Syllabus updated 11/2
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Week 1 (9/21-9/25):
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| L1: Vectors in Rn. |
| L2: Linear combinations and spans. |
| L3: Linear independence. |
| L4: Dot products and cross products. |
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Week 2 (9/28-10/2):
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| L5: Systems of linear equations. |
| L6: Matrices. |
| L7: Matrix-vector products. |
| L8: Null space. |
| L9: Column space. |
| L10: Subspaces of Rn. |
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Week 3 (10/5-10/9): 10/9 Drop deadline
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| L11: Basis for a subspace. |
| L12: Dimension of a subspace. |
| L13: Linear transformations. |
| L14: Examples of linear transformations. |
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Week 4 (10/12-10/16):
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| L15: Composition and matrix multiplication. |
| L16: Inverses. |
| Midterm
Exam 1 on Thursday 10/15 !! |
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Week 5 (10/19-10/23):
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| L17: Determinants. |
| L21: Systems of coordinates. |
| L23: Eigenvectors. |
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Week 6 (10/26-10/30):
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- L25: Symmetric matrices.
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- Reference for matrix transpose: p124-5
- Reference for orthonormal basis: p162
- Reference for orthogonal matrix: p164-5
- L26: Quadratic forms.
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| C2.1: Functions of several variables. |
| C3.1: Parametrized Paths, Motion |
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Week 7 (11/2-11/6)
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| C2.2: Continuity and limits. |
| C2.3: Derivative. |
| C2.4: Partial derivatives of higher order. |
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Week 8 (11/9-11/13):
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| C2.5: Chain Rule. |
| C2.6: Directional derivative, gradient. |
| Midterm
Exam 2 on Thursday 11/12 !! |
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Week 9 (11/16-11/20):
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| C4.1: Differentials and Taylor's theorem. |
| C4.2: Extrema of Functions. |
| C4.3: Lagrange multipliers. |
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Week 10 (11/30-12/4): Last opportunity to arrange Incomplete in a course, at last class.
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| C4.4: Some applications of extrema. |
| Review |
| Google Lecture (Last Class) |
| Final
exam on Monday 12/7!! |
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