**Lectures:** MWF 9:00-9:50 in Humanities A51.

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

**Office Hours:** Mon 10:00--11am and Wed 11--12 in 6935 Math Sciences Building.

**TAs:** Derek Levinson (OH: T2-3 in MS 3975),
Allen Boozer (OH: Th 11-12 in MS 2344), and
Alan Zhou (OH: T3-4 PM in MS 2350).

**Exams:** Two in-class midterms: Wednesday, October 25th and Wednesday, November 15th. Three-hour final: Monday, December 11, 11:30am-2:30pm.

*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, 15%; Each midterm 15%; Final 55%.

**Syllabus:** General Course Outline.

Here is our expected progress:

Lecture |
Sections |
Topics |

1 | 13.1 | Vectors in the Plane |

2 | 13.2 | Vectors in Three Dimensions |

3 | 13.3 | Dot Product |

4 | 13.4 | Cross Product |

5 | 13.5 | Planes in Three-Space |

6 | 12.1 | Parametric equations |

7 | 14.1 | Vector-Valued Functions |

8 | 14.2 | Calculus of Vector-Valued Functions |

9 | 14.3,4 | Arc-Length and Speed; Curvature |

10 | 14.5,6 | Motion in Three-Space; Planetary Motion |

Midterm #1 | ||

11 | 15.1 | Functions of Two or More Variables |

12 | 13.6 | A Survey of Quadric Surfaces |

13 | 15.2 | Limits and Continuity |

14 | 15.2 | Limits and Continuity |

15 | 15.3 | Partial Derivatives |

16 | 15.3 | Partial Derivatives |

17 | 15.4 | Differentiability and Tangent Planes |

18 | 15.4 | Differentiability and Tangent Planes |

Midterm #2 | ||

19 | 15.5 | Gradient and Directional Derivatives |

20 | 15.5 | Gradient and Directional Derivatives |

21 | 15.6 | Chain Rule |

22 | 15.6 | Chain Rule |

23 | 15.7 | Optimization |

24 | 15.7 | Optimization |

25 | 15.8 | Lagrange Multipliers |

26 | 15.8 | Lagrange Multipliers |

Final |

Homework 1, due Friday Oct. 6.

Homework 2, due Friday Oct. 13.

Homework 3, due Friday Oct. 20.