Handouts for Complex Variables Students

• The Existence of Harmonic Conjugates (pdf)
• Extending Real Functions to Analytic Functions (pdf)
• Tips for Parameterizing Countours (pdf)
• How Do We Establish Basic Facts About Integrals? (pdf)
• Interchanging the Order of Limiting Processes (pdf)
• Partial Fractions Expansion (pdf)
• Laurent Series of Rational Functions (pdf)
• Isolated Singularities: a summary (pdf)
• The integral from zero to infinity of 1/(1+x^a) (pdf)