This class schedule is approximate. That is, it is the plan for future classes, and a brief summary of past classes. You should attend class and do the homework for a better understanding of what is covered.
| Week | Monday | Tuesday | Wednesday | Thursday |
|---|---|---|---|---|
| 1 |
June 5 § § 1.1, 1.2: Introduction to Vectors Syllabus [pdf] |
June 6 § 1.2: More on Vectors § § 2.1, 2.2: Linear Equations & Elimination |
June 7 § 2.3: Elimination with Matrices |
June 8 § 2.4: Matrix Operations § 2.5: Inverse Matrices |
| 2 |
June 12 § 2.6: LU Factorization |
June 13 § 2.7: Transposes & Permuations |
June 14 § 3.1: Spaces of Vectors |
June 15 § 3.2: The Nullspace |
| 3 |
June 19 § 3.3: Rank; Row Reduced Form (today's handout) |
June 20 § 3.4: Solution of Ax=b |
June 21 § 3.5: Independence, Basis, & Dimension (today's handout) |
June 22 § 3.6: Dimensions of the Four Subspaces (today's handout) |
| 4 |
June 26 Review |
June 27 Exam One |
June 28 § 4.1: Orthogonality of the Four Subspaces |
June 29 § 4.2: Projections |
| 5 |
July 3 University Holiday No class |
July 4 Independence Day No class |
July 5 § 4.3: Least Squares Approximations |
July 6 § 4.4: Orthogonal Bases; Gram-Schmidt |
| 6 |
July 10 § 4.4: More on Gram-Schmidt § 5.1: Determinants (today's handout) |
July 11 § 5.2: Permuations & Cofactors (today's handout) |
July 12 § 5.3: Cramer's Rule, Inverses, Volumes |
July 13 § 6.1: Eigenvalues (today's handout, corrected) |
| 7 |
July 17 Review |
July 18 Exam Two |
July 19 § 6.2: Diagonalizing a Matrix |
July 20 § 6.3: Differential Equations (today's handout, corrected, with answers) |
| 8 |
July 24 § 6.4: Symmetric Matrices § 6.5: Positive Definite Matrices |
July 25 § 6.5: Positive Definite Matrices § 6.6: Similar Matrices |
July 26 § 6.7: Singular Value Decomposition (today's handout, corrected, with answers) |
July 27 Review |
| 9 |
July 31 Exam Three Last Day Of Classes |