Last updated: 5-3-05 Work in progress!
Date Due | Asignment Number |
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1-18 & 1-20 |
1 |
Review of Calc I and II | Look at Final Exams from Calc I and II | |
1-21-Read only 1-24: Do problems |
2 |
11.1 Read- Consider what this has to do with vectors. | 11.1: 1-7 odd, 11, 19,21,24,25, 28 (revised 1-21)
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1-25 |
3 | 11.1 | 11.1: 10,12, 14-16, 44, 31 | 38, 39, 41,46,47 |
1-28 |
4 |
11.2 696-698:tangents 13.2 pp834- 838 |
11.2: 1,2,3,5,6 13.2: 17,19,21,23-25, 37 |
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1-31 |
5 |
11.2 Re-read 696-698 13.1 13.5 (i) pages 858-861 (lines in space) |
11.2: 7, 9,11, 15, 23, 30 13.1: 1, 3, 4, 11, 15, 23-29 odd 13.5: 2-4,7,13 |
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2-1 or 2-3 * |
6 |
14.1 14.2 vector derivatives and tangent vectors: pp892-895(middle) |
14.1: 3,4,19-24, 7,9,11,25,27 14.2: 1,3-5,9,13,14 |
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2-3 |
7 |
11.2 699-701( middle):arc length 14.3 898-899 Ex. 1. |
11.2: 37-41, 45, 51 |
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2-4 |
8 |
14.2 p893 (Unit tangent vector) 14.3 arc length (898-900) |
14.2: 17-19, 27, 29 14.3: 1-4,7, 8 (arc length) |
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2-7 |
9 |
14.2 integrals and de's p 896 |
14.2: integrals 33-39
odd, 38, 40
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2-15 |
POW #1 |
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2-8 and 2-10* |
10 |
11.2: 698-699: area 14.4 velocity and acceleration (906-910) 13.3 dot product |
11.2: 31- 33 14.4: 1-7 odd, 9-13, 15,17-19 13.3: 1,3,4,8-10,15,16, 23, 25 |
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2-11 |
11 |
14.2 13.3 |
14.2: 41,45,49 13.3: 5-7, 11, 17, 18, 21, 24, 26,27; 35,36,41,42, 50 |
14.2: 42,44 |
2-14 |
12 |
13.1 (review?) 13.3 p848-9 14.1 (review?) |
13.1: 7-9,13,14 13.3:45,47, 48, 51, 52 14.1: 28,29, 32 |
13.3:54, 57-59 |
2-15 |
13 |
14.3 Curvature I (p900and Ex.3) | 14.3: 13b,15 b (curvature) | 14.3:20 11.3 :69 |
2-17 |
14 |
13.5 861-862 to example
4 15.1 pp 923-926 On-line Materials on 1 controlling 2 or 3 variables |
13.5: 5,19,23-29 odd 15.1: 1,2, 5-9 odd, 15,17 |
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2-18 |
15 |
15.1 pp 926-933 |
15.1:Sketch a scalar field for the integer lattice
of [-2,2]x[-2,2] : 21-27,37-43 odd Not reported on Blackboard. |
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2-22 (5 pm) |
Summary #2 |
weeks 4 & 5 |
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2-21 |
16 |
15.1 | 15.1: 30, 37-39,45, 53-58 (Graphs) 15.1: 19, 33, 34, 65,69 |
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2-22 |
17 |
15.3 read pp945-948 | 15.3: 3,13-27 odd | |
2-24 |
18 |
15.3 read pp948- 953 | 15.3:8, 24,26, 34, 37, 39; 45, 47, 49, 48, 53, 58 | |
* 2-25 and 2-28 |
19 |
15.3 read pp 953-955 15.4 read 959-960 |
15.3: 65, 67, 68, 70(a,c), 71, 78 15.4: 1-5,7 |
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2-28 |
20 |
15.4 read 961-964 (including Example 5) | 15.4: 17,18, 23-26, 29, 31,36 | |
* 3-1 and 3-3 |
21 |
15.2 pp 938-943 15.4 Finish Section. |
15.2: 3,4, 5-11odd 15.4: 11, 12, 27, 35, 37 |
15.4: 41,42 |
3-4 |
22 |
15.5: 1-2-1 p967-9 (Ex. 2) 15.5: 2-2-1 p969-972 |
15.5: 1-4, 13, 35 ; 7-11 odd, 21,22, 39, 43 | |
3-7 | Summary #3 |
Weeks 6 and 7 |
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3-9 |
Exam #1 covers Assigned Material through Assignment 22
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3-7 |
23 |
15.5 implicit... p972-3 |
15.5: 27-33 odd |
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3-8 |
24 |
15.6 read pp976-979 15.6 read pp979-983 |
15.6: 7,8, 5, 11 -14; 21-23,27, 30 | |
3-10 and 3-11* | 25 |
15.6 p 984-986 | 15.6:36,37,47;49,53,59 | |
3-11 |
26 |
15.7 pp 989-ex.1 p990; p 995 | 15.7: 5-13 odd (use technology to see extreme/saddle) | Prep for Friday: |
3-22 and 3-24* | 27 |
15.7 p990-995 p1000 |
15.7: 6,14,15,17 |
Read
notes on Quadratic Functions on line. p1000 #4 |
3-28 |
28 |
15.7 Example 7 15.8 pp 1001-1005 |
15.7: 27,29,31 15.8:1-9 odd,23-31 odd |
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4-5 |
POW #4 |
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3-29 |
29 |
13.6 Surfaces 16.1 pp 1017-1021 |
13.6: 11-17 odd, 21-28, 37-39, 41,43 16.1: 3a,5,9 |
13.6: 47,49 |
4-1 and 4-4 |
30 |
16.1 pp1022-1024 16.2 p1026-1027 |
16.1: 11-13, 17,18 16.2:1-11 odd, 4, 8 |
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4-5 |
31 |
16.2 p1027-1030 |
16.2: 13-15, 18, 25, 29 |
16.2:33 |
4-7 and 4-8* | 32 |
16.3 pp1031-1033 | 16.3: 1-9 odd, 8, 11-15 odd | |
4-8 |
33 |
16.3 pp 1033-1036 | 16.3: 12,19, 37-39 | |
4-11 and 4-12* | 34 |
16.3 13.4 cross products Notes on Cross Products |
16.3: 43-47 odd, 48, 49 13.4: 1-9 odd, 13, 15, 23 |
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4-14 |
35 |
13.4 11.3: 705-707 read! |
13.4: 29,30, 33, 41,18,42,4 |
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4-15 |
36 |
11.3:....705-710 |
11.3: 1-3,5,7-11;15-17, 31-35, 54 | |
4-18 |
37 |
11.3: 710-713 11.4 p718 polar coordinates (Arc length) |
11.3:37-45 odd ; 55-65 odd 11.4: 45-49 odd |
11.369-71,79 |
Examination #2 Self Scheduled for 4-20-05
Covers material assigned through #37 |
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4-19 and 4-21* | 38 |
11.4 p715-717 16.4 Integration in polar coordinates. |
11.4: 1-5 odd, 9 16.4:1-13 odd |
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4-22 and 4-25* | 39 |
16.7 Integration in 3 space (rectangular). | 16.7:1-11 odd, 17 | |
4-26 |
40 |
16.5 1045-1046 (Density and mass) 1050-1054 (probability) |
16.5: 1, 3(mass only), 23, 25 |
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4-28 and 4-29* | 41 |
13.7 Cylindrical and spherical coordinates. 16.7 16.8 Integration in 3 space (Cylindrical and polar) |
13.7: 3-9 odd, 13-19 odd, 31,35,36,39, 40, 49-51 16.7: 27, 39 find mass only, 49 16.8:1,2, 5,7 , 15( Mass only) |
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5-2 and 5-3 |
42 |
16.8 spherical Integration 16.6 Surface area |
16.8: 3,17,33,35 16.6:1-7 odd |
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5-5 |
17.1 Vector Fields | 17.1:1-7 odd, 15-18,21,27,29-32 | ||
5-2 |
POW #6 | |||
Inventory of Assignments |
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13.1 |
13.1: 5, 6, 21, 31,33,35-37 | |||
13.5 |
13.5: 31, 33, 35,53 |
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13.5 |
13.5: 51, 55-57, 65, 67 |
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14.1 |
37 |
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14.3 Example 5 |
14.3: 23-25,31,37,38 |
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15.2 | 15.2: 17, 21,25, 27,31 | |||
16.4 |
17-19, 21-25 odd, 29, 35 |
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17.3 pp1114 examples 2 -4a, 5. |
3-9 odd. [NOTE: A vector field is called
conservative
if
it is the gradient vector field for a potential function.] |
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17.3 pp 1110-1117 |
13,15,17,21,29-31 |
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17.2 Line Integrals 1098 -1100, ex.3, 1103-1104, 1105-1107 |
7,19, 21, 37 |
Week/Day | Monday | Tuesday | Thursday | Friday |
1 |
No Class MLK Day |
1/18 Introduction-
Begin review Variables- relations-functions. What is calculus? Differential Equations? |
1/20 Introduction to 3-dimensional coordinate geometry. |
1/21 13.1
Introduction to vectors. |
2 |
1/24 13.2 "1 variable controlling 2"
11.1 Parametric curves . Visualizations: Transformations and graphs. |
1/25 More on vectors and functions
"1 variable controlling 2," 2 controlling 1". |
1/27 More on vector algebra. |
1/28 Lines: parametric and vector equations 2 &3
dim. 13.5 |
3 | 1/31 The tangent problem 11.2
"1 variable controlling 2 (or 3)." Vector functions, tangent vectors and velocity. 14.1, 14.2 |
2/1Tangent lines, Lengths: segments, vectors, arcs. 11.2, 11.3, 14..3 speed | 2/3 Smooth curves. Acceleration 14.4
Arc length as an integral of speed. |
2/4 Differential equations and integrals of vector functions. |
4
Summary #1 Due 2-7 |
2/7 The Dot Product. 13.3. | 2/8 More on dot products.
Finish up 1 variable controlling 2 and 3. The calculus of the"vector" derivative |
2/10 More on dot products | 2/11 The Calculus for r'(t). |
5 | 2/14 Curvature Formulae 14.3 | 2/15 Begin "2 controlling 1 variable". Begin Linear Functions, Equations: Planes in Space. |
2/17 Tables and Scalar fields. Level Curves. | 2/18 Graphs and level curves
of functions of 2 and 3 variables. |
6
Summary #2 Due 2-22 |
2-21 Begin Partial Derivative. Linear (Affine)Functions- lines, planes and vectors. | 2-22 Second order Partial derivatives. |
2/24 More on tangents, partial derivatives, planes and "Tangent Planes". | 2/25
The Differentials.Concepts and definitions. |
7 | 2-28 What is continuity? What
does differentiable mean? Limits and Continuity. Closeness, Approximations. |
3-1
Differentials, C1 and differentiable functions. Geometry of differentiability- Tangent planes. |
3-3 The Chain Rule (1-2-1) Chain Rule(2-2-1) |
3-4 Implicit Differentiation |
8 Summary #3 Due 3-7
Exam #1 Self Scheduled for Wednesday 3-9 |
3-7 Begin Directional derivatives and the gradient.Geometry of the gradient. | 3-8.Finish Gradient and level curve/surfaces. Review for Exam. |
3-10 More Gradient and level surfaces. Tangent planes from gradients. |
3-11 Testing for extremes. |
9 | 3-14 No Class (Break) | 3-15 | 3-17 | 3-18 |
10 | 3-21 Extrema on compact sets |
3-22
More odds and ends. |
3-24 The discriminant test. Quadratic forms. | 3-25 LaGrange Multiplier |
11Summary #4 Due 3-29 |
3-28 Quadric Surfaces 13.6 Start Integration over rectangles |
3-29
Linear regression and "least squares." 15.7 problem 51. |
3-31 NO Classs C.C. Day | 4-1
More on Integration and iterated integrals. Fubini's Theorem. |
12What about 4 variables: 1-3, 3-1, 2-2 ?
5 variables? 2-3, 3-2? |
4-4 More on Integration and iterated integrals.
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4-5 Average Value The area problem.11.2(?) Beginning-basic properties.applications volumes. Integration over compact regions. |
4-7 More Integration over compact regions. |
4-8 .. Properties of integration
in the plane. Begin Cross products More on planes and normal vectors with cross products.. |
13 | 4-11 Cross Product
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4-12 Application to tangent plane. More Integration in the plane. Begin Polar coordinates |
4-14 Polar coordinates- curves in the plane. |
4-15 Tangents. Arc length in Polar coordinates |
14 Exam #2 Self Scheduled for Wednesday 4-20 |
4-181 Integration with Polar Coordinates. |
4-19 More integratioion with Polar Coordinates.The integral of exp(-x2). | 4-21 Applications of integration in the plane and space to mass. | 4-22 Begin Integration in 3D. Cartesian coordinates |
15 | 4-25More Applications of integration (mass, probability and means?) |
4-26
Begin cylindrical and spherical coordinates
Integration in Cylindrical. |
4-28 More Integration in Cylindrical and spherical coordinates Integration surface Area.
Briefly 2-3 visualized |
4-29 . More work on integration and spherical coordinaates. |
16 | 5-2 Vector fields and line integrals
2-2 Transformations and vector fields. |
5-3 Integration Over curves. Vector fields and line integrals
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5-5 Green's theorem? | 5-6 Review.!? |