Numerical Methods and Complex Variables EEE Syllabus for B.Tech 2nd Year 1st Sem R22 Regulation JNTUH

Numerical Methods and Complex Variables detailed syllabus for Electrical and Electronics Engineering (EEE), 2nd Year 1st Sem R22 regulation has been taken from the JNTUH official website and presented for the B.Tech students affiliated to JNTUH course structure. For Course Code, Subject Names, Theory Lectures, Tutorial, Practical/Drawing, Credits, and other information do visit full semester subjects post given below. We make sure the result links and syllabus uploaded here is latest and up to date, also the syllabus PDF files can also be downloaded from the universities official website.

For Electrical and Electronics Engineering (EEE) 2nd Year 1st Sem R22 Regulation Scheme, do visit EEE 2nd Year 1st Sem R22 Scheme. The detailed syllabus for numerical methods and complex variables is as follows.

Numerical Methods and Complex Variables Subject Syllabus for EEE 2nd Year 1st Sem R22 Regulation

Pre-requisites:

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Course Objectives:

To learn

Expressing periodic function by Fourier series and a non-periodic function by Fourier transforms
Various numerical methods to find roots of polynomial and transcendental equations.
Concept of finite differences and to estimate the value for the given data using interpolation.
Evaluation of integrals using numerical techniques
Solving ordinary differential equations of first order using numerical techniques.
Differentiation and integration of complex valued functions.
Evaluation of integrals using Cauchy’s integral formula and Cauchy’s residue theorem.
Expansion of complex functions using Taylor’s and Laurent’s series.

Course outcomes:

After learning the contents of this paper the student must be able to

Express any periodic function in terms of sine and cosine
Find the root of a given polynomial and transcendental equations.
Estimate the value for the given data using interpolation
Find the numerical solutions for a given first order ODE’s
Analyze the complex function with reference to their analyticity, integration using Cauchy’s integral and residue theorems
Taylor’s and Laurent’s series expansions in complex function

UNIT-I

UNIT-II

Numerical Methods-I. 10 L
Solution of polynomial and transcendental equations: Bisection method, Iteration Method, Newton-Raphson method and Regula-Falsi method. Jacobi and Gauss-Seidal iteration methods for solving linear systems of equations. Finite differences: forward differences, backward differences, central differences, symbolic relations and separation of symbols, Interpolation using Newton’s forward and backward difference formulae. Central difference interpolation: Gauss’s forward and backward formulae, Lagrange’s method of interpolation.

UNIT-III

Numerical Methods-II. 8 L
Numerical integration: Trapezoidal rule and Simpson’s 1/3rd and 3/8th rules. Ordinary differential equations: Taylor’s series, Picard’s method, Euler and modified Euler’s methods, Runge-Kutta method of fourth order for first order ODE

UNIT-IV

UNIT-V

Complex Integration: 10 L
Line integrals, Cauchy’s theorem, Cauchy’s Integral formula, zeros of analytic functions, singularities, Taylor’s series, Laurent’s series, Residues, Cauchy Residue theorem. and their properties. (All theorems without Proofs)

TEXT BOOKS:

B.S. Grewal, Higher Engineering Mathematics, Khanna Publishers, 36th Edition, 2010.
S.S. Sastry, Introductory methods of numerical analysis, PHI, 4th Edition, 2005.

REFERENCE BOOKS:

For detailed syllabus of all the other subjects of B.Tech 2nd Year Electrical and Electronics Engineering (EEE), visit Electrical and Electronics Engineering (EEE) 2nd Year Syllabus Subjects.

For results of Electrical and Electronics Engineering (EEE) 2nd Year 1st Sem R22 Regulation, visit EEE 2nd Year 1st Sem R22 Regulation results direct link.