Advanced Engineering Mathematics PYW5S4HFWN

URI	`m2://res/PYW5S4HFWN`
Kind	course
Creators	P.N. Agarwal (instructor)
Date	2019-01-01
MSC	00-XX
Scope	in
Ids	course 00582g326:111107119

Expressions

e1: edition

Language	en
Date	2019-01-01

m1: page, IIT Roorkee (record). nptel 111107119
m2: page, 2019-01-01 (record). nptel 111107119

Contents

part 1: Week 1
session 1: Analytic Function
session 2: Cauchy-Riemann Equations
session 3: Harmonic Functions, Harmonic Conjugates and Milne's Method
session 4: Applications to the Problems of Potential Flow-I
session 5: Applications to the Problems of Potential Flow-II
part 2: Week 2
session 6: Complex Integration
session 7: Cauchy's Theorem-I
session 8: Cauchy's Theorem-II
session 9: Cauchy's Integral Formula for the Derivatives of Analytic Function
session 10: Morera's Theorem, Liouville's Theorem and Fundamental Theorem of Algebra
part 3: Week 3
session 11: Winding Number and Maximum Modulus Principle
session 12: Sequences and Series
session 13: Uniform Convergence of Series
session 14: Power Series
session 15: Taylor Series
part 4: Week 4
session 16: Laurent Series
session 17: Zeros and Singularities of an Analytic Function
session 18: Residue at a Singularity
session 19: Residue Theorem
session 20: Meromorphic Functions
part 5: Week 5
session 21: Evaluation of real integrals using residues-I
session 22: Evaluation of real integrals using residues-II
session 23: Evaluation of real integrals using residues-III
session 24: Evaluation of real integrals using residues-IV
session 25: Evaluation of real integrals using residues-V
part 6: Week 6
session 26: Bilinear Transformations
session 27: Cross Ratio
session 28: Conformal Mapping-I
session 29: Conformal Mapping-II
session 30: Conformal mapping from half plane to disk and half plane to half plane-I
part 7: Week 7
session 31: Conformal mapping from disk to disk and angular region to disk
session 32: Application of Conformal Mapping to Potential Theory
session 33: Review of Z-transforms-I
session 34: Review of Z-transforms-II
session 35: Review of Z-transforms-III
part 8: Week 8
session 36: Review of Bilateral Z-transforms
session 37: Finite Fourier Transforms
session 38: Fourier Integral and Fourier Transforms
session 39: Fourier Series
session 40: Discrete Fourier Transforms-I
part 9: Week 9
session 41: Discrete Fourier Transforms-II
session 42: Basic Concepts of Probability
session 43: Conditional Probability
session 44: Bayes Theorem and Probability Networks
session 45: Discrete Probability Distribution
part 10: Week 10
session 46: Binomial Distribution
session 47: Negative Binomial Distribution and Poisson Distribution
session 48: Continuous Probability Distribution
session 49: Poisson Process
session 50: Exponential Distribution
part 11: Week 11
session 51: Normal Distribution
session 52: Joint Probability Distribution-I
session 53: Joint Probability Distribution-II
session 54: Joint Probability Distribution-III
session 55: Correlation and Regression-I
part 12: Week 12
session 56: Correlation and Regression-II
session 57: Testing of Hypotheses-I
session 58: Testing of Hypotheses-II
session 59: Testing of Hypotheses-III
session 60: Application to Queuing Theory and Reliability Theory

Catalogue records

nptel: 111107119 (manifestation)
nptel_video: 111107119 (manifestation)