**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 |

19 | 15.5 | Gradient and Directional Derivatives |

Midterm #2 | ||

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.

Homework 4, due Friday Oct. 27.

Homework 5, due Friday Nov. 3.

Homework 6, due Friday Nov. 17.

Homework 7, due Friday Dec. 1.

Homework 8, due Friday Dec. 8.