Integration Key Techniques
- Math up to pre-calculus, particularly some experience with algebra and knowledge of functions
- Differentiation is not strictly mandatory but is it strongly recommended to have knowledge of differentiation before learning integration (check out our FREE short course on differentiation first if necessary!)
This FREE short course supports your first steps into Integral Calculus through core integration techniques. 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 I don’t have space here to teach you everything about Calculus (it’s a huge field!), I hope that by mastering these fundamental skills I’ll make it a little easier for you and perhaps inspire you to go further into this fascinating and important area of Mathematics. It's usually the case that students will learn differentiation before integration, so if you're not already familiar with at least some differentiation, you may want to check out my FREE short course on that topic first. Otherwise, just be aware that differentiation will be referred to often in this course as many of the integration rules are based on the reverse process of differentiation.
This Course is For You
I created this FREE course to help you start learning integration through clear instructional videos and relevant practice questions.
There are many reasons why you might want to take this course:
As an introduction to Integration
As prep for taking a Calculus 2 course
To review key Integration techniques
To access relevant practice questions
To have quick access to Integration notes
Whatever your reason this course will help you build key integration skills quickly and get you ready for the next step on your Calculus journey.
What You'll Take Away From This Course
Integration is a huge topic with many applications but it can be broken down into a small number of core techniques which, once mastered, can be applied to answer many question types and address many real-world problems. Each instructional video teaches one core 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:
Key integration techniques - the Power Rule and Integration by Parts
The Chain Rule which allows you to integrate a wide range of functions
A classic Calculus problem - finding the area under a curve
An overview of how Integration is applied to solve other problem types
Complete this course and you'll be making a great start on your Calculus journey!
Who this course is for:
- Students who need to learn the key integration techniques
- Students who need to learn to integrate quickly
- Students reviewing key integration techniques for a test or assignment
- Students looking for relevant practice questions with full step-by-step solutions
Let's get straight to it, Math is challenging! But it is also a skill which can quickly improve with the right instruction and a little practice. My focus is on teaching practical skills rather than going too deep into theory, but I will do that where necessary. I try to inspire my students as well as helping them prepare for their next test. Many of my students have greatly exceeded their expectations and I've been privileged to witness them use Math to a higher level and more skilfully than they ever imagined possible. I bring a deep theoretical understanding of the courses I teach but try to deliver them in a light-hearted and accessible manner, with a strong focus on boosting student confidence. I have a first class BSc Hons in Pure Mathematics and an MSc, and have been educated in both the UK and US. Offline I run a successful private tuition company in the UK through which I've been fortunate to work with many hundreds of students at different levels and gain valuable insight into key sticking points in a range of Math courses. This experience is the basis for how I teach my online courses and how I write my practice questions and solutions. I look forward to serving my students here on Udemy.