Math 2415, Spring 2014

Calculus of Several Variables

John Zweck



Important: Digital Homework is due every Wednesday at 8pm. See your WebAssign account.

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