Homework
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Date
Topic
Homework
Due
9/5
Course Introduction and Review Single Variable Calculus Review
Not due
9/7
§12.1 Three-Dimensional Coordinate Systems
§12.2 Vectors
§12.1 #4-6,11-13,15
§12.2 #10,13
9/12
9/12
§12.3 The Dot Product
§12.4 The Cross Product
§12.2 #19,22-24,49
§12.3 #2,5,8,15,19,24,27,59
§12.4 #4,7,8,16-19
9/14
9/14
§10.1 Curves Defined by Parametric Equations
§12.5 Equations of Lines
§13.1 Vector Functions and Space Curves
A printout of the Mathematica commands done in class is here.
The Mathematica notebook itself is here. You will need Mathematica in order to open this file.
§10.1 #7,12,24
§12.5 #2,4,7,15,68
§13.1 #4,30-34,47,48
9/19
9/19
§13.2 Derivatives and Integrals of Vector Functions
§12.5 Equations of Planes
§12.6 Cylinders and Quadric Surfaces
A printout of the Mathematica commands done in class is here.
The Mathematica notebook itself is here.
§13.2 #5,10,16,19,21,33,37,39,45,51
§12.5 #24,29,31,45,58,61
9/21
9/21
§13.3 Arc Length and Curvature
§13.4 Motion in Space: Velocity and Acceleration
§10.2 #41,42
§13.3 #1,4,5,9,11,13,16,17,20 (for #17a and #20a, just find T, not N)
§13.4 #11,14
§12.6 #3,6,11-16,37-40
9/26
9/26
§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.
9/28
9/28
§14.2 Limits and Continuity §14.2 #6-8,10,11,14,15,17-19
10/3
10/3
§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
10/5
10/5
§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
10/10
10/10
§14.6 Directional Derivatives and the Gradient Vector §14.6 #7,15,16,19,23,24,27,34
10/12
10/12
§14.7 Maximum and Minimum Values §14.7 #5,7-9,13,18,29,43,50
No need to use Mathematica.
Make a photocopy of your homework if you want to study it for the test.
10/17
10/17
§15.1 Double Integrals over Rectangles
§15.2 Iterated Integrals
§15.2 #4,13,15,18,20,27,31
10/26
10/19
§15.3 Double Integrals over General Regions §15.3 #7,10,17,20,25,52,56
Don't forget about the assignment from §15.2 that is also due on 10/26.
10/26
10/26
§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
11/2
11/2
§16.2 Line Integrals §16.2 #3-6,9,10,14,15
Extra Credit Project: Due 11/16
11/7
11/7
§16.1 Vector Fields
§16.2 Line Integrals (of vector fields)
A printout of the Mathematica commands done in class is here.
The Mathematica notebook itself is here.
§16.1 #11-20,24,25,35
Mathematica should only be used for #19,20
§16.2 #17,19,21,22
11/9
11/9
§16.3 The Fundamental Theorem for Line Integrals §16.3 #3,4,6,7,12,13,15,18,19,29
11/14
11/14
§16.4 Green's Theorem §16.4 #2,6,9,12,13,19,21,27,30
11/16
11/16
§16.5 Curl and Divergence §16.5 #2,3,4,8,21,22,27-29
11/21
11/21
§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.
11/28
11/28
§16.7 Surface Integrals

11/30
§16.7 Surface Integrals (of vector fields) §16.7 #12,13,16,17,23-25
12/5
12/5
§16.8 Stokes' Theorem
§16.9 The Divergence Theorem
§16.8 #1-3,9,10,16
12/7
12/7
§16.10 Summary