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The schedule of topics is tentative and will be adjusted as necessary.
- Week 1 (9/21-9/25)
- [9/25 Preliminary study list deadline]
- [9/22 No discussion section; 9/23 first lecture; 9/24 first discussion section]
Chapter 1: Vectors and related algebra (addition, scalar multiplication)
Chapter 2: Vector geometry (length, dot product, angle) and correlation
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- Week 2 (9/28-10/2)
Chapter 3: Many ways to think about planes in space (algebraic and geometric)
Chapter 4: Span, subspace, and dimension
Chapter 5: Basis and orthogonality
Chapter 6: Projection onto subspaces
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- Week 3 (10/5-10/9)
- [10/9 Final study list deadline]
Chapter 7: Application of projections: linear regression
Chapter 8: Multivariable functions, level sets, and contour plots
Chapter 9: Partial derivatives and how to visualize them
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- Week 4 (10/12-10/16)
- [10/15 Exam 1, 7:30-9:30pm; covers through end of Week 3 topics listed above]
Chapter 10: Multivariable extrema via critical points
Exam 1 Review
Chapter 11: Gradient and linear approximation
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- Week 5 (10/19-10/23)
Chapter 12: Solving constrained optimization via Lagrange multipliers
Chapter 13: Linear functions, matrices, and the derivative matrix
Chapter 14: Linear transformations and matrix multiplication
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- Week 6 (10/26-10/30)
Chapter 15: Matrix algebra
Chapter 16: Applications of matrix algebra: Markov chains and feedback loops
Chapter 17: Multivariable Chain Rule
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- Week 7 (11/2-11/6)
- [11/5 Exam 2, 7:30-9:30pm; covers through end of Chapter 17 topics]
- [11/3 Democracy Day; no section]
Chapter 18: Matrix inverses and multivariable Newton's method
Exam 2 Review
Chapter 19: Linear independence and the Gram-Schmidt process
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- Week 8 (11/9-11/13)
- [11/13 Course withdrawal and change of grading basis deadline]
Chapter 20: Matrix transpose, orthogonal matrices, and quadratic forms
Chapter 21: Systems of linear equations, column space, and null space
Chapter 22: Matrix decompositions (LU and QR)
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- Week 9 (11/16-11/20)
Chapter 23: Eigenvalues and eigenvectors
Chapter 24: Applications of eigenvalues: matrix powers, Spectral Theorem, and geometry of quadratic forms
Chapter 25: Hessian matrix and quadratic approximation
Chapter 26: Application of Hessian: multivariable second derivative test for local extrema
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- Week 10 and Exam Week (11/30-12/4)
- [12/3 Last section; 12/4 last lecture (last opportunity to arrange Incomplete)]
- [12/8 Final Exam, 12:15-3:15pm; comprehensive through end of Chapter 26 topics, but more heavily emphasizes topics since Exam 2]
Chapter 26, leftovers
Chapter 27: More applications of eigenvalues (especially singular value decomposition) (not covered on final exam)
End of Quarter Review
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