Mathematics 2350-H01 - Calculus III - Fall
2004
Unless specified otherwise, a quiz will consist of one problem from each of the sections that will be
covered.
Class Schedule and Homework Assigment.
Class
Date
Day
Topic
Problems
1
Aug 30
Mon
10.1
Introduction to vector functions
10.1 #
3-9(odd),15,31,37,41,49,57
2
Sep 1
Wed
10.2
Differentiation and Int. for vector fcns.
10.2 #
3,5,7,11-15(odd)
3
Sep 3
Fri
10.2
Continued
10.2 #
21,29,31,37,39
3
Sep 3
Fri
Quiz 1: 10.1,
10.2(Sep 1 part) -- HW due:
Aug 30, Sep 1
Monday, Jan 6 --
No class, Labor day.
4
Sep 8
Wed
10.3
Modelling ballistics and planetary motion.
10.3 #
5,17,19,23,27.
5
Sep 10
Fri
10.3
Spy Problems
Chapter 10 review problem 70
5
Sep 10
Fri
Quiz 2: 10.2(Sep 3 part),
10.3(Sep. 8 part) -- HW due:
Sep 3, Sep 8
6
Sep 13
Mon
10.4
Unit tangent and principal unit normal vectors
10.4 #
3-7(odd)
7
Sep 15
Wed
10.4
(Continued) Curvature
10.4 #
11,13, 17,23,29,35,37,41
8
Sep 17
Fri
10.4
(Continued) Curvature
8
Sep 17
Fri
Quiz 3: 10.3 (Sep 10 part),
10.4 -- HW due: Sep 10, Sep 13, Sep 15
9
Sep 20
Mon
10.5
Tangential and normal components of the acceleration
10.5 #
1,7,11,13,25,33
10
Sep 22
Wed
11.1
Functions of several variables
11.1 #
9,15,21,25,27,47
11
Sep 24
Fri
11.2
Limits and continuity
11.2 #
11--23 (odd)
11
Sep 24
Fri
Quiz 4: 10.5,11.1 -- HW
due: Sep 17, Sep 20, Sep 22
12
Sep 27
Mon
11.2
Continuity
11.2 #
35,37,38
13
Sep 29
Wed
Computer Lab 09 (basement)
15
Oct 1 Fri 11.3
Partial Derivatives
11.3 #
6--16(even),22--26(even),32,36
14
Oct 4
Mon
Test I: 10.1--10.5,
11.2 16
Oct 6
Wed
11.4
Tangent Planes ...
11.4 #
2,4,6,30
17
Oct 8
Fri
11.4
Approximations and differentials
11.4 #
10,16--24(even),34
17
Oct 8
Fri
HW due:
Sep 24, Sep 27, Oct 1, Oct 6.
18
Oct 11
Mon
11.5 Chain rules
11.5 #
4,6,12--24 (even)
19
Oct 13
Wed
11.6
Directional derivatives and the gradient
11.6 #
4,8,12,14, 18,22 (the normal vector in 18, 22 doesn't need to be a unit one)
21
Oct 15
Fri 11.6
Directional derivatives and the gradient (continued)
11.6 #
26--34 (even),44,54.
21
Oct 15
Fri
HW due: Oct 8, Oct 11, Oct 13
22
Oct 18
Mon
11.7
Extrema of functions of two variables (relative extrema)
11.7 #
6, 8,12,18,22
23
Oct 20
Wed
11.7
Extrema of functions of two variables (absolute extrema)
11.7 #
24--30(even)
24
Oct 22
Fri
11.8
Lagrange Multipliers
11.8 #
4,6,10,14,18,20,26
24
Oct 22
Fri
HW due: Oct 15, Oct 18, Oct 20
25
Oct 25
Mon 12.2
Double integration
12.2 #
8,14,22,26,28,30,38
26
Oct 27
Wed 12.2
Double integration (continued)
27
Oct 29
Fri
Test 2:
11.3--11.8
28
Nov 1
MOn
12.3
Double integrals in Polar Coordinates
12.3 #
10--14(even),20,22,32--38(even),44
29
Nov 3
Wed
12.3
Double integrals in Polar Coordinates (continued)
30
Nov 5
Fri
Problems session
31
Nov 8
Mon
12.4
Surface Area
12.4 #
2--6(even), 14,16
31
Nov 8
Mon
HW due: Oct 25, Nov 1, Nov 3
32
Nov 10
Wed
12.5
Triple Integrals
12.5 #
To all these problems add "sketch the region of integration":
18--22(even),
24--28(even), 17 (click on 17 for details). 33
Nov 12
Fri
12.7
Cylindrical coordinates
12.7 #
38,40,52,54
12.7
Spherical coordinates
12.7 # 46,48,50,57(Spy problem)
34
Nov 15
Mon
Review of Triple integration
34
Nov 15
Mon
HW due: Nov 8, Nov 10, Nov 12
35
Nov 17
Wed
13.1
Divergence and Curl
13.1 #
4,6,14--20(even),24--28(even),34,36,38.
36
Nov 19
Fri
Test 3: 11.8,12.2--12.5, 12.7
37
Nov 22
Mon
13.2
Line Integrals
13.2 #
6--10(even), 14--28(even)
Nov 24 --
Nov 28
Happy Thanksgiving!
38
Nov 29
Mon
13.3
Independence of path
13.3 #
12--18(even)
39
Dec 1
Wed
13.3
Independence of path (continued)
13.3 #
20--28(even)
40
Dec 3
Fri
13.4
Green's Theorem
13.4 #
2--12 (even), 20
13.5
Surface Integration
13.5 #
2,6,12--26(even)
41
Dec 6
Mon
13.6
Stoke's Theorem
13.6 #
2--6(even),10,14--18(even),24
13.7
Divergence Theorem
13.7 #
2,4,10,18
40
Dec 6
Mon
HW due: Nov 17--Dec 3 (including both days)
Dec 8
Wed
Review Chapter 13
Dec 11
Sat
Final Exam, 1:30 p.m. - 4:00 p.m.