# InfoCoBuild

## 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)

 Introduction

 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

 References Engineering Mathematics II Instructor: Prof. Jitendra Kumar, Department of Mathematics, IIT Kharagpur. The course consists of topics in complex analysis, numerical analysis, vector calculus and transform techniques with applications to various engineering problems.