MATH 210 Calculus III
Fall, 2012  11:00 -11:50  MTRF....FR 107
Course Assignments and Schedule


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Last updated: 8-18-2012 Work in progress!

Assignment Problem List (Work in progress) 8-18-2012
*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 Assignment
Number
Read: Chapter.Section (pages)
 WebAssign
Recommended Problems
Related Graded problems are on WebAssign
Interesting/optional
8-24
 0
 		Review of Calc I and II
Look at Final Exams from Calc I and II
8-27/28
 1
 		12.1
 HW #1 210  F12 12.1 3D Coordinates 12.1: 1-7 odd, 11, 19,21,24,25, 28


8-31/9-4
 2
 10.1  [review] Read- Consider what this has to do with vectors.
10.2 645-647:tangents
12.2 pp770- 774 		HW #2 210 F12 Section 12.2 Introduction to Vectors
 10.1: 10,12, 14-16, 44, 31
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		 38, 39, 41,46,47
9/7-10
 3
 		3.1
10.2 Re-read 645-647
12.5 (i) pages 816-819(lines in space)
 HW # 3 M210 F12  12.5 and 13.1 Vectors, lines, and vector valued functions. 13.1: 3,4,19-24, 7,9,11,25,27
10.2:  7, 9,11, 15, 23, 30
12.5: 2-4,7,13
9/10-11
 4
 13.2 vector derivatives and  tangent vectors: pp847-850(middle)
 HW #4 M210F12  13.2 Tangent Vectors (derivatives and integrals)
 13.2: 1,3-5,9,13,14
9/14
 5
  13.2 integrals and de's p851

HW #5 210F12 Tangent Lines, Integrals, DE's (13.2)
13.2: integrals 33-39 odd, 38, 40


10.2 :arc length
13.2 p848 (Unit tangent vector)
13.3 arc length ( pp 853-855 middle )
10.2: 37-41, 45, 51
13.2: 17-19, 27, 29
13.3: 1-4,7, 8 (arc length)
9/14-17 6
 13.4 velocity and acceleration (p862- 866,Example 6)
 HW #6F12 13.3Arc Length13.4 Velocity and accelerat 13.4: 1-7 odd, 9-13, 15,17-19
9/10
 Summary 1  Weeks 1-3+






9/19
 7
 12.3 dot product HW #7 M210 F1212.3 The Dot Product I 12.3: 1,3,4,8-10,15,16, 23, 25
9/20
 8
12.3  (angles and projections)again... :)		 HW #8 M210F12 12.3 The Dot Product II 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
9/21-24
 9
 12.5 819-821   with example 4
12.3 p804-805
13.1 (review?)		 HW #9 M210 F12 Dot Products III (Lines and Planes) 12.5: 5,19,23-29 odd
12.3:45,47, 48, 51, 52
13.1: 28,29, 32		 12.3:54, 57-59
9/25
 10
 13.2 pp 850-851(omit  Theorem 3.formula5) HW #10 Math 210F12 Calculus of derivatives 13.3: 17b,19 b (curvature) 13.3:30
9/25-27
 11
 14.1 pp878-882
On-line Materials on 1 controlling 2 or 3 variables		 HW #11 m210f12 Functions of 2 or 3 Variables 14.1: 1,2, 5-9 odd, 15,17
9/27-10/1
 12
 14.1 pp 882-887 HW #12M210 F12 Level curves: 2 and 3 var 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
10/2
 13
 14.1
 HW #13 M210 F12 Graphs of Functions

10/2   Summary #2weeks 4 - 6 +
10/4
 14
 14.3 read pp900-903 HW #14 M210 F12 Partial Derivatives 14.3: 3a,15-29 odd
10/5
 15
 14.3 read pp905-908 HW #15 M210F12 More on Partial Derivatives! 14.3:  24,26, 34, 31, 37; 45,  49, 51, 58
10/8
 16
 14.4 read pp 915-919 HW #16 m210F12 Linear Estimates and Tangent Planes 14.4: 1-5,7
10/9
 17
 14.4  read  919-921
 HW #17 M210 F12 Differentials 14.4: 17,18, 25-28, 31, 33,36
10/11
 18
 14.2  pp 892-897
14.4 Finish Section.
14.5:  1-2-1 pp924-925 (Ex. 2) 		HW #18 M210 F12 The Chain Rule I 14.2: 3,4, 5-11odd
14.4: 11, 12, 35, 37
14.5: 1-4, 13, 35 		14.4: 45,46
Examination #1  Self Scheduled for Wed. 10-17.
Covers material assigned through #??

19
 14.5: 2-2-1 pp926-928
14.5: implicit... pp928-929		 HW #19 F12 Tutorial examples on Limits that fail. 14.5:  7-11 odd, 21,22, 39, 43
14.5: 27-33 odd

20 14.3 read pp906-908
14.6 pp933-939
 HW #20 F12 Directional Derivatives &The gradient 14.3: 71,73,77,78
14.6: 7,8, 5, 11 -14; 21-23,27, 30

21 14.6 p 940-942 HW #21M210F12 level curves, surfaces and gradients 14.6:37,39,40,47;49,53

22
 14.7 pp 946-ex.2 p947; p 951 HW #22 M210 F12 Extremes I 14.7: 5-13 odd (use technology to see extreme/saddle)

23
 14.7 p947-953 HW #23 M210F12 Extremes II 14.7: 6,14,15,17 Read notes on Quadratic Functions on line.
p930

24
 14.8 pp 934-938
 HW #24 F12 Review of integration 14.7: 27,29,31
14.8:1-9 odd

25
 12.6 Surfaces
15.1  pp 951-955		 HW #25 F12 Integration I 12.6: 11-17 odd, 21-28, 37-39, 41,43
15.1: 3a,5,9
12.6: 47,49

26
 15.1 pp956-958
15.2  p959-960		 HW #26 M210F12 Integration II 15.1: 11-13, 17,18
15.2:1-11 odd, 4, 8

27
 15.2 pp 961-964
15.3  pp 965- 969
 HW #27 M210F12 Integration for planar regions I 15.2: 13-15, 18,  25, 29
15.3: 1-9 odd, 8, 11-15 odd		 15.2:33

28 and 29
 15.3  pp 969-972
15.4
HW #28 M210 F12 Review of Polar coordinates
HW #29 M210F12 Integration with polar coordinates
 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

30
 12.4 cross products
Notes on Cross Products

 HW #30 M210F12 Cross Product
 15.3: 45-47 odd, 51, 55,61
12.4: 1-9 odd, 13, 15, 23

Examination #2  Self Scheduled for ... Wed. Nov. 14.
Covers material assigned through 15.4 HW 29

31 15.7 Integration in 3 space (rectangular).
 HW #31 M210 F12 Triple Integrals 15.7:1-11 odd


15.8and 15.9 Cylindrical and spherical coordinates. pp1027-1029; 1033-1036
 HW #32 M210 F12 Cylindrical Integration

15.8: 1-5

Not Yet Assigned


12.4: pp790-792
15.7: pp1002-1003
15.8: pp1007-1009
15.7: 17, 21
15.8: 17,21


16.1
16.2 pp 1034-1036; pp1041-1043
16.1: 1, 11-18; 29-32
16.2:1,3; 19, 21


16.3 pp1046-1048; 1049-1053
16.4 pp1055-1058
16.3: 1, 3-5, 13


15.5 pp980, 985-988
15.5:1, 27, 29
15.7:1-11 odd, 17
15.5: 3(mass only)
15.6: 3,9,11,13,33		 Darts
15.5:33
Final Examination: Self Scheduled : 
Covers material TBA


   



Tentative Schedule of Topics, Etc. (last revised 9-28-12 )
Week/Day Monday Tuesday Thursday  Friday
1
8/20 Introduction- 
Begin review

Variables- relations-functions. 
What is calculus? Differential Equations?		 13.1 Introduction to 3-dimensional coordinate geometry.
  More on 3 dim. coordinate geometry.
 Introduction to vectors.
2
 8/27More on Vectors and visualization  of vector algebra More vector stuff.
   13.2 "1 variable controlling 2" 
11.1 Parametric curves and vectors. 		  Visualizations: Transformations and graphs.
 More on vectors and functions
"1 variable controlling 2," 2 controlling 1".
3 9/3 Labor Day Holiday
No Class
  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)."

 Begin:Derivatives,Tangent lines, Differential equations and integrals . 13.2
Tangent lines, Lengths: segments, vectors, arcs. 10.2, 10.3, 13..3 speed
4  Summary #1 Due 9/10

 9/10 Differential equations and integrals of vector functions. 13.2
Lengths: segments, vectors, arcs. 10.3,
 13..3 speed Smooth curves.
13.4  Acceleration
Arc length as an integral of speed.
Smooth curves.

 Smooth curves.
Finish up 1 variable controlling 2 and 3.
The calculus of the"vector" derivative
The Dot Product. 12.3.		 More on dot products.
5 9/17 Planes in Space.




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.

 
6
 
 9/24  Work and dot products  9-25 The Calculus for r'(t).
9-27 Application of derivative calculus
The graph of a function of 2 variables.
 9-28 Graphs and level curves of  functions of 2 and 3 variables.
7  Summary #2 Due 10/2 10/1Begin Partial Derivative.
Linear (Affine)Functions- lines, planes and vectors.

10/2 Second order Partial derivatives.More on tangents, partial derivatives, planes and "Tangent Planes". 
[Limits and Continuity. Closeness, Approximations.?]		 12/4 The Differentials.Concepts and definitions

 
 10/5 The Chain Rule (1-2-1)


8
10/8
I mplicit Differentiation
Differentials, C1 and differentiable functions.
Geometry of differentiability- Tangent planes.
  10/9
What is continuity?
What does differentiable mean?
Implicit Differentiation
10/11
Gradient and level curve/surfaces. 		10/12 Chain Rule(2-2-1)
Begin Directional derivatives and the gradient.
Geometry of the gradient.
9Exam #1 Self Scheduled
Wednesday 10/17 		10/15
More Gradient and level surfaces.

10/16 (Review for exam #1)
Tangent planes from gradients.
 10/18 More on Tangent Planes.
Testing for extremes.
 
10/19

The discriminant test.
Quadratic forms.

10 Summary #3 Due 10/26 10/22 More odds and ends.
Taylor and functions of 2 variables. (Synopsis)


 10/23 Extrema on compact sets
LaGrange Multiplier
Start Integration over rectangles 		 10/25 More on Integration and iterated integrals
Fubini's Theorem.
Beginning-basic properties.applications volumes.		 10/26 Integration over compact regions.
11
What about 4 variables: 1-3, 3-1, 2-2 ? 
5 variables? 2-3, 3-2?		 10/29  Average Value
The area problem.11.2(?)

More Integration over compact regions


 
 Properties of integration in the plane.


12 Summary #4 Due 11/9
 11/5 Examples for changing order of Integration- factors in integration [e^(-x^2-y^2)]
Polar coordinates review assigned. 		Begin Integration with Polar Coordinates.

 Polar coordinates review.
Begin Integration with Polar Coordinates.		 More integration with Polar Coordinates.
The integral of exp(-x2).

13 Exam #2 Self Scheduled TBA
 11/12 Veteran's Day
No class
 11/17 Cross Product 
More Integration in the plane.

 11/19  Quadric Surfaces 13.6?
  Cross products
More on planes and normal vectors with cross products..
Begin Integration in 3D. Cartesian coordinate
14 Break
 Thanksgiving Break  No classes
15Summary #5 Due 12/1
  11/26 .Applications of integration in the plane and space to mass, probability and means?
Integration in Cylindrical and spherical coordinates 
11/27
More work on integration and spherical coordinates. Applications? 
Surface Integrals.I		   11/29
A first look at other integration with one or two controlling variables. Vector fields and line integrals.
11/30 Integration Over curves.
Curvature Formulae 13.3
16  12/3  FT of calculus for line integrals.
 
Finish Surface Area and Surface integrals II.
More  Integration. Conservative fields.
 More on conservative fields.
Green's theorem.
 Briefly 2-3 visualized
More!
Application to tangent plane.
Applications of integration in the plane and space to mass. Linear regression and "least squares." Review.!?





17 Final Examination Self scheduled
Review Session:
Sunday
Sample Final Exam Questions will be available on Moodle by ???.
 Mon: 12/10
10:20 FOR 107

12:40 Harry Griffith Hall 226
 Tues: 12/11
10:20   FOR 107
 7