MATH 210 Calculus III
Spring, 2014  10:00 -10:50  MTRF....FH_177
Course Assignments and Schedule




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Last updated: 3-3-2014 Work in progress!


Assignment Problem List (Work in progress) 3-4-2014
*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 Additional Problems
Related Graded problems are on WebAssign
Interesting/optional
1/29
0
Review of Calc I and II
Look at Final Exams from Calc I and II
1/27-28
1
12.1
HW #1 210   12.1 3D Coordinates 12.1: 1-7 odd, 11, 19,21,24,25, 28


1/28-30
2
10.1  [review] Read- Consider what this has to do with vectors.
10.2 :(tangents) p645-647
12.2 : pp791- 797
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
2/3-4
3
13.1
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


2/6
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

2/7
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

2/7
6
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)

2/10-11
6.5
13.4 velocity and acceleration (p862- 866,Example 6)
HW #6 13.3 Arc Length13.4 Velocity and acceleration 13.4: 1-7 odd, 9-13, 15,17-19

2/17
7
12.3 dot product HW #7 M210 12.3 The Dot Product I 12.3: 1,3,4,8-10,15,16, 23, 25
2/17-18
8
12.3  (angles and projections)again... :) HW #8 M210 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
2/18
9
12.5 819-821   with example 4
12.3 p804-805
13.1 (review?)
HW #9 M210  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

2/20
10
13.2 pp 850-851(omit  Theorem 3.formula5) HW #10 Math 210 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 m210 Functions of 2 or 3 Variables 14.1: 1,2, 5-9 odd, 15,17
2/24
12
14.1 pp 882-887HW #12M210 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

2/27
13
14.1
HW #13 M210  Graphs of Functions

2/28
14
14.3 read pp900-903HW #14 M210  Partial Derivatives 14.3: 3a,15-29 odd
3/3
15
14.3 read pp905-908HW #15 M210 More on Partial Derivatives! 14.3:  24,26, 34, 31, 37; 45,  49, 51, 58
3/4
16
14.4 read pp 915-919HW #16 m210 Linear Estimates and Tangent Planes 14.4: 1-5,7
3/5
17
14.4  read  919-921
HW #17 M210  Differentials 14.4: 17,18, 25-28, 31, 33,36
3/7
18
14.2  pp 892-897
14.4 Finish Section.

14.5:  1-2-1 pp924-925 (Ex. 2)
HW #18 M210  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
3/10-11
19
14.5: 2-2-1 pp926-928
14.5: implicit... pp928-929
HW #19 M210 Sp14 The Chain Rule II
HW #19.5 Sp14 Tutorial on Limits that fail.

14.5:  7-11 odd, 21,22, 39, 43
14.5: 27-33 odd

3/14-24
20 14.3 read pp906-908
14.6 pp933-939
HW #20 F14 Directional Derivatives &The gradient14.3: 71,73,77,78
14.6: 7,8, 5, 11 -14; 21-23,27, 30

3/14-24
21 14.6 p 940-942HW #21M210F14 level curves, surfaces and gradients 14.6:37,39,40,47;49,53
3/27
22
14.7 pp 946-ex.2 p947; p 951HW #22 M210 F14 Extremes I 14.7: 5-13 odd (use technology to see extreme/saddle)
3/28
23
14.7 p947-953 HW #23 M210F14 Extremes II 14.7: 6,14,15,17Read notes on Quadratic Functions on line.
p930
4/3
24
14.8 pp 957-961
HW #24 F14 Review of integration 14.7: 27,29,31
14.8:1-9 odd

4/8
25
15.1  pp 951-955HW #25 F14 Integration I 15.1: 3a,5,9
12.6: 47,49
4/10
26
15.1 pp974-978
15.2  p982-987
HW #26 M210F14 Integration II 15.1: 11-13, 17,18
15.2:1-11 odd, 4, 8

4/11
27
15.2 pp 961-964
15.3  pp 965- 969
HW #27 M210F14 Integration for planar regions I 15.2: 13-15, 18,  25, 29
15.3: 1-9 odd, 8, 11-15 odd
15.2:33
4/14-18
28 and 29
15.3  pp 969-972
15.4

HW #28 M210 F14 Review of Polar coordinates
HW #29 M210F14 Integration with polar coordinates
15.3: 12,19, 39-41
15.4: 1-13 odd
1

REVIEW: Read 10.3 on Polar coordinates.
Read 10.5 on conics!
See also: wikipedia on the Conic_section
4/22-25
30
30A
12.4 cross products
Notes on Cross Products

12.6 Surfaces
HW #30 M210S14 Quadric Surfaces
HW #30A M210F14 Cross Product
15.3: 45-47 odd, 51, 55,61
12.4: 1-9 odd, 13, 15, 23

2.6: 11-17 odd, 21-28, 37-39, 41,43

12.6: 47,49
4/28-29
31A and B
15.7 Integration in 3 space (rectangular).
HW #31 M210 F12 Triple Integrals15.7:1-11 odd
Below this line is not yet assigned!


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 2-20-2014 )
Week/Day Monday Tuesday Thursday  Friday
1
 1/20 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
1/27  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 2/3 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

More on DE's and integrals. Definite intgrals: Change in position - a vector.

  Lengths: segments, vectors, arcs. 10.2, 10.3, 13..3 speed
Arc length as an integral

13.4  velocity, speed and acceleration
Arc length as an integral of speed.
Smooth curves and parametrization (?)

4 POW #1 Submit Thursday 2/13

2/10 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. 
Orthogonal vectors.

Lines in the plane with dot products.
Planes in Space.

Projections and Dot products.
Work and dot product

5  Summary #1 Due 2/17 2/17 More on Work and dot products
More Calculus for r'(t).





Begin "2 controlling 1 variable"
Tables
.



Scalar fields
Level Curves and surfaces  of  functions of 2 and 3
Linear Functions, Equations:
Revisit lines in the plane and Planes in Space.
Begin visualize function with mapping diagram.


The graph and mapping diagram of a function of 2 variables.
Linear (Affine)Functions- lines, planes and vectors.
Begin Partial Derivative.

6
 

#2 Curvature   Due Feb 28
2/24
More! on tangents, partial derivatives, planes and "Tangent Planes".
 Second order Partial derivatives. Tangent planes.
Start Differentials.Concepts and definitions
Differentials, C1 and differentiable functions.
Geometry of differentiability-Tangent Planes


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

 
What is continuity?
What does differentiable mean?
 
 
Definition of limit.
Review of continuity and differentiability.
Gradient and level curve/surfaces.



8
Exam #1 Self Scheduled
Wed. 3/12
3/10 Begin Directional derivatives and the gradient.
Geometry of the gradient.

 (Review for exam #1)
More Gradient and level surfaces
Tangent planes from gradients.
More on Tangent Planes.
Testing for extremes.

3/17 to 3/21
No Classes. Spring Break


9
3/24 .
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 4/4   3/31No Class CC Day.



4/1
Start Integration over rectangles 
  More on Integration and iterated integrals
Fubini's Theorem.
Beginning-

11
What about 4 variables: 1-3, 3-1, 2-2 ? 
5 variables? 2-3, 3-2?
4/7 Integration over compact regions. Basic properties.applications volumes.

The area problem.11.2(?)
More Integration over compact regions
Examples for changing order of Integration- factors in integration [e^(-y^2)]
Properties of integration in the plane.
Average Value

12
POW #3 Submit Friday 4/18
4/14
Polar coordinates review assigned. Begin Integration with Polar Coordinates.
More integration with Polar Coordinates.


The integral of exp(-x2). Quadric Surfaces 13.6?


13Summary #4 Due 4/21 Exam #2 Self Scheduled 4/23 4/21 Cross Product 
Cross products
More Integration in the plane.

More on planes and normal vectors with cross products..
Begin Integration in 3D. Cartesian coordinates
More on Integration in 3D Compact Domains bounded by Surfaces.
A first look at other integration with one or two controlling variables.
Vector fields and line integrals.

14
4/28 . More integration Over curves.
Curvature Formulae 13.3
FT of calculus for line integrals.
Integration in Cylindrical and spherical coordinates Applications of integration in the plane and space to mass, probability and means?
More work on integration and spherical coordinates. Applications? 
 

15Summary #5 Due 5/5 Surface Integrals.I
 
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 12
10:20-12:10
Art 27          
Thursday
May 15
10:20-12:10
FH 177        
Thursday
May 15
12:40-14:30
Art 27          
Friday
May 16
10:20-12:10
FH 177