T 9/3 Syllabus review, intro to linear equations
R 9/5 Row reduction and echelon forms
T 9/10 Vectors and the matrix equation Ax = b
R 9/12 Solution sets of linear systems
T 9/17 Linear Independence and spans
R 9/19 Linear Transformations
T 9/24 One-to-one and onto
R 9/26 Matrix operations
T 10/1 Matrix inverses
R 10/3 Subspaces of R^n
T 10/8 The rank theorem
R 10/10 Midterm I
R 10/17 Determinants: Intro
T 10/22 Determinants: Property and applications
R 10/24 Vector spaces
T 10/29 Application: linear recurrence relations
R 10/31 Eigenvectors, eigenvalues
T 11/5 Diagonalization
R 11/7 Application: discrete dynamical systems
T 11/12 Differential equations
R 11/14 Midterm II
T 11/19 Markov Chains and Google PageRank
R 11/21 Inner Products, length, orthogonality
T 11/26 More on inner products
T 12/3 Gram-Schmidt procedure
R 12/5 Least-squares problems
T 12/10 Review / concluding remarks