﻿ Math 317

# Calculus IV (MATH 317, 2nd summer term 2015)

Time: Mon/Wed 10:30-12:30, Tue/Thu 12:30-14:00
Place: LSK 201
Office hours: Mon/Tue/Wed 14:00-15:00 in LSK 300C.
Tutoring hours (with a TA): Mon/Wed 12:50-13:50 at the Math Learning Centre LSK 301.
Instructor's e-mail: Replace "nowhere" with "ubc" in ufirst@math.nowhere.ca.

## Syllabus

• Textbook: "Multivariable Calculus" by James Stewart, edition 7E
• Topics:
• Vector valued functions of one variable (Chapter 13):
Parameterized curves, velocity, acceleration, arc length (includes curvature, normal and binormal vectors, tangential and normal components of acceleration).
• Vector valued functions of several variables (Chapter 16):
Vector fields, line integrals, conservative fields, fundamental theorem of line integrals, Green's theorem, gradient, curl, divergence, parameterized surfaces, suface area, surface integrals, Stoke's theorem, divergence theorem.

• final exam (50%),
• two midterms (30%),
• homework and quizzes (20%),
or the final exam grade minus 10 points (whichever is higher).
The second option is a safety net --- even if you did poorly during the semester, you can still have a good grade by doing well on the final exam.
There will be no webwork.
Final grades may be subject to scaling.

## Homework and Quizzes

Homework will be published every Monday and Thursday. On the following Monday or Thursday, either the written homework will be collected to be marked, or there will be a 10-15 minutes quiz based on the homework. This will be decided randomly in class.
The two lowest homework/quiz grades will be dropped.

• Homework 1 (due on July 9): 13.1: #8, 10, 18, 22, 24, 26, 28, 30, 40, 42, 44. 13.2: #6, 8, 10, 12, 16, 18, 22, 24, 26, 28, 34, 52. Solution: A, B, C, D.
• Homework 2 (due on July 13): 13.3: #2, 4, 14, 16, 18, 22, 24, 28, 42. 13.4: #4, 6, 10, 12, 16, 18(a), 20, 26, 38, 42. Solution: A, B, C.
• Homework 3 (due on July 16): 13.4: 32, 44. Exercise at the end of Chapter 13 (p. 898): 8, 12, 20. 16.1: 4, 12, 16, 18, 22, 24. 16.2: 2, 4. 16.3: 4, 6. Solution: A, B, C.
• Homework 4 (due on July 20): 16.1: #26. 16.2: #6, 8, 10, 14, 16, 18, 20, 22, 32(a), 40. 16.3: #8, 14, 16, 20. Solution: A, B, C.
• Homework 5 (due on July 23): 16.3: 12, 18, 24, 28, 36. Exercises at the end of chapter 16 (p. 1161): 4, 12, 14. Solution: A, B.
• Homework 6 (due on July 27): 16.4: 2, 4, 6, 10, 12, 14, 18, 28. Exercises at the end of chapter 16 (p. 1161): 16. Solution: A, B.
• Homework 7 (due on July 30): 16.5: #2, 4, 8, 14, 18, 20, 26, 27, 28, 29, 30. 16.6: #14, 20, 22, 24, 26, 34, 36, 40, 42, 44. Solution: A, B, C, D, E.
• Homework 8 (due on August 4): 16.6: #46, 48. 16.7: #6, 8, 10, 16, 22, 24, 26, 30, 38, 48. The homework will be collected; there will be no quiz (because of the midterm).

## Midterms

There will be two midterms, each determining 15% of the final grade.
Please report conflicts and hardships as soon as possible.

### Midterm 1

• Time and place: July 21 at 12:30-13:45 (75 minutes), LSK 201.
• Material: Chapter 13: All. Chapter 16: 16.1, 16.2, 16.3 only until page 1100 (including). You also need to know how to check if a field is conservative and find a potential function.
• Solution: Midterm I solution.
• Practice Midterm: practice midterm (solution). (Some corrections were made on July 20 at 15:40.)
• Midterms from previous years: 2015 (solution), 2011 (solution), 2008. (Notice that the material may be different.)

### Midterm 2

• Times and place: August 6 at 12:30-13:45 (75 minutes), LSK 201.
• Material: Chapter 16, until 16.7 (including). You also need to know Chapter 13, but the emphasis will be on topics from Chapter 16.
• Practice Midterm: practice midterm (solution; there is a computational mistake at the second to last line in page 7).
• Midterms from previous years: 2015 (solution), 2011 (solution). (Notice that the material may be different.)

## Final Exam

• Time: August 20 at 8:30am.
• Location: IBLC 261.