## Course Summary

This course is a continuation of Math 126. The focus is mostly on integration in multiple variables. We discuss double and triple integrals; gradients and directional derivatives; line and surface integrals; and the theorems of Green, Stokes, and Gauss. In the second half of the course vector fields will play a key role -- the amazing rendering to the left (credit: writer of the Houdini Gubbins blog) is an example of such a vector field.

## Information

**Instructor:** Josh Southerland

**Office Hours:** M/W 4:30 - 5:30

**Office:** Padelford (PDL), C-552

**Contact:** j s o u t h e r AT u w . e d u

The Math Study Center (COM B-014) is open this summer for 300-level courses, despite what the link may say! Summer hours are from 11:00am to 5:00pm, Monday through Thursday. The MSC opens for summer quarter Tuesday, June 19th. **Please take advantage of the MSC** -- there will be tutors available to answer questions on homework problems you may feel are unclear, and can offer a different perspective on the material we are covering. Please note that ***Clue is closed over the summer!**

## Exams

**Midterm 1:** Monday, July 9th

Solutions

**Midterm 2:** Monday, July 30th

Solutions

**Final Exam:** Friday, August 17th

## Lecture Notes

Chapter 15 section numbering follows the numbering in the 7th Edition of the textbook and aligns with the numbering you see in Webassign. The same is true of the Course Schedule below.

- Lecture 1: 15.2, 15.3
- Lecture 2: 15.3, 15.4
- Lecture 3: 15.5, 15.6
- Lecture 4: 15.6
- Lecture 5: 15.7, Improper Double Integrals
- Lecture 6:15.8, 15.9
- Lecture 7: 15.10
- Lecture 8: 14.5
- Lecture 9: 14.6
- Lecture 10: 16.1, 16.2
- Lecture 11: 16.2
- Lecture 12: 16.3
- Lecture 13: 16.4
- Lecture 13: True / False Solutions
- Lecture 14: 16.5
- Lecture 15: 16.5, 16.6
- Lecture 16: 16.6, 16.7
- Lecture 17: 16.7
- Lecture 18: 16.8
- Lecture 19: 16.9

## Quiz Solutions

- Quiz 1 Solutions: Triple Integrals
- Quiz 2 Solutions: Line Integral Set-up

## Exam Archive

Midterm 1

- Midterm 1 Review Checklist, (prepared by Dr. Loveless, you should also review Improper Double Integrals)
- Sample 1 (Loveless), Solutions
- Sample 2 (Arms), Solutions
- Sample 3 (Folland), Solutions
- Sample 4 (Grigg), Solutions, ignore 1 and 2
- Sample 5 (Wong), Solutions, ignore 3
- Sample 6 (Wong), Solutions
- Sample 7 (Wong), Solutions, ignore 4

Midterm 2

- Sample 1 (Loveless), Solutions, ignore 2
- Sample 2 (Loveless), Solutions, ignore 1,2
- Sample 3 (Taggart), Solutions, ignore 5a, 5b (do 5c!)
- ---> Sample 3 #2 Solution
- Sample 4 (Arms), Solutions
- Sample 5 (Folland), Solutions, ignore 6

Final Exam

- Review Questions (No Solutions will be posted)

## Other Materials

Prepared by Dr. Loveless

- Precalculus Review
- M124 Review
- M125 Review (Integration Techniques 1)
- M125 Review(Integration Techniques 2)
- M125 Review (Riemann Sums)
- M126 Review (Coordinates, Vectors, Dot and Cross Product)
- M126 Review (Lines, Planes, Surfaces, Vector Functions)
- 15.2 Outline
- 15.3, 15.4 Outline
- 15.5, 15.6 Outline
- 15.7 Outline
- Extra Triple Integral Practice
- 15.8, 15.9 Outline
- 15.10 Outline
- 14.5, 14.6 Outline
- 16.1 Outline
- 16.2 Outline
- 16.3 Outline
- 16.4 Outline

## Course Schedule

Week | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|

1 | Lecture: 15.2, 15.3 | No Homework due! | Lecture: 15.3, 15.4 | Homework Due: 15.1, 15.2 | Lecture: 15.5, 15.6 |

2 | Lecture: 15.6 | Homework: 15.4, 15.5 | Lecture: 15.7 | Homework: 15.6, 15.7 | Lecture: 15.8, 15.9 |

3 | Lecture: 15.10 | Homework: 15.8, 15.9 | Holiday! | Homework: 15.10 | Lecture: Review |

4 | Midterm #1 | No Homework | Lecture: 14.5 | No Homework | Lecture: 14.6 |

5 | Lecture: 16.1, 16.2 | Homework: 14.5, 14.6 | Lecture: 16.2 | Homework: 16.1, 16.2 | Lecture: 16.3 |

6 | Lecture: 16.3, 16.4 | Homework: 16.3, 16.4 | Lecture: Review | No homework due! | Lecture: 16.5 |

7 | Midterm #2 | No Homework due! | Lecture: 16.6 | Homework: 16.5, 16.6p1 | Lecture: 16.6, 16.7 |

8 | Lecture: 16.7 | Homework: 16.6p2, 16.7p1, 16.7p2 | Lecture: 16.8 | Homework: 16.8, 16.9(due Sunday) | Lecture: 16.9 |

9 | Lecture: Exam Problems | No Homework due! | Lecture: Exam Problems | No Homework due! | Final Exam |