Calendar


LEC # Topics Key Dates
1 The Geometry of Linear Equations
2 Elimination with Matrices
3 Matrix Operations and Inverses
4 LU and LDU Factorization Problem set 1 due
5 Transposes and Permutations
6 Vector Spaces and Subspaces
7 The Nullspace: Solving Ax = 0 Problem set 2 due
8 Rectangular PA = LU and Ax = b
9 Row Reduced Echelon Form
10 Basis and Dimension Problem set 3 due
11 The Four Fundamental Subspaces
12 Exam 1: Chapters 1 to 3.5
13 Graphs and Networks
14 Orthogonality
15 Projections and Subspaces
16 Least Squares Approximations Problem set 4 due
17 Gram-Schmidt and A = QR
18 Properties of Determinants
19 Formulas for Determinants Problem set 5 due
20 Applications of Determinants
21 Eigenvalues and Eigenvectors
22 Exam Review Problem set 6 due
23 Exam 2: Chapters 1-5
24 Diagonalization
25 Markov Matrices
26 Fourier Series and Complex Matrices
27 Differential Equations
28 Symmetric Matrices Problem set 7 due
29 Positive Definite Matrices
30 Matrices in Engineering Problem set 8 due
31 Singular Value Decomposition
32 Similar Matrices
33 Linear Transformations Problem set 9 due
34 Choice of Basis
35 Exam Review
36 Exam 3: Chapters 1-8 (8.1, 2, 3, 5)
37 Fast Fourier Transform
38 Linear Programming
39 Numerical Linear Algebra
40 Final Exams