Calculus
Infinite Series

Infinite Series in Calculus.

Author: eharetea
Date Modified: 11/03/08

Scheme mathematics

Using scheme to compute derivatives and integrals.

Author: eharetea
Date Modified: 10/31/08

Graphing Guidelines

Graphing guidelines using first derivative test and concavity test (aka second derivative test).

Author: eharetea
Date Modified: 08/03/08

Work

Basic work problems using integration techniques.

Author: eharetea
Date Modified: 08/03/08

Area and Volume

Volume and area using integration techniques.

Author: eharetea
Date Modified: 08/03/08

Optimization

Applications of the derivative to optimize functions.

Author: eharetea
Date Modified: 08/03/08

The Mean Value Theorem

Rolle's theorem and the Mean value theorem (MVT).

Author: eharetea
Date Modified: 08/03/08

Related Rates

Related rate problems.

Author: eharetea
Date Modified: 08/03/08

Vertical Tangent Lines

Finding vertical tangent lines of a function.

Author: eharetea
Date Modified: 08/03/08

Derivative Problems

Some word problems involving rates and derivatives.

Author: eharetea
Date Modified: 08/03/08

Finding Tangent Lines

Solving for equations of tangent lines involving specific points on a graph.

Author: eharetea
Date Modified: 08/03/08

The Chain Rule

Solving derivatives using the chain rule.

Author: eharetea
Date Modified: 08/03/08

Errors with Differentials

Determining maximum error, average and percentage error using differentials.

Author: eharetea
Date Modified: 08/03/08

Increments and Differentials

Solving problems with the derivative and increments of x, involving linear approximation.

Author: eharetea
Date Modified: 08/03/08

Techniques of Differentiation

Proofs for the product rule and quotient rule when finding the derivative.

Author: eharetea
Date Modified: 08/03/08

Trigonometric derivatives

Proof of trigonometric derivatives using the Limit Definition of the Derivative.

Author: eharetea
Date Modified: 08/03/08

Solving with the derivative

Some different problems using the derivative.

Author: eharetea
Date Modified: 08/03/08

Using derivative for velocity

Use the derivative to find the instantaneous velocity of a function.

Author: eharetea
Date Modified: 08/02/08

Derivative

The Derivative, tangent lines, and rates of change.

Author: eharetea
Date Modified: 08/02/08

Continuous Functions

Continuous functions!

Author: eharetea
Date Modified: 08/02/08

Limits Discovering Asymptotes

Limits that lead to the discovery of a vertical asymptote.

Author: eharetea
Date Modified: 08/02/08

Sandwich Theorem

Solving limits using the Sandwich Theorem, or Squeeze Theorem.

Author: eharetea
Date Modified: 08/02/08

Intermediate Value Theorem

Explore continuous functions with the intermediate value theorem.

Author: eharetea
Date Modified: 08/02/08

Limits Involving Infinity

Solving limits with unbounded values of infinity.

Author: eharetea
Date Modified: 08/02/08

Implicit Differentiation

Techniques for finding the derivative using implicit differentiation.

Author: eharetea
Date Modified: 08/02/08

Proof of Limit

How to make a proof for a Limit of a function using delta and epsilon.

Author: eharetea
Date Modified: 08/02/08

Definition of a Limit

The precise definition of the Limit of a function.

Author: eharetea
Date Modified: 08/02/08

Greatest Integer Function

The greatest integer function.

Author: eharetea
Date Modified: 08/02/08