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The Maharaja Sayajirao University of Baroda
Polytechnic,
Department of Electrical Engineering,
ACADEMIC YEAR
2015-2016
Near Shastri Bridge, Fatehgunj, Vadodara-390001, <<e-mail ID>>
Computer Engineering : (Higher Payment Program)
YEAR
Semester
II
I
CORE/Elective/Foundation 1:
CSC3303 : Numerical & Statistical Methods & Discrete Mathematics
CREDIT
-
HOURS
-
OBJECTIVES:
COURSE CONTENT / SYLLABUS
UNIT-I
UNIT-II
UNIT-III
Numerical Methods
Finite differences, Nowton’s interpolation, LaGrange’s formula, Numerical integration:
Trapezoidal Rule, Simpson’s (1/3 & 3/8) rules. Solution of algebraic and transcendental equations
of one variable: Bisection Mothed, Method of also position, Newton Raphson’s Method. Solution
of system of linear equations; Jacobi’s Method, Gauss Seidel Method conditions: Euler’s method,
Modified Euler’s Method, Runge-Kutta method.
Statistical Methods
Data analysis, measures of central tendency, measures of dispersion graphical Representation
Correlation and Regression, Central limit theorem. Probability: Basic concepts, simple theorems of
Probability, independence of events, Baye’s theorms. Probability distributions (discrete &
continuous) (Binomial, Poisson and Normal distributions).
Discrete Mathematics
Boolean algebra & Logic gates Propositions and logical operators. Logic gates equivalent logical
operators. Implementation of half adder Graph Theory: Konigsberg Bridges problem and its
solution, Directed and indirected graphs, Incidence and degree, Elementary Properties of graphs,
walks, paths and circuits. Euler and Hamiltonian graphs. Tress: Distance and centers in a tree,
binary and roolod trees, spanning trees.
REFERENCES
1.
2.
3.
4.
5.
6.
7.
Advanced Engineering Mathematics, E. Kroyszing, John Willoy.
Introductory methods of numerical analysis, S. S. Satry, Prentise-Hall India.
Numerical methods for Scientific & Engineering computations, M. K. Jain, Iyengar & R. K. Jain, New Age
Publishers.
Fundamentals of Mathematical Statistics, S.C. Gupta & V. K. Kapoor, Sultan Chand Publishers.
Graph Theory with Applications, Narsingh Deo, Prentice-Hall India.
Discrete Mathematics & its Applications, K. H. Rosen, Tata-McGrew-Hill.
Computer Oriented Numerical Method, R. S. Salaria, Khanna Book Publishing.
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