Fundamentals Of Calculus: A Complete Introduction

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 it’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 ‘check of understanding’ 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.