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.
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 |