Calculus

Precalculus- Review

  • Solving Equations
  • Functions
  • Exponents, Logarithms and Their Properties
  • Trig and The Unit Circle

Limits

  • Definition of a Limit
  • Finding Limits Graphically
  • Finding Limits with Tables
  • Finding Limits Algebraically
    • Factoring
    • Conjugates
    • Trig Identities
  • Special Limits

Derivatives

  • Secant and Tangent Lines
  • The Equation of a Tangent and Normal Line
  • The Limit Definition of the Derivative
  • Graphing a Derivative from a Function
  • Basic Derivatives: The Power Rule and e^x
  • The Product Rule and The Quotient Rule
  • Derivatives of Trigonometric Functions
  • Implicit Differentiation
  • Derivatives of Inverse Functions inc. Inverse Trig
  • Logarithmic Differentiation

Applications of Derivatives

  • Related Rates
  • Critical Points, Extrema and Points of Inflection
  • First and Second Derivative Tests (Increasing/Decreasing/Concavity)
  • Curve Sketching
  • Optimization
  • Linear Approximation

Integrals

Leave a Reply

Your email address will not be published. Required fields are marked *