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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 32 - Derivation of Fourier Series

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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