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• Introduction complex number system, different types of complex functions
• Polar Form of Complex Number Powers and Roots ,De Moivre’s theorem and its Application Problem Solving Techniques
• Limit and continuity of Complex functions
• Derivatives of complex function and also discuss Analytic function
• Cauchy–Riemann equations in the Cartesian and polar coordinates
• Laplace's Equation Harmonic Functions
• Exponential Function
• Trigonometric and Hyperbolic Functions
• Logarithm. General Power
• Mid Term Exam
• Complex integration
• Cauchy's Integral theorem and Integral formula
• Power Series,
• Taylor and Maclarurin Series
• Laurent Series, Residues
• Laplace Transform
• Fourier transform and Z- Transform
• Final exam