Day 186: The Residue Theorem

Learning Objectives

• •State and prove the Residue Theorem
• •Apply the residue theorem to compute contour integrals
• •Understand the relationship to Cauchy's integral theorem
• •Apply the Argument Principle to count zeros and poles
• •Use Rouche's theorem to locate zeros
• •Connect to counting bound states in quantum mechanics

Today's Schedule (7 hours)