Lecture Plan
Lecture |
Chapter |
|
F1 | 1.1, 1.3 |
Vectors, Lines, Dot Products |
F2 | 1.4 | Projections |
F3 | 1.5 |
Cross Products, Planes |
F4 | 2.1-2.2 | Gauss-Jordan Elimination |
F5 | 1.2 | Spanning Sets, Linear Independence, Basis |
F6 | 2.3 |
Basis and Dimension |
F7 | 3.1-3.2 | Matrices, Linear Mappings |
F8 | 3.3-3.4 | Nullspace, Range, Rank Theorem |
F9 | 3.5 |
Inverse Matrices. Chapter 3.6 is left to the student |
F10 | 4.1-4.3 |
General Vector Spaces, Subspaces, Bases |
F11 | 4.4 | Coordinate Vectors |
F12 | 4.5-4.6 |
General Linear Mappings and Matrices |
F13 | 5.1-5.2 | Determinants |
F14 | 5.2-5.4 | Cramer's Rule, The Determinant and Volume |
F15 | 6.1 |
Eigenvalues, Eigenvectors |
F16 | 6.2 | Diagonalization |
F17 | 7.1-7.2 | Orthonormal Bases, Gram-Schmidt Procedure |
F18 | 7.2-7.3 |
Approximation Theorem, Method of Least Squares |
F19 |
8.1-8.2 |
Orthogonal Diagonalization, Quadratic Forms |
F20-F21 | Earlier examination problems will be treated | |