Advanced Functions: A Complete Course on Precalculus

Prepare yourself for Calculus and become a master at solving equations and inequalities

This course extends students’ experience with functions. Students will investigate the properties of polynomial and rational functions; broaden their understanding of rates of change; and develop facility in applying these concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended both for students who plan to study mathematics in university and for those wishing to consolidate their understanding of mathematics before proceeding to any one of a variety of university programs.

What you’ll learn

  • Identify and describe key characteristics of polynomial functions.
  • Divide one polynomial by another polynomial.
  • Factor polynomial expressions.
  • Solve problems that involve polynomial equations graphically and algebraically.
  • Solving linear and polynomial inequalities.
  • Rational Functions, Equations and Inequalities.
  • Rate of Change.

Course Content

  • 1 lecture • 1min –> Introduction.
  • 6 lectures • 1hr 3min –> Polynomial Functions.
  • 2 lectures • 19min –> Solving Polynomial Equations and Inequalities.
  • 5 lectures • 40min –> Rational Functions.
  • 4 lectures • 17min –> Rate of Change.

Advanced Functions: A Complete Course on Precalculus

Requirements

  • Basic knowledge of functions.
  • Basic understanding of algebra and arithmatic.

This course extends students’ experience with functions. Students will investigate the properties of polynomial and rational functions; broaden their understanding of rates of change; and develop facility in applying these concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended both for students who plan to study mathematics in university and for those wishing to consolidate their understanding of mathematics before proceeding to any one of a variety of university programs.