2.4 Change of Variables in Multiple Integrals

Lesson Objectives

Evaluate integrals effectively by converting double and triple integrals between coordinate systems, understand and compute Jacobian Matrices of transformation equations, and learn effective strategies for choosing new variables.

Lesson Content

  1. Change of Variables (Misener)
  2. Change of Variables in Multiple Integrals (JMT)
  3. Jacobian of the Transformation (integralCALC)
  4. Change of Variables (2×2) (MIT)
  5. Change of Variables and Triple Integrals

Lesson Readings

  1. Paul’s Online Notes

  2. Double & Triple Integral Transformations (Oregon State)

  3. Explanation, Examples, and Problems

Lesson Practice Exercises/Activities

  1. Examples with Double Integrals(MathInsight)

  2. Worked Examples and Problems with Solutions

  3. Explanation with Problems (etsu)