******************applied mathematics note ioe************** ****************** applied mathematics note ioe ******** APPLIED MATHEMATICS GET YOUR NOTE HERE : Click me SH 551 Lecture : 3 Year : II Tutorial : 1 Part : II Practical : 0 Course Objective This course focuses on several branches of applied mathematics. The students are exposed to complex variable theory and a study of the Fourier and Z‐Transforms, topics of current importance in signal processing. The course concludes with studies of the wave and heat equations in Cartesian and polar coordinates. 1. Complex Analysis (18 hours) 1.1 Complex Analytic Functions 1.1.1 Functions and sets in the complex plane 1.1.2 Limits and Derivatives of complex functions 1.1.3 Analytic functions. The Cauchy –Riemann equations 1.1.4 Harmonic functions and it’s conjugate 1.2 Conformal Mapping 1.2.1 Mapping 1.2.2 Some familiar functions as mappings 1.2.3 Conformal mappings and special linear fun