• Post category:StudyBullet-12
  • Reading time:5 mins read


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

What you will 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

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 itโ€™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


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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 โ€˜check of understandingโ€™ 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.

English
language

Content

Introduction

Introduction

Calculus Concepts, Rates and Derivatives

Limits
Continuous functions
What is a Rate?
Derivatives from first principles
Table of Derivatives
Examples of Derivatives
Graph of a function vs its derivative
Nature of turning points
Equations of tangents to curves
Greatest and least value of a function

Further techniques of Differentiation and Integration

The chain rule
A short cut for chain rule
Product rule
The quotient rule
Introduction to integration
Integration constant
An Integral as Area
Integral Examples
Table of Integrals
Integral Example