*Math 275: Calculus III.*

**Instructor:** Andres Caicedo.

**Time:** MTWF 9:40-10:30am.

**Place:** Mathematics/Geosciences building, Room 139.

**Text:** Hass, Weir, Thomas, *University Calculus*.

**Contents:** Chapters 10-14. I will frequently update this entry with more detailed week to week descriptions; if time allows it, additional topics than indicated may be covered.

- August 25-29: Review of Calculus I and II, Chapter 10 up to section 10.5.
- September 2-5: Remainder of section 10.5, 10.6, and beginning of 11.1.
- September 8-12: Sections 11.1-4.
- September 15-19: Remainder of Chapter 11.
- September 29-October 3: Chapter 12 up to section 12.3.
- October 6-10: Remainder of 12.3, 12.4, 12.5, and beginning of 12.6.
- October 13-17: Sections 12.5-12.7 and beginning of 12.8.
- October 20-24:
*We will skip section 12.8*. Sections 12.7, 12.9, 13.1. - November 3-7: Chapter 13 until 13.7 if possible. `Mean value property’ of harmonic functions.
- November 10-14: Sections 13.6-13.8. General version of the Chain rule.
- November 17-21: Sections 14.1-14.4.
- December 1-5: Sections 14.3-14.6.

**Prerequisites:** 175 (Calculus II) or equivalent. Linear algebra would be desired but it is not required.

**Exams:** There will be 2 in-class exams and a comprehensive final exam.

- Exam 1: Friday September 26.
- Exam 2: Friday October 31.
- Final exam: Monday December 15, 10:30am-12:30pm.

Dates and times are non-negotiable. Failure to take a exam will be graded as a score of 0. There will be no make up for the final exam. For the in-class exams, a make up can be arranged if I am notified prior to the exam date and a valid reason is presented; keep in mind that make up exams will be more difficult than regular in-class exams.

**Homework:** There is weekly homework, due Tuesdays at the beginning of the class. I will frequently update this entry with each week’s homework assignment. No late homework will be graded. Failure to turn in a homework set corresponds to a score of 0. The lowest homework score will be dropped at the end of the term. Some homework sets will have a small amount of extra credit points.

- Homework 1, due Wednesday, September 3. Solve the following exercises: From section 10.2, #49, 53. From 10.3, #17, 18. From 10.4, #28. From 10.5, #22. Please explain (and show) all your work. Each exercise is worth 2 points. The set is worth 10 points, and you can get 2 extra credit points.
- Homework 2, due Tuesday, September 9. From section 10.5, solve exercises #45, 46, 64, 66. From section 10.6, exercises #1-12. From the practice exercises for chapter 10, #62. From the additional and advanced exercises for chapter 10, #18. Each exercise from section 10.5 is worth 1 point. The combined question from section 10.6 is worth 2 points. The other two exercises are worth 2 points each, for a total of 10 points.
- Homework 3, due Tuesday, September 16. From section 11.1, exercises #20, 24. From 11.2, #14, 26. From 11.3, #14. From 11.4, #22. The set is worth 10 points, each exercise is worth 2 points, and you can get 2 extra credit points. Please turn in your homework
**at the beginning of lecture, not in the middle of lecture or at the end, not when you arrive to lecture if you arrive late. Starting with this homework set, I’ll be getting pickier on how you write your solutions. Please write them in a reasonable fashion so the person reading them can understand what you are doing without having to go check in the book what formula you are trying to use. Use****words**if necessary. A long string of equations and implications is not particularly readable, unless the reader already knows what you are trying to do, so try to make your solutions a bit more reader-friendly than they have been so far. This will also help you study later. You may lose points even if you have found the correct answer to an exercise but it is not written appropriately. - Homework 4, due Tuesday, September 23. Same remarks as above apply. From section 11.5, solve exercises #8, 18, 26. From 11.6, #4. From the practice exercises for Chapter 11, #10. Each exercise is worth 2 points.
- Homework 5, due Tuesday, October 7. Same remarks as before apply. Section 12.1, exercises 13-18, 44. Section 12.2, exercises 36, 54. Section 12.3, exercises 21, 22, 30. The exercises in section 12.3 are worth 1 point each, the combined exercise 12.1.13-18 is worth 3 points, the other exercises are worth 2 points each; there are two extra credit points.
- Homework 6, due Tuesday, October 14. Same remarks as before apply. Section 12.3, exercises 63, 66, 68, 74-77. Section 12.4, exercises 4, 10, 32, 42-44, 48, 50. This homework will be graded out of 10 points. Each exercise is worth 1 point. You can turn in as many exercises as you want. Indicate the ones you want to be extra credit problems. Of those, 2 will be chosen randomly to be graded, so you can have up to 2 extra credit points.
- Homework 7, due Tuesday, October 21. Same remarks as before apply. Section 12.5, exercises 6, 11, 16, 24, 28. Section 12.6, exercises 2, 6, 14, 18, 40, 56, 57. This homework will be graded out of 10 points. Each exercise is worth 1 point. You may obtain two extra credit points.
- Homework 8, due Tuesday, October 28. Same remarks as before apply. Section 12.7, exercises 2, 20, 36, 40, 44, 46. Section 12.9, exercises 4, 10, 12. Section 13.1, exercises 6, 24. This homework will be graded out of 10 points. Each exercise is worth 1 point. You may obtain one extra credit point.
- Homework 9, due Tuesday, November 11. Same remarks as before apply.
**Section 13.2, e**xercises 5, 17, 39, 47, 54.**Section 13.3, e**xercises 13, 16, 21. S**ection 13.4, e**xercise 27, 36. Each exercise is worth 1 point. - Homework 10, due Tuesday, November 18. The usual considerations apply.
**Section 13.5, e**xercises 4, 8, 19, 22, 30, 45.**Section 13.6,**exercises 6, 11, 24, 30. S**ection 13.7, e**xercises 13, 21, 37, 60, 78, 79.**Section 13.8, e**xercises 1, 6, 16, 21. There are 20 exercises this week. Turn in at least 10. The remaining problems (at most 10) will be due together with a few additional exercises on December 2. Each exercise is worth 1 point. **Homework 11, due Tuesday, December 2. The usual considerations apply. Turn in the problems listed for Homework 10 that you still have pending.****Section 14.1, e**xercises 1-8, 12, 16, 29.**Section 14.2, e**xercises 6, 8, 34, 41.**Section 14.3, e**xercises 2, 6, 12, 17, 20, 34, 38.**Section 14.4, e**xercises 2, 8, 18, 31-35. The combined exercises 14.1.1-8 count as a single problem. Besides the problems pending from last week, there are 23 exercises. Turn in at least 10 of these. The remaining problems (at most 13) will be due together with a few additional exercises on December 9. Each exercise is worth 1 point.- Homework 12, due Tuesday, December 9. The usual considerations apply. Turn in the problems you still have pending. Each exercise is worth 1 point.

**Grading:**

- Homework: 60%.
- Exam 1: 10%.
- Exam 2: 10%.
- Final exam: 20%.

I will then grade on a linear scale:

- If your final score is 90% or higher, you receive an A.
- If it is between 80 and 89%, you receive a B.
- If it is between 70 and 79%, you receive a C.
- If it is between 60 and 69% you receive a D.
- If it is 59% or lower, you receive an F.
- There may be a small curve up if the distribution of scores warrants this. Plus and minus grades might be used for grades near the top or bottom of a grade range.

**Attendance:** Not required, but encouraged. I will use this website to post any additional information, and encourage you to use the comments feature, but I will not post here content covered in class. If you leave a comment, please use your full name, which will simplify my life filtering spam out.

What are your rules for exams regarding notesheet(s) and calculators?

Hi Marcus,

You can use calculators and the textbook.