1. Due Fri. 9/3: Vectors and Vector Spaces

Reading — Sections 1.1, 1.2, a note about
Communicating Mathematics through Homework, and Prof. Su's Notes on Writing Mathematics Well.
Focus Problems — (1.2) 17, 18, 52, 56, 58, 60.
Problems — (1.2) 40, 42, 48, 50, 68, 70.
2. Due Wed. 9/8: Systems of Linear Equations

Reading — Section 2.1 and Appendix B (Mathematical Induction).
Focus Problems — (2.1) 8, 10, 12, 22, 38, 40.
Problems — (1.2) 74. (2.1) 14, 16, 24, 34, 36.
3. Due Fri. 9/10: Methods for Solving Linear Systems

Reading — Section 2.2.
Focus Problems — (2.2) 16, 19, 21, 23, 24, 40.
Problems — (2.2) 12, 14, 26, 28, 30, 42.
4. Due Wed. 9/15: Spanning Sets, Linear Independence, and Matrix Operations

Reading — Sections 2.3 and 3.1.
Focus Problems — (2.3) 4, 10, 22, 26, 44, 46.
Problems — (2.3) 8, 12, 24, 42. (3.1) 26, 38.
5. Due Fri. 9/17: Matrix Algebra and the Inverse of a Matrix

Reading — Sections 3.2 and 3.3.
Focus Problems — (3.1) 18, 24. (3.2) 26, 33. (3.3) 52, 54.
Problems — (3.2) 32, 36. (3.3) 18, 42, 44, 46.
6. Due Wed. 9/22: Subspaces, Basis, Dimension, and Rank

Reading — Section 3.5.
Focus Problems — (3.5) 60, 61, 62, 63, 64, 65.
Problems — (3.5) 12, 18, 20, 46, 48, 58.
7. Due Fri. 9/24: Inclass Quiz

During class, you'll take a 45 minute quiz, which we will think of as "Homework 7." It will be worth 6 homework points, and most of the problems will be based on Focus Problems we have seen to date.
8. Due Wed. 9/29: Linear Transformations, Eigenvalues, and Eigenvectors

Reading — Sections 3.6 and 4.1.
Focus Problems — (3.6) 4, 6, 8, 10. (4.1) 24, 28.
Problems — (4.1) 26, 30, 35, 36, 37, 38.
9. Due Fri. 10/1: Determinants

Reading — Section 4.2.
Focus Problems — (4.2) 2, 4, 10, 40, 46, 56.
Problems — (4.2) 6, 8, 12, 14, 38, 54.
10. Due Wed. 10/6: Eigenvalues and Eigenvectors

Reading — Section 4.3.
Focus Problems — (4.3) 2, 4, 20, 26, 28, 40.
Problems — (4.3) 6, 8, 22, 24, 32, 34.
11. Due Fri. 10/8: Similarity and Diagonalization

Reading — Section 4.4.
Focus Problems — (4.4) 2, 4, 6, 24, 26, 28.
Problems — (4.4) 10, 12, 42, 44, 46, 48.
12. Due Tue. 10/12: Applications of Linear Algebra

Together with two other classmates, prepare a five minute presentation about an application of linear algebra that you find particularly interesting. Your presentation should be crafted so that your classmates can follow it using the knowledge they have gained as students in Math 25.
Your presentation should use 35 PDF slides that can be projected using a computer, and each member of your group should speak for roughly the same amount of time. Please email your slides to your instructor by 8:00 PM on Tuesday 10/12, and be prepared to speak on Wednesday or Friday.
13 = Calc. 1. Due Fri. 10/22: EpsilonDelta Limits
14 = Calc. 2. Due Wed. 10/27: Continuity (single variable)
15 = Calc. 3. Due Fri. 10/29: Derivatives and Partial Derivatives
16 = Calc. 4. Due Wed. 11/3: (Multivariable) Chain Rule, Tangent Plane, MVT, IVT.
17 = Calc. 5. Due Fri. 11/5: More MVT, L'Hopital's Rule
18 = Calc. 6. Due Wed. 11/10: Integration: Definition and FTOC
19 = Calc. 7. Due Fri 11/12: Natural Logarithms and Exponentials
20 = Calc. 8. Due Wed 11/17: Taylor Polynomials
21 = Calc. 9. Due Fri 11/19: Taylor Series and Multivariable Approximations
22 = Calc. 10. Due Wed 12/1: Series Convergence
23 = Calc. 11. Due Wed 12/3: The Derivative Matrix and Multivariable Linear Approximations
24 = Calc. 12. Due Wed 12/8: Double Integration