Fundamentals Of Calculus: A Complete Introduction
Master the fundamentals of calculus with this comprehensive course. Learn limits, derivatives, integrals, and more. Perfect for students in science, math, business, economics, and engineering fields. Enhance your problem-solving skills and achieve optimal solutions. Practice with provided solutions and excel in your mathematical studies.
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
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.
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.
