# Calculus of Several Variables

## Changsong Li 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 Sep 9 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 22 Aug
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 1 Sep
Th 24 Aug
Dot Product
12.3
12.3 Hwk
12, 16, 28, 44, 64, 1, 9, 11, 23, 25, 27, 39, 55, 57, 63
F 1 Sep
Tu 29 Aug
Cross Product
12.4
12.4 Hwk
12.4: 2, 10, 13, 14, 20, 28, 30, 36, 7, 11, 15, 19, 27, 29, 37, 43
F 8 Sep
Th 31 Aug
Lines and Planes
12.5
-
-
-
Tu 5 Sep
Lines and Planes
12.5
12.5 Hwk
Extra Problems [pdf]
5, 14, 18, 46, 1, 3, 7, 11, 13 19, 26, 27, 31, 39, 45, 55, 57
F 15 Sep
Th 7 Sep
12.6
12.6 Hwk
6, 10, 12, 16, 20, 24, 30 , 1, 7, 9, 17, 21, 23, 25, 27
F 15 Sep
Tu 12 Sep
Cylindrical Coords
Spherical Coords
15.7
15.8
15.7 and 15.8 Hwk
15.7: 2, 8, 10b, 12, 1, 3, 7, 9
15.8: 2, 4, 8, 10a, 1, 4, 5, 9
F 22 Sep
Th 14 Sep
Curves: Sketching,
Tangent, Velocity
13.1
13.2
13.1 Hwk
13.2 Hwk
13.1: 8, 10, 12, 16, 22, 24, 26, 28, 32, 44, 9, 11, 15, 23, 27, 31, 39
13.2: 2, 8, 20, 26, 32, 34, 49, 3, 5, 11, 17, 21, 25, 27, 55
F 22 Sep
Tu 19 Sep
Curves: Arclength
Functions of Several Variables
13.3
14.1
13.3 Hwk
14.1 Hwk
13.3: 4, 6, 11, 1, 3, 5
13.4: 4, 5, 9
14.1: 24, 30, 36, 42, 44, 46, 48, 62, 66, 27, 31, 43, 47, 51, 63
F 29 Sep
Th 21 Sep
Partial derivatives
14.3
14.3 Hwk
8, 20, 24, 32 52, 56, 60, 66, 73, 78d, 3, 5, 7, 9, 11, 19, 23, 31, 41, 57, 61, 65, 75
F 29 Sep
Tu 26 Sep
Tangent Planes
Linear Approximation
14.4
14.4 Hwk
2, 18, 1, 15, 19
F 6 Oct
Th 28 Sep
Parametric Surfaces
(Excluding Area)
16.6
16.6 Hwk
6, 14, 18, 22, 24, 26, 34, 36, 3, 5, 13, 15, 17, 21, 25
F 13 Oct
F 29 Sep
EXAM I
7pm-8:30pm
-
-
-
-
Tu 3 Oct
Chain Rule
14.5
14.5 Hwk
2, 6, 10, 14, 18, 24, 36, 52 , 1, 5, 7, 13, 15, 19, 21, 35, 49, 53
F 13 Oct
Th 5 Oct
Directional Derivative
14.6
14.6 Hwk
4 12, 18, 24, 28, 30, 34, 38, 54, 6,7,13 15, 25, 27, 37, 49, 57
F 13 Oct
Tu 10 Oct
Max/Min
14.7
14.7 (Local) Hwk
4, 6, 8, 20, 2, 5, 19
F 20 Oct
Th 12 Oct
Max/Min
14.7
14.7 (Global) Hwk
32 34, 36, 31, 35, 40
F 20 Oct
Tu 17 Oct
Lagrange Multipliers
14.8
14.8 Hwk
14.8: 1, 5; 14.Review (p 970): 59, 60
F 27 Oct
Th 19 Oct
Double Integrals
(Rectangles)
15.1
15.1 Hwk
12, 20, 36, 40, 50, 3, 11, 19, 23, 25, , 39, 49
F 27 Oct
Tu 24 Oct
Double Integrals
(General Regions)
15.2
15.2 Hwk
2, 14, 16, 18, 24, 26, 30, 36, 46, 48, 52, 54, 11, 15, 19, 25, 27, 37, 47
F 3 Nov
Th 26 Oct

Double Integrals
(Polar Coords)
15.3
15.3 Hwk
10, 22, 27, 28, 30, 1, 3, 9, 11, 19, 21, 29, 41
F 10 Nov
Tu 31 Oct
Triple Integrals
(Rect)
15.6
15.6 Hwk
4, 12, 14, 16, 18, 22, 28, 38, 20, 21, ,31, 33, 37
F 10 Nov
Th 2 Nov
Triple Integrals
(Cyl, Sph)
15.7, 15.8
15.7 Hwk
15.8 Hwk
15.7: 16, 18, 22, 24, 19, 21, 25a, 29
15.8: 12, 18, 20, 22, 24, 26, 30, 11, 13, 36, 41
15.7: F 10 Nov
15.8: F 17 Nov
F 3 Nov
EXAM II
7pm-8:30pm
-
-
-
-
Tu 7 Nov
Change of Variables Theorem
15.9
15.9 Hwk
2, 8, 10, 12, 15, 24, 26, 3, 7, 10, 11, 14, 17, 20, 23
F 17 Nov
Th 9 Nov
Vector Fields
Line Integrals of Functions
16.1
16.2
16.1 Hwk
16.1: 2, 14, 32, 5, 11, 12, 23, 25, 29, 31
16.2: 10, 12, 48, 1, 9
F 17 Nov
Tu 14 Nov
Line Integrals of Vector Fields
16.2
16.2 Hwk
16.2: 6, 16, 18, 22, 40, 5, 7, 17, 19, 21, 45, 47
F 1 Dec
Th 16 Nov
FTC for Line Integrals
Conservative Vector Fields
16.3
16.3 Hwk
8, 12, 20, 28, 3, 5, 11, 13, 25, 29
F 1 Dec
-
THKS BREAK
-
-
-
-
Tu 28 Nov
Green's Theorem
16.4
16.4 Hwk
4, 10, 12, 1, 5, 13, 17
F 1 Dec
Th 30 Nov
Curl and Divergence
16.5
16.5 Hwk
2, 4, 7, 14, 1, 3, 9, 11, 13, 15, 17, 31
NOT DUE
Tu 5 Dec
Surface Integrals
Stokes' Theorem
Gauss' Theorem
16.7
16.8
16.9
-
16.7: 6, 10; 18, 24, 26, 44, 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 9 Dec
5-7:45pm
FINAL
-
-
-
-