Free calculus course: differentiation, functions and integration

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Paid

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Level

Intermediate

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Free

Last updated on April 21, 2026 1:39 am

Learn about solving functions and the differences between integration and differentiation in this free online maths course. Basic calculus explained.

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This free online mathematics course will teach you how to calculate the differentiation of a function, how to plot your functions on graphs, the applications of differentiation, integration and more. In calculus, functions and differentiation go hand in hand, so comprehension of one can really boost your understanding of the other. Take your math skills to the next level, today.

What You Will Learn In This Free Course

  • Identify how to plot quadratic, cubi…
  • Identify how to translate or stretch…
  • Identify an inverse function and a b…
  • Recognize how to calculate the gradi…
  • Identify how to plot quadratic, cubic, reciprocal and exponential graphs from a table of values
  • Identify how to translate or stretch a function along either the X or Y axis
  • Identify an inverse function and a bijective function
  • Recognize how to calculate the gradient of a curve
  • Calculate the differentiation of several different types of formulas and equations
  • Identify the chain rule, the product rule and the quotient rule
  • Calculate the turning points of a curve
  • Use differentiation to calculate the displacement, velocity and acceleration, of an object
  • Discuss the relationships between different equations/functions and their differentials
  • Discuss ‘basic integration’ and calculate it
  • Define and calculate ‘definite integration’
  • Calculate the area under a curve with integration
  • Functions

    In this module you will learn how to work with functions to plot graphs, including quadratic and cubic graphs with exponential graphs.; Module

    Differentiation – Part 1

    In this module, you will learn to review differentiation in detail including the Product Rule, Chain Rule and Quotient Rule.; Module

    Differentiation – Part 2

    This module will further teach you about differentiation, including Differentiation of Logarithms, Turning Points, Rates of Change, and differentiating inverse functions.; Module

    Integration

    In this module, you will learn about integration covering areas such as exponentials and trigonometric functions.; Module

    Course assessment

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      Free calculus course: differentiation, functions and integration
      Free calculus course: differentiation, functions and integration
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