Calendar

SES # TOPICS KEY DATES
1 The geometry of linear equations  
2 Elimination with matrices  
3 Matrix operations and inverses  
4 LU and LDU factorization  
5 Transposes and permutations Problem set 1 due
6 Vector spaces and subspaces  
7 The nullspace: Solving Ax = 0  
8 Rectangular PA = LU and Ax = b Problem set 2 due
9 Row reduced echelon form  
10 Basis and dimension  
11 The four fundamental subspaces Problem set 3 due
12 Exam 1: Chapters 1 to 3.4  
13 Graphs and networks  
14 Orthogonality Problem set 4 due
15 Projections and subspaces  
16 Least squares approximations  
17 Gram-Schmidt and A = QR Problem set 5 due
18 Properties of determinants  
19 Formulas for determinants  
20 Applications of determinants Problem set 6 due
21 Eigenvalues and eigenvectors  
22 Diagonalization  
23 Markov matrices Problem set 7 due
24 Review for exam 2  
25 Exam 2: Chapters 1-5, 6.1-6.2, 8.2  
26 Differential equations  
27 Symmetric matrices  
28 Positive definite matrices  
29 Matrices in engineering Problem set 8 due
30 Similar matrices  
31 Singular value decomposition Problem set 9 due
32 Fourier series, FFT, complex matrices  
33 Linear transformations  
34 Choice of basis Problem set 10 due
35 Linear programming  
36 Course review  
37 Exam 3: Chapters 1-8 (8.1, 2, 3, 5)  
38 Numerical linear algebra  
39 Computational science  
40 Final exam  

Course Info

Learning Resource Types

theaters Lecture Videos
assignment_turned_in Problem Sets with Solutions
grading Exams with Solutions
co_present Instructor Insights