The readings are assigned in: Buy at Amazon Strang, Gilbert. Introduction to Linear Algebra. 4th ed. Wellesley, MA: Wellesley-Cambridge Press, February 2009. ISBN: 9780980232714.  

Reading assignments are also provided for the newer edition: Introduction to Linear Algebra. 5th ed. Wellesley, MA: Wellesley-Cambridge Press, February 2016. ISBN: 9780980232776.

1The geometry of linear equations1.1-2.11.1-2.1
2Elimination with matrices2.2-2.32.2-2.3
3Matrix operations and inverses2.4-2.52.4-2.5
4LU and LDU factorization2.62.6
5Transposes and permutations2.72.7
6Vector spaces and subspaces3.13.1
7The nullspace: Solving Ax = 03.23.2
8Rectangular PA = LU and Ax = b3.3-3.43.3
9Row reduced echelon form3.3-3.43.3
10Basis and dimension3.53.4
11The four fundamental subspaces3.63.5
12Exam 1: Chapters 1 to 3.4  
13Graphs and networks8.23.5, 10.1
15Projections and subspaces4.24.2
16Least squares approximations4.34.3
17Gram-Schmidt and A = QR4.44.4
18Properties of determinants5.15.1
19Formulas for determinants5.25.2
20Applications of determinants5.35.3
21Eigenvalues and eigenvectors6.16.1
23Markov matrices8.310.3
24Review for exam 2  
25Exam 2: Chapters 1-5, 6.1-6.2, 8.2  
26Differential equations6.36.3
27Symmetric matrices6.46.4
28Positive definite matrices6.56.5
29Matrices in engineering8.110.2
30Similar matrices6.66.2
31Singular value decomposition6.77.1-7.2
32Fourier series, FFT, complex matrices8.5, 10.2-10.310.5, 9.2-9.3
33Linear transformations7.1-7.28.1-8.2
34Choice of basis7.38.3
35Linear programming8.410.4
36Course review  
37Exam 3: Chapters 1-8 (8.1, 2, 3, 5)  
38Numerical linear algebra9.1-9.311.1-11.3
39Computational scienceSee the Web site for 18.085 
40Final exam