Learn · Advanced Engineering Mathematics
Lecture 21 of 60Week 5
Evaluation of real integrals using residues-I
Prof. P.N. Agarwal · IIT Roorkee
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- Advanced Engineering Mathematics, IIT Roorkee (at NPTEL)
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All the lectures
- Analytic Function
- Cauchy-Riemann Equations
- Harmonic Functions, Harmonic Conjugates and Milne's Method
- Applications to the Problems of Potential Flow-I
- Applications to the Problems of Potential Flow-II
- Complex Integration
- Cauchy's Theorem-I
- Cauchy's Theorem-II
- Cauchy's Integral Formula for the Derivatives of Analytic Function
- Morera's Theorem, Liouville's Theorem and Fundamental Theorem of Algebra
- Winding Number and Maximum Modulus Principle
- Sequences and Series
- Uniform Convergence of Series
- Power Series
- Taylor Series
- Laurent Series
- Zeros and Singularities of an Analytic Function
- Residue at a Singularity
- Residue Theorem
- Meromorphic Functions
- Evaluation of real integrals using residues-I
- Evaluation of real integrals using residues-II
- Evaluation of real integrals using residues-III
- Evaluation of real integrals using residues-IV
- Evaluation of real integrals using residues-V
- Bilinear Transformations
- Cross Ratio
- Conformal Mapping-I
- Conformal Mapping-II
- Conformal mapping from half plane to disk and half plane to half plane-I
- Conformal mapping from disk to disk and angular region to disk
- Application of Conformal Mapping to Potential Theory
- Review of Z-transforms-I
- Review of Z-transforms-II
- Review of Z-transforms-III
- Review of Bilateral Z-transforms
- Finite Fourier Transforms
- Fourier Integral and Fourier Transforms
- Fourier Series
- Discrete Fourier Transforms-I
- Discrete Fourier Transforms-II
- Basic Concepts of Probability
- Conditional Probability
- Bayes Theorem and Probability Networks
- Discrete Probability Distribution
- Binomial Distribution
- Negative Binomial Distribution and Poisson Distribution
- Continuous Probability Distribution
- Poisson Process
- Exponential Distribution
- Normal Distribution
- Joint Probability Distribution-I
- Joint Probability Distribution-II
- Joint Probability Distribution-III
- Correlation and Regression-I
- Correlation and Regression-II
- Testing of Hypotheses-I
- Testing of Hypotheses-II
- Testing of Hypotheses-III
- Application to Queuing Theory and Reliability Theory