## 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
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the first date is for preparation and/or starting problems,
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Date Due Assignment
Number
WebAssign

Recommended Problems
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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
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
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

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.

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

 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