Home Schedule 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 26 and portions of chapters 1, and 7 from
Larson’s 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 1600’s.
Objectives
10/4/02

Find
the extrema on a closed interval. 

Writing:
What are the extreme points of an interval? Where do they occur? 
10/7/02

Apply
Rolle's Theorem 

Apply
the Mean Value Theorem 

Writing:
What is the algebraic meaning of the Mean Value Theorem? What is the
geometric meaning? 
10/8/02

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

Apply
the First Derivative Test. 

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

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

Apply
the Second Derivative test. 

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

Find
the limit of a function as x goes to + or  infinity. 
10/11/02

Graph
functions using intercepts, asymptotes, and derivatives. 
10/14/02

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 
8,16,20,28,30,32,3638,41,46 
10/9 
204 
6,20,26,32,36,42,44,52,53 
10/10 
213 
18,10,18,20,22,26,28,32,51,53,54 
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
wwwhistory.mcs.standrews.ac.uk/history/Mathematicians/Newton.html
