Description:

AP courses in calculus consist of a full high school academic year of work and are comparable to calculus courses in colleges and universities.  AP Calculus courses are primarily concerned with developing the students’ understanding of the concepts of calculus and providing experience with its methods and applications.  The courses emphasize a multi-representational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally.  The connections among these representations are also important. 

 

The AP exam consists of two sections.

Section 1: a multiple-choice section testing proficiency in a wide variety of topics 

Section 2: a free-response section requiring the student to demonstrate the ability to solve

                                                    problems involving a more extended chain of reasoning.   -The College Board

Goals: 

This class is meant to challenge you and prepare you for college level math experiences.  You will learn about limits, differentiation, integration, logarithmic and exponential functions, and volume of solids of revolution.  The more you put into the class, the more you will gain from it.  Mutual respect and hard work will bring us success and learning. 

Requirements:  

I expect my Calculus students to:

* think critically and to ask questions when you have them.  

* encourage your classmates and to make yourself available to help them learn.  As an older student, I also expect to see you helping younger students learn the math concepts that you have mastered. 

* complete homework assignments on time and seek help when needed. 

* have a graphing calculator with you in class as well as an organized 3-ring binder. 

You are responsible for learning the material that was missed if you are absent from class. 

Evaluation:

We will know you have learned the material if you are able to show your knowledge on the quizzes and final exam.  If you truly understand the material, you should not need to ask me questions during these assessments.  As on the SBACs and the SATs, I will not be giving hints or help during math assessments and semester exams.  If you are not yet proficient, you will continue to work on the skills with adult or peer support and may take another assessment to show your improved skills.

Resources:

When Assessments are proficient you will scan them and submit them to LiFT as evidence of your learning.

 

Course Topics:

I.              Functions, Graphs, and Limits

Analysis of graphs

Limits of functions (including one-sided limits)

Asymptotic and unbounded behavior

Continuity as a property of functions

II.             Derivatives

      Concept of the derivative

      Derivative at a point

      Derivative as a function

      Second derivatives

      Applications of derivatives

      Computation of derivatives

III.           Integrals

Interpretations and properties of definite integrals

Fundamental Theorem of Calculus

Techniques of antidifferentiation

Applications of antidifferentiation

Numerical approximations to definite integrals

Subpages (1): AP Calc. homework