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Created by:
Last updated:
September 23, 2023
Duration:
Unlimited Duration
FREE
This course includes:
Unlimited Duration
Badge on Completion
Certificate of completion
Unlimited Duration
Description
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.
Course Curriculum
- Lecture 01 – Vector Functions Unlimited
- Lecture 02 – Vector and Solar Fields Unlimited
- Lecture 03 – Divergence and Curl of a Vector Field Unlimited
- Lecture 04 – Line Integrals Unlimited
- Lecture 05 – Conservative Vector Field Unlimited
- Lecture 06 – Green’s Theorem Unlimited
- Lecture 07 – Surface Integral Unlimited
- Lecture 08 – Surface Integral (cont.) Unlimited
- Lecture 09 – Stokes’ Theorem Unlimited
- Lecture 10 – Divergence Theorem Unlimited
- Lecture 11 – Complex Numbers and Functions Unlimited
- Lecture 12 – Differentiability of Complex Functions Unlimited
- Lecture 13 – Analytic Functions Unlimited
- Lecture 14 – Line Integrals Unlimited
- Lecture 15 – Cauchy Integral Theorem Unlimited
- Lecture 16 – Cauchy Integral Formula Unlimited
- Lecture 17 – Taylor Series Unlimited
- Lecture 18 – Laurent’s Series Unlimited
- Lecture 19 – Singularities Unlimited
- Lecture 20 – Residue Unlimited
- Lecture 21 – Iterative Methods for Solving System of Linear Equations Unlimited
- Lecture 22 – Iterative Methods for Solving System of Linear Equations (cont.) Unlimited
- Lecture 23 – Iterative Methods for Solving System of Linear Equations (cont.) Unlimited
- Lecture 24 – Roots of Algebraic and Transcendental Equations Unlimited
- Lecture 25 – Roots of Algebraic and Transcendental Equations (cont.) Unlimited
- Lecture 26 – Polynomial Interpolation Unlimited
- Lecture 27 – Polynomial Interpolation (cont.) Unlimited
- Lecture 28 – Polynomial Interpolation (cont.) Unlimited
- Lecture 29 – Polynomial Interpolation (cont.) Unlimited
- Lecture 30 – Numerical Integration Unlimited
- Lecture 31 – Trigonometric Polynomials and Series Unlimited
- Lecture 32 – Derivation of Fourier Series Unlimited
- Lecture 33 – Fourier Series – Evaluation Unlimited
- Lecture 34 – Convergence of Fourier Series Unlimited
- Lecture 35 – Convergence of Fourier Series (cont.) Unlimited
- Lecture 36 – Fourier Series for Even and Odd Functions Unlimited
- Lecture 37 – Half Range Fourier Expansions Unlimited
- Lecture 38 – Differentiation and Integration of Fourier Series Unlimited
- Lecture 39 – Bessel’s Inequality and Parseval’s Identity Unlimited
- Lecture 40 – Complex Form of Fourier Series Unlimited
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