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Sometimes an airplane flight can feel like a bumpy rollercoaster ride.

Differential Equations help scientists and mathematicians understand air turbulence.

 

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Precalculus Lessons

Click on a lesson below to view the examples that will be shown:

Functions

  • Evaluating Functions, Finding the Domain and Difference Quotient
  • Graphing Functions (Domain, Range, Even, Odd and Piecewise-Defined Functions)
  • Sum, Difference, Product, Quotient and Composition of Functions
  • Inverse Functions

Polynomial and Rational Functions

  • Quadratic Functions
  • Graphs of Polynomial Functions
  • Long Division and Synthetic Division
  • Real Zeros of Polynomial Functions (Remainder and Factor Theorems, Rational Root Test, Upper/Lower Bounds)
  • Complex Numbers
  • Complex Zeros of Polynomial Functions
  • Graphs of Rational Functions

Exponential and Logarithmic Functions

  • Graphs of Exponential Functions
  • Graphs of Logarithmic Functions
  • Properties of Logarithms - Part 1
  • Properties of Logarithms - Part 2
  • The Natural Logarithmic Function
  • Solving Exponential and Logarithmic Equations
  • Compound Interest and Radioactive Decay

Systems of Equations and Inequalities

  • Partial Fraction Decomposition

Sequences, Series and Probability

  • Sequences
  • Arithmetic Series
  • Geometric Series
  • Mathematical Induction
  • The Binomial Theorem
  • The Fundamental Counting Principle, Permutations and Combinations
  • Probability

Analytic Geometry

  • Conic Sections - Circles
  • Conic Sections - Parabolas
  • Conic Sections - Ellipses
  • Conic Sections - Hyperbolas and Classifying Conics

To request a lesson, click here.

 

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