AP Calculus
Welcome AP Calculus Students!
In this page you will find all the information you need to be successful in AP Calculus. For each quarter you will find the homework assignments, worksheets, activities, projects, quizzes and tests dates, review guides and lots of information about the AP Calculus AB exam. Our goal is to learn as much as we can to get a 5 on the AP Calculus test that will be administered in May.
We will be using two platforms:
AP Calculus Google Classroom code: fz3lta7
MyAP Classroom (https://myap.collegeboard.org)
SUMMER ASSIGNMENT
Chapter 1 Prerequisites for Calculus
Due Monday, August 14, 2023
Turn in the Summer Assignment Room 507
Instructions
Watch the video recordings to answer the lesson worksheets. (The worksheet might be a little different from the video). After watching the videos and answering the lesson worksheets you can proceed with the homework worksheets. You will be turning in the lessons and the homework worksheets the first day of school on Monday, August 14 in room 507.
Video Recordings
Students that did not take Honors PreCalculus last year are responsible of knowing the following topics:
1. Sum and Difference Identities
3. Inverse Trigonometric Functions
4. Sequences
5. Series
INTRODUCTION TO CALCULUS
TEXTBOOK
The textbook is an excellent resource that you can pick up at the bookstore.
Calculus: Graphical, Numerical, Algebraic by Finney, Demana, Waits, Kennedy, and Bressoud.
AP CALCULUS OVERVIEW
In this AP Calculus course, students explore the meaning of the derivative in terms of rate of change and local linear approximations. They work with functions represented graphically, numerically and analytically, or verbally, and understand the connections among these representations. The students explore the meaning of the definite integral and model problem situations with functions, differential equations, or integrals.
This course prepares students for successful studies of scientifically and technologically oriented careers at the best universities in Mexico, the United States, and around the world. The course is at the level of a first year university course and the student will receive university credit if a score of 3 or higher is obtained on the AP exam given in May. The standards of learning emphasized in this course are: patterns, functions and algebra, geometry and spatial sense, measurement, problem solving, reasoning and proof, communication, and connections. Course content includes review of functions, limits, continuity, difference quotient, derivative, differentiability, applications of derivatives, comprehensive functions graphing using derivatives, definite integral, Fundamental Theorem of Calculus, indefinite integrals, calculating areas and volumes by using integrals, calculus of inverse functions, and techniques of integration.
The academic objectives of this course are:
* Students should understand the meaning of the derivative in terms of rate of change and local linear approximations
* Students should be able to work with functions represented graphically, numerically, analytically, or verbally, and should understand the connections among these representations.
* Students should understand the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of a rate of change, and understand the relationship between the derivative and integral.
* Students should be able to model problem situations with functions, differential equations, or integrals, and communicate mathematics both orally and in written form.
* Students should be able to represent differential equations with slope fields, solve separable differential equations analytically, and solve differential equations using numerical techniques such as Euler's method.
AP IMPORTANT DOCUMENTS
AP Calculus Topics
AP USEFUL LINKS
COLLEGE BOARD WEBSITES
AP Student College Board Calendar Information
AP Calculus AB Student Information
Calculus Resources:
Calculus Interactive Mathematics
Patrick JMT Calculus Tutorial Videos
Calculus Videos by Dana Mosley (watch from chapters 1-7 section 3)
AP Calculus College Board Videos 2020
FUN WITH CALCULUS