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Outline
AP Calculus AB Applet Collection
Introduction to Calculus
Review: Lines
Rate of Change of a Function
Limits and Continuity
Derivatives
Applications of Derivatives
Integrals
The Fundamental Theorem of Calculus
Area and Volume
Differential Equations
AP Calculus AB Applet Collection
Author:
Ken Schwartz
A collection of interactive apps to illustrate important concepts taught in AP Calculus AB.
Table of Contents
Introduction to Calculus
Calculus - The Big Picture
Basic Calculus Connections
Calculus - Connecting How Fast with How Much
Review: Lines
Line Equations
Slopes of Perpendicular Lines
Rate of Change of a Function
Rate of Change of a Function
The Tangent Line Problem
Local Linearity
Limits and Continuity
Why We Use Limits
Understanding "x Approaches c" Notation
Continuity
Limits & Continuity
The Intermediate Value Theorem
Continuity and Differentiability with Parameters
Vertical Asymptotes as Infinite Limits
Rational Function End Behavior
Dominance and Limits to Infinity
Derivatives
An Intuitive Approach to the Derivative
Derivative Intuition 2
Tangent and Normal Line Equations
Applications of Derivatives
Related Rates - Circular Ripple
Rate of Change - Bubblegum
Related Rates - The Sliding Ladder
Particle Motion
Connecting f, f', and f''
Connecting Position, Velocity, and Acceleration
Integrals
Rectangular Sums
Connecting Derivatives and Integrals
The Fundamental Theorem of Calculus
Fundamental Theorem of Calculus
The Accumulation Function and the FTC
Average Value of a Function
Area and Volume
Area of Planar Regions
Volumes of Solids by Cross-Section
Volumes of Solids - Disk & Washer Method
Differential Equations
Initial Value Problems
Slope Fields
Separable Differential Equations
Lanjut
Calculus - The Big Picture
New Resources
bewijs stelling van Pythagoras
Conditions for Parallel Lines
Weighing Scales (kg & g): Practice
Erdős's problem #503, n=3
Weighing Scales (g): Practice
Membuka sumber
Exploring Angle Bisectors
Activity B
midpoint sum
Kvadratskabelon
