| Instructor: | Jonathan White |
| E-Mail: | JWhite@Coe.Edu |
| Web Page: | http://www.coe.edu/~jwhite/ |
| Office: | Hickok 206A |
| Office Hours: | 10:00-10:50 MWF, 3:00-3:50 MTW, and by appointment |
| Office Phone: | 399-8280 |
| Home Phone: | 841-5111 (between 7am and 11pm) |
| Text: | Calculus, Early Transcendentals, 4th Edition, by James Stewart, Brooks/Cole. |
| Problem Sets and Quizzes: | Assorted Problem Sets will be given throughout the term to supplement class work. Many of these will benefit from the use of the software package Maple, which is available on the computers in the labs throughout campus. Quizzes will also be given frequently. Combined these will be worth 300 points (30% of the final grade). |
| Exams: | There will be five exams during the course of the semester, administered
during class time. The dates of these are indicated in the schedule on
the back side of this sheet. These exams will be worth 100 points (10%
of the final grade) each.
The final exam will be given Wednesday, December 11th at 1pm, and will be worth 200 points (20% of the final grade). |
| Grading: | Grading will approximately follow a 90% A, 80% B, 70% C, 60% D scale. |
Calculus 3 is the culmination of the calculus sequence, and this presents
challenges in at least three respects. First, ability to visualize and
use spatial intuition is taken to a new level. Second, computations are
in some cases correspondingly bigger and longer. Third, abstract theoretical
considerations become a more central element, sometimes overshadowing mere
computations as the most important material.
In response to all three of these considerations the judicious use of
technology can be a valuable aid. Sophisticated calculators such as the
TI-89 and computer software packages such as Maple, when used properly,
can lead to easier and deeper understanding of the course material. However
the use of this technology itself involves a significant learning experience,
and often significant frustrations. We will attempt to use Maple
in this course when the benefits are the greatest, and assist you in its
use enough to keep the frustrations to a minimum.
If at some point these challenges or frustrations get too bad, I strongly
encourage you to see me for extra explanation -- don't wait until you're
overwhelmed. I'm here to help.
Tentative Schedule
|
§11.1 Sequences |
§11.2 Series |
§11.3 The Integral Test |
§11.4 Comparison Tests |
|
No Class -- Labor Day |
§11.5 Alternating Series |
§11.6 Abs. Convergence |
§11.6 The Ratio Test |
|
§11.7 Strategies |
§11.8-9 Power Series |
§11.10 Taylor Series |
§11.11 Binomial Series |
|
§11.12 Applications |
Review for Exam |
Exam 1 |
§12.1-2 3 and Vectors |
|
§12.3 Dot Products |
§12.4 Cross Products |
§12.5 Lines & Planes |
§12.6 Quadric Surfaces |
|
§12.7 Cyl. & Sph. Coord. |
§13.1 Vector Functions |
§13.2 & §13.4 r(t) |
§13.3 Arc Len. & Curv. |
|
Review for Exam |
Exam 2 |
§14.1 f:n |
§14.2 Limits & Cont. |
|
No Class -- Fall Break |
No Class -- Fall Break |
§14.3 Partial Derivatives |
§14.4 Tangent Planes |
|
§14.5-6 Chain Rule&Duf |
§14.7&8 Optimization |
Review for Exam |
Exam 3 |
|
§15.1 Double Integrals |
§15.2 MoreDoub. Int. |
§15.3 General Doub. Int. |
§15.4 Doub. Int. in Polar |
|
§15.5 Applications |
§15.6 Surface Area |
§15.7 Triple Integrals |
§15.8 Int. in Cyl. & Sph. |
|
§15.9 The Jacobian |
Review for Exam |
No Class -- Registration |
Exam 4 |
|
§16.1 Vector Fields |
§16.2 Lines Integrals |
§16.3 Fund. Thm. L. Int. |
§16.4 Green's Theorem |
|
§16.5 Curl & Divergence |
§16.6-7 Surface Integrals |
No Class--Thanksgiving |
No Class--Thanksgiving |
|
§16.8 Stokes' Theorem |
§16.9 Div. Theorem |
Review for Exam |
Exam 5 |
|
Final Exam |
|||
Any student in this course who has a disability that may prevent him or her from fully demonstrating his or her abilities should contact me personally as soon as possible so that we can discuss accommodations necessary to ensure full participation and facilitate your educational opportunities.