Math 251:F6, Syllabus and General Information, Summer 2009
| Lecture | Date | Topic(s) and text sections | Suggested problems |
|---|---|---|---|
| 1 | 6/22 | 12.1 Vectors in the Plane 12.2 Vectors in Three Dimensions |
12.1: 5, 9, 11, 15, 21,
40, 47 12.2: 11, 13, 19, 25, 27, 28, 31, 48, 51, |
| 2 | 6/24 | 12.3 Dot Product and the Angle Between Two Vectors 12.4 The Cross Product |
12.3: 1, 13, 21, 29, 31,
52, 57, 63 12.4: 1, 5, 13, 20, 25, 26, 43, 44 |
| 3 | 6/26 | 12.5 Planes in Three-Space | 12.5: 1, 9, 11, 15, 25, 26, 31, 32, 53 |
| 4 | 6/29 | 13.1 Vector-Valued Functions 13.2 Calculus of Vector-Valued Functions |
13.1: 5, 13, 15,
18 13.2: 4, 14, 30, 31, 33, 41, 49, 50 |
| 5 | 7/1 | 13.3 Arc Length and Speed 13.4 Curvature 13.5 Motion in Three-Space |
13.3: 3, 9, 13,
14 13.4: 1, 7, 17, 21, 22 13.5: 3, 6, 32 |
| 6 | 7/3 | no class | |
| 7 | 7/6 | Quiz 1 14.1 Functions of Two or More Variables 1 4.2 Limits and Continuity in Several Variables Assign Maple Lab 1 |
14.1: 7, 20, 23, 27, 36, 40 14.2: 5, 15, 27, 35, 36 |
| 8 | 7/8 | Review of Quiz 1 14.3 Partial Derivatives 14.4 Differentiability, Linear Approximation and Tangent Planes |
14.3: 3, 19, 21, 39, 47,
50, 53 14.4: 3, 4, 7, 15, 27, 33, 34 |
| 9 | 7/10 | 14.5 The Gradient and Directional Derivatives 12.6 Quadric surfaces |
14.5: 7, 13, 27, 31, 32,33, 37, 39, 40, 43 |
| 10 | 7/13 | 14.6 The Chain Rule 14.7 Optimization in Several Variables Assign Maple Lab 2; Lab 1 is due |
14.6: 1, 5, 7, 17, 20, 23, 27, 30 |
| 11 | 7/15 | 14.7 Optimization in Several Variables 14.8 Lagrange Multipliers: Optimizing with a Constraint Review for Exam 1 |
14.7: 1, 3, 7, 17, 19,
24, 25, 27, 28, 29
14.8: 2, 7, 11, 12, 13, 15, 16 |
| 12 | 7/17 | Exam 1 | |
| 13 | 7/20 | Review of Exam 1 15.1 Integration in Several Variables Assign Maple Lab 3; Lab 2 is due |
15.1: 10, 15, 23, 25, 33, 37, 44 |
| 14 | 7/22 | 15.2 Double Integrals over More General Regions | 15.2: 3, 5, 11, 25, 32, 37, 43, 45, 49, 54, 59 |
| 15 | 7/24 | 15.3 Triple Integrals 12.7 Cylindrical and Spherical Coordinates |
15.3: 3, 5, 11, 15, 17, 25,
30, 33, 34 12.7: 1, 5, 23, 31, 41, 43, 48, 53 |
| 16 | 7/27 | 15.4 Integration in Polar, Cylindrical, and
Spherical Coordinates 15.5 Change of Variables Quiz 2 Assign Maple Lab 4; Lab 3 is due |
15.4: 1, 5, 9, 19, 23, 27, 31, 37, 39, 42, 47, 51, 59
, 62 15.5: 1, 5, 14, 15, 21, 29, 33, 37, 38 |
| 17 | 7/29 | 16.1 Vector Fields 16.2 Line Integrals 16.3 Conservative Vector Fields Review for Exam 2 |
16.1: 1, 3,
10, 17, 23, 24, 27
16.2: 3, 9, 13, 21, 27, 35, 39, 40 16.3: 1, 5, 9, 13, 17, 19, 21, 22 |
| 18 | 7/31 | Exam 2 | |
| 19 | 8/3 | Review of Exam 2 16.4 Parameterized Surfaces, Surface Integrals 16.5 Surface Integrals of Vector Fields Lab 4 is due |
16.4: 1, 5, 8, 11, 19, 21, 37, 38 16.5: 1, 6, 9, 12, 15, 17, 23 , 24 |
| 20 | 8/5 | 17.1 Green's Theorem 17.2 Stokes' Theorem |
17.1: 1, 3, 6, 9,
12, 23, 27, 28 17.2: 1, 5, 9, 11, 14, 19, 22, 23 |
| 21 | 8/7 | 17.3 Divergence Theorem | 17.3: 1, 5, 7, 11, 14, 15, 18 |
| 22 | 8/10 | Review for the Final Exam | |
| 23 | 8/12 | Final exam | |