Mathematics

For those of you interested in learning Mathematics, this is the place for you. I have crafted these works to introduce you to the subject literally from the ground up. From the very foundation of the subjects, to its upper echelons. (At least those that I am capable of.)

Table of Contents

• Introduction
  • Linear Functions [I]
  • The Exponential Function
    • Exponential Functions With Base Greater Than 1 (b > 1)
    • Exponential Functions With Base Between 0 and 1
    • Exponential Growth
    • Exponential Decay
• Geometry
  • The Ellipse
  • Perimeter of the Ellipse
• Inverse Trigonometric Functions
  • Inverse Trigonometric Functions
    • How to simply the expression sin(arctan(x)) and provide an exact solution.

Calculus

• Introduction
  • Introduction To Calculus
  • An Overview of Precalculus
  • Inverse Functions and Logarithms
    • Logarithmic Functions
    • The Natural Logarithm
• Limits & Derivatives
  • Limits and Derivatives
  • The Tangent Problem
  • The Velocity Problem