General information | Syllabus | HW (Cho) | HW (Cai) | HW (Bourke) | Exams |
Lectures | Sections in Text | Brief Description |
---|---|---|
Mon 3/30 | 1.1, 1.2 | Systems of Linear Equations, Row Reduction and Echelon Forms |
Wed 4/1 | 1.3 | Vector Equations |
Fri 4/3 | 1.4, 1.5 | The Matrix Equation Ax = b, Solution Sets of Linear Systems |
Mon 4/6 | 1.6 | Applications of Linear Systems |
Wed 4/8 | 1.7 | Linear Independence |
Fri 4/10 | 1.8 | Introduction to Linear Transformations |
Mon 4/13 | 1.9 | The Matrix of a Linear Transformation |
Wed 4/15 | 2.1 | Matrix Operations |
Fri 4/17 | 2.2, 2.3 | The Inverse of a Matrix, Characterizations of Invertible Matrices |
Mon 4/20 | 2.5 | Matrix Factorizations |
Wed 4/22 | 3.1, 3.2, 3.3 | Determinants, Cramer's Rule, Volume, and Linear Transformations |
Wed 4/22 | EXAM 1 4-6pm in TBA | |
Fri 4/24 | 4.1, 2.8 | Vector Spaces and Subspaces, Subspaces of Rn |
Mon 4/27 | 4.2 | Null Spaces, Column Spaces, and Linear Transformations |
Wed 4/29 | 4.3 | Linearly Independent Sets; Bases |
Fri 5/1 | 4.4 | Coordinate Systems |
Mon 5/4 | 4.5 | The Dimension of a Vector Space |
Wed 5/6 | 4.6, 2.9 | Rank, Dimension and Rank |
Fri 5/8 | 4.7 | Change of Basis |
Mon 5/11 | 4.9 | Applications to Markov Chains |
Wed 5/13 | 5.1 | Eigenvectors and Eigenvalues |
Fri 5/15 | 5.2 | The Characteristic Equation |
Fri 5/15 | EXAM 2 4-6pm in TBA | |
Mon 5/18 | 5.3 | Diagonalization |
Wed 5/20 | 5.4 | Eigenvectors and Linear Transformations |
Fri 5/22 | 6.1, 6.2 | Inner Product, Length, and Orthogonality, Orthogonal Sets |
Mon 5/25 | MEMORIAL DAY (no class) | |
Wed 5/27 | 6.3, 6.4 | Orthogonal Projections, The Gram-Schmidt Process |
Fri 5/29 | selected applications | |
Mon 6/1 | selected applications | |
Fri 6/5 | FINAL 3--6pm |
John Bourke
Last updated June 17, 2019 14:18:34 EDT