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 ¶