Calculus

The resources* included below revisit some Maths topics needed in your STEM modules. Watch the videos and work through the exercises to boost your knowledge and understanding. If you need to 'dig deeper', please check the Foundations section on the previous page or if you are looking for something more specific, use "Ctrl+F" for a faster search.

Enjoy your learning!

Differentiation

Introduction to Differentiations

• Video: Formal definition of the derivative as a limit
• Introducing differentiation
• Differentiation from first principles

Differentiating polynomials

• Video: Power rule
• Differentiation: The Rule of Polynomials (exercises with answers)

Finding Stationary Points (Maxima and Minima)

• Video: How to identify the Max and Min

Integration

An Introduction

• Video: Introduction to integral calculus
• Integration Calculus: Examples and Practice Problems

Polynomial Integration

• Video: Reverse power rule
• Reverse Power Rule_ Exercises with solutions

Areas Under Curves

• Video: Area between  a curve and the x-axis (positive area)
• Video: Area between a curve and the x-axis (negative area)
• Area Between Curves Exercise