MT3211 – Applied Complex Analysis & Integral Transformations Applied Complex Analysis and Integral Transformations §1 Regular Functions of a Complex Variable Examples 1 §2 Contour Integrals and Cauchys Theorem Examples 2 §3 Cauchys Residue Theorem Examples 3 §4 Real Definite Integrals by Contour Integration Insert – Integral sin x Over x Examples 4 Examples 5 Examples 6 §5 Analytic Continuation Examples 7 §6 The Gamma Function Examples 8 §7 The Riemann Zeta Function Handout – Integral Transforms §8 Integral Transformations Handout – Jordans Lemma Applied To Inverse Laplace Transforms Examples 9 §9 PDEs Using Transforms Examples 10 §10 Revision Insert – Definitions Formulas Related