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Teaching & Academics Math Pre-Calculus

Advanced Functions: A Complete Course on Precalculus

Prepare yourself for Calculus and become a master at solving equations and inequalities
Rating: 4.2 out of 54.2 (37 ratings)
15,332 students
Created by Kazi Ahmed
Last updated 9/2020
English
English [Auto]
30-Day Money-Back Guarantee

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

Requirements

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

Description

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.

Who this course is for:

  • Anyone who is interested in math
  • Anyone who wants to learn advanced functions
  • Anyone who wants to prepare for calculus
  • Any homeschooling parent who wants their child to brush up for higher level calculus course

Course content

5 sections • 18 lectures • 2h 19m total length

  • Preview01:15

  • Preview03:57
  • Characteristics of Polynomial Functions
    20:41
  • Characteristics of Polynomial Functions in Factored Form
    10:41
  • Dividing Polynomials
    12:37
  • Factoring Polynomials
    08:54
  • Factoring a Sum or Difference of Cubes
    05:48
  • Quiz 1
    6 questions

  • Solving Linear Equation and Inequalities
    08:56
  • Solving Polynomial Equations and Inequalities which are not Linear
    10:18
  • Quiz 2
    5 questions

  • Exploring Reciprocal Functions
    05:24
  • Exploring Rational Functions
    12:14
  • Graphing Rational Functions
    08:42
  • Correction
    02:00
  • Solving Rational Functions
    11:20
  • Quiz 3
    5 questions

  • Preview01:47
  • Understanding different kinds of Rate of Change
    03:56
  • Preview04:18
  • Determining the Instantaneous Rate of Change
    06:34
  • Rate of Change
    5 questions

Instructor

Kazi Ahmed
Mathematics Teacher, Educator
Kazi Ahmed
  • 4.3 Instructor Rating
  • 163 Reviews
  • 33,177 Students
  • 3 Courses

"Math is hard!" Is it? Well, I believe that this does not hold true if you change that way you look at Math. And I am here to help you do so.

My name is Kazi Ahmed and teaching is my passion. I graduated from York University, Toronto, with a Bachelors of Science degree in Mathematics. Since then, I have taken up teaching as my profession and gained more than 5 years of teaching experience. I believe this is the most rewarding thing that I could have done, and now, I am here to teach and spread my helping hand across the whole world.

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