MATH 210 Calculus III
Spring, 2005  10:00 -10:50
MTRF....FC 148
Course Assignments and Schedule
POW's #6 : submit by 5pm Monday, May 2.
Self Schedule for Final Examinations


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Last updated: 5-3-05 Work in progress!

Assignment Problem List
*Early or Just in time:
When two due dates are given,
the first date is for preparation and/or starting problems,
the second date is for completion of problem work
Date Due Asignment Number
Read: Chapter.Section (pages)
Problems
Interesting/optional
1-18 & 1-20
 		1
 		Review of Calc I and II Look at Final Exams from Calc I and II
1-21-Read only
1-24: Do problems
 		2
 		11.1 Read- Consider what this has to do with vectors. 11.1: 1-7 odd, 11, 19,21,24,25, 28 (revised 1-21) 


1-25
 		3 11.1 11.1: 10,12, 14-16, 44, 31 38, 39, 41,46,47
1-28
 		4
 		11.2 696-698:tangents
13.2 pp834- 838
11.2: 1,2,3,5,6
13.2: 17,19,21,23-25, 37
1-31
 5
 11.2 Re-read 696-698
13.1
13.5 (i) pages 858-861 (lines in space)
 11.2:  7, 9,11, 15, 23, 30
13.1: 1, 3, 4, 11, 15, 23-29 odd
13.5: 2-4,7,13
2-1 or 2-3 *
 6
 14.1
14.2 vector derivatives and  tangent vectors: pp892-895(middle)

14.1: 3,4,19-24, 7,9,11,25,27
14.2: 1,3-5,9,13,14
2-3
 7
 11.2 699-701( middle):arc length
14.3 898-899 Ex. 1.
 		11.2: 37-41, 45, 51
2-4
 8
 14.2 p893 (Unit tangent vector)
14.3  arc length (898-900)
14.2: 17-19, 27, 29
14.3: 1-4,7, 8 (arc length)
2-7
 9
 14.2 integrals and de's p 896
 14.2: integrals 33-39 odd, 38, 40

2-15
 POW #1
2-8 and 2-10*
 10
 11.2: 698-699: area
14.4 velocity and acceleration (906-910)
13.3 dot product
 11.2: 31- 33
14.4: 1-7 odd, 9-13, 15,17-19
13.3: 1,3,4,8-10,15,16, 23, 25

2-11
 11
 14.2
13.3
 14.2: 41,45,49
13.3:  5-7, 11, 17, 18, 21, 24, 26,27; 35,36,41,42, 50
 14.2: 42,44
2-14
 12
 13.1 (review?)
13.3 p848-9
14.1 (review?)
 13.1: 7-9,13,14
13.3:45,47, 48, 51, 52
14.1: 28,29, 32		 13.3:54, 57-59
2-15
 13
 14.3 Curvature I (p900and Ex.3) 14.3: 13b,15 b (curvature) 14.3:20
11.3 :69
2-17
 		14
 		13.5  861-862 to example 4
15.1 pp 923-926
On-line Materials on 1 controlling 2 or 3 variables
 		13.5: 5,19,23-29 odd
15.1: 1,2, 5-9 odd, 15,17 
2-18
 15
 15.1 pp 926-933
 15.1:Sketch a scalar field for the integer lattice of [-2,2]x[-2,2] : 21-27,37-43 odd
Not reported on Blackboard.
2-22
(5 pm)
 		Summary #2
 weeks 4 & 5

2-21
 16
 15.1 15.1: 30, 37-39,45, 53-58 (Graphs)
15.1:  19, 33, 34, 65,69
2-22
 17
 15.3 read pp945-948 15.3: 3,13-27 odd
2-24
 18
 15.3 read pp948- 953 15.3:8, 24,26, 34, 37, 39; 45, 47, 49, 48, 53, 58
* 2-25 and 2-28
 19
 15.3 read pp 953-955
15.4 read 959-960
 		15.3: 65, 67, 68, 70(a,c), 71, 78
15.4: 1-5,7
2-28
 20
 15.4  read 961-964 (including Example 5) 15.4: 17,18, 23-26, 29, 31,36
* 3-1 and 3-3
 21
 15.2  pp 938-943
15.4 Finish Section.
 15.2: 3,4, 5-11odd
15.4: 11, 12, 27, 35, 37
 15.4: 41,42
3-4
 		22
 		15.5:  1-2-1 p967-9 (Ex. 2)
15.5: 2-2-1 p969-972
 		15.5: 1-4, 13, 35 ; 7-11 odd, 21,22, 39, 43
3-7 Summary #3
Weeks 6 and 7

3-9
Exam #1 covers Assigned Material through Assignment 22 . 
3-7
 23
 15.5  implicit... p972-3
 15.5: 27-33 odd
3-8
 24
15.6 read pp976-979
15.6  read pp979-983
 15.6: 7,8, 5, 11 -14; 21-23,27, 30
3-10 and 3-11* 25
 15.6 p 984-986 15.6:36,37,47;49,53,59
3-11
 26
 15.7 pp 989-ex.1 p990; p 995 15.7: 5-13 odd (use technology to see extreme/saddle) Prep for Friday:
3-22 and 3-24* 27
 15.7 p990-995
p1000
 15.7: 6,14,15,17
Read notes on Quadratic Functions on line.
p1000 #4
3-28
 		28
 		15.7 Example 7
15.8 pp 1001-1005
 		15.7: 27,29,31
15.8:1-9 odd,23-31 odd
4-5
 POW #4


3-29
 29
 13.6 Surfaces
16.1  pp 1017-1021
 13.6: 11-17 odd, 21-28, 37-39, 41,43
16.1: 3a,5,9 
 13.6: 47,49
4-1 and 4-4
 30
 16.1 pp1022-1024
16.2  p1026-1027		 16.1: 11-13, 17,18
16.2:1-11 odd, 4, 8
4-5
 31
 16.2  p1027-1030
 16.2: 13-15, 18,  25, 29
 16.2:33
4-7 and 4-8* 32
 16.3 pp1031-1033 16.3: 1-9 odd, 8, 11-15 odd
4-8
 33
 16.3 pp 1033-1036 16.3: 12,19, 37-39
4-11 and 4-12* 34
 		16.3
13.4 cross products
Notes on Cross Products
 		16.3: 43-47 odd, 48, 49
13.4: 1-9 odd, 13, 15, 23
4-14
 35
 13.4
11.3: 705-707 read!
 13.4: 29,30, 33, 41,18,42,4
4-15
 36
 11.3:....705-710

11.3: 1-3,5,7-11;15-17, 31-35, 54
4-18
 		37
 		11.3: 710-713
11.4 p718 polar coordinates (Arc length)
 
11.3:37-45 odd ; 55-65 odd
11.4: 45-49 odd		 11.369-71,79


 Examination #2 Self Scheduled for 4-20-05
Covers material assigned through #37
4-19 and 4-21* 38
 		11.4 p715-717
16.4 Integration in polar coordinates.

 		11.4: 1-5 odd, 9
16.4:1-13 odd
4-22 and 4-25* 39
 16.7 Integration in 3 space (rectangular). 16.7:1-11 odd, 17
4-26
 		40
 		16.5  1045-1046 (Density and mass)
1050-1054 (probability)
 16.5: 1, 3(mass only), 23, 25
4-28 and 4-29* 41
 		13.7 Cylindrical and spherical coordinates.
16.7
16.8 Integration in 3 space (Cylindrical and polar)
 		13.7: 3-9 odd, 13-19 odd, 31,35,36,39, 40, 49-51
16.7: 27, 39 find mass only, 49
16.8:1,2, 5,7 , 15( Mass only)
5-2 and 5-3
 42
 16.8 spherical Integration
16.6 Surface area
 16.8: 3,17,33,35
16.6:1-7 odd
5-5
17.1 Vector Fields 17.1:1-7 odd, 15-18,21,27,29-32
5-2
 POW #6


Inventory of  Assignments







13.1
 13.1: 5, 6, 21, 31,33,35-37


13.5
 13.5: 31, 33, 35,53


13.5
 13.5: 51, 55-57, 65, 67


14.1
37


14.3 Example 5
 14.3: 23-25,31,37,38


15.2  15.2: 17, 21,25, 27,31


16.4
 17-19, 21-25 odd, 29, 35

















17.3 pp1114 examples 2 -4a, 5.
 3-9 odd. [NOTE: A vector field is called conservative if it is the gradient vector field for a potential function.]


17.3 pp 1110-1117
 13,15,17,21,29-31


17.2 Line Integrals 1098 -1100, ex.3,
1103-1104, 1105-1107
 7,19, 21, 37




Tentative Schedule of Topics, Etc. (last revised 2-15-05)
Week/Day Monday Tuesday Thursday  Friday
1
 No Class
MLK Day
 1/18 Introduction- 
Begin review
Variables- relations-functions. 
What is calculus? Differential Equations?
 1/20 Introduction to 3-dimensional coordinate geometry. 
  1/21 13.1
Introduction to vectors.
2
  1/24 13.2 "1 variable controlling 2" 
11.1 Parametric curves .  Visualizations: Transformations and graphs. 
 1/25 More on vectors and functions
"1 variable controlling 2," 2 controlling 1".
 1/27 More on vector algebra.
 1/28 Lines: parametric and vector equations 2 &3 dim. 13.5
3 1/31 The tangent problem 11.2
"1 variable controlling 2 (or 3)." Vector functions, tangent vectors and velocity. 14.1, 14.2		 2/1Tangent lines, Lengths: segments, vectors, arcs. 11.2, 11.3, 14..3 speed  2/3 Smooth curves. Acceleration 14.4 
Arc length as an integral of speed.		  2/4 Differential equations and integrals of vector functions.
4 
Summary #1 Due 2-7		 2/7 The Dot Product. 13.3. 2/8 More on dot products. 
Finish up 1 variable controlling 2 and 3. The calculus of the"vector" derivative		 2/10 More on dot products 2/11  The Calculus for r'(t).
5 2/14 Curvature Formulae 14.3 2/15 Begin "2 controlling 1 variable".
Begin Linear Functions, Equations: Planes in Space.
 2/17 Tables and Scalar fields. Level Curves. 2/18 Graphs and level curves of  functions of 2 and 3 variables.
 
6
Summary #2 Due 2-22		 2-21 Begin Partial Derivative. Linear (Affine)Functions- lines, planes and vectors.  2-22 Second order Partial derivatives.
2/24  More on tangents, partial derivatives, planes and "Tangent Planes". 2/25 
The Differentials.Concepts and definitions.
7  2-28 What is continuity? What does differentiable mean?
Limits and Continuity. Closeness, Approximations.
 3-1 Differentials, C1 and differentiable functions.
Geometry of differentiability- Tangent planes. 		 3-3 The Chain Rule (1-2-1)
  Chain Rule(2-2-1) 
 3-4 Implicit Differentiation
8 Summary #3 Due 3-7
Exam #1 Self Scheduled for Wednesday 3-9		 3-7 Begin Directional derivatives and the gradient.Geometry of the gradient. 3-8.Finish Gradient and level curve/surfaces. Review for Exam.
 3-10 More Gradient and level surfaces. Tangent planes from gradients.
 3-11 Testing for extremes.
9 3-14 No Class (Break) 3-15 3-17 3-18
10 3-21  Extrema on compact sets 
 
 3-22 More odds and ends.

 3-24  The discriminant test. Quadratic forms. 3-25 LaGrange Multiplier
11Summary #4 Due 3-29
 3-28 
Quadric Surfaces 13.6
Start Integration over rectangles
3-29 Linear regression and "least squares." 15.7 problem 51.
3-31  NO Classs  C.C. Day 4-1 More on Integration and iterated integrals.
Fubini's Theorem.
12What about 4 variables: 1-3, 3-1, 2-2 ? 
5 variables? 2-3, 3-2?		 4-4  More on Integration and iterated integrals.
 
4-5 Average Value
The area problem.11.2(?)
 Beginning-basic properties.applications volumes. Integration over compact regions.		 4-7 More Integration over compact regions.
 4-8 .. Properties of integration in the plane.
Begin Cross products
More on planes and normal vectors with cross products.. 
13 4-11 Cross Product 
4-12 Application to tangent plane.
More Integration in the plane.
Begin Polar coordinates 		 4-14 Polar coordinates- curves in the plane.
4-15 Tangents.
Arc length in Polar coordinates
14 Exam #2 Self Scheduled for Wednesday 4-20

 4-181 Integration with Polar Coordinates.

 4-19 More integratioion with Polar Coordinates.The integral of exp(-x2).  4-21 Applications of integration in the plane and space to mass.   4-22 Begin Integration in 3D. Cartesian coordinates
15 4-25More Applications of integration (mass, probability and means?)


 4-26  Begin cylindrical and spherical coordinates
Integration in Cylindrical.		 4-28  More Integration in Cylindrical and spherical coordinates  Integration surface Area.
Briefly 2-3 visualized		 4-29 .  More work on integration and spherical coordinaates.
16  5-2 Vector fields and line integrals 
2-2 Transformations and vector fields.		 5-3 Integration Over curves. Vector fields and line integrals
 		 5-5 Green's theorem? 5-6
Review.!?