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 and quizzes!).
Unless stated otherwise, the homework is from the corresponding section of the book.
All of the problems assigned in week n are due to your TA (at the start of recitation) in week n+1.
It will be expected that you have done the suggested reading.
Problems in square brackets are ones that I think you will benefit from, but won't be graded. You should still do them!
Week  Date  Topic(s) Covered  Reading  Homework 

1  1/29  Abstract Vector Spaces  1A, 1B  1A: 1, 15 1B: 1, 6 
1/31  Subspaces, Direct Sums  1C  3, 7, 8, 10, 24  
2  2/5  Spans, Polynomials  2A  1, 2, 6, 8, 11 
2/7  Linear Independence, Definition of Dimension  2B  2, 3, 5, 7, 8  
3  2/12  Bases  2C  1, 3, 8, 10, 11, 16, [17] 
2/14  Midterm 1  .  Review  
4  2/19  Linear Maps  3A  1, 3, 4, 8, 9 [do R>R too!], 11 
2/21  Injectivity/Surjectivity & Kernel/Image  3B  2, 3, 7, 9, [11], 20, [21], [26], 28  
5  2/26  Linear Isomorphisms  3D  3B: 17, [18] 3D: 2, 4, 5, 8, 9 
2/28  Coordinates  3C  2, 3, 8, 14  
6  3/5  Equivalence Relations, quotient spaces  3E  12, 13, 16, 20 
3/7  Direct Products  3E  1, 6, [recall that a map of sets f:A>B defines an equivalence relation ~ on A. Show that f is injective if and only if the quotient map A>A/~ is an isomorphism.]  
7  3/12  Dual Spaces  3.F  7, 9, 13 
3/14  Tensor Products  .  here  
8  3/19  Spring Break  .  . 
3/21  Spring Break  .  .  
9  3/26  Practice with Tensor Products  .  . 
3/28  Change of Bases  .  .  
10  4/2  Midterm II  .  Review 
4/4  Trace  .  here  
11  4/9  Eigenvalues/Eigenvectors  5A  11, 12, 15, 21, 25 
4/11  Eigendecomposition  5B  1, 2, 5, 10, 11  
12  4/16  Generalized Eigenvectors  5C 8A  6, 12 1, 4, 5, [12], 15, [16, 17] 
4/18  Jordan Canonical Form  8B 8D  1, 9 4, 5 

13  4/23  Inner Products  6A  8, 10, 14, 18, 23 
4/25  Orthonormal Bases  6B  1, 4, 5, 11, 12  
14  4/30  Riesz Representation Theorem  6B 6C  7, 8, [9], [15] [4], 5, 10 
5/2  Complexification  9A  [Read at least 276278] 2, 3, 4, [17]  
15  5/7  Self Adjoint operators  7A  [1, 3, 6, 8 [can you find a natural complement?], 20] 
5/9  Representations, symmetrizers and the determinant  .  .  
16  5/7  Study  .  Review 
5/9  Final Exam  5:308:00pm  . 