Section 18.1: What is Calculus?

18.1 Outline

  1. What is Calculus?
    1. Calculus is the mathematics of motion and change.
    2. The three main ideas of calculus are limit, derivative, and integral
  2. The Limit: Zeno’s Paradox
    1. Achilles and the tortoise
    2. limit of a sequence
  3. The derivative: the tangent
See the whole entry

Section 7.5: Right-Triangle Trigonometry

7.5 Outline

  1. Pythagorean theorem
  2. Trigonometric ratios
    1. sine
    2. cosine
    3. tangent
  3. Inverse trigonometric ratios
    1. calculator calculating
    2. inverse trigonometric ratios
      1. inverse tangent
      2. inverse cosine
      3. inverse sine
  4. Applications
    1. angle of elevation
    2. angle of depression

 

7.5 Essential Ideas

7.5.1See the whole entry