Math 251, Fall 2010

Multivariable Calculus

John Zweck


Schedule
Date Topic Section Required Hwk Recommended Hwk Hwk Due Date
Tu Aug 31
Day 1
Overview
Dot Product
12.3
Compulsary Assignment
Diagnostic Quiz
Read and take notes
on 12.1 and 12.2
Th Sep 2
Th Sep 2
Dot Product
Cross Product
12.3
12.4
12.1: 8,12,20,32
12.2: 4bd,6be,22,40,42
12.3: 2, 8, 12, 20, 26, 28, 44, 52
12.1: 13,15,29,36
12.2: 1,7,19,39
12.3: 1, 5, 11, 23ab, 27, 49, 51, 54
Th Sep 9
Tu Sep 7
Cross Product
Lines+Planes
12.4, 12.5
12.4: 4, 8, 12, 14, 18, 22, 28, 38
12.4: 1, 9, 13, 16, 19, 20, 35, 37, 49
Th Sep 16
Th Sep 9
Lines+Planes
12.5
Hwk (pdf)
12.5: 25,27,33,39,46
Th Sep 16
Tu Sep 14
Quadric Surfaces
Cyl+Sph Coords
12.6
15.7-8
12.6: 4,10,12,16,22,28
15.7: 2,4,6,8,10
15.8: 2,4,6,8,10
12.6: 3, 9, 13, 15, 17, 19, 21, 25
15.7: 1,3,5,7,9
15.7: 1,3,5,7,9
Th Sep 23
Th Sep 16
Vector Functions
Space Curves
13.1
13.2
13.1: 10, 14, 16, 20, 24, 26, 28, 36, 42
13.1: 9, 15, 19, 23, 25, 37, 41
Th Sep 30
Tu Sep 21
Calculus of Curves
Arc length + Curvature
13.2
13.3
13.2: 2,6,12,18,26,50
13.3: 2,4
13.2: 1, 5, 15, 20, 23, 31, 45, 47, 49
13.3: 1,5,11
Th Sep 30
Th Sep 23
EXAM I
Functions of
Several Variables
14.1
14, 26, 28, 30ade, 32, 38, 40, 56, 60, 64
11, 13, 15, 23, 25, 29, 35, 39, 41, 55, 59, 63
Th Oct 7
Tu Sep 28
Limits+Continuity
14.2
14.2: 6, 10, 12, 18, 32 ,40
14.2: 7, 9, 13, 29, 41
Th Oct 7
Th Sep 30
Partial Derivatives
14.3
14.3: 4, 6, 8, 10, 12, 16, 20, 24, 40, 43, 58, 70
14.3: 1, 7, 9, 17, 21, 25, 39, 51, 69, 87
Th Oct 7
Tu Oct 5

Tangent Planes
Parametric Surfaces
14.4
16.6
14.4: 2, 6
16.6: 4, 6, 14, 18, 20, 24, 26, 36
14.4: 1, 5
16.6: 3, 5, 13, 15, 21, 22, 23, 25, 35
Th Oct 14
Th Oct 7
Chain Rule
Directional Derivatives
14.5
14.6
14.5: 2, 12, 14, 16, 18, 22, 24, 36, 48
14.5: 1, 7, 13, 15, 19, 21, 23, 35, 45
Th Oct 14
Tu Oct 12
Gradient
14.6
6, 8, 16, 24, 32, 41
1, 5, 9, 17, 23, 27, 39
Th Oct 21
Th Oct 14
Optimization
Lagrange Multipliers
14.7
14.8
14.7: 2, 4, 6, 10, 16, 20, 32, 34, 46
14.7: 1, 3, 5, 7, 9, 15, 29, 35, 43
Th Oct 21
Tu Oct 19
Lagrange Multipliers
14.8
4,6,18
1,2,3,5,19,20
Th Oct 28
Th Oct 21
EXAM II
Double Integrals (Rectangles)
15.1
15.2
15.1: 2,4,12
15.1: 1,5,11
Th Oct 28
Tu Oct 26
Iterated Integrals
Double Integrals (General Regions)
15.2
15.3
15.2: 4, 8, 12, 18, 24, 26, 30
15.3: 8, 10, 16, 18, 20, 24 ,32, 46, 48
15.2: 3, 7, 11, 17, 23, 27
15.3: 7, 13, 15, 21, 23, 31, 39, 41, 45
Th Nov 4
Th Oct 28
Double Integrals (General Regions)
Double Integrals (Polar Coords)
15.3
15.4
15.4: 2, 6, 8, 12, 14, 20, 22
15.4: 1, 3, 5, 7, 9, 11, 19, 21, 23
Th Nov 4
Tu Nov 2
Vector Fields
Line Integrals
16.1
16.2
16.1: 2, 6, 12, 14, 26, 32
16.2: 2, 4, 8, 10, 18, 20, 34, 40, 42
16.1: 3, 5, 11, 13, 21, 23, 29
16.2: 1, 3, 7, 15, 17, 19, 33, 39, 45
Th Nov 11
Th Nov 4
FTC for Line Integrals
16.3
16.3: 4, 6, 8, 12, 16, 20, 24, 26
16.3: 1, 3, 5, 11, 15, 17 ,23
Th Nov 18
Tu Nov 9
FTC for Line Integrals
Green's Theorem
16.3
16.4
16.4: 4, 8, 12, 18
16.4: 1, 5, 11, 17
Th Nov 18
Th Nov 11
Curl and Divergence
16.5
2, 4, 10, 12adjl, 14, 16, 22, 26, 30
3, 5, 11, 12, 13, 15, 17, 25, 29, 31, 38
Th Nov 18
Tu Nov 16
Surface Integrals
16.7
6, 10, 12, 14, 18
5, 7, 9, 11, 15
Th Dec 2
Th Nov 18
Surface Integrals
REVIEW
16.7
20, 24, 26, 28
21, 23, 25, 35
Th Dec 2
Tu Nov 23
EXAM III
Stokes' Theorem
16.8
2, 4, 8, 12a
1, 3, 5, 9, 11a, 13
Th Dec 2
Th Nov 25
THANKSGIVING
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Tu Nov 30
Triple Integrals (Rect)
15.6
12, 14, 16, 18, 28
11, 15, 17, 21
Th Dec 9
Th Dec 2
Triple Integrals (Cyl+Sph)
Divergence Theorem
15.7, 15.8
16.9
15.7: 19, 20, 26, 28
15.8: 18, 20, 22, 24
16.9: 2, 6, 10, 18
15.7: 17, 21, 23a
15.8: 17, 19, 21, 25, 27, 28, 36
16.9: 3, 7, 12, 13, 17, 19, 20
Th Dec 9
Tu Dec 7
Change of Variables
Maxwell's Equations
15.9
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1,3,7,9,11,13
NOT DUE
Th Dec 9
REVIEW
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Th Dec 16
FINAL
10:30-12:30
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