Math 251, Fall 2011

Multivariable Calculus

John Zweck


Schedule
Date Topic Section Required Hwk Recommended Hwk Hwk Due Date
Th Sep 1
Day 1
Overview
Surface Sketching Primer
Dot Product
12.3
Compulsary Assignment
Diagnostic Quiz
Surface Sketching Hwk
Read and take notes
on 12.1 and 12.2
Tu Sep 6
Tu Sep 6
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 15
Th Sep 8
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 22
Tu Sep 13
Lines+Planes
12.5
Hwk (pdf)
12.5: 25,27,33,39,46
Th Sep 22
Th Sep 15
Planes
12.5
-
-
-
Tu Sep 20
Quadric Surfaces
Cyl+Sph Coords
12.6
15.7-8
12.6: 4,10,12,16,22,28
12.6: 3, 9, 13, 15, 17, 19, 21, 25
Tues*** Sep 27
Th Sep 22
Vector Functions
Space Curves
13.1
13.2

15.7: 2,4,6,8,10
15.8: 2,4,6,8,10
13.1: 10, 14, 16, 20, 24, 26, 28, 36, 42

15.7: 1,3,5,7,9
15.7: 1,3,5,7,9
13.1: 9, 15, 19, 23, 25, 37, 41
Th Oct 6
Tu Sep 27
Calculus of Curves
Arc length
13.2
13.3
13.2: 2,6,12,18,26,50
13.2: 1, 5, 15, 20, 23, 31, 45, 47, 49
Th Oct 6
Th Sep 29
EXAM I
Calculus of Curves
Arc length
13.2, 13.3
13.3: 2,4
13.3: 1,5,11
Th Oct 13
Tu Oct 4
Functions of
Several Variables
Limits+Continuity
14.1, 14.2
14.1: 14, 26, 28, 30ade, 32, 38, 40, 56, 60, 64
14.2: 6, 10, 12, 18, 32 ,40
14.1: 11, 13, 15, 23, 25, 29, 35, 39, 41, 55, 59, 63
14.2: 7, 9, 13, 29, 41
Th Oct 13
Th Oct 6
Limits+Continuity
Partial Derivatives
14.3
14.3: 4, 10, 12, 16, 20, 24, 40, 43
14.3: 1, 7, 9, 17, 21, 25, 39, 51, 69, 87
Th Oct 13
Tu Oct 11
Partial Derivatives
Tangent Planes
14.3
14.4
14.3: 6 ,8, 58, 70
14.4: 2, 6
14.4: 1, 5
Th Oct 20
Th Oct 13
Parametric Surfaces
Chain Rule
16.6
14.5
16.6: 4, 6, 14, 18, 20, 24, 26, 36
16.6: 3, 5, 13, 15, 21, 22, 23, 25, 35
Th Oct 20
Tu Oct 18
Chain Rule
Gradient
Directional Deivative
14.5, 14.6
14.5: 2, 12, 14, 16, 18, 22, 24, 36, 48
14.6: 6, 8, 16, 24, 32, 41
14.5: 1, 7, 13, 15, 19, 21, 23, 35, 45
14.6: 1, 5, 9, 17, 23, 27, 39
Th Nov 3
Th Oct 20
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 Nov 3
Tu Oct 25
Lagrange Multipliers
14.8
4,5,18
1,2,3,19,20
Th Nov 3
Th Oct 27
EXAM II
Double Integrals (Rectangles)
15.1
2,4,12
3, 7, 11, 17, 23, 27
Th Nov 10
Tu Nov 1

Iterated Integrals
Double Integrals (General Regions)
15.2, 15.3

15.2: 4, 8, 12, 18, 24, 26, 30

15.2: 3, 7, 11, 17, 23, 27
Th Nov 10
Th Nov 3
Double Integrals (General Regions)
15.3
15.4
15.3: 8, 10, 16, 18, 20, 24 ,32, 46, 48
15.3: 7, 13, 15, 21, 23, 31, 39, 41, 45
Th Nov 10
Tu Nov 8
Double Integrals (Polar Coords)
Vector Fields
Line Integrals
15.4, 16.1
16.2
15.4: 2, 6, 8, 12, 14, 20, 22
16.1: 2, 6, 12, 14, 26, 32
16.2: 2, 4, 8, 10, 18, 20, 34, 40, 42
15.4: 1, 3, 5, 7, 9, 11, 19, 21, 23
16.1: 3, 5, 11, 13, 21, 23, 29
16.2: 1, 3, 7, 15, 17, 19, 33, 39, 45
Th Nov 17
Th Nov 10
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
Tues Nov 29**
Tu Nov 15
FTC for Line Integrals
Green's Theorem
16.3
16.4
16.4: 4, 8, 12, 18
16.4: 1, 5, 11, 17
Tues*** Nov 29
Th Nov 17
Green's Theorem
16.4
-
-
Tu Nov 22
EXAM III
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 Dec 8
Th Nov 24
THANKSGIVING
-
-
-
-
Tu Nov 29
Curl and Divergence
Surface Integrals
16.5, 16.7
16.7: 6, 10, 12, 14, 18 20, 24, 26, 28
16.7: 5, 7, 9, 11, 15 21, 23, 25, 35
Th Dec 8
Th Dec 1
Surface Integrals
16.7
-
-
Th Dec 8
Tu Dec 6
Stokes' Theorem
Triple Integrals (Rect)
16.8, 15.6
16.8: 4, 8
15.6: 12, 14
16.8: 1, 2, 3, 5, 9, 11a, 12a, 13
15.6: 11, 15, 16, 17, 18, 21, 28
NOT DUE
Th Dec 8
Triple Integrals (Cyl+Sph)
15.7, 15.8
15.7: 20, 28
15.8: 18, 22, 24
15.7: 17, 19, 21, 23a, 26
15.8: 17, 19, 20, 21, 25, 27, 28, 36
NOT DUE
Tu Dec 13
Divergence Theorem
REVIEW
[Change of Variables - omitted]
16.9, [15.9]
-
16.9: 3, 7, 12, 13, 17, 19, 20
[15.9: 1, 3, 7, 9, 11, 13]
NOT DUE
Th Dec 15
FINAL
10:30-12:30
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