TAGS:- RGPV EXE 3RD SEM SYLLABUS I RGTU ELECTRICAL AND ELECTRONICS 3RD SEM SYLLABUS I RGPV EXE 3RD SEM MATHEMATIC S-III SYLLABUS I RGPV EXE SYLLABUS I EXE 3RD SEM SYLLABUS I RGPV EXE SYLLABUS I RGPV ELECTRICAL AND ELECTRONICS 3RD SEMESTER SYLLABUS
Unit I
Functions of Complex Variables: Analytic functions, Harmonic Conjugate, Cauchy - Riemann Equations, Line integral, Cauchy's theorem, Cauchy's Integral formula, Singular points, Poles and Residues, Residue theorem, Evaluation of Real Integral, Bilinear Transformation.
Unit II
Numerical Analysis: Difference operators, Errors and Approximations, Interpolation, Inverse interpolation, Numerical differentiation, Numerical Integration by using Simpson’s method, Weddel’s rule and Gauss legendre open quadrate formula.
Unit IV
Introduction to optimization by linear programming,only two variable problems solution by graphical and simplex method, concept of degeneracy and duality;simple three variable transport and assignment problems and modeling into LPP.
Unit V
introduction to Q theory and Markovian process,time independent property of exponential distribution,solution of only M/M/1 (//FCFS) Queues; introduction to design of experiments, factorial design, sampling methods, Taguchi Loss Function, robust design methods, variance reduction and six (±3)! outliers in quality.
Reference Books:
1. Kreyszig E; Advanced Engineering Mathematics; Wiley Eastern Limited.
2. Ramana BV; Higher Engineering Mathematics; TMH
3. Grewal BS; Higher Engineering Mathematics; Khanna Publisher.
4. Taha H; Operations Research an Introduction; PHI
5. Ross; Taguchi techniques for Quality engineering, TMH
6. Spiegel; Theory and problems of probability and statistics; TMH
7. Chandrasekharaiah DS; Engineering Maths Part II & III; Prism Books Pvt.
8. Johnson; Miller and Freund’s Probability and statistics for Engineers; PHI.
9. Jaggi, Mathur; Engineering Mathematics; Khanna Publisher.
Functions of Complex Variables: Analytic functions, Harmonic Conjugate, Cauchy - Riemann Equations, Line integral, Cauchy's theorem, Cauchy's Integral formula, Singular points, Poles and Residues, Residue theorem, Evaluation of Real Integral, Bilinear Transformation.
Unit II
Numerical Analysis: Difference operators, Errors and Approximations, Interpolation, Inverse interpolation, Numerical differentiation, Numerical Integration by using Simpson’s method, Weddel’s rule and Gauss legendre open quadrate formula.
Unit III
Solutions of algebraic and transcendental equations( Regular False, Newton-Raphson, Iterative,Graffe’s root squaring methods), Solutions of simultaneous algebraic equations, Solutions of ordinary differential equations ( Tailor’s Series, Picard’s Method, Modified Euler’s method, Runge Kutta Method,Predictor-Corrector Method), Solution of Partial differential equation.Unit IV
Introduction to optimization by linear programming,only two variable problems solution by graphical and simplex method, concept of degeneracy and duality;simple three variable transport and assignment problems and modeling into LPP.
Unit V
introduction to Q theory and Markovian process,time independent property of exponential distribution,solution of only M/M/1 (//FCFS) Queues; introduction to design of experiments, factorial design, sampling methods, Taguchi Loss Function, robust design methods, variance reduction and six (±3)! outliers in quality.
Reference Books:
1. Kreyszig E; Advanced Engineering Mathematics; Wiley Eastern Limited.
2. Ramana BV; Higher Engineering Mathematics; TMH
3. Grewal BS; Higher Engineering Mathematics; Khanna Publisher.
4. Taha H; Operations Research an Introduction; PHI
5. Ross; Taguchi techniques for Quality engineering, TMH
6. Spiegel; Theory and problems of probability and statistics; TMH
7. Chandrasekharaiah DS; Engineering Maths Part II & III; Prism Books Pvt.
8. Johnson; Miller and Freund’s Probability and statistics for Engineers; PHI.
9. Jaggi, Mathur; Engineering Mathematics; Khanna Publisher.
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