MATH 210 Calculus III
Spring  2010
11:00 -11:50 MTRF....KA 104
Course Assignments and Schedule


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Last updated: 1-18-10 Work in progress!

Assignment Problem List (Work in progress) 1-29-10
*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)
Recommended Problems
Related Graded problems are on WebAssign
Interesting/optional
1/22
 1
 		Review of Calc I and II Look at Final Exams from Calc I and II
1/22-25

 2
 		12.1
 12.1: 1-7 odd, 11, 19,21,24,25, 28


1/28-29
 3 10.1 Read- Consider what this has to do with vectors.  10.1: 10,12, 14-16, 44, 31 38, 39, 41,46,47
1/28-29
 4
 		[review]10.2 630-632:tangents
12.1
12.2 pp770- 774
10.2: 1,2,3,5,6
12.1: 1, 3, 4, 11, 15, 23-29 odd
12.2: 17,19,21,23-25, 37
1/29-2/1
 5 13.1 13.1: 3,4,19-24, 7,9,11,25,27
2/1-2
 6 10.2 Re-read 630-632
12.5 (i) pages 794-797 (lines in space)
13.2 vector derivatives and  tangent vectors: pp824-826(middle)
 10.2:  7, 9,11, 15, 23, 30
12.5: 2-4,7,13
13.2: 1,3-5,9,13,14
2/2-4
 7
  13.2 integrals and de's p827-8


13.2: integrals 33-39 odd, 38, 40
2/5-8  *
 8
 10.2 :arc length
13.2 p825 (Unit tangent vector)
13.3 arc length ( pp 830-831 )		 10.2: 37-41, 45, 51
13.2: 17-19, 27, 29
13.3: 1-4,7, 8 (arc length)
2/8-9
 9
 13.4 velocity and acceleration (p838- 842,Example 6)
 13.4: 1-7 odd, 9-13, 15,17-19

Summary 1  Weeks 1-3+





2/9-11
 10
 12.3 dot product 12.3: 1,3,4,8-10,15,16, 23, 25
2/11-12
 11 13.2 pp 826-827 (omit  Theorem 3.formula5)
12.3  (angles and projections)again... :)		 13.2: 41,45,49
12.3:  5-7, 11, 17, 18, 21, 24, 26,27; 35,36,41,42, 50		 13.2: 42,44
2/12-16
 12 12.5  794-798 with example 4
12.3 p783-4
13.1 (review?)		 12.5: 5,19,23-29 odd
12.3:45,47, 48, 51, 52
13.1: 28,29, 32		 12.3:54, 57-59
2/16-18
 13 13.3 Curvature I (p832and Ex.3) 13.3: 17b,19 b (curvature) 13.3:30
2/19-22
 14 14.1 pp 855-859
On-line Materials on 1 controlling 2 or 3 variables		 14.1: 1,2, 5-9 odd, 15,17
2/19-22 15 14.1 pp 860-865 14.1:Sketch a scalar field for the integer lattice of [-2,2]x[-2,2] : 21-27,37-43 odd
Not reported on Blackboard.
14.1: 30, 35-38, 55-60 (Graphs)
14.1:  17, 31, 32, 65,69
2/19-22?
 Summary #2 weeks 4 - 6 +

2/22-23
 16 14.3 read pp878-881 14.3: 3a,15-29 odd
2/23-25
 17
 14.3 read pp881-885 14.3:  24,26, 34, 31, 37; 45,  49, 51, 58
2/25-26
 18
 14.4 read pp 892-893 14.4: 1-5,7
2/25-26
 19
 14.4  read 893-898
14.4: 17,18, 25-28, 31, 33,36
2/26-3/1
 20
 14.2  pp 870-875
14.4 Finish Section. 		14.2: 3,4, 5-11odd
14.4: 11, 12, 35, 37 		14.4: 45,46
Examination #1  Self Scheduled for ... 3/2-3/3.
Covers material assigned through #19
3/1-4
 21
 14.5:  1-2-1 pp901-902 (Ex. 2) 14.5: 1-4, 13, 35
3/4-8
 22
 14.5: 2-2-1 pp903-905 14.5:  7-11 odd, 21,22, 39, 43
3/9-3/11
 23
 14.5: implicit... pp905-907
 14.5: 27-33 odd
3/8-3/11
 24
 14.3 read pp 886-889
14.6 pp910-916
 14.3: 71,73,77,78
14.6: 7,8, 5, 11 -14; 21-23,27, 30
3/9-3/11
 25
 14.6 p 917-919 14.6:37,39,40,47;49,53
3/25-26
 26 14.7 pp 922-ex.1 p923; p 928 14.7: 5-13 odd (use technology to see extreme/saddle)
3/23-26
 27 14.7 p923-929 14.7: 6,14,15,17 Read notes on Quadratic Functions on line.
p930
4/1-2
 28 14.8 pp 934-938
 14.7: 27,29,31
14.8:1-9 odd

29 12.6 Surfaces
15.1  pp 951-955		 12.6: 11-17 odd, 21-28, 37-39, 41,43
15.1: 3a,5,9
12.6: 47,49
4/5-8
 30 15.1 pp956-958
15.2  p959-960		 15.1: 11-13, 17,18
15.2:1-11 odd, 4, 8
4/8-12
 31
 15.2 pp 961-964
15.3  pp 965- 969
 15.2: 13-15, 18,  25, 29
15.3: 1-9 odd, 8, 11-15 odd		 15.2:33
4/12-15
 32 15.3  pp 969-972
15.4
15.3: 12,19, 39-41
15.4: 1-13 odd		 REVIEW: Read 10.3 on Polar coordinates.
Read 10.5 on conics!
See also: wikipedia on the Conic_section
4/15-19
 33
 12.4 cross products
Notes on Cross Products
15.5 pp980, 985-988
 15.3: 45-47 odd, 51, 55,61
12.4: 1-9 odd, 13, 15, 23
15.5:1, 27, 29
 Darts
15.5:33

Examination #2  Self Scheduled for ... Tuesday, April 20 evening and Wednesday April 21.
Covers material assigned from sections:14.2-14.8;15.1-15.4; 12.4
4/22-4/29
 34
15.6 Integration in 3 space (rectangular).
15.7and 15.8 Cylindrical and spherical coordinates. pp1000-1002; 1005-1006
 15.7:1-11 odd, 17
15.5: 3(mass only)
15.6: 3,9,11,13,33
15.7:1-11 odd
15.8: 1-5

4/22-4/30
 35
 12.4: pp790-792
15.7: pp1002-1003
15.8: pp1007-1009
 15.7: 17, 21
15.8: 17,21
4/30-5/3
 36
 16.1
16.2 pp 1034-1036; pp1041-1043		 16.1: 1, 11-18; 29-32
16.2:1,3; 19, 21

37
 16.3 pp1046-1048; 1049-1053
16.4 pp1055-1058
 16.3: 1, 3-5, 13
Final Examination: Self Scheduled : 
Covers material assigned  assignments 1-19; and from sections 12.4; 14.2-14.8;15.1-15.4, 15.7, 15.8 ; 16.1, 16.2. 


   

Tentative Schedule of Topics, Etc. (last revised 1-29-10 )
Week/Day Monday Tuesday Thursday  Friday
1
 1-18 Martin Luther King Day 
No Class

 
 1-19 Introduction- 
Begin review
Variables- relations-functions. 
What is calculus? Differential Equations?
     13.1 Introduction to 3-dimensional coordinate geometry.

2
  1-25 More on 3 dim. coordinate geometry.
 Introduction to vectors.
   More on vectors and functions
 13.1 "1 variable controlling 2" 
Transformations and graphs.
"1 variable controlling 2," 2 controlling 1". 		 More on vector algebra.
12.5 Lines: parametric and vector equations 2 &3 dim.

 11.1 Parametric curves .  Visualizations:
13.1, 13.2 Vector functions, tangent vectors and velocity.
 The tangent problem 11.2
"1 variable controlling 2 (or 3)."
3  Summary #1 Due 2-5
 2-1 Begin:Derivatives,Tangent lines, Differential equations and integrals . 13.2 Differential equations and integrals of vector functions. 13.2
Lengths: segments, vectors, arcs. 10.3,
 13..3 speed Smooth curves. Acceleration
13.4 
Arc length as an integral of speed.		 The Dot Product. 12.3.
4

 2-8 More on dot products. 
Smooth curves.
Finish up 1 variable controlling 2 and 3. The calculus of the"vector" derivative		 More on dot products Work and dot products
Planes in Space.
5Summary #2 Due 2-19
 2-15 The Calculus for r'(t).
 Curvature Formulae 13.3
 Begin "2 controlling 1 variable"

 Tables and Scalar fields. Level Curves. Linear Functions, Equations: Revisit Planes in Space.
Graphs and level curves of  functions of 2 and 3 variables.
Begin Partial Derivative.
 
6
 
 2-22  Linear (Affine)Functions- lines, planes and vectors.
Second order Partial derivatives.
More on tangents, partial derivatives, planes and "Tangent Planes". The Differentials.Concepts and definitions.

Limits and Continuity. Closeness, Approximations.
7   Exam #1 Self Scheduled 3-3
 3-1 Differentials, C1 and differentiable functions.
Geometry of differentiability- Tangent planes.  		 The Chain Rule (1-2-1)
  Chain Rule(2-2-1)  		 
Begin Directional derivatives and the gradient.Geometry of the gradient.

8
3-8 Finish Gradient and level curve/surfaces.
What is continuity?
What does differentiable mean?
Implicit Differentiation
More Gradient and level surfaces. Tangent planes from gradients.		 Whatever is still undone. :)
 No class- Furlough Day
9    Spring Break
10
 3-22 Testing for extremes. Extrema on compact sets 
  More odds and ends.

 The discriminant test. Quadratic forms. LaGrange Multiplier

11 Summary #3 Due 4/2 3-29 
NO CLASS Flashman Furlough Day
 Start Integration over rectangles 
4-1 More on Integration and iterated integrals
 Fubini's Theorem.
12
What about 4 variables: 1-3, 3-1, 2-2 ? 
5 variables? 2-3, 3-2?		 4-5 More on Integration and iterated integrals.
Beginning-basic properties.applications volumes.

Integration over compact regions.

 
 4-8 Average Value
The area problem.11.2(?) 		 More Integration over compact regions
13 Summary #4 Due 4/16
 4-12 Properties of integration in the plane.
Examples for changing order of Integration- factors in integration [e^(-x^2-y^2)]
Polar coordinates review assigned.
Begin Integration with Polar Coordinates.

 Quadric Surfaces 13.6?
Integration with Polar Coordinates.
The integral of exp(-x2). 		Begin Cross products
More Integration in the plane.		 .
4/16 More on planes and normal vectors with cross products.
14 Exam #2 Self Scheduled Tuesday/Wednesday 4/20-21
 4-19 Application to tangent plane.
Applications of integration in the plane and space to mass. Linear regression and "least squares."
Begin Integration in 3D. Cartesian coordinates		 Applications of integration (mass, probability and means?)  Begin cylindrical and spherical coordinates
15
 4-26Integration in Cylindrical and spherical coordinates  4-27  More work on integration and spherical coordinates.  
4-29 More work on integration and spherical coordinates.
Applications?
4-30A first look at other integration wtih one or two controlling variables.
16 Summary #5 Due 5-4/6? 5-3 Surface Integrals.I
Vector fields and line integrals.
 
Integration Over curves II. FT of calculus for line integrals.
 Finish Surface Area and Surface integrals II.
More  Integration. Conservative fields.
Green's theorem.
 Briefly 2-3 visualized
More! Review.!?





17 Final Examination Self scheduled
Review Session:
Sunday 3-5. BSS 3** TBA
Sample Final Exam Questions will be available on Moodle by TBA.
 Mon: 8:00 FOR 107
 Tues: 10:20 KA 104
 Thurs.: 10:20 KA 104 Fri: 10:20 KA 104