Cauchy–Riemann equations in the Cartesian and polar coordinates
Book: Erwin Kreyzing , "Advanced Engineering Mathematics", John Wiley. (latest Ed)
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Course Material
- 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
- Chapters 18
- Department Mechanical Engineering
- Teacher
Ms. Farhat Imtiaz
