Homework
 
Date
Topic
Homework
Due
1/24
Course Introduction and Review Single Variable Calculus Review
Not due
1/29
§12.1 Three-Dimensional Coordinate Systems
§12.6 Cylinders and Quadric Surfaces
§12.1 #4-6,11-13,15
1/31
1/31
§12.2 Vectors
§12.3 The Dot Product
§12.2 #10,13,19,22-24,49
§12.3 #2,5,8,15,19,24,27,59
2/5
2/5
§12.4 The Cross Product
§12.5 Equations of Planes
§12.4 #4,7,8,16-19
§12.5 #24,29,31,61
2/7
2/7
§10.1 Curves Defined by Parametric Equations
§12.5 Equations of Lines
§13.1 Vector Functions and Space Curves
§10.1 #7,12,24
§12.5 #2,4,7,15,45,58,68
§12.6 #3,6,11-16
2/12
2/12
§13.2 Derivatives and Integrals of Vector Functions
§13.4 Motion in Space: Velocity and Acceleration
§13.1 #4,21-26,47,48
§13.2 #5,10,16,19,21,33,37,39,45,51
§13.4 #11,14
2/14
2/14
§13.3 Arc Length and Curvature §13.3 #1,4,5,9,11,13,16,17,20
(for #17a and #20a, just find T, not N)
2/19
2/19
§14.1 Functions of Several Variables
A printout of the Mathematica commands done in class is here.
The Mathematica notebook itself is here.
§14.1 #7,27,28,59-64,65,68,71,74,75
Mathematica should only be used for #71,74,75. In particular, questions like #59-64 may appear on the exam during which you will not have access to Mathematica.
2/21
2/21
§14.2 Limits and Continuity §14.2 #6-8,10,11,14,15,17-19
2/26
2/26
§14.3 Partial Derivatives
§14.5 The Chain Rule
§14.3 #15,18,20,23,26,27,29,37,42,47,50,58,63,66,67,82,91
§14.5 #3,6,38
2/28
2/28
§14.4 Tangent Planes and Linear Approximations
§14.5 The Chain Rule
§14.4 #3,4,17,19,21,33,42
§14.5 #9,10,15,16,21,24,54
3/5
3/5
§14.6 Directional Derivatives and the Gradient Vector

3/7
§14.7 Maximum and Minimum Values §14.6 #7,15,16,23,24,34
§14.7 #5,7-9,13,18,50
3/26
3/26
§15.1 Double Integrals over Rectangles
§15.2 Iterated Integrals
§15.2 #4,13,15,18,20,27,31
3/28
3/28
§15.3 Double Integrals over General Regions §15.3 #7,10,17,20,25,52,56
4/2
4/2
§10.3 Polar Coordinates
§15.4 Double Integrals in Polar Coordinates
§10.3 #10,11,15,19,37,39
§15.4 #8,11,15,27,40
4/4
4/4
§16.2 Line Integrals §16.2 #3-6,9,10,14,15
4/9
4/9
§16.1 Vector Fields
A printout of some of the Mathematica commands done in class is here.
§16.1 #11-20,24,25,35
Mathematica should only be used for #19,20
Extra Credit Project - Due 4/26
4/11
4/11
§16.2 Line Integrals (of vector fields)
§16.3 The Fundamental Theorem for Line Integrals
§16.2 #19,21,22
§16.3 #3,4,6,7,12,13,15,18,29
4/16
4/16
§16.4 Green's Theorem §16.4 #2,6,9,12,13,30
4/18
4/18
§16.5 Curl and Divergence §16.5 #2,3,4,8,21,22,27-29
4/23
4/23
§16.6 Parametric Surfaces

4/25
§16.6 Parametric Surfaces and Their Areas §16.6 #1,2,4,5,9,12,13-18,39,43,46,48,49
Mathematica should only be used for #9,12.
4/30
4/30
§16.7 Surface Integrals §16.7 #12,13,16,17
5/2
5/2
§16.7 Surface Integrals (of vector fields)
§16.8 Stokes' Theorem
§16.7 #23-25
§16.8 #1-3,9,10,16
5/7