Homework for Calculus and Linear Algebra

Math 25B, Harvey Mudd College
Profs. Dagan Karp and Michael Orrison



Unless stated otherwise, all homework is due at the beginning of class. Also, the Focus Problems listed below are problems that you should sincerely attempt to solve. They are good problems with which to grapple because they will help you better understand important and useful ideas and techniques. You will not submit your Focus Problem solutions, but be aware that the ideas addressed in the Focus Problems may appear on quizzes and exams.
1. Due Fri. 9/3: Vectors and Vector Spaces
2. Due Wed. 9/8: Systems of Linear Equations
3. Due Fri. 9/10: Methods for Solving Linear Systems
4. Due Wed. 9/15: Spanning Sets, Linear Independence, and Matrix Operations
5. Due Fri. 9/17: Matrix Algebra and the Inverse of a Matrix
6. Due Wed. 9/22: Subspaces, Basis, Dimension, and Rank
7. Due Fri. 9/24: In-class Quiz
8. Due Wed. 9/29: Linear Transformations, Eigenvalues, and Eigenvectors
9. Due Fri. 10/1: Determinants
10. Due Wed. 10/6: Eigenvalues and Eigenvectors
11. Due Fri. 10/8: Similarity and Diagonalization
12. Due Tue. 10/12: Applications of Linear Algebra
13 = Calc. 1. Due Fri. 10/22: Epsilon-Delta 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