Fundamentals Of Calculus: A Complete Introduction

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

Requirements

Knowledge of Algebra and Trigonometry is needed to master Calculus.

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 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:LimitsContinuous FunctionsWhat is a rate?Derivatives from first principlesDerivatives Part 1 and 2Graphs of a function vs its derivative and Turning pointsEquations of tangents to CurvesGreatest and least value of a functionChain rule and short cut for chain rule.Product RuleQuotient RuleIntroduction to Integration and the Integration Constant (2 video lessons)Integral as AreaTable of Integrals and ExamplesIntegral example- determining a quantityHow to get the most out of this courseThis 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.

Overview

Section 1: Introduction

Lecture 1 Introduction

Section 2: Calculus Concepts, Rates and Derivatives

Lecture 2 Limits

Lecture 3 Continuous functions

Lecture 4 What is a Rate?

Lecture 5 Derivatives from first principles

Lecture 6 Table of Derivatives

Lecture 7 Examples of Derivatives

Lecture 8 Graph of a function vs its derivative

Lecture 9 Nature of turning points

Lecture 10 Equations of tangents to curves

Lecture 11 Greatest and least value of a function

Section 3: Further techniques of Differentiation and Integration

Lecture 12 The chain rule

Lecture 13 A short cut for chain rule

Lecture 14 Product rule

Lecture 15 The quotient rule

Lecture 16 Introduction to integration

Lecture 17 Integration constant

Lecture 18 An Integral as Area

Lecture 19 Integral Examples

Lecture 20 Table of Integrals

Lecture 21 Integral Example

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.