Calculus 1 - A Complete Course in Differential Calculus

Master the theory, practice and applications of derivatives!

What you'll learn
Differential Calculus
Key Differentiation Techniques
Advanced Differentiation Techniques
Applications of Derivatives
Requirements
Math up to Pre-Calculus, particularly some experience with algebra and knowledge of functions
Experience with Trigonometry would be an advantage
Description
So you’ve made it through Pre-Calculus and are ready for the good stuff! Calculus is the Mathematics of change and used to model and understand many phenomena in the real world – from science and engineering to finance, economics and medicine – it’s difficult to find a field which doesn’t employ Calculus in some way. Although Calculus 1 is largely focused on differentiation techniques and their applications, it's important to set some foundations first. So, we start by looking at the key concepts of limits and continuity, and build upon these to define the derivative. The core of the course then focuses on primary and advanced differentiation techniques, before moving on to answer a range of questions which apply derivatives in some way.

This Course is For You

I created this course to help you master differential Calculus through clear instructional videos and relevant practice questions.

There are many reasons why you might want to take this course:

To learn Calculus 1 from scratch

For additional support if you're taking Calculus 1 in school or college

To help you prep for a Calculus 1 assessment

To review key Differentiation techniques

To access more than 200 relevant practice questions with full solutions

As prep for taking a Calculus 2 course

11 hours of instructional video

Whatever your reason this course will help you build key differentiation skills quickly.

What You'll Take Away From This Course

Calculus 1 is a challenging course with a lot of content. But by mastering core techniques you'll be able to answer a wide variety of questions both in class and in the real-world. Each instructional video teaches one technique and mixes a small of amount of theory with example problems. You will then practice what you've learnt in the end of section review exercise. I've also included step-by-step solutions so you can check your work as you go. Take this course and you will learn:

The foundations of differentiation - limits and continuity

The first principles of differentiation

Core differentiation techniques - the Power, Product and Quotient rules

The Chain Rule which allows you to differentiate a wide range of functions

Advanced differentiation techniques and L'Hopital's rule

Applications of derivatives such as local extrema and optimisation

Who this course is for:
Students who need to learn Calculus 1
Students who need to learn Differentiation
Students reviewing key Differentiation techniques for a test or assignment
Students looking for Calculus 1 practice questions with full step-by-step solutions
Students who want clear instruction on all aspects of Calculus 1