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