# Calculus of Several Variables

## Dr. Minkoff

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Schedule
Date Assigned Topic Section Required Paper Hwk Recommended Hwk Date Due
M Jan 13
Vectors
12.1, 12.2
12.1: 6b
12.2: 2, 4ac, 8, 44
12.1: 3
12.2: 1, 3, 19, 29, 45
W Jan 22
M Jan 13
Dot Product
12.3
12, 28, 44, 64
1, 9, 11, 23, 25, 27, 39, 55, 57
W Jan 22
W Jan 22
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
W Jan 29
W Jan 29
Lines
12.5
Hwk
1, 3, 7, 11, 13, 19, 23, 27, 31, 39, 55, 57
W Feb 5
W Jan 29
Planes
12.5
-
-
-
W Jan 29
12.6
6, 12, 16, 20, 24
1, 17, 21, 23, 25, 27
W Feb 5
W Feb 5
Parametric Curves, Velocity
13.1, 13.2
13.1: 8,10, 12, 16, 22-24, 26, 28
13.2: 2, 8, 32
13.1: 9, 11, 15, 27, 39
13.2: 3, 5, 11,17,21, 25, 27, 33
W Feb 12
W Feb 5
Curves: Arclength
13.3
13.3: 4, 15
13.4: 2
13.3: 1, 3, 11
13.4: 5, 9
W Feb 12
W Feb 12
Functions of Several Variables
14.1
14.1: 6, 30, 36, 42, 44
14.1: 27, 31, 39, 43, 51, 61, 63
W Feb 19
W Feb 12
Partial derivatives
14.3
4, 24, 30, 44, 50, 62, 66
3, 7, 9, 11, 19, 23, 31, 41, 49, 57, 61, 65, 75, 83
W Feb 19
W Feb 12
Partial derivatives
Tangent Planes
Linear Approximation
14.3
14.4
14.4: 2, 6, 18
14.4: 1, 15, 19
W Feb 19
W Feb 19
Chain Rule
14.5
2, 6, 10, 14, 18, 24, 36
1, 5, 7, 13, 15, 19, 21, 35, 49
W Feb 26
W Feb 26
Directional Derivative
14.6
4
6,7,13
W March 5
W Feb 26
14.6
14.6: 12, 18, 24, 28, 30, 34, 38, 54
14.6: 15, 25, 27, 37, 49, 57
W Mar 5
W Mar 5
Max/Min
14.7
14.7: 4, 6, 8, 20, 30, 32, 34
14.7: 2, 5, 19, 29, 31, 35, 40
W Mar 19
W Mar 19
Lagrange Multipliers
14.8
14.8: 4, 5,
14.Review (p 970): 60
14.8: 1, 3
14.Review (p 970): 59
W Mar 26
W Mar 19
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
W Mar 26
W Mar 26
Double Integrals
(General Regions)
15.3
15.3: 12, 16, 24, 46
15.3: 11, 15, 19, 27, 47, 49
W Apr 2
W Mar 26
Double Integrals
(Polar Coords)
15.4
8, 10, 22, 28
1, 3, 9, 11, 19, 21, 29, 41
W Apr 2
W Apr 2
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
W Apr 9
W Apr 2
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
W Apr 9
W Apr 9
Change of Variables
(Double Integrals)
15.10
8, 12, 24
3, 7, 10, 11, 14, 17, 23
W Apr 16
W Apr 9
Vector Fields
Line Integrals
16.1
16.2
16.1: 2, 6, 24, 32
16.1: 5, 11, 12, 14, 23, 25, 29, 31
W Apr 16
W Apr 16
Line Integrals
16.2
16.2: 6, 16, 18, 48, 50
16.2: 1, 5, 7, 9, 17, 19, 21, 37, 45, 47, 49
W Apr 23
W Apr 16
FTC for Line Integrals
Conservative Vector Fields
16.3
16.3: 8, 12, 20, 28
16.3: 3, 5, 11, 13, 25
W Apr 23
W Apr 23
Green's Theorem
Curl and Divergence
16.4
16.5
16.4: 4, 10, 12
16.5: 4, 14
16.4: 1, 5, 13, 17
16.5: 3, 5, 11a, 13, 31
W Apr 30
W Apr 23
Parametric Surfaces
16.6
16.6: 6, 24, 42, 44
16.6: 5, 25, 39, 45, 47
NOT DUE
W Apr 30
Surface Integrals
16.7
-
-
NOT DUE
W Apr 23
Surface Integrals
16.7
16.7: 6, 10, 24, 26
16.7: 5, 7, 11, 15, 18, 25, 35
NOT DUE
W Apr 30
Stokes' Theorem
16.8
-
16.8: 1, 2, 3, 4, 5, 8, 9, 11a, 12a, 13
NOT DUE
W Apr 30
Gauss' Theorem
Review
16.9
-
16.9: 3, 7, 12, 13, 17, 19, 20
NOT DUE