Schedule

Class Day Date Topic Chapter(s) Suggested practice  
1 Wed Jan 17 Vector spaces 1.1-1.2 1.2: 1, 4, 7, 11, 17  
2 Mon Jan 22 Subspaces and Linear Combinations 1.3-4 1.3: 1, 5, 10, 14, 1.4:1, 5, 7, 8  
3 Wed Jan 24 Linear independence 1.5 1, 2, 6, 7  
4 Mon Jan 29 Bases and dimension 1.6 1(a)-(g), 2, 6, 16  
5 Wed Jan 31 Bases and dimension 1.6 1(h)-(l), 4, 23, 31  
6 Mon Feb 5 Linear transformations 2.1 8, 9  
7 Wed Feb 7 More on transformations 2.1 All T/F  
8 Mon Feb 12 Matrices of a Transformation 2.2 1, 4, 5  
9 Wed Feb 14 Composition of Transformations and Matrices 2.3 1, 3, 4, 9  
10 Mon Feb 19 Invertibility and Isomorphisms 2.4 1, 3, 6, 17  
11 Wed Feb 21   Change of Coordinate Matrix 2.5 1, 2, 4
12 Mon Feb 26 Catch Up      
    Midterm 1 is Tuesday, February 27 at 8am Dewey1101        
13 Wed Feb 28 Elementary Matrix Ops 3.1 1, 3, 4  
14 Mon March 4 Rank 3.2    
15 Wed March 6 More on Rank 3.2 1, 2, 5  
  Spring Break is March 9-17          
16 Mon March 18 Systems of equations 3.3 1, 4, 6, 7  
17 Wed March 20 Systems of equations 3.4 1, 3, 5, 10  
18 Mon March 25 Determinants 4.1-4.2 4.1: 1, 4, 10; 4.2: 2, 5, 6, 21  
19 Wed March 27 Determinants 4.2-4.3 4.3: 1(a)-(f), 10, 12, 15  
20 Mon April 1 Catch Up      
  Midterm 2 is Tuesday, April 2 at 8am          
21 Wed April 3 Determinants 4.2-4.3 4.3: 1(a)-(f), 10, 12, 15  
Eclipse Make-up for the afternoon class will be Friday April 5            
22 Mon April 8 Eigenvalues & eigenvectors 5.1 1, 4, 5, 7, 9  
23 Wed April 10 Diagonalization 5.2 1(a)-(g), 2, 3, 7  
24 Mon April 15 Invariant subspaces 5.4 5.4: 1(a),(b),(e),(f), 2-4  
25 Wed April 17 Inner product spaces 6.1 1-3  
26 Mon April 22 Gram-Schmidt algorithm 6.2 1(a)(c),(e)-(g), 9  
27 Wed April 24 The Adjoint 6.3 1,2,3, and 6  
28 Mon April 29 Review      

FINAL EXAM: TBD