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Course Details

Free Source Code - Codeintra
Course Image Calculus: Complete Course - Free Course Pro
Author Logo Woody Lewenstein

Calculus: Complete Course

Course Info



Total Lectures


Total Duration

20.5 hours




A good basic foundation in algebra.Knowledge of trigonometry useful but not essentialKnowledge of exponentials and logarithms useful but not essential
Free Source Code - Codeintra

Course Description

This is course designed to take you from beginner to expert in calculus. It is designed to be fun, hands on and full of examplesand explanations. It is suitable for anyone who wants to learn calculus in a rigorousyet intuitiveand enjoyableway.

The concepts covered in the course lie at the heart of other disciples, like machine learning, data science, engineering, physics, financial analysis and more.

Videos packed with worked examples and explanations so you never get lost, and many of the topics covered are implemented in Geogebra, a free graphing software package.

Key concepts taught in the course are:

  • Differentiation Key Skills: learn what it is, and how to use it to find gradients, maximum and minimum points, and solve optimisation problems.

  • Integration Key Skills: learn what it is, and how to use it to find areas under and between curves.

  • Methods in Differentiation: The Chain Rule, Product Rule, Quotient Rule and more.

  • Methods in Integration: Integration by substitution, by parts, and many more advanced techniques.

  • Applications of Differentiation: L'Hopital's rule, Newton's method, Maclaurin and Taylor series.

  • Applications in Integration: Volumes of revolution, surface areas and arc lengths.

  • Alternative Coordinate Systems: parametric equations and polar curves.

  • 1st Order Differential Equations: learn a range of techniques, including separation of variables and integrating factors.

  • 2nd Order Differential Equations: learn how to solve homogeneous and non-homogeneous differential equations as well as coupled and reducible differential equations.

  • Much, much more!

The course requires a solid understanding of algebra. In order to progress past the first few chapters, an understanding of trigonometry, exponentials and logarithms is useful, though I give a brief introduction to each.

Please note: This course is notlinked to the US syllabus Calc 1, Calc 2 & Calc 3 courses, and not designed to prepare you specifically for these. The course will be helpful for students working towards these, but that's not the aim of this course.

What you'll learn

DifferentiationIntegrationDifferential EquationsOptimizationChain Rule, Product Rule, Quotient RuleLimitsMaclaurin and Taylor Series

Who this course is for

Data scientistsPeople studying calculusEngineersFinancial analystsAnyone looking to expand their knowledge of mathematics

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