Math 251:F2,  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 6/23 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 6/24 12.5 Planes in Three-Space 12.5: 1, 9, 11, 15, 25, 26, 31, 32, 53
4 6/25 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 6/29 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 6/30 Quiz 1
14.1 Functions of Two or More Variables
14.1: 7, 20, 23, 27, 36, 40
7 7/1 Review of  Quiz 1
14.2 Limits and Continuity in Several Variables 
Assign Maple Lab 1
14.2: 5, 15, 27, 35, 36
8 7/2 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 7/6 14.5 The Gradient and Directional Derivatives
12.6 Quadric surfaces		 14.5: 7, 13, 27, 31, 32,33, 37, 39, 40, 43
10 7/7 14.6 The Chain Rule
Assign Maple Lab 2; Lab 1 is due		 14.6: 1, 5, 7, 17, 20, 23, 27, 30
11 7/8 14.7 Optimization in Several Variables 14.7: 1, 3, 7, 17, 19, 24, 25, 27, 28, 29
12 7/9 14.8 Lagrange Multipliers: Optimizing with a Constraint 14.8: 2, 7, 11, 12, 13, 15, 16
13 7/13 Review for  Exam 1
14 7/14 Exam 1
15 7/15 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
16 7/16 15.2 Double Integrals over More General Regions 15.2: 3, 5, 11, 25, 32, 37, 43, 45, 49, 54, 59
17 7/20 15.3 Triple Integrals 15.3: 3, 5, 11, 15, 17, 25, 30, 33, 34
18 7/21 12.7 Cylindrical and Spherical Coordinates
 12.7: 1, 5, 23, 31, 41, 43, 48, 53
19 7/22 15.4 Integration in Polar, Cylindrical, and Spherical Coordinates
Assign Maple Lab 4; Lab 3 is  due		 15.4: 1, 5, 9, 19, 23, 27, 31, 37, 39, 42, 47, 51, 59 , 62
20 7/23 15.5 Change of Variables 15.5: 1, 5, 14, 15, 21, 29, 33, 37, 38
21 7/27 Quiz 2
16.1 Vector Fields		 16.1: 1, 3, 10, 17, 23, 24, 27
22 7/28 Review of  Quiz 2
16.2 Line Integrals		 16.2: 3, 9, 13, 21, 27, 35, 39, 40
23 7/29 16.3 Conservative Vector Fields
16.4 Parametric Surfaces, Surface Integrals		 16.3: 1, 5, 9, 13, 17, 19, 21, 22
16.4: 1, 5, 8, 11, 19, 21, 37, 38
24 7/30 16.5 Surface Integrals of Vector Fields
Review for  Exam 2		 16.5: 1, 6, 9, 12, 15, 17, 23 , 24
25 8/3 Exam 2
26 8/4 Review of the Exam 2
16.5 Surface Integrals of Vector Fields  Lab 4 is  due		 16.5: 1, 6, 9, 12, 15, 17, 23 , 24
27 8/5 17.1 Green's Theorem 17.1: 1, 3, 6, 9, 12, 23, 27, 28
28 8/6 17.2 Stokes' Theorem 17.2: 1, 5, 9, 11, 14, 19, 22, 23
29 8/10 17.3 Divergence Theorem 17.3: 1, 5, 7, 11, 14, 15, 18
30 8/11 Review for the Final  Exam
31 8/12 Final exam