Prerequisite Information: The prerequisite is MATH 1132, 121
or a score of 4 or 5 on the Advanced-Placement Calculus BC
examination. Recommended preparation: A grade of C- or better in Math
1132 (116). Math 210 is not open for credit to students who have
passed either MATH 220, 2130 or 2143.
Text: Multivariable
Calculus, by Briggs and Cochran.
Note: 1. The outline will be filled in as the course
proceeds.
Check this link frequently for homework assignments.
2. There will be
a weekly quiz every Wednesday. Tentatively all the quizzes will account
for 25 % of the overall grade.
Section
Topic
Homework
Lecture
Date
11.1
Vectors in the plane
p.690: 27, 29, 31, 35, 39, 45, 64-65, 80
8/31
11.2
Vectors in three dimensions
p.700: 23, 25, 29, 31, 35, 39, 53, 57a, 61, 64
8/31
11.3
Dot Product
p.710: 23, 25, 31, 49, 56-58
9/2
11.4
Cross Product
p.718: 23, 27, 31, 43, 47, 54-56
9/2, 9/7
11.5
Lines and curves in space
p.726: 13, 19, 21, 33, 35, 43, 45
9/7
12.1
planes and surfaces
p.786: 2, 13, 15, 19, 25, 29,
33, 37, 75, 77
9/9
11.6
Calculus of vector valued
functions
p.735: 7, 11, 13, 15, 25, 27,
29, 30, 31, 35, 37, 41, 45, 49, 51, 68
9/12
11.7
Motion in space
p.746: 9, 11, 15, 25, 27, 29,
9/12
11.8
Length of curves
p.756: 9, 13, 15, 19, 20
9/14
12.3
Limits and continuity
p. 808: 11, 13, 15, 35, 36, 41
9/14
12.4
Partial derivatives
p.818: 3, 11, 15, 17, 21, 25, 31, 35, 75
9/14, 9/16
12.5
Chain rule
p.827: 9, 11, 19, 21, 23-26, 27, 31
9/16, 9/19
12.6
Directional derivatives and gradient
p.839: 7, 9, 13, 17, 19, 21, 25, 33, 37, 41, 49
9/19, 9/21
12.7
Tangent plane & linear approximation
p.849: 11, 15, 19, 23, 27, 33
9/21, 9/23
12.8
Max/min problems (skip absolute max/min )
p.860: 15, 19, 21, 31, 32, 33
9/26, 9/28
Review
9/30
1st exam is on 10/3
(Monday)
10/3
13.1
Double integrals over
rectangular regions
p.884: 7, 13, 15, 21, 23, 34,
37, 39
10/5
13.2
Double integrals over general
regions
p.893: 3, 4, 7, 11, 13, 15, 17,
21, 33, 37, 41, 43, 45, 49, 53, 59, 63
10/5, 10/7
13.3
Double integrals in polar coordinates
p.897: 9, 11, 17, 21, 23, 24, 34, 35, 46, 47, 49, 51
10/10, 10/12
13.4
Triple integrals
p.914: 9, 13, 15, 17, 19, 25,
29, 31, 35, 36
10/12, 10/14
13.5
Triple integrals in cylindrical and spherical
coordinates
p.930: 11, 17, 21, 23, 25, 31, 35, 37, 39, 41, 43
10/14, 10/17
13.6
Integral for mass calculations
p.942: 13, 18, 21, 27, 35
10/19
14.1
Vector fields
p.968: 9, 16, 25, 28, 29, 33, 46
10/21
14.2
Line integrals
p.984: 11, 13, 15, 17, 18, 25,
29, 31, 33, 37, 39, 43, 45, 64, 66a
10/21, 10/24, 10/26
14.3
Conservative vector fields
p.995: 6, 7, 11, 16, 17, 21, 23, 29, 31, 33, 35, 41, 42, 43,
44,
45, 47,
49, 53
10/28, 10/31, 11/2
14.4
Green's theorem
p.1007: 11, 13, 17, 21, 25,29, 31, 33, 37, 41
11/4, 11/7
14.5
divergence and curl
p.1017: 11, 13, 17, 27, 31, 33,
41, 57
11/7
14.6
surface integrals
p.1033: 11, 12, 14, 15, 21, 23,
27, 28, 31, 35, 36, 37, 43, 44, 45,
50,
53,
56
11/9, 11/11
Review
11/14
Exam 2
(11/16)
From
section 13.1 to 14.5; surface integral (14.6) not included.
11/16
surface integrals
11/18, 11/28
14.7
Stokes' theorem
p.1043: 5, 7, 9, 13, 15, 17, 19
11/28, 11/30
14.8
divergence theorem
p.1054: 7, 13, 15, 19, 21, 27, 33
12/2, 12/5
Review
12/7, 12/9