Schedule

Week Day Date Topic Chapter(s) Suggested practice
1 Wed Jan 12 Vector spaces 1.1-1.2 1.2: 1, 4, 7, 11, 17
2 Mon Jan 17 MLK Day    
2 Wed Jan 19 Subspaces 1.2-1.3 1.3: 1, 5, 10, 14
3 Mon Jan 24 Linear combinations 1.4 1, 5, 7, 8
3 Wed Jan 26 Linear independence 1.5 1, 2, 6, 7
4 Mon Jan 31 Bases and dimension 1.6 1(a)-(g), 2, 6, 16
4 Wed Feb 2 Bases and dimension 1.6 1(h)-(l), 4, 23, 31
5 Mon Feb 7 Linear transformations 2.1 8, 9
5 Wed Feb 9 Linear transformations 2.1 1-7
6 Mon Feb 14 Matrices 2.2 1, 4, 5
6 Wed Feb 16 Catch-up/review    
6 Thu Feb 17 Exam 1 (8:00 AM)    
7 Mon Feb 21 Matrices 2.3 1, 3, 4, 9
7 Wed Feb 23 Invertibility 2.4 1, 3, 6, 17
8 Mon Feb 28 Change of basis 2.5 1, 2, 4
8 Wed March 2 Elementary matrices 3.1 1, 3, 4
9     Spring Break    
10 Mon March 14 Rank 3.2 1, 2, 5
10 Wed March 16 Systems of equations 3.3 1, 4, 6, 7
11 Mon March 21 Systems of equations 3.4 1, 3, 5, 10
11 Wed March 23 Determinants 4.1-4.2 4.1: 1, 4, 10; 4.2: 2, 5, 6, 21
12 Mon March 28 Catch-up/review    
12 Tues March 29 Exam 2 (8:00 AM)    
12 Wed March 30 Determinants 4.2-4.3 4.3: 1(a)-(f), 10, 12, 15
13 Mon April 4 Eigenvalues & eigenvectors 5.1 1, 4, 5, 7, 9
13 Wed April 6 Diagonalization 5.2 1(a)-(g), 2, 3, 7
14 Mon April 11 Invariant subspaces & JCF 5.4, 7.1 5.4: 1(a),(b),(e),(f), 2-4
14 Wed April 13 JCF & Cayley-Hamilton 5.4, 7.1 7.1: 1, 2 (ignore bases), 4
15 Mon April 18 Catch-up/no class    
15 Wed April 20 Inner product spaces 6.1 1-3
16 Mon April 25 Gram-Schmidt algorithm 6.2 1(a)(c),(e)-(g), 9
16 Wed April 27 Review    
17 Mon May 2 Final exam