tags:-rgpv cse 3rd sem syllabus, rgpv computer science syllabus, rgpv computer science 3rd sem syllabus, rgpv mathematics 3 syllabus,rgpv M3 syllabus ,rgpv M-3 syllabus I rgpv m-3 syllabus I rgpv cse 3rd sem M-3 syllabus
Rajiv Gandhi Technological University,Bhopal(MP)
B.E. Computer Science Engg., Semester :-III
Subject :- MATHEMATICS-III
Subject :- MATHEMATICS-III
Revised Syllabus and Scheme of Examination
Effective from July 2010
MATHEMATICS III (BE-301)
Unit 1
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 2
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 3
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 4
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 5
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)σ outliers in quality.
0 comments