Math 251:4,6,7  (MTh)   Syllabus and General Information    Fall 2014

 

Lecture Date Topic(s) and text sections Suggested problems
1 09/04 12.1 Vectors in the Plane
12.2 Vectors in Three Dimensions		 12.1: 5, 9, 11, 15, 21, 39, 45
12.2: 11, 13, 19, 25, 27, 33, 53
2 09/08 12.3 Dot Product and the Angle Between Two Vectors
12.4 The Cross Product		 12.3: 1, 13, 21, 29, 31, 66, 71, 75
12.4: 1, 5, 11, 15, 19, 22, 39, 41
3 09/11 12.5 Planes in Three-Space 12.5: 1, 10, 13, 17, 27, 33, 51
4 09/15 13.1 Vector-Valued Functions
13.2 Calculus of Vector-Valued Functions		 13.1: 4, 7, 15, 21
13.2: 4, 10, 27, 28, 31, 45, 50
5 09/18 13.3 Arc Length and Speed
13.4 Curvature
13.5 Motion in Three-Space		 13.3: 3, 11, 14, 18
13.4: 3, 17, 19, 23
13.5: 3, 6, 32
6 09/22 14.1 Functions of Two or More Variables
14.2 Limits and Continuity in Several Variables 
Assign Maple Lab 1		 14.1: 7, 19, 20, 23, 29, 30
14.2: 7, 15, 22, 29
7 09/25 14.3 Partial Derivatives
14.4 Differentiability, Linear Approximation and Tangent Planes		 14.3: 3, 19, 22, 33, 49, 54, 55, 57
14.4: 1, 7, 15, 21, 25, 32
8 09/29 14.5 The Gradient and Directional Derivatives
12.6 Quadric surfaces		 14.5: 7, 13, 27, 31, 33, 38, 39, 44
9 10/02 14.6 The Chain Rule
Assign Maple Lab 2; Lab 1 is due		 14.6: 1, 5, 7, 13, 24, 27, 37, 39
10 10/06 14.7 Optimization in Several Variables 14.7: 1, 3, 10, 19, 21, 28, 31, 32
11 10/09 14.8 Lagrange Multipliers: Optimizing with a Constraint 14.8: 2, 7, 11, 13, 15
12 10/13 Exam 1
13 10/16 15.1 Integration in Several Variables
Assign Maple Lab 3; Lab 2 is due		 15.1: 12, 17, 27, 29, 41, 43, 45
14 10/20 15.2 Double Integrals over More General Regions 15.2: 3, 5, 11, 21, 27, 32, 33, 41, 43, 49
15.5: 1
15 10/23 15.3 Triple Integrals 15.3: 3, 5, 9, 15, 19, 21, 35
16 10/27 12.7 Cylindrical and Spherical Coordinates; begin 15.4
 12.7: 1, 5, 23, 35, 42, 53, 59
15.5: 21, 28
17 10/30 15.4 Integration in Polar, Cylindrical, and Spherical Coordinates
Assign Maple Lab 4; Lab 3 is  due		 15.4: 1, 5, 13, 17, 22, 23, 27, 33, 41, 47, 49
18 11/03 15.6 Change of Variables 15.6: 1, 5, 14, 15, 21, 29, 33, 37
19 11/06 16.1 Vector Fields 16.1: 1, 3, 10, 15, 25, 31
20 11/10 16.2 Line Integrals 16.2: 3, 15, 21, 23, 35, 37, 41, 43
21 11/13 16.3 Conservative Vector Fields
 		 16.3: 1, 5, 9, 11, 15, 21, 22
22 11/17 Exam 2
23 11/20 16.4 Parameterized Surfaces, Surface Integrals Lab 4 is due 16.4: 1, 5, 8, 11, 13, 17, 23
24 11/24 16.5 Surface Integrals of Vector Fields 16.5: 1, 6, 9, 12, 15, 17, 23
25 11/25 17.1 Green's Theorem 17.2: 1, 5, 9, 11, 21, 23
26 12/01 17.2 Stokes' Theorem 17.3: 1, 5, 7, 9, 13, 16, 17
27 12/04 17.3 Divergence Theorem 17.3: 1, 5, 7, 11, 14, 15, 18
28 12/08 Catch up & review; possible discussion of some applications of vector analysis.