MATH 210 Calculus III
Spring, 2013  11:00 -11:50  MTRF....KA104
Course Assignments and Schedule


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Last updated: 1-21-2013 Work in progress!

Assignment Problem List (Work in progress) 1-21-2013
*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
1/24
 0
 		Review of Calc I and II
Look at Final Exams from Calc I and II
1/25
 1
 		12.1
 HW #1 210   12.1 3D Coordinates 12.1: 1-7 odd, 11, 19,21,24,25, 28


2-1 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  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
2-5 3
 		3.1
10.2 Re-read 645-647
12.5 (i) pages 816-819(lines in space)
 HW # 3 M210   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
2-7 4
 13.2 vector derivatives and  tangent vectors: pp847-850(middle)
 HW #4 M210  13.2 Tangent Vectors (derivatives and integrals)
 13.2: 1,3-5,9,13,14
2-11 5
  13.2 integrals and de's p851

HW #5 210 Tangent Lines, Integrals, DE's (13.2)
13.2: integrals 33-39 odd, 38, 40
Not Yet Assigned
2-11
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)
2-12
 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
2-15
 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
2-19
 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
2-21
 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
2-22
 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
2-22
 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
2-25
 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
2-26
 13
 14.1
 HW #13 M210 F12 Graphs of Functions

2-28
 14
 14.3 read pp900-903 HW #14A M210 F12 Partial Derivatives 14.3: 3a,15-29 odd

15
 14.3 read pp905-908 HW #15 M210F12 More on Partial Derivatives! 14.3:  24,26, 34, 31, 37; 45,  49, 51, 58

16
 14.4 read pp 915-919 HW #16 m210F12 Linear Estimates and Tangent Planes 14.4: 1-5,7

17
 14.4  read  919-921
 HW #17 M210 F12 Differentials 14.4: 17,18, 25-28, 31, 33,36

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

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
4-4
 24
 14.8 pp 934-938
 HW #24 F12 Review of integration 14.7: 27,29,31
14.8:1-9 odd
4-5/8
 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

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



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 1-21-13 )
Week/Day Monday Tuesday Thursday  Friday
1
 1/21 MLK Day
No Class

 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
 1/28  More 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 2/4 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
 13.4  Acceleration
Arc length as an integral of speed.
Smooth curves.
4

 2/11 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. Geometry of dot product with angles. Orthogonal vectors. Lines in the plane with dot products. 		Planes in Space.
Projections and Dot products.
 Work and dot products
More Calculus for r'(t).
5  Summary #1 Due 2/18 2/18Begin "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.


Application of derivative calculus
The graph of a function of 2 variables.
Begin Partial Derivative.
Linear (Affine)Functions- lines, planes and vectors.
6
 
 2/25 
More! on tangents, partial derivatives, planes and "Tangent Planes".
 Second order Partial derivatives. The Differentials.Concepts and definitions
Differentials, C1 and differentiable functions.
Geometry of differentiability- Tangent planes.


7  Summary #2 Due 3/8
POW Optional
3-7
 		3/4 The Chain Rule (1-2-1) [Limits and Continuity. Closeness, Approximations.?]

Implicit Differentiation

 
What is continuity?
What does differentiable mean?
Implicit Differentiation

 
 
Gradient and level curve/surfaces.
8
Exam #1 Self Scheduled
Wednesday 3/13
 3/11 Chain Rule(2-2-1)

 (Review for exam #1)
Begin Directional derivatives and the gradient.
Geometry of the gradient. 		More Gradient and level surfaces Tangent planes from gradients.
3/18 to 3/22
No Classes. Spring Break
9
3/25 .
More on Tangent Planes.
Testing for extremes.
The discriminant test. Quadratic forms.
  Odds and ends

.Taylor and functions of 2 variables. (Synopsis)
Extrema on compact sets
LaGrange Multiplier


10 Summary #3 Due 4-5 or 4-8 4/1 No Class CC Day.




Start Integration over rectangles 		   More on Integration and iterated integrals
Fubini's Theorem.
Beginning-basic properties.applications volumes.		 Integration over compact regions.
11
What about 4 variables: 1-3, 3-1, 2-2 ? 
5 variables? 2-3, 3-2?		 4/8 Average Value
The area problem.11.2(?)

More Integration over compact regions


 
 Properties of integration in the plane.



12 Summary #4 Due
4/15 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
 4/22 Cross Product  More Integration in the plane.

   Quadric Surfaces 13.6?
  Cross products
More on planes and normal vectors with cross products..
Begin Integration in 3D. Cartesian coordinate
14
 4/29 .Applications of integration in the plane and space to mass, probability and means?
Integration in Cylindrical and spherical coordinates 

More work on integration and spherical coordinates. Applications? 
Surface Integrals.I		  A first look at other integration with one or two controlling variables. Vector fields and line integrals.
  Integration Over curves.
Curvature Formulae 13.3
15Summary #5 Due 5/6 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.!?
16 Final Examination
Self scheduled
Review Session:
Sunday TBA		 Monday
May 13
10:20-12:10		 Tuesday
May 14
10:20-12:10  		Wednesday,
May 15
12:40-14:30		                 
Friday,
May 17 10:20-12:10.