Math 2415, Fall 2012

Calculus of Several Variables

John Zweck


Schedule
Date Topic Section Required Hwk Recommended Hwk Hwk Due Date
Tu Aug 28
Day 1
Vectors
12.1, 12.2
Compulsary Assignment
(Due Th Aug 30)
12.1: 6b
12.2: 2, 4ac, 6bf, 8, 24 42, 44
12.1: 3
12.2: 1, 3, 15, 19, 29, 45
Th Sep 6
Th Aug 30
Dot Product
12.3
4, 8, 10, 12, 24, 28, 44, 64
1, 9, 11, 23, 25, 27, 39, 55, 57
Th Sep 6
Tu Sep 4
Cross Product
12.4
4, 8, 10, 13, 16, 18, 20, 26, 30, 34, 44
7, 11, 19, 21, 25, 37, 43
Th Sep 13
Th Sep 6
Lines
12.5
Hwk
1, 3, 7, 11, 13, 19, 23, 27, 31, 39, 55, 57
Th Sep 13
Tu Sep 11
Planes
12.5
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-
Th Sep 13
Quadric Surfaces
12.6
6, 12, 16, 20, 24, 26, 28
1, 3, 5, 13, 17, 21, 23, 25, 27
Th Sep 20
Tu Sep 18
Cylindrical Coords
Spherical Coords
Parametric Curves
15.8, 15.9, 13.1
15.8: 2, 4, 6, 8, 10b
15.8: 1, 3, 7, 9
Th Sep 20
Th Sep 20
Curves: Sketching, Velocity
13.2
15.9: 2, 4, 6, 10a
13.1: 2,8,10, 12, 16, 21-26, 28, 40
13.2: 2,8,10, 14, 20, 22, 24, 32
15.9: 1 ,3,5,9
13.1: 9, 11, 15, 27, 39
13.2: 3, 5, 11,17,21, 25, 27, 33
Th Sep 27
Tu Sep 25
Curves: Acceleration, Arclength
13.3, 13.4
13.3: 2, 4, 15
13.4: 2, 8, 12
13.3: 1, 3, 11
13.4: 5, 9, 19
Th Oct 4
Th Sep 27
Functions of Several Variables
14.1
26, 30, 32, 36, 42, 44, 60, 64
27, 31, 39, 43, 51, 61, 63
Th Oct 4
Tu Oct 2
Partial derivatives
14.3
4, 6, 12, 16, 18, 24, 30, 44, 50, 54, 62, 66, 76
3, 7, 9, 11, 19, 23, 31, 41, 49, 57, 61, 65, 75, 83
Th Oct 11
Th Oct 4
Tangent Planes
Linear Approximation
Parametric Surfaces
14.4, 16.6
14.4: 2, 6, 18
14.4: 1, 15, 19
16.6: 3, 4, 5, 6, 23, 24, 25, 33
Th Oct 11
Fr Oct 5
EXAM I
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Tu Oct 9
Chain Rule
14.5
2,6,10,14,16,18,24,36,52
1,5,7,13,15,19,21,35,49
Th Oct 18
Th Oct 11
Directional Derivative
Gradient
14.6
4,8,16
6,7,13
Th Oct 18
Tu Oct 16
Max/Min
14.6, 14.7
14.6: 12, 18, 20, 24, 28, 30, 34, 38, 50, 54
14.6: 15, 25, 27, 37, 49, 57
Th Oct 25
Th Oct 18
Max/Min
14.7
14.7: 2, 4, 6, 8, 16, 20, 40
14.7: 3, 5, 13, 19, 39
Th Oct 25
Tu Oct 23
Max/Min, Lagrange Multipliers
14.7, 14.8
14.7: 30, 32, 34
14.8: 4, 5,
14.Review (p 970): 60
14.7: 29, 31, 35
14.8: 1, 3
14.Review (p 970): 59
Th Nov 1
Th Oct 25
Lagrange Multipliers
14.8
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-
-
Tu Oct 30
Double Integrals
(Rectangles)
15.1, 15.2
15.1: 4, 6, 10, 14
15.2: 4, 8, 10, 18, 26, 30
15.1: 5, 7, 9
15.2: 7, 11, 19, 25, 31
Th Nov 8
Th Nov 1
Double Integrals
(General Regions)
15.3
15.3: 12, 16, 20, 22, 24, 32, 46
15.3: 11, 15, 19, 27, 47, 49
Th Nov 8
Tu Nov 6
Double Integrals
(Polar Coords)
15.4
8, 10, 14, 20, 22, 24, 28, 32
1, 3, 9, 11, 19, 21, 29, 41
Th Nov 15
Th Nov 8
Change of Variables
(Double Integrals)
15.10
4, 8, 10, 12, 14, 16, 24
3, 7, 9, 11, 17, 23
Th Nov 15
Fr Nov 9
EXAM II
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-
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-
Tu Nov 13
Vector Fields
Line Integrals
16.1, 16.2
16.1: 2, 6, 12, 24, 26, 32
16.2: 2, 4, 6, 16, 18, 20, 22, 42, 48, 50
16.1: 5, 11, 13, 14, 23, 25, 29, 31
16.2: 1, 5, 7, 9, 17, 19, 21, 37, 45, 47, 49
Th Nov 29
Th Nov 15
FTC for Line Integrals
Conservative Vector Fields
16.2, 16.3
16.3: 4, 6, 12
16.3: 3, 5, 11, 13, 25
Th Dec 6
Tu Nov 27
Green's Theorem
Curl and Divergence
16.4, 16.5
16.4: 4, 6, 18
16.5: 4, 10a, 12d-h, 14, 30
16.4: 1, 5, 13, 17
16.5: 3, 5, 11a, 13, 31
Th Dec 6
Th Nov 29
Surface Integrals
16.6, 16.7
16.6: 42, 44
16.6: 39, 45, 46, 47
Th Dec 6
Tu Dec 4
Surface Integrals
Stokes' Theorem
16.7, 16.8
16.7: 6, 10, 24, 26, 28
16.8: 4, 8
16.7: 5, 7, 9, 11, 15, 18, 21, 23, 25, 35
16.8: 1, 2, 3, 5, 9, 11a, 12a, 13
TUES** Dec 11
Th Dec 6
Triple Integrals
(Rect, Cyl, Sph)
15.7, 15.8, 15.9
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15.7: 20, 28
15.8: 18, 22, 24
15.9: 1, 3, 7, 9, 11, 13
NOT DUE
Tu Dec 11
Gauss' Theorem
Review/Maxwell's Equations
16.9
-
16.9: 3, 7, 12, 13, 17, 19, 20
NOT DUE
Fr Dec 14
FINAL
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