Functions and Transformations

Focused View

Kerry T

3:26:05

119 View

1. Introduction

1.1 Functions and Transformations Student Booklet.pdf

1. Introduction.mp4

01:16

2. Linear Functions

1. Introduction to functions.mp4

14:28

2. Linear Equations.mp4

08:15

3. Sketching linear functions Video 1.mp4

07:50

4. Sketching linear functions Video 2.mp4

04:26

5. Find the equation of a given line.mp4

10:23

6. Parallel and perpendicular lines.mp4

09:25

7. Simultaneous equations.mp4

11:29

8. Quadratics.mp4

12:19

9. The discriminant.mp4

05:42

10. Linear transformation.mp4

05:38

11. Transformation of quadratics.mp4

06:27

12. The Absolute function.mp4

09:47

13. Hybrid (piecewise) functions.mp4

08:57

14. Inverse Functions.mp4

15:30

15. Graphs of exponential and logarithmic functions.mp4

12:06

16. Composite functions.mp4

07:30

17. Graphs of sine and cosine trig functions.mp4

16:38

18. Phase shift.mp4

06:31

19. Changing amplitude and period of sine and cosine functions.mp4

10:50

20. Vertical shift and putting it all the transformations together Video 1.mp4

08:55

21. Vertical shift and putting it all the transformations together Video 2.mp4

11:43

Description

Learn functions such as linear, quadratic, absolute, hybrid, inverse, composite, trig and master their transformations.

What You'll Learn?

Learn about the fundamental concept of a function
Sketch linear functions including vertical and horizontal lines.
Learn to find the equation of a line from a graph and find the equation of a line from two coordinates.
Calculate the equations of parallel and perpendicular lines.
Solve linear equations simultaneously using substitution and elimination .
Identify and sketch quadratic functions.
Calculate and interpret the discriminant.
Perform transformations of linear, Quadratic and Trigonometric functions.
Understand the concept, graphs and transformations of absolute functions.
Sketch hybrid/piecewise functions and state their domain and range.
Inverse functions.
Graph exponential and logarithmic functions.
Composite functions.

Who is this for?

This course is for anyone who wants to master the basic concepts of Functions and Transformations, in order to build a strong base in mathematics.

More details

Description
The aim of this course is to provide you with an introduction to and a solid basis for further study in mathematics in the fields of science, mathematics, business, economics and engineering. An understanding of functions, transformations and their applications will give you the skills needed in modeling and lay a foundation for more advanced math and science course.
Learn from a mathematician and master educator in this streamlined course designed to teach you exactly what you need to know. Use the companion student booklet to practice what you have learned as well as checking your responses with the provided worked solutions.

This course will cover
Introduction to functions
Linear Equations
Sketching linear functions
Find the equation of a given line
Parallel and perpendicular lines
Simultaneous equations
Quadratics
The discriminant
Linear transformation
Transformation of quadratics
The Absolute function
Hybrid (piecewise) functions
Inverse Functions
Graphs of exponential and logarithmic functions
Composite functions
Graphs of sine and cosine trig functions
Phase shift
Changing amplitude and period of sine and cosine functions
Vertical shift and putting it all the transformations together

How to get the most out of this course
This course is broken up into small individual sections designed to help you learn exactly what you need to know, maximising your time. View the tutorial video and follow along. Pause and take notes as needed. After each of the tutorial videos you will find a â€˜check of understandingâ€™ which consists of 5 questions that relate to the material covered in the video/s. Complete the questions and check your Answers with the worked solutions so you can see how you are progressing.
Who this course is for:
This course is for anyone who wants to master the basic concepts of Functions and Transformations, in order to build a strong base in mathematics.

User Reviews

Rating

average 0

Total votes0

Focused display

It is probably safe to say that my love of Mathematics preceded my love of music by a year or two. I found both had many aspects in common, including patterns, power, and beauty. These two interests collided when studying for my degree in Pure Mathematics, when I funded my studies by playing gigs in a rock band. On attaining my degree, I commenced post graduate studies in Information Technology, while working as a systems designer and programmer. It was not long though before I returned to Mathematics and took up studies in Education. For 35years now I have shared my passion for the wonderful, exciting world of Mathematics as a High school teacher, University lecturer, international conference presenter, course designer, textbook writer; all these roles have enriched my experience to allow the very best presentation as an online course creator. Now a days, my music enjoyment may be limited to listening, but my active daily involvement in teaching Mathematics continues to give great satisfaction and enjoyment.

Udemy

View courses Udemy

Students take courses primarily to improve job-related skills.Some courses generate credit toward technical certification. Udemy has made a special effort to attract corporate trainers seeking to create coursework for employees of their company.