### Homework for Calculus

Math 30B, Fall 2017, Harvey Mudd College
Prof. Orrison

Unless stated otherwise, Tuesday homework is due at the beginning of class, and Friday homework is due at 1:30 PM in the appropriate inbox outside my office. Also, the Focus Problems listed below are problems that you should sincerely ponder and perhaps even attempt to solve because they will help you better understand important and useful ideas and techniques. Even though you will not be submitting your solutions to the Focus Problems, keep in mind that (1) they (and other related problems in our textbook) will be considered fair game for the midterm and final exam, and (2) sketches of many of the solutions to the Focus Problems appear in the back of our textbook.

1. Due Fri. 9/1: Induction
Reading — Chapter 2, Communicating Mathematics through Homework, and Prof. Su's Advice.
Focus Problems — (Chp. 2) 1(i), 2(i), 5, 11, 19.
Problems — (Chp. 2) 1(ii), 2(ii), 10, 20, 26.
Note: For Problem 2(ii), use induction to justify your formula. For Problem 20, use the principle of complete induction. Also, remember there is a copy of the reading in the resources folder on our course Sakai website.

2. Due Tue. 9/5: Limits
Focus Problems — (Chp. 5) 3(i), 3(iii), 3(vii), 7, 9.
Problems — Homework 2.

3. Due Fri. 9/8: Limits and Continuity
Focus Problems — None. Instead, use the time to delve deeply into this week's reading.
Problems — (Chp. 5) 3(ii), 3(vi), 3(viii). (Chp. 6) 3, 7.

4. Due Tue. 9/12: Derivatives and Differentiation
Focus Problems — (Chp. 10) 1(i), 1(iii), 1(v), 1(vii), 2(i), 2(ii).
Problems — (Chp. 9) 14, 15(a), 22(a). (Chp. 10) 2(ii), 2(iv).

5. Due Fri. 9/15: Significance of the Derivative
Focus Problems — (Chp. 11) 1(i), 1(iii), 1(v), 10, 11.
Problems — (Chp. 11) 13, 15, 16, 17, 35.

6. Due Tue. 9/19: Integration
Focus Problems — (Chp. 13) 1, 2, 9, 13, 23(a, b).
Problems — (Chp. 13) 8(ii), 8(iv), 16, 17, 29.
Note: For Problems 8(ii) and 8(iv), you need only set up the integrals and evaluate them.

7. Due Tue. 9/26: The Logarithm and Exponential Functions
Reading — Chapter 18, and skim Chapter 15.
Focus Problems — (Chp. 18) 1(i, iii, v, ix), 2(b(ii)), 2(b(iii)), 5(i, iii, v), 8(a, c, e).
Problems — (Chp. 18) 1(ii, iv, vi, x), 2(b(i)), 3, 5(ii, iv, vi), 8(b, d, f).
Note — This assignment is computationally heavy. Make sure to start early, do not rush, and when appropriate, box your answers so they are easy to find.

8. Due Fri. 9/29: Partial Derivatives
Reading — See the slides that have been uploaded to our course Sakai website.
Focus Problems — None.
Problems — Homework 8.

9. Due Tue. 10/3: Double and Triple Integrals
Reading — See the slides that have been uploaded to our course Sakai website.
Focus Problems — None.
Problems — Homework 9.

10. Due Fri. 10/6: Approximation by Polynomial Functions
Reading — Chapter 20, and skim Chapter 19.
Focus Problems — (Chp. 20) 1(i, iii, v, vii), 2(i, iii).
Problems — (Chp. 19) 2(ii, iv), 3(ii, iv). (Chp. 20) 1(ii, iv, vi), 2(ii, iv), 7(ii, iv), .
Note — This assignment is computationally heavy. Make sure to start early, do not rush, and when appropriate, box your answers so they are easy to find.

11. Due Tue. 10/10: Sequences and Series