Week | Material | WebWork Assignments | Written Assignments | Tests |
Sept 3-17 | Overview of the course. Vectors. Sections 1.1, 1.2, 1.3. Exploration: The Cross Product. |
Set1: due Sept 21 | Assignment 1 (ps) (pdf) Solution (ps) (pdf) |
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Sept 17 - Sept 24 | Systems of linear equations. Sections 2.1, 2.2. | Set2: due Sept 28 | Assignment 2 (ps) (pdf) Solution (ps) (pdf) |
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Sept 27- Oct 1 | Spanning sets and linear independence. Section 2.3. | Set3: due Oct 5 | Assignment 3 (ps) (pdf) Solution (ps) (pdf) |
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Oct 1-8 | Matrix operations. Matrix algebra. The inverse of a matrix. Sections 3.1, 3.2, 3.3. | Set4: due Oct 12 | Assignment 4 (ps) (pdf) Solution (ps) (pdf) |
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Oct 8-15 | The inverse of a matrix (continuation). Subspaces, basis, dimension, and rank. Section 3.3, 3.4. | Set5: due Oct 19 | * | * |
Oct 15-22 | Introduction to Linear Transformations: Section 3.5 | Set6: due Nov 2 | Assignment 5 (ps) (pdf) Solution (ps) (pdf) |
Test 1 (pdf) (ps) Solutions (ps) (pdf) |
Oct 22 - Nov 4 | Introduction to eigenvalues and eigenvectors, determinants: Sections 4.1, 4.2. | Set7: due Nov 5 | * | * |
Nov 5 - Nov 11 | Eigenvalues and eigenvectors, similarity and diagonalization: Sections 4.3, 4.4. | Set8: due Nov 16 | Assignment 6 (ps) (pdf) Solution (ps) (pdf) |
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Nov 12-18 | Orthogonality, Orthogonal complements and orthogonal projections, the Gram-Schmidt process. Section 5.1,5.2,5.3. | Set9: due Nov 30 | * | * |
Nov 19-25 | Orthogonal diagonalization of symmetric matrices, applications to quadratic forms: Sections 5.4,5.5. | Set10: due Nov 30 | * | Test 2 (pdf) (ps) Solutions (ps) (pdf) |
Nov 26-Dec 2 | Review | Set11: due Dec 3 (Bonus Set) | * | * |