| Week | Chapter/Topic/Lab |
|---|
| Test #1 (Chapters 1, 2, 3) |
| 3 | Ch. 4 Vector Spaces\n4.1 Vectors in Rn\n4.2 Vector Spaces\n4.3 Subspaces of a Vector Space |
| 4 | 44 Spanning Sets and Linear Independence
4.5 Basis and Dimension
4.6 Rank of a Matrix and Systems of Linear Equations |
| 5 | 4.7 Coordinates and Change of Basis
4.8 Applications of Vector Spaces |
| 6 | Ch. 5 Inner Product Spaces\n5.1 Length and Dot Product in Rn\n5.2 Inner Product Spaces |
| 7 | 5.3 Orthonormal Bases: Gram-Schmidt Process (if time permits)
5.4 Mathematical Models and Least Square Analysis (if time permits) |
| 8 | 5.5 Applications of Inner Product Spaces
Test #2 (Chapters 4, 5) |
| 9 | Ch. 6 Linear Transformations
6.1 Introduction to Linear Transformations
6.2 The Kernel and Range of a Linear Transformation |
| 10 | 6.3 Matrices for Linear Transformations
6.4 Transition Matrices and Similarity |
| 11 | 6.5 Applications of Linear Transformations
Ch. 7 Eigenvalues and Eigenvectors
7.1 Eigenvalues and Eigenvectors |
| 12 | 7.2 Diagonalization
7.3 Symmetric Matrices and Orthogonal Diagonalization |
| 13 | 7.4 Applications of Linear Transformations
Ch. 8 Complex Vector Spaces. Abstract Vector Spaces
8.1 Complex Numbers (review)
8.2 Conjugates and Division of Complex Numbers (review) |
| 14 | 8.3 Polar Form and DeMoivre’s Theorem (review)
8.4 Complex Vector Spaces and Inner Products.
Abstract Vector Spaces |
| 15 | Make up week (if time permits) |
| 16 | Final Exam
Test #3 (Chapters 6, 7, 8) |