3.4 Green’s Theorem

Lesson Objectives

Understand and apply the circulation and flux forms of Green’s Theorem and introduce the concept of curl, divergence, and stream functions of source-free fields.

Lesson Content

  1. Green’s Theorem (Tisdell)
  2. Green’s Theorem (JMT)
  3. Green’s Theorem Part 1 & 2 (MathisPower)
  4. Flux Form of Green’s Theorem (MathisPower)

Lesson Readings

  1. Paul’s Online Math Notes
  2. The Idea Behind Green’s Theorem (MathInsight)
  3. When Green’s Theorem Applies (MathInsight)
  4. Green’s Theorem (LTCC)

Lesson Practice Exercises/Activities

  1. Worked Examples with Explanation (MathInsight)
  2. Explanation, Examples, and Problems with Solutions (Whitman)
  3. Problems with Solutions (Harvard)