.35 |
22 | Oct 11 | Three.II.2 |
||
23 | Oct 13 | Review | ||
24 | Oct 16 | Exam 2 | ||
25 | Oct 18 | Linear Maps via Matrices |
Three.III.1 |
1.12, 1.18, 1.21, 1.26, 1.29, 1.33 |
26 | Oct 23 | Matrix representation of linear map |
Three.III.2 |
2.14, 2.15, 2.16, 2.22 |
27 | Oct 25 | Matrix sum and scalar product |
Three.IV.1, 2 |
1.8, 1.18, 2.14, 2.15, 2.17, 2.19, 2.21, 2.33 |
28 | Oct 27 | Matrix multiplication |
Three.IV.2, 3 |
3.24, 3.25, 3.28, 3.29, 3.32, 3.34, 3.41 |
29 | Oct 30 | Inverse of matrix |
Three.IV.4 |
4.13, 4.14, 4.15, 4.17, 4.18, 4.20, 4.28, 4.34 |
30 | Nov 1 | Basis representation |
Three.V.1 |
1.7, 1.9, 1.10 |
31 | Nov 3 | |||
32 | Nov 6 | Determinants |
Four.I.1 |
1.1, 1.3, 1.4, 1.7, 1.9, 1.15 |
33 | Nov 8 | Properties of determinants |
Four.I.2 |
2.8, 2.9, 2.12, 2.13, 2.15, 2.18 |
34 | Nov 10 | Laplace expansion |
Four.III.1 |
1.11, 1.12, 1.14, 1.16 |
35 | Nov 13 | Review | ||
36 | Nov 15 | Exam 3 | ||
37 | Nov 17 | Matrix similarity |
Five.II.1 |
1.8, 1.9, 1.10, 1.11 |
38 | Nov 20 | Diagonalizability |
Five.II.1, 2 |
2.6, 2.7, 2.14, 2.15, 2.17 |
39 | Nov 22 | Five.II.2 |
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40 | Nov 27 | Eigenvalues and Eigenvectors |
Five.II.3 |
3.21, 3.22, 3.23, 3.25, 3.26, 3.27, 3.28, 3.32 |
41 | Nov 29 | |||
42 | Dec 1 | Review |
Homework Assignment (to turn in) |
Due Date | Solutions |
Homework #1 | Aug 28 |
Solutions |
Homework #2 | Sept 6 |
Solutions |
Homework #3 | Sept 15 |
Solutions |
Homework #4 | Sept 27 |
Solutions |
Homework #5 | Oct 4 |
Solutions |
Homework #6 | Oct 13 |
Solutions |
Homework #7 | Oct 30 |
Solutions |
Homework #8 | Nov 6 |
Solutions |
Homework #9 | Nov 13 |
Solutions |
Homework #10 | Nov 29 |
Solutions |
Exam I (2010) Exam
I (2010) Solutions Exam I (2008)
Exam I (2008) Solutions Exam
I (1992)
Exam II (2010) Exam
II (2010) Solutions Exam II
(2008) Exam II (2008)
Solutions
Exam III (2010) Exam
III (2010) Solutions Exam III (2008) Exam III (2008) Solutions
Final Exam (1992) Final
Exam (1992) Solutions Final
Exam (2000) Final
Exam (2000) Solutions Final
Exam (2008) Final Exam (2017)
Exams | Date | Solutions |
---|---|---|
Exam 1 | September 18 | Solutions |
Exam 2 | October 16 | Solutions |
Exam 3 | November 15 | Solutions |
Final Exam | December 8 (10:00 - 12:00 ) | Solutions |