Math 251:01-03, 16-18 - Syllabus and General Information,  Spring 2009

 


Lecture Date Topic(s) and text sections Suggested 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, 28, 31, 48, 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, 26, 31, 32, 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, 50
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, 22
13.5: 3, 6, 32
6   14.1 Functions of Two or More Variables
14.2 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
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, 34
8   14.5 The Gradient and Directional Derivatives
12.6 Quadric surfaces		 14.5: 7, 13, 27, 31, 32,33, 37, 39, 40, 43
9   14.6 The Chain Rule
Assign Maple Lab 2; Lab 1 is due		 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, 28, 29
11   14.8 Lagrange Multipliers: Optimizing with a Constraint 14.8: 2, 7, 11, 12, 13, 15, 16
12 March 4-5 Exam 1
13 03/09 15.1 Integration in Several Variables
Assign Maple Lab 3; Lab 2 is due		 15.1: 10, 15, 23, 25, 33, 37, 44
14 03/09 15.2 Double Integrals over More General Regions 15.2: 3, 5, 11, 25, 32, 37, 43, 45, 49, 54, 59
15   15.3 Triple Integrals 15.3: 3, 5, 11, 15, 17, 25, 30, 33, 34
16 03/23 12.7 Cylindrical and Spherical Coordinates
 12.7: 1, 5, 23, 31, 41, 43, 48, 53
17   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
18 03/30 15.5 Change of Variables 15.5: 1, 5, 14, 15, 21, 29, 33, 37, 38
19   16.1 Vector Fields 16.1: 1, 3, 10, 17, 23, 24, 27
20 04/06 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
22 04/13 Exam 2
23   16.4 Parameterized Surfaces, Surface Integrals Lab 4 is due 16.4: 1, 5, 8, 11, 19, 21, 37, 38
24 04/20 16.5 Surface Integrals of Vector Fields 16.5: 1, 6, 9, 12, 15, 17, 23 , 24
25   17.1 Green's Theorem 17.1: 1, 3, 6, 9, 12, 23, 27, 28
26 04/27 17.2 Stokes' Theorem 17.2: 1, 5, 9, 11, 14, 19, 22, 23
27   17.3 Divergence Theorem 17.3: 1, 5, 7, 11, 14, 15, 18
28 05/04 Catch up & review; possible discussion of some applications of vector analysis.