## 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 the flow lines of such a vector field.

## Information

**Instructor:** Josh Southerland

**Office Hours:** Tuesday 5:00-7:00 pm, Friday 3:30-4:30 pm

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

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

Additional help is available outside of class and office hours at CLUE. Visit their website to find out more about drop-in hours.

## Homework & Webassign

For homework, you will need to use Webassign. Professor Taggart how generously typed up instructions for how to use Webassign. You can find them here. When you log into Webassign, use this link (or google "uw Webassign" to get this page).

## Exams

**Midterm 1:** Friday, April 26th

**Midterm 2:** Wednesday, May 22nd

**Final Exam:** Wednesday, June 12th

## Lecture Notes

- Lecture 1: 15.1, 15.2
- Lecture 2: 15.2, 15.3
- Lecture 3: 15.4
- Lecture 4: 15.5
- Lecture 5: 15.5
- Lecture 6: 15.6
- Lecture 7: 15.7, 15.8
- Lecture 8: 15.9
- Lecture 9: 14.5
- Lecture 10: 14.6
- Lecture 11: 16.1
- Lecture 12: 16.2
- Lecture 13: 16.3
- True / False Solutions
- Lecture 14: 16.4
- Clarification: Simple Region
- Lecture 15: 16.5
- Lecture 16: 16.5, 16.6
- Lecture 17: 16.6, 16.7
- Lecture 18: 16.7
- Lecture 19: 16.8
- Lecture 20: 16.9

## Quiz Solutions

- Quiz 1 Solutions: Triple Integrals

## Exam Archive

Midterm 1

- Midterm 1 Review Checklist, (Prepared by Dr. Loveless. Notice that the numbering is based on the 7th edition, not the 8th edition, but we covered the same material.)
- 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
- Sample 2 (Loveless), Solutions, ignore 2
- Sample 3 (Taggart), Solutions, ignore 5b (do 5a, 5c!)
- Sample 3 #2 Solution
- Sample 4 (Arms), Solutions
- Sample 5 (Folland), Solutions, ignore 6

## Other Materials

Prepared by Dr. Loveless. For the outlines below (Chapter 15), the section numbering is based on the 7th Edition of the book. 15.1 and 15.2 in the 7th edition are the same as 15.1 in the 8th edition. For the rest of the sections, the section in the 7th edition is one ahead of the 8th edition (eg. 15.3 in the 7th edition is 15.2 in the 8th).

- 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
- 16.5 Outline
- 16.6 Outline
- Parametrizing Surfaces
- 16.7 Outline
- Extra 16.7 Examples

## Course Schedule

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

1 | Lecture: 15.1, 15.2 | No HW | Lecture: 15.3 | No HW | Lecture: 15.4 |

2 | Lecture: 15.5 | HW: 15.1 - 15.4 | Lecture: 15.5 | No HW | Lecture: 15.6 |

3 | Lecture: 15.7,15.8 | HW: 15.5,15.6 | Lecture: 15.8, 15.9 | HW: 15.7, 15.8, 15.9(S) | Lecture: 15.9 |

4 | Review | No HW | Lecture: 14.5, 14.6 | No HW | Midterm 1 |

5 | Lecture: 14.6 | HW: 14.5 | Lecture: 14.6, 16.1 | No HW | Lecture: 16.2 |

6 | Lecture: 16.2 | HW: 14.5, 16.1 | Lecture: 16.3 | HW: 16.2 | Lecture: 16.3 |

7 | Lecture: 16.4 | HW: 16.3, 16.4 | Lecture 16.5 | HW: 16.5 | Review |

8 | Lecture: 16.6 | No HW | Midterm 2 | No HW | Lecture: 16.7 |

9 | Memorial Day | HW: 16.6p1, 16.6p2 | Lecture: 16.7, 16.8 | HW: 16.7p1, (S) 16.7p2 | Lecture: 16.8 |

10 | 16.9 | HW: 16.8,16.9 | Review | No HW | Review |