Pre-Calculus Mathematics - Fundamentals of Functions

Name: Pre-Calculus Mathematics - Fundamentals of Functions
Rating: 4.0 (18 reviews)

How to represent all fundamental math functions graphically

Created byDániel Csíkos

Last updated 10/2018

English

What you'll learn

How to draw any of the functions
What the main properties of functions are
How the graphs and operations are connected
How to solve graphical problems with functions easily
Linear functions
Absolute value functions
Quadratic functions
Square root functions
Rational functions
Exponential functions
Logarithmic functions
Trigonometric functions

Course content

11 sections • 32 lectures • 1h 16m total length

Introduction1:33
Introduction to the content of the course

Linear function2:52
What a linear function is, what the parameters of the linear function mean
1. Example - x-intercept2:39
How to find the x-intercept of a linear function
2. Example – Graphical representation3:03
Practice example about the main properties of a linear function
3. Example – Graphical representation3:43
How to determine the equation of a linear function if you know its diagram
4. Example – Graphical representation3:13
How to plot a linear function if you know its equation
Checkpoint - Linear function

Absolute value function1:23
What an absolute value function is, how to the absolute value x function looks like
Transformation of functions2:53
How to apply basic transformations to functions, translation along x and y
1. Example – Transformations2:23
How to determine the parameters of the transformation if the diagram of the transformed function is known
2. Example – Transformations3:36
How to plot an absolute value function with basic function transformations
Checkpoint - Absolute value function

Trigonometric functions4:08
What the trigonometric functions (sine, cosine, tangent, cotangent) are, what are the main properties of the trigonometric functions
Important function values1:30
What the most important function values of trigonometric functions (sine, cosine, tangent) are
1. Example – Solving a basic trigonometric equation2:51
How to solve a basic trigonometric equation considering the basic properties of the trigonometric functions
2. Example – Domain1:33
Practice example about the main properties of the trigonometric functions
3. Example – Range1:53
How the transformations of the trigonometric functions affect the range of the sine or cosine function
4. Example – Periodicity2:44
How the transformations of the trigonometric functions affect the periodicity of the sine or cosine function
Checkpoint - Trigonometric functions

Requirements

Very basic elementary school level mathematical knowledge
A desire to get better in mathematics

Description

Welcome!

This course offers a quick overview of the fundamentals of mathematical functions. By taking and finishing this course you are going to understand what the basic functions mean and how you can represent them graphically. Therefore you are going to know how you can draw complex functions which are connected to the basic ones.

I dedicate a separate section to every important function. First I introduce the main properties, and then I show you numerical examples. These sample problems are going to help you to get the essence of each function. There are several checkpoints where you can check your knowledge through solving quizes.

I believe in learning through examples so the course is highly practical. If you want to practice, you can stop the videos and make an effort of solving the numerical examples by yourself!

You don't need much of a prior knowledge to take this course. If you know how to add, subtract, multiply and divide numbers, you are basically good to go! I'm going to clear the necessary details during the lectures.

This course is primarily designed for secondary school students who are learning about these function in school but who are struggling with the understanding of the functions. However if you passed secondary school but you feel like you need to practice the basics, you are also welcome in this course!

I hope I can help you with this course just like I've already helped 700 students! I can't wait to see you inside! Have fun and learn a lot!

Who this course is for:

Secondary school students (appr. between age 14-19)
Anyone who wants to revise basics before learning higher level mathemarics (Calculus, etc.)

Pre-Calculus Mathematics - Fundamentals of Functions

What you'll learn

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Course content

Introduction1 lecture • 2min

Linear function5 lectures • 16min

Absolute value function4 lectures • 10min

Quadratic function3 lectures • 10min

Square root function3 lectures • 6min

Rational function2 lectures • 3min

Exponential function3 lectures • 8min

Logarithmic function2 lectures • 7min

Trigonometric functions6 lectures • 15min

Useful formulas1 lecture • 1min

Requirements

Description

Who this course is for: