Fundamentals Of Calculus: A Complete Introduction

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Kerry T

3:17:28

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1 - Introduction

1 - Fundamentals-of-Calculus-Student-Booklet.pdf

1 - Introduction.mp4

01:18

2 - Calculus Concepts Rates and Derivatives

2 - Limits.mp4

14:13

3 - Continuous functions.mp4

05:19

4 - What is a Rate.mp4

13:31

5 - Derivatives from first principles.mp4

12:12

6 - Table of Derivatives.mp4

12:08

7 - Examples of Derivatives.mp4

08:10

8 - Graph of a function vs its derivative.mp4

07:14

9 - Nature of turning points.mp4

09:47

10 - Equations of tangents to curves.mp4

08:58

11 - Greatest and least value of a function.mp4

06:42

3 - Further techniques of Differentiation and Integration

12 - The chain rule.mp4

10:38

13 - A short cut for chain rule.mp4

09:43

14 - Product rule.mp4

08:29

15 - The quotient rule.mp4

09:54

16 - Introduction to integration.mp4

20:44

17 - Integration constant.mp4

04:37

18 - An Integral as Area.mp4

08:46

19 - Integral Examples.mp4

09:16

20 - Table of Integrals.mp4

07:32

21 - Integral Example.mp4

08:17

Description

Completed Number, Algebra and Trigonometry? Then it's time to level up with Calculus.

What You'll Learn?

You will learn to evaluate limits, derivatives from first principals and integrals.
Master the learning material with your very own practice booklet with checks of understanding and worked solutions.
Calculate equations of tangents to curves.
Greatest and least value of a function.
Learn how to use the Chain rule, Product rule and Quotient rule.
Learn concepts and Techniques of integration.
Integral as area

Who is this for?

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. Calculus will help you in any field wherever a problem can be mathematically modelled, and an optimal solution is desired.

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. After you have a solid foundation in number, algebra and trigonometry itâ€™s time to move onto Calculus.
Calculus will help you in any field wherever a problem can be mathematically modelled, and an optimal solution is desired.
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.

You will learn:
Limits
Continuous Functions
What is a rate?
Derivatives from first principles
Derivatives Part 1 and 2
Graphs of a function vs its derivative and Turning points
Equations of tangents to Curves
Greatest and least value of a function
Chain rule and short cut for chain rule.
Product Rule
Quotient Rule
Introduction to Integration and the Integration Constant (2 video lessons)
Integral as Area
Table of Integrals and Examples
Integral example- determining a quantity

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. The expertly crafted learning videos are designed to maximize 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:
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. Calculus will help you in any field wherever a problem can be mathematically modelled, and an optimal solution is desired.

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Math

Calculus

Differential Equations

Kerry T

Instructor's Courses

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.

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