Math 2415, Fall 2016

Calculus of Several Variables

Changsong Li, Susan Minkoff, and John Zweck



Important: Digital Homework is due every Wednesday at 11:59pm. See your WebAssign account which you can access via the eLearning Course MATH 2415.701.

There is also a Single Variable Calculus Review Homework on WebAssign that is due on Saturday Sept 10th at 11:59pm. There are 21 problems in this review, each worth 3 points towards your WebAssign grade. The problems have been chosen because they are directly relevant to topics that will be discussed in Math 2415.

Schedule
Date Topic Section Required Paper Hwk Recommended Hwk Hwk Due Date
Tu Aug 23
Day 1
Vectors
12.1, 12.2
12.1: 6, 8, 14, 16
12.2: 4ac, 6bdf, 8, 10, 44
12.1: 3, 5, 11a, 12ce
12.2: 1, 3, 19, 29, 45
F Sep 2
Th Aug 25
Dot Product
12.3
12, 16, 28, 44, 64
1, 9, 11, 23, 25, 27, 39, 55, 57, 63
F Sep 2
Tu Aug 30
Cross Product
12.4
12.4: 2, 10, 13, 14, 20, 28, 30, 36
12.4: 7, 11, 15, 19, 27, 29, 37, 43
F Sep 9
Th Sep 1
Lines and Planes
12.5
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Tu Sep 6
Lines and Planes
12.5
5, 14, 18, 46 and Hwk
Extra Problems [pdf]
1, 3, 7, 11, 13 19, 26, 27, 31, 39, 45, 55, 57
F Sep 16
Th Sep 8
Quadric Surfaces
12.6
6, 10, 12, 16, 20, 24, 30
1, 7, 9, 17, 21, 23, 25, 27
F Sep 16
Tu Sep 13
Cylindrical Coords
Spherical Coords
15.7
15.8
15.7: 2, 8, 10b, 12
15.8: 2, 4, 8, 10a
15.7: 1, 3, 7, 9
15.8: 1, 4, 5, 9
F Sep 23
Th Sep 15
Curves: Sketching,
Tangent, Velocity
13.1
13.2
13.1: 8, 10, 12, 16, 22, 24, 26, 28, 32, 44
13.2: 2, 8, 20, 26, 32, 34, 49
13.1: 9, 11, 15, 23, 27, 31, 39
13.2: 3, 5, 11, 17, 21, 25, 27, 55
F Sep 23
Tu Sep 20
Curves: Arclength
Functions of Several Variables
13.3
14.1

13.3: 4, 6, 11
13.4: 4
14.1: 24, 30, 36, 42, 44, 46, 48, 62, 66
13.3: 1, 3, 5
13.4: 5, 9
14.1: 27, 31, 43, 47, 51, 63
F Sep 30
Th Sep 22
Limits
14.2
Hwk [pdf]
7, 29, 41
F Oct 7
Tu Sep 27
Partial derivatives
14.3
8, 20, 24, 32 52, 56, 60, 66, 73, 78d
3, 5, 7, 9, 11, 19, 23, 31, 41, 57, 61, 65, 75
F Oct 7
Th Sep 29
Tangent Planes
Linear Approximation
14.4
2, 18
1, 15, 19
F Oct 7
F Sep 30
EXAM I
7pm-8:30pm
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Tu Oct 4
Chain Rule
14.5
2, 6, 10, 14, 18, 24, 36, 52
1, 5, 7, 13, 15, 19, 21, 35, 49, 53
F Oct 14
Th Oct 6
Directional Derivative
Gradient
14.6
Hwk [pdf]
6,7,13 15, 25, 27, 37, 49, 57
F Oct 14
Tu Oct 11
Max/Min
14.7
Hwk [pdf]
2, 5, 19
F Oct 21
Th Oct 13
Max/Min
14.7
32 34, 36
31, 35, 40
F Oct 21
Tu Oct 18
Lagrange Multipliers
14.8
Hwk [pdf]
14.8: 1, 5; 14.Review (p 970): 59, 60
F Oct 28
Th Oct 20
Double Integrals
(Rectangles)
15.1
12, 20, 36, 40, 50
3, 11, 19, 23, 25, , 39, 49
F Oct 28
Tu Oct 25
Double Integrals
(General Regions)
15.2
2, 14, 16, 18, 24, 26, 30, 36, 46, 48, 52, 54
11, 15, 19, 25, 27, 37, 47
F Nov 4
Th Oct 27

Double Integrals
(Polar Coords)
15.3
10, 22, 27, 28, 30
1, 3, 9, 11, 19, 21, 29, 41
F Nov 4
Tu Nov 1
Triple Integrals
(Rect)
15.6
4, 12, 14, 16, 18, 22, 28, 38
20, 21, ,31, 33, 37
F Nov 11
Th Nov 3
Triple Integrals
(Cyl, Sph)
15.7, 15.8
15.7: 16, 18, 22, 24
15.8: 12, 18, 20, 22, 24, 26, 30
15.7: 19, 21, 25a, 29
15.8: 11, 13, 36, 41
F Nov 11
F Nov 4
EXAM II
7pm-8:30pm
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Tu Nov 8
Change of Variables Theorem
15.9
2, 8, 10, 12, 15, 24, 26
3, 7, 10, 11, 14, 17, 20, 23
F Nov 18
Th Nov 10
Vector Fields
Line Integrals of Functions
16.1
16.2
16.1: 2, 14, 32
16.2: 10, 12, 48
16.1: 5, 11, 12, 23, 25, 29, 31
16.2: 1, 9
F Nov 18
Tu Nov 15
Line Integrals of Vector Fields
16.2
16.2: 6, 16, 18, 22, 40
16.2: 5, 7, 17, 19, 21, 45, 47
F Dec 2
Th Nov 17
FTC for Line Integrals
Conservative Vector Fields
16.3
8, 12, 20, 28
3, 5, 11, 13, 25, 29
F Dec 2
FALL BREAK
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Tu Nov 29
Green's Theorem
16.4
4, 10, 12
1, 5, 13, 17
TUES Dec 6
Th Dec 1
Curl and Divergence
16.5
2, 4, 7, 14
1, 3, 9, 11, 13, 15, 17, 31
TUES Dec 6
Tu Dec 6
Parametric Surfaces
Surface Integrals
Stokes' Theorem
Gauss' Theorem
16.6
16.7
16.8
16.9
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16.6: 3, 5, 13, 15, 17, 21, 25
16.7: 5, 7, 11,
16.7: 15, 25, 35
16.8: 1, 2, 3, 4, 5, 8, 9, 11a, 12a, 13
16.9: 3, 7, 12, 13, 17, 19, 20
NOT DUE
Sat Dec 10
5-7:45pm
FINAL
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