The following is a tentative schedule for the course. As homework is assigned it will be posted here. You are encouraged to work with others, but please make sure to write up solutions in your own words (this will help you on the exams!).
Unless stated otherwise, the homework is from the corresponding section of the book.
All of the problems assigned in week n are due at the beginning of lecture on the Wednesday of week n+1.
Week  Date  Topic(s) Covered  Reading  Homework 

1  1/22  Linear systems of equations  Chapter 1.1  1, 7, 8, 11, 17, 21 
1/24  GaussJordan elimination  1.2  1, 2, 5, 18, 22, 30, 31  
2  1/29  Counts of solutions and matrix algebra  1.3  1, 2, 4, 9, 10, 14 
1/31  Matrix algebra  1.3  16, 17, 22, 30, 34, 55  
3  2/5  Linear transformations  2.1  1, 2, 3, 5, 6, 33, 42 
2/7  Linear geometry  2.2  3, 16, 29, 33, 53  
4  2/12  Linear composition is matrix multiplication  2.3  1, 2, 10, 11, 13, 40, 65 
2/14  Linear inverses  2.4  16, 18, 21, 23, 41  
5  2/19  Linear inverses continued  2.4  2, 3, 5, 34, 43, 82, 83 
2/21  Image and kernel of linear functions  3.1  1, 4, 14, 17, 19, 25, 49  
6  2/26  (Im and Ker are) linear subspaces  3.1 3.2  32, 34, 40, 44 1, 2, 3, 5 
2/28  .  Review  Review  
7  3/5  .  Midterm  Review sheet here. 
3/7  Snow Day  .  .  
8  3/12  Spring Break!  .  . 
3/14  Spring Break!  .  .  
9  3/19  Linear (in)dependence  3.2  8, 15, 16, 21, 22, 34, 36, 37, 39, 50 
3/21  Snow Day  .  .  
10  3/26  Basis and dimension  3.2 3.3  27, 29, 43 1, 3, 9, 29, 62, 67 
3/28  The RankNullity Theorem  3.3  22, 27, 31, 33, 34, 37  
11  4/2  Linear coordinates  3.4  1, 3, 4, 6, 15, 16, 50 
4/4  Linear maps using coordinates  3.4  25, 27, 30, 33, 37, 43  
12  4/9  Abstract Vector Spaces  4.1  1, 2, 7, 9, 16, 20, 25, 47, 48 
4/11  Linear Isomorphisms  4.2  1, 2, 3, 4, 7, 9, 42, 60  
13  4/16  Linear map + a basis gives a matrix  4.3  5, 6, 13, 14, 20, 41, 44, 48, 60 
4/18  The determinant  6.1  5, 7, 9, 10, 15, 23, 28, 39, 43  
14  4/23  Properties of the determinant  6.2  1, 3, 7, 11, 13, 15, 21, 38, 48, 55 
4/25  Eigenvectors  7.1 7.3  1, 4, 19, 23 1, 4, 16, 34 

15  4/30  Geometry, eigenvalues and the determinant  .  None 
5/2  Review  .  Review Sheet  
16  5/9  Final Exam  Engineering 143, 8:00am  10:45am 