Last updated: 2-25-2015 Work in progress!
| Date Due | Assignment
Number |
|
WebAssign |
Related Graded problems are on WebAssign |
|
| 1/23 |
0 |
Review of Calc I and II | Look at Final Exams from Calc I and II | ||
| 1/27 |
1 |
12.1 |
HW #1 210 12.1 3D Coordinates | 12.1: 1-7 odd, 11, 19,21,24,25, 28 |
|
| 1/30-2/2 |
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 | 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 | |
| 2/10 |
Summary #1 due by 5:00pm. Cooperative Partnership Summaries: Every two/three weeks you will be asked to submit a summary of what we have covered in class. (No more than two sides of a paper.) These may be organized in any way you find useful but should not be a copy of your class notes. I will read and correct these before returning them. The summaries are to be submitted in a partnership (2-3 members). Exceptions by permission only. Each individual partner will receive corrected photocopies. Your summaries will be allowed as references at the final examination only. |
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| 2/12 |
POW #1 Problem of the Week #1: Thursday Feb 12 5:00 pm. |
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| 2/6-11 | 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 | |
| 2/9-12 | 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 | |
| 2/10-17 | 6 | 10.2 :arc length 13.2 p848 (Unit tangent vector) 13.3 arc length ( pp 853-855 middle ) 13.4 velocity and acceleration (p862- 866,Example 6) | HW #6 13.3 Arc Length13.4 Velocity and acceleration | 10.2: 37-41, 45, 51 13.2: 17-19, 27, 29 13.3: 1-4,7, 8 (arc length) 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 | |
| 2-20 | 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 |
| 2-20 | 9 |
13.2 pp 850-851(omit Theorem 3.formula5) | HW #9 Math 210 Calculus of derivatives | 13.3: 17b,19 b (curvature) | 13.3:30 |
| 2-23 | 10 | 12.5 819-821 with example 4 12.3 p804-805 13.1 (review?) | HW #10 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 |
| 2-24 | 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 | |
| 2-27 | 12 | 14.1 pp 882-887 | HW #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 | ||
| 2-26 | Summary #2 due by 5:00pm. Cooperative Partnership Summaries: Every two/three weeks you will be asked to submit a summary of what we have covered in class. (No more than two sides of a paper.) These may be organized in any way you find useful but should not be a copy of your class notes. I will read and correct these before returning them. The summaries are to be submitted in a partnership (2-3 members). Exceptions by permission only. Each individual partner will receive corrected photocopies. Your summaries will be allowed as references at the final examination only. | ||||
| 3-2 | 14 | 14.3 read pp900-903 | HW #14 M210 Partial Derivatives | 14.3: 3a,15-29 odd | |
| 3-3 | 15 | 14.3 read pp905-908 | HW #15 M210 More on Partial Derivatives! | 14.3: 24,26, 34, 31, 37; 45, 49, 51, 58 | |
| 3-4 | 16 | 14.4 read pp 915-919 | HW #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 | |
| 3-5 |
POW #2 Due Thursday March 5, 5 pm. Work for a Moving Particle. | ||||
| 3-6 | 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 |
| 3-9 | 19 | 14.5:
2-2-1
pp926-928 14.5: implicit... pp928-929 | HW #19 M210 Sp15 The Chain Rule II | 14.5:
7-11 odd, 21,22, 39, 43 14.5: 27-33 odd | |
| 3-13 | 20 | 14.3 read pp906-908 14.6 pp933-939 | HW #20 S15 level curves, surfaces and gradients | 14.3: 71,73,77,78 14.6: 7,8, 5, 11 -14; 21-23,27, 30 | |
| 3-23 | 21 | 14.6 p 940-942 | HW #21 M210 S15 More Gradients | 14.6:37,39,40,47;49,53 | |
| 3-30 | 22 | 14.7 pp 946-ex.2 p947; p 951 | HW #22 M210 S15 Extremes I | 14.7: 5-13 odd (use technology to see extreme/saddle) | |
| 4-2 | 23 | 14.7 p947-953 | HW #23 M210Sp15Extremes II | 14.7: 6,14,15,17 | Read
notes on Quadratic Functions on line. p930 |
| 4-6 | 24 | 14.8
pp 957-961 | HW #24 SP 15 Review of integration | 14.7:
27,29,31 14.8:1-9 odd | |
| 4-7 | 25 | 15.1 pp 951-955 | HW #25 SP 15 Integration I | 15.1: 3a,5,9 | 12.6: 47,49 |
| 4-9 | 26 | 15.1
pp974-978 15.2 p982-987 | HW #26 M210Sp 15 Integration II | 15.1:
11-13, 17,18 15.2:1-11 odd, 4, 8 | |
| 4-10 | 27 | 15.2 pp 961-964 15.3 pp 965- 969 | HW #27 M210SP 15 Integration for planar regions I | 15.2:
13-15, 18, 25, 29 15.3: 1-9 odd, 8, 11-15 odd | 15.2:33 |
| 4-14/17 | 28 and 29 | 15.3 pp 969-972 15.4 | HW #28 M210 SP 15 Review of Polar
coordinates HW #29 M210Sp 15 Integration with polar coordinates | 15.3: 12,19, 39-41
15.4: 1-13 odd1 | REVIEW: Read
10.3 on Polar coordinates. Read 10.5 on conics! See also: wikipedia on the Conic_section |
| 4/21 | 30 | 12.6 Surfaces | HW #30 M210S15 Quadric Surfaces | 15.3:
45-47 odd, 51, 55,61 12.6: 11-17 odd, 21-28, 37-39, 41,43 | 12.6: 47,49 |
| 4/27 |
31 | 15.7 Integration
in 3 space (rectangular). |
HW #31M210 Sp 15 Triple Integrals | ||
| 4/28 | 32 | 12.4
cross
products Notes on Cross Products |
HW #32 M210Sp 15 Cross Product | 12.4: 1-9 odd, 13, 15, 23 | |
| 4/30 |
33 |
15.7 Integration
in 3 space (rectangular). |
HW #33 M210 S15 Triple Integrals II |
15.7:1-11 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 |
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| 12.4: pp790-792 15.7: pp1002-1003 15.8: pp1007-1009 |
15.7: 17, 21 15.8: 17,21 |
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| 16.1 16.2 pp 1034-1036; pp1041-1043 |
16.1: 1, 11-18; 29-32 16.2:1,3; 19, 21 |
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| 16.3 pp1046-1048; 1049-1053 16.4 pp1055-1058 |
16.3: 1, 3-5, 13 |
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| 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 |
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| HW #19.5 Sp15 Tutorial on Limits that fail. | |||||
| Week/Day | Monday | Tuesday | Thursday | Friday | |
| 1 |
1/19 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 |
1/26 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 | 2/2 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. |
13.4 Smooth curves and parametrization (?) |
|
| 4 Summary #1 Due 2/10 POW #1 Submit Thursday 2/13 |
2/9 Smooth curves. Definite intgrals: Change in position - a vector. Arc length as an integral of speed. Lengths: segments, vectors, arcs. 10.2, 10.3, 13..3 speed Arc length as an integral. | velocity, speed Finish up 1 variable controlling 2 and 3. The calculus of the"vector" derivative |
The Dot Product. 12.3. Geometry of dot product with angles. Orthogonal vectors. Orthogonal vectors. |
acceleration More on dot products. |
|
| 5 | 2/16 Lines in the plane with dot products. Planes in Space. |
More Calculus for r'(t). Projections and Dot products. Work and dot product |
More on Work and dot products? Finish Velocity and Acceleration with example? Unit tangent vector. Revisit lines in the plane and Planes in Space. Begin "2 controlling 1 variable" Tables .Scalar fields Level Curves and surfaces of functions of 2 and 3 |
Begin visualize function with mapping diagram. Linear (Affine)Functions and Equations: lines, planes and vectors. |
|
| 6 Summary #2 Due 2/26 |
2/23 Begin the graph and mapping diagram of a function of 2 variables. |
Graphs and mapping diagrams | Begin Partial Derivative. | More! tangents, partial derivatives, planes and
"Tangent Planes". Second order Partial
derivatives. Start Differentials.Concepts and definitions |
|
| 7
POW #2 Due March 5. Work for a Moving Particle. |
3/2 Differentials, C1 and
differentiable functions. Geometry of differentiability-Tangent Planes |
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. 3/11 |
3/9 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. |
|
| 3/14 to 3/22 No Classes. Spring Break |
|||||
| 9Summary #3 Due 3/27 |
3/23 . 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 POW #3 Submit Friday 4/3 | 3/30 Start Integration over rectangles |
3/31 No Class CC Day. | 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? | 4/6 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 |
|
| 12Summary #4 Due 4/13 POW #4 Due April 17 5:00 pm. |
4/13 More Change of Order- example. Begin Integration with Polar Coordinates. |
Polar coordinates review assigned. More integration with Polar Coordinates. |
The integral of exp(-x2). | Quadric Surfaces 13.6? |
|
| 13 Exam #2 Self Scheduled Wed. April 22 | 4/20 Cross Product
|
More Integration in the plane. |
Cross
products Begin Integration in 3D. Cartesian coordinates |
More on cross products, planes and normal vectors More on Integration in 3D Compact Domains bounded by Surfaces. . |
|
| 14 POW # 5 Due May 1 5:00 pm. |
4/27 .
Finish Cross Product. More on Integration in 3D Compact Domains bounded by Surfaces. |
A first look at other
integration with one or two controlling variables. Parametrized curves and surfaces. Integration of functions over curves. |
Cylindrical coordinates. Integration of functions over curves. Vector fields and line integrals |
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? |
|
| 15Summary #5 Due 5/5 | 5/4 ?More work on integration and spherical coordinates.
Applications? Curvature Formulae 13.3 Applications of integration in the plane and space to mass, probability and means? 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 11, 12:40 -14:30 | Wednesday May 13, 10:20-12:10 | Thursday May 14 10:20-12:10 |
Thursday May 14 3:00-4:50 |
Friday May 15 10:20-12:10 |