Calculus

BHNmath, Mar 25, 2018

Table of Contents

  1. Prerequisites for Calculus
    1. Limit of Secant Slopes
    2. Parametric Equations
    3. Inverse Trigonometric Functions
  2. Limits
    1. Limit Explorer
  3. Derivatives
    1. Derivatives of Exponential Functions
    2. Derivatives of y=sinx and y=cosx
  4. Applications of the Derivative
    1. The Second Derivative
    2. Open-Topped Box
    3. Minimum Distance from a Point to a Curve
    4. Minimum Distance Between Two Cars
    5. Minimum Cost
  5. Curve Sketching
    1. Concavity and Point of Inflection
    2. Newton's Method
  6. The Definite Integral
    1. Rectangular Approximation
    2. Trapezoidal Approximation
  7. Applications of Definite Integrals
    1. Surface of Revolution Explorer

1.

Prerequisites for Calculus

  • 1. Limit of Secant Slopes
  • 2. Parametric Equations
  • 3. Inverse Trigonometric Functions

1.1.

Limit of Secant Slopes

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1.2.

–

1.3.

–

2.

Limits

  • 1. Limit Explorer

2.1.

Limit Explorer

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3.

Derivatives

  • 1. Derivatives of Exponential Functions
  • 2. Derivatives of y=sinx and y=cosx

3.1.

Derivatives of Exponential Functions

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3.2.

–

4.

Applications of the Derivative

  • 1. The Second Derivative
  • 2. Open-Topped Box
  • 3. Minimum Distance from a Point to a Curve
  • 4. Minimum Distance Between Two Cars
  • 5. Minimum Cost

4.1.

The Second Derivative

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4.2.

–

4.3.

–

4.4.

–

4.5.

–

5.

Curve Sketching

  • 1. Concavity and Point of Inflection
  • 2. Newton's Method

5.1.

Concavity and Point of Inflection

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5.2.

–

6.

The Definite Integral

  • 1. Rectangular Approximation
  • 2. Trapezoidal Approximation

6.1.

Rectangular Approximation

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6.2.

–

7.

Applications of Definite Integrals

  • 1. Surface of Revolution Explorer

7.1.

Surface of Revolution Explorer

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