http://sites.math.rutgers.edu/~asbuch/calc251_f08/
Lecture | Text sections | Homework problems | |
1 | 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, 31, 51 | |
2 | 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 | 12.5 Planes in Three-Space | 12.5: 1, 9, 11, 15, 25, 31, 53 | |
4 | 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 | |
5 | 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 13.5: 3, 6, 32 | |
6 | 14.1 Functions of Two or More Variables 14.2 Limits and Continuity in Several Variables |
14.1: 7, 20, 23, 27, 36, 40 14.2: 5, 15, 27, 35 | |
7 | 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 | |
8 | 14.5 The Gradient and Directional Derivatives | 14.5: 7, 13, 27, 31, 33, 37, 39, 43 | |
9 | 14.6 The Chain Rule | 14.6: 1, 5, 7, 17, 20, 23, 27, 30 | |
10 | 14.7 Optimization in Several Variables | 14.7: 1, 3, 7, 17, 19, 24, 25, 27, 29 | |
11 | 14.8 Lagrange Multipliers: Optimizing with a Constraint | 14.8: 2, 7, 11, 13, 15 | |
12 | Midterm 1 (October 9) | ||
13 | 15.1 Integration in Several Variables | 15.1: 10, 15, 23, 25, 33, 37, 44 | |
14 | 15.5 Double Integrals over More General Regions | 15.2: 3, 5, 11, 25, 32, 37, 43, 45, 49, 59 | |
15 | 15.3 Triple Integrals | 15.3: 3, 5, 11, 15, 17, 25, 33 | |
16 | 12.7 Cylindrical and Spherical Coordinates 15.4 Integration in Polar, Cylindrical, and Spherical Coordinates | 12.7: 1, 5, 23, 31, 41, 43, 48, 53 15.4: 1, 5, 9, 19, 23, 27, 31, 37, 39, 42, 47, 51, 59 | |
17 | |||
18 | 15.5 Change of Variables | 15.5: 1, 5, 14, 15, 21, 29, 33, 37 | |
19 | 16.1 Vector Fields | 16.1: 1, 3, 10, 17, 23, 27 | |
20 | 16.2 Line Integrals | 16.2: 3, 9, 13, 21, 27, 35, 39, 40 | |
21 | 16.3 Conservative Vector Fields | 16.3: 1, 5, 9, 13, 17, 19, 21 | |
22 | Midterm 2 (November 13) | ||
23 | 16.4 Parameterized Surfaces and Surface Integrals | 16.4: 1, 5, 8, 11, 19, 21, 37 | |
24 | 16.5 Surface Integrals of Vector Fields | 16.5: 1, 6, 9, 12, 15, 17, 23 | |
25 | 17.1 Green's Theorem | 17.1: 1, 3, 6, 9, 12, 23, 27 | |
26 | 17.2 Stokes' Theorem | 17.2: 1, 5, 9, 11, 19, 23 | |
27 | 17.3 Divergence Theorem | 17.3: 1, 5, 7, 11, 14, 15, 18 | |
28 | Review |