Calculus

Mathematics · Advanced · 40 hours

An introduction to calculus — limits, derivatives and their applications, integration and its applications, and how calculus models the real world.

What you'll learn

• Understand the idea of a limit
• Differentiate functions and apply derivatives
• Integrate functions and find areas
• Apply calculus to real problems
• Appreciate calculus in science and engineering

Course modules

• Module 1: Introduction to Calculus
• Module 2: Limits
• Module 3: The Derivative
• Module 4: Differentiation Rules
• Module 5: Applications of Derivatives
• Module 6: Introduction to Integration
• Module 7: Definite Integrals
• Module 8: Integration Techniques
• Module 9: Applications of Integration
• Module 10: Calculus in the Real World
• Module 11: Core Concepts in Depth
• Module 12: Common Mistakes & How to Avoid Them
• Module 13: Tools, Resources & Templates
• Module 14: Standards, Quality & Best Practice
• Module 15: Health, Safety & Ethics
• Module 16: Case Study: A South African Example
• Module 17: Communication & Working with Others
• Module 18: Staying Current & Continuing to Learn
• Module 19: Capstone Project
• Module 20: Review, Assessment & Next Steps

Unlock this course for R19 on any phone. A certificate is optional (from R39).