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 | |