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AP Calculus
Home Schedule Philosophy Contact Info AP Calculus Math Analysis Trigonometry BC Calculus

 

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Philosophy
Contact Info
AP Calculus
Math Analysis
Trigonometry
BC Calculus

  Objectives and Assignments

AP Calculus is a course designed to prepare students to take the College Board AP Calculus AB exam.  This course includes a study of limits, derivatives, and integrals.  The concentration of this course is on the concepts of Calculus.  We will cover Chapters 2-6 and portions of chapters 1, and 7 from Larsonís Calculus.

 

The main ideas of Calculus are credited to Gottfried Leibniz Sir Isaac Newton (pictured above).  These ideas have been around for quite a while.   Newton and Leibniz were working in the 1600ís. 

 

Objectives

 10/4/02

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Find the extrema on a closed interval.

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Writing:  What are the extreme points of an interval?  Where do they occur?

10/7/02

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Apply Rolle's Theorem

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Apply the Mean Value Theorem

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Writing:  What is the algebraic meaning of the Mean Value Theorem?  What is the geometric meaning?

10/8/02

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Know the relationship of the sign of the first derivative to increasing and decreasing functions.

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Apply the First Derivative Test.

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Writing:  What is the relationship between the first derivative of a function and where the function is increasing or decreasing?  How does the First Derivative Test work?

10/9/02

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Know the relationship between the sign of the second derivative and concavity.

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Apply the Second Derivative test.

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Writing Assignment:  What is the relationship between the second derivative and concavity?  What is a point of inflection? How do you find one?

10/10/02

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Find the limit of a function as x goes to + or - infinity.

10/11/02

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Graph functions using intercepts, asymptotes, and derivatives.

10/14/02

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More graphing.

 

 

 

Assignments
Date Page Selected Problems
10/4 182 10,14,15,16,20,22,24,26
10/7 189 4,8,14,16,22,24,30,31,34
10/8 197 8,16,20,28,30,32,36-38,41,46
10/9 204 6,20,26,32,36,42,44,52,53
10/10 213 1-8,10,18,20,22,26,28,32,51,53,54
10/11 Handout all
10/14 Packet all

Some interesting Web Sites you may wish to visit www.collegeboard.org/ap/students/calculus/,www.mecca.org/~halfacre/MATH/lessonshalfacre/MATH/lessons

www.pipeline.com/~merlin/apcalc.htm

 

 

images from  philosophy.ucsd.edu/Leibniz/ and www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Newton.html

 


Park Hill South High School
mullinsp@parkhill.k12.mo.us
This site maintained by Peggy Mullins
This page was updated 10/07/01