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Engineering Mathematics II

Engineering Mathematics II. Instructor: Prof. Jitendra Kumar, Department of Mathematics, IIT Kharagpur. This course is about the basic mathematics that is a fundamental and essential component in all streams of undergraduate studies in sciences and engineering. The course consists of topics in complex analysis, numerical analysis, vector calculus and transform techniques with applications to various engineering problems. (from nptel.ac.in)

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


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Lecture 01 - Vector Functions
Lecture 02 - Vector and Solar Fields
Lecture 03 - Divergence and Curl of a Vector Field
Lecture 04 - Line Integrals
Lecture 05 - Conservative Vector Field
Lecture 06 - Green's Theorem
Lecture 07 - Surface Integral
Lecture 08 - Surface Integral (cont.)
Lecture 09 - 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 Integrals
Lecture 15 - Cauchy Integral Theorem
Lecture 16 - Cauchy Integral Formula
Lecture 17 - Taylor 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 (cont.)
Lecture 23 - Iterative Methods for Solving System of Linear Equations (cont.)
Lecture 24 - Roots of Algebraic and Transcendental Equations
Lecture 25 - Roots of Algebraic and Transcendental Equations (cont.)
Lecture 26 - Polynomial Interpolation
Lecture 27 - Polynomial Interpolation (cont.)
Lecture 28 - Polynomial Interpolation (cont.)
Lecture 29 - Polynomial Interpolation (cont.)
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
Lecture 35 - Convergence of Fourier Series (cont.)
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