This course on Complex Analysis covers topics such as analytical functions, Cauchy-Riemann equations, harmonic conjugates, Milne-Thomson method, bilinear transformations, conformal mappings, complex and line integrations, Cauchy's integral formula, residue theorem, contour integration, Taylor and Laurent series for complex variables. The course aims to teach students the principles and techniques of complex analysis, including differentiation and integration in the complex plane. The teaching method includes lectures, examples, and problem-solving sessions. This course is intended for students and professionals interested in gaining a deeper understanding of complex analysis and its applications in mathematics and engineering.
Overview
Syllabus
Complex Analysis | Analytic Function | Cauchy Riemann Equation BY GP.
Complex Analysis - Short Trick To Find Harmonic Conjugate By GP Sir.
Complex Analysis - Analytic Function | Milne Thomson Method | Example & Solutions.
Complex Analysis - Bilinear transformation | Conformal Mappings By GP.
Complex Analysis - Complex Integration Line Integral Example & Solution.
Cauchy's Integral Formula For Analytic Function | Example & Solution.
Complex Analysis - Cauchy's Residue Theorem & Its Application by GP.
Complex Analysis- Contour Integration | Application of Residue Theorem.
Complex Analysis - Contour integration | Evaluation of Improper Integrals.
Complex Analysis - Taylor Series For Complex Variable | Problems By GP.
Complex Analysis -Laurent Series For Complex Number | Problems By GP.
Complex Analysis , CSIR- NET (Maths) , Previous Paper Solution, Mock Test.
Complex Analysis , CSIR- NET (Maths) , Previous Paper Solution, Mock Test Part-2.
Complex Analysis | Engineering Mathematics | GATE -2019 Paper Solution | Short Trick.
Complex Analysis | Engineering Mathematics | GATE -2018 Paper Solution | Short Trick.
How To Stop Overthinking | How To Get Rid Of Overthinking | Hindi.
Singularity - Types of Singularity | Isolated & Non-Isolated Singularity | Complex Analysis.
Vector Calculus | Vector Differentiation With Short Tricks For GATE, IIT-JAM, PGT , GIC.
Singularity | Removable Singularity - Concepts with Examples | Complex Analysis.
Singularity | Isolated Singularity - Pole and Order Of Pole | Complex Analysis.
Singularity | Isolated Singularity - Isolated Essential Singularity | Complex Analysis.
Singularity | Non-Isolated Singularity - Non-Isolated Essential Singularity | Complex Analysis.
Residue - Complex Analysis | Residue at Infinity | Short Trick With Examples.
Residue - Complex Analysis | Residue at Essential Singularity | Short Trick With Examples.
Singularity | Isolated Singularity at Infinity | Complex Analysis.
Radius of Convergence - Power Series | Complex Analysis.
Singular Solution - Differential Equation | Singular Solution Examples.
Differential Equation | Order And Degree With Concept & Example By GP Sir.
Differential Equation | Formation Of Differential Equation - Concept & Example By GP Sir.
Taught by
Gajendra Purohit
