Recommended Resources

This page is a collection of recommeded resources for teachers and students who are interested in learning more about Calculus, Pre-Calculus, AP Statistics, and more.  This is not a page of advertisers, but instead is a collection of resources we have found to be helpful. 

Please let us know of any resources that you have found to be helpful in teaching and learning these topics. Click here.

Brightstorm (www.brightstorm.com) has high quality videos from very good teachers, explaining most of the topics in Pre-Calculus and Calculus. The videos are FREE with registration for one month on the site. With each topic, the teacher explains the concept, and usually walks through a few sample problems. Here are a few topics that we found to be of particular interest to supplement our MasterMathMentor materials:

Calculus: Limits and Continuity

• Limits: A Numerical Approach
• One-Sided Limits
• Limits: A Graphical Approach
• Infinite Limits; Vertical Asymptotes
• Continuity
• Continuous Functions
• Evaluating Limits Algebraically, Part 1
• Evaluating Limits Algebraically, Part 2
• Limits and End Behavior

Calculus: The Derivative

• Average Velocity
• Average Rate of Change
• Instantaneous Velocity
• Instantaneous Rate of Change
• The Definition of the Derivative
• The Derivative Function
• Derivative Notation
• Derivatives of Linear Functions
• Derivatives of Power Functions
• Derivatives of Polynomial Functions
• An Important Limit
• Derivatives of Exponential Functions
• Derivatives of Logarithmic Functions

 Calculus: Techniques of Differentiation

• The Product Rule
• The Quotient Rule
• The Chain Rule
• Chain Rule: The General Power Rule
• Chain Rule: The General Exponential Rule
• Chain Rule: The General Logarithm Rule

Calculus: Applications of the Derivative

• Intervals of Increase and Decrease
• Critical Points
• Relative Maxima and Minima
• The First Derivative Test for Relative Maximum and Minimum
• Concavity and Inflection Points
• The Second Derivative Test for Relative Maximum and Minimum
• Curve Sketching with Derivatives
• Optimization Using the Closed Interval Method
• Optimization Using the First Derivative Test
• Optimization Using the Second Derivative Test
• Economics: Cost & Revenue

Calculus: Antiderivatives and Differential Equations

• Antiderivatives and Differential Equations Topics

Calculus: The Definite Integral

• The Definite Integral Topics

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