**Lectures:** MWF 12:00-12:50 in Mathematical Sciences 4000A.

**Instructor:** Rowan Killip, 6935 Math Sciences Building.

**Office Hours:** Mon 10:30--11:50am and Wed 9:30--10:50am in 6943 Math Sciences Building.

**TAs:** Allen Boozer,
Steven Gagniere, and
Francis White

**Exams:** Two in-class midterms: Wednesday, January 31st and Wednesday, February 28th. Three-hour final: Sunday, March 18, 3:00pm-6:00pm.

*Bring student ID to both midterms and the final. There will be no make-up exams.*

*No calculators, notes, or books will be permitted in any exam.*

**Homework:** There will be weekly homework. It is due *in class*. Further information is given below.

- No late homework will be accepted.
- The reader will grade three problems each out of five points.
- Up to five further points will be awarded based on the proportion of the remaining problems that are completed.
- Write your name, ID number, and TA section at the top of the first page.
- Staple your pages!
- Homework will be returned in TA section.
- The weakest homework score will be omitted.

**Grading:** Homework, 14%; Each midterm 17%; Final 52%. No exceptions.

**Syllabus:** General Course Outline. Here is our expected progress:

Lecture |
Sections |
Topics |

1 | 16.1 | Integrals in two variables and iterated integrals |

2 | 16.2 | Integrals over general regions |

3 | 16.2, 16.3 | Integrals over general regions (cont.), triple integrals |

4 | 16.3, 12.3 | Triple integrals, planar polar coordinates |

5 | 16.4, 13.7 | Double integrals in polar coordinates, cylindrical and spherical coord's. |

6 | 16.4 | Triple integrals in cylindrical and spherical coordinates |

7 | 16.5 | Applications of double & triple integrals (mechanics) |

8 | 16.5 | Applications of double & triple integrals (probability) |

9 | Review | |

10 | 16.1-16.5 | Midterm 1 |

11 | 16.6 | Change of variables in double integrals |

12 | 16.6 | Change of variables in double/triple integrals |

13 | 17.2 | Scalar line integrals |

14 | 17.1 | Vector fields |

14 | 17.2 | Vector line Integrals |

15 | 17.3 | Conservative Vector Fields |

16 | 17.3 | Conservative Vector Fields |

17 | 17.4 | Parametric Surfaces and scalar surface integrals |

18 | 17.4-5 | Scalar and vector surface integrals |

19 | 17.5 | Vector surface Integrals |

21 | 16.1--17.5 | Midterm 2 |

22 | 18.1 | Green's Theorem |

23 | 18.1 | Green's Theorem |

24 | 18.3 | The Divergence Theorem |

25 | 18.3 | The Divergence Theorem |

26 | 18.2 | Stokes' Theorem |

27 | 18.2 | Stokes' Theorem |

28 | Review | |

16.1--18.3 | Final |

Homework 1. Due Friday Jan 12.

Homework 2. Due Friday Jan 19.

Homework 3. Due Friday Jan 26.

Homework 4. Due Friday Feb 2. Midterms for Lecture 1 and Lecture 3.

Homework 5. Due Friday Feb 9.

Homework 6. Due Friday Feb 16.

Homework 7. Due Friday Mar 2.