Outline
AP Calculus
Contains applets that can be used to foster discovery learning, meaningful remediation, differentiation, and assessment within an AP Calculus-AB or Ap Calculus-BC class (Calculus 1 & Calculus 2 at most colleges and universities.)
Table of Contents
Preliminary Review Topics
Limits & Continuity
Derivatives of Special Functions
Derivatives & Differentation Techniques
- Average Velocity
- Average to Instantaneous (Intro)
- Constructing Graphs of Derivative Functions (Intuitively)
- Derivatives (Intro)-1
- Derivatives (Intro)-2
- 3-Way Color-Changing Derivative Grapher
- Sketch the Derivative (Warm Up)
- Graphing The Derivative of a Function
- Derivative of a Product
- Derivative of Sine & Cosine Functions (Quick Investigation)
- Derivative of Tangent Function (Investigation)
- Implicit Differentiation: Intro
- Folium of Descartes
- Implicit Differentiation (Quick Check)
- Derivative of Arcsine Function
- Derivative of Arccosine Function
- Derivative of Arctangent Function
- Derivatives of Inverse Functions
- Derivative of Natural Log Function
Related Rates
Linearization of Functions
Closed Interval Method
Optimization Problems
Riemann Sums; Indefinite and Definite Integrals
Areas and Volumes
- Definite Integrals: Sum
- What Makes a Function Even?
- What Makes a Function Odd?
- Odd Functions: Another Look (Take 2)!
- U-Substitution (Definite Integrals)
- Areas Between Curves (Intro)
- Area Between Curves
- Area Between 2 Curves
- Disc Action!!!
- Washer Action!!! (1)
- Washer Action !!! (2) - Calculus
- Cylindrical Shell Action!!! (1)
- Cylindrical Shell Action!!! (2)
- V. of Solid NOT of Revolution
- Areas & Volumes: Culminating Activity
Average Value and Arc Length
Integration Techniques