NOC:Engineering Mathematics-II


Lecture 1 - Vector Functions


Lecture 2 - Vector and Scalar Fields


Lecture 3 - Divergence and Curl of a Vector Field


Lecture 4 - Line Integrals


Lecture 5 - Conservative Vector Field


Lecture 6 - Green’s Theorem


Lecture 7 - Surface Integral - I


Lecture 8 - Surface Integral - II


Lecture 9 - Stokes’ Theorem


Lecture 10 - Divergence Theorem


Lecture 11 - Complex Numbers and Functions


Lecture 12 - Differentiability of Complex Functions


Lecture 13 - Analytic Functions


Lecture 14 - Line Integral


Lecture 15 - Cauchy Integral Theorem


Lecture 16 - Cauchy Integral Formula


Lecture 17 - Taylor’s Series


Lecture 18 - Laurent’s Series


Lecture 19 - Singularities


Lecture 20 - Residue


Lecture 21 - Iterative Methods for Solving System of Linear Equations


Lecture 22 - Iterative Methods for Solving System of Linear Equations (Continued...)


Lecture 23 - Iterative Methods for Solving System of Linear Equations (Continued...)


Lecture 24 - Roots of Algebraic and Transcendental Equations


Lecture 25 - Roots of Algebraic and Transcendental Equations (Continued...)


Lecture 26 - Polynomial Interpolation


Lecture 27 - Polynomial Interpolation (Continued...)


Lecture 28 - Polynomial Interpolation (Continued...)


Lecture 29 - Polynomial Interpolation (Continued...)


Lecture 30 - Numerical Integration


Lecture 31 - Trigonometric Polynomials and Series


Lecture 32 - Derivation of Fourier Series


Lecture 33 - Fourier Series -Evaluation


Lecture 34 - Convergence of Fourier Series - I


Lecture 35 - Convergence of Fourier Series - II


Lecture 36 - Fourier Series for Even and Odd Functions


Lecture 37 - Half Range Fourier Expansions


Lecture 38 - Differentiation and Integration of Fourier Series


Lecture 39 - Bessel’s Inequality and Parseval’s Identity


Lecture 40 - Complex Form of Fourier Series


Lecture 41 - Fourier Integral Representation of a Function


Lecture 42 - Fourier Sine and Cosine Integrals


Lecture 43 - Fourier Cosine and Sine Transform


Lecture 44 - Fourier Transform


Lecture 45 - Properties of Fourier Transform


Lecture 46 - Evaluation of Fourier Transform - Part 1


Lecture 47 - Evaluation of Fourier Transform - Part 2


Lecture 48 - Introduction to Partial Differential Equations


Lecture 49 - Applications of Fourier Transform to PDEs - Part 1


Lecture 50 - Applications of Fourier Transform to PDEs - Part 2


Lecture 51 - Laplace Transform of Some Elementary Functions


Lecture 52 - Existence of Laplace Transform


Lecture 53 - Inverse Laplace Transform


Lecture 54 - Properties of Laplace Transform


Lecture 55 - Properties of Laplace Transform (Continued...)


Lecture 56 - Properties of Laplace Transform (Continued...)


Lecture 57 - Laplace Transform of Special Functions


Lecture 58 - Laplace Transform of Special Functions (Continued...)


Lecture 59 - Applications of Laplace Transform


Lecture 60 - Applications of Laplace Transform (Continued...)