Calculus 3 Lesson 70: Jacobians - Change of Variables

Apr 28, 2026

Hi there! Today I have released Lesson 70 of my Calculus 3 series. In this lesson we finish the 4th unit of the course on Multiple Integration by learning about Jacobians and making a change of variables!

In particular you will learn:

  1. The formula for the 2D & 3D Jacobian
  2. How to make a change of variables for a double integral
  3. How to choose your own substitutions/transformations

This lesson marks the end of the unit on multiple integration, which means that with the next lesson I'll be starting the 5th and final unit of Calc 3 on Vector Analysis.

So look forward to next time, where you'll be introduced to vector fields!

Until then,

- Josh

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