NOC:Advanced Engineering Mathematics


Lecture 1 - Analytic Function


Lecture 2 - Cauchy-Riemann Equations


Lecture 3 - Harmonic Functions, Harmonic Conjugates and Milne's Method


Lecture 4 - Applications to the Problems of Potential Flow - I


Lecture 5 - Applications to the Problems of Potential Flow - II


Lecture 6 - Complex Integration


Lecture 7 - Cauchy's Theorem - I


Lecture 8 - Cauchy's Theorem - II


Lecture 9 - Cauchy's Integral Formula for the Derivatives of Analytic Function


Lecture 10 - Morera's Theorem, Liouville's Theorem and Fundamental Theorem of Algebra


Lecture 11 - Winding Number and Maximum Modulus Principle


Lecture 12 - Sequences and Series


Lecture 13 - Uniform Convergence of Series


Lecture 14 - Power Series


Lecture 15 - Taylor Series


Lecture 16 - Laurent Series


Lecture 17 - Zeros and Singularities of an Analytic Function


Lecture 18 - Residue at a Singularity


Lecture 19 - Residue Theorem


Lecture 20 - Meromorphic Functions


Lecture 21 - Evaluation of real integrals using residues - I


Lecture 22 - Evaluation of real integrals using residues - II


Lecture 23 - Evaluation of real integrals using residues - III


Lecture 24 - Evaluation of real integrals using residues - IV


Lecture 25 - Evaluation of real integrals using residues - V


Lecture 26 - Bilinear Transformations


Lecture 27 - Cross Ratio


Lecture 28 - Conformal Mapping - I


Lecture 29 - Conformal Mapping - II


Lecture 30 - Conformal mapping from half plane to disk and half plane to half plane - I


Lecture 31 - Conformal mapping from disk to disk and angular region to disk


Lecture 32 - Application of Conformal Mapping to Potential Theory


Lecture 33 - Review of Z-transforms - I


Lecture 34 - Review of Z-transforms - II


Lecture 35 - Review of Z-transforms - III


Lecture 36 - Review of Bilateral Z-transforms


Lecture 37 - Finite Fourier Transforms


Lecture 38 - Fourier Integral and Fourier Transforms


Lecture 39 - Fourier Series


Lecture 40 - Discrete Fourier Transforms - I


Lecture 41 - Discrete Fourier Transforms - II


Lecture 42 - Basic Concepts of Probability


Lecture 43 - Conditional Probability


Lecture 44 - Bayes Theorem and Probability Networks


Lecture 45 - Discrete Probability Distribution


Lecture 46 - Binomial Distribution


Lecture 47 - Negative Binomial Distribution and Poisson Distribution


Lecture 48 - Continuous Probability Distribution


Lecture 49 - Poisson Process


Lecture 50 - Exponential Distribution


Lecture 51 - Normal Distribution


Lecture 52 - Joint Probability Distribution - I


Lecture 53 - Joint Probability Distribution - II


Lecture 54 - Joint Probability Distribution - III


Lecture 55 - Correlation and Regression - I


Lecture 56 - Correlation and Regression - II


Lecture 57 - Testing of Hypotheses - I


Lecture 58 - Testing of Hypotheses - II


Lecture 59 - Testing of Hypotheses - III


Lecture 60 - Application to Queuing Theory and Reliability Theory