Chaffey High School
AP Calculus
Current Information
Updated 21 November 2009

En Espaņol
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My
expectations:
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Of me, your teacher
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Of you, my student
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| 1. To treat you with respect
at all times. |
1. To treat me and your colleagues
with respect at all times. |
| 2. To provide you with an
orderly environment. |
2. To attend class and participate
in an orderly manner. |
| 3. To provide necessary discipline. |
3. To always cooperate and
never disrupt. |
| 4. To provide competent instruction
and motivation. |
4. To study and do all of
your work. |
| 5. To provide the required
content. |
5. To learn and master the
required content. |
Our class will be its
best if we each do our part!
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Strive to attend school every day.
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ASK questions and be a part of the
conversation. Attendance and participation are different things.
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READ your text. It would be
pretty silly for me to simply repeat the text's material in class.
So I expect you to read so we can do other activities in class.
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Commit to complete all activities and assignments
and turn them in on time.
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Get help early (don't wait until
it's too late!).
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Unit
Synopsis: Unit 4 introduces the second major part of our course:
integration. We study integration and its meaning from the standpoints of
accumulation of rate of change (numerical), area under a curve (graphical), and
antidifferentiation (analytic). In this unit, the Fundamental Theorem of
Calculus is proved along with its important implications.
The following programs
written for the TI-83 are useful for the numerical and graphical study of
definite integrals and differential equations. RSUMS is a
program that allows you to calculate the left, right, and average (Trapezoid
Rule) Riemann sums for a function of x that you enter into the
calculator's equation editor. SLOPEFLD
is a program that will draw a slope field for a differential equation in x
and y that you enter into the calculator's equation editor. You
must disable the graphing aspect of the editor (toggle the "=" sign) after
entering the differential equation and before executing the program.
EULERT is
a program that numerically performs Euler approximations on a differential
equation in x and y that you enter into the calculator's equation
editor.
EULERG is
a program that graphically performs Euler approximations on a differential
equation in x and y that you enter into the calculator's equation
editor. Again, you must disable the graphing aspect of the editor (toggle
the "=" sign) after entering the differential equation and before executing the
program. The above programs were obtained courtesy of Mr. John Jensen of
Rio Salado College in Tempe, Arizona.
This
Week in Calculus:
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Date
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Activity |
Assignment |
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Thursday, Oct. 29 |
- Return and discuss quiz.
- Curve sketching and families of curves
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3-7:
Pages 215-217, #1-6, 9-21 (3n),
71, 73
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Friday, Oct. 30 |
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Monday, Nov. 2 |
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Tuesday, Nov. 3 |
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Wednesday, Nov. 4 |
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Study! |
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Thursday, Nov. 5 |
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Friday, Nov. 6 |
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Monday, Nov. 9 |
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Optimization
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Notebooks due
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Tuesday, Nov. 10 |
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3-11: Pages 223-224,
#13-15, 19-21, 23, 24
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Wednesday, Nov. 11 |
Veteran's Day, No School
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Thursday, Nov. 12 |
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3-12: Pages 223-225, #17,
18, 26, 27, 29, 30, 33, 35
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Friday, Nov. 13 |
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Optimization
Sample AP problem
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3-13: Pages 225-228, #39,
40, 43, 46, 56, 58-60
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Monday, Nov. 16 |
- Differentials and propagation error
(linear approximation revisited)
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3-14: Pages
240-241, #1, 4, 5, 8, 9, 11-20 (3n), 27, 29, 30, 35-37
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Tuesday, Nov. 17 |
- Newton's method
- Optimizing graphically defined
functions (challenge problems)
- Review
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3-15: Pages 242-244, #9,
15-31 (4n), 51-67 (4n), 69, 71, 75, 79, 85-88
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Wednesday, Nov. 18
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Thursday, Nov. 19 |
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Friday, Nov. 20 |
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Monday, Nov. 23 |
Thanksgiving
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Tuesday, Nov. 24 |
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Wednesday, Nov. 25
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Thursday, Nov. 26 |
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Friday, Nov. 27 |
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Monday, Nov. 30 |
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Study! |
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Tuesday, Dec. 1 |
- Introduction to integration
- Exploration 4-1
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Study! |
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Wednesday, Dec. 2 |
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Thursday, Dec. 3 |
- Graphical and numerical integration
- Exploration 4-2
- Notebook Due
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Friday, Dec. 4 |
- The definite integral
- RSUMS
program
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Next
Quiz is Wednesday,
Dec. 9.
Final Exam is Tuesday, December 15. |
Yes, there is homework every
day, due the next day.
Contact me by
e-mail
or call me at (909) 988-5560 ext. 2434 if you have any concerns regarding
your student's progress in Calculus, my teaching, or the course content.
I will respond within 24 hours.
Important Dates:
Click
here for
important dates regarding the SAT and AP programs. Back to top...
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