MA9227 NUMERICAL AND STATISTICAL METHODS SYLLABUS | ANNA UNIVERSITY MCA 4TH SEMESTER SYLLABUS REGULATION 2009 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY 4TH SEMESTER MCA MASTER OF COMPUTER APPLICATIONS DEPARTMENT SYLLABUS, TEXTBOOKS, REFERENCE BOOKS,EXAM PORTIONS,QUESTION BANK,PREVIOUS YEAR QUESTION PAPERS,MODEL QUESTION PAPERS, CLASS NOTES, IMPORTANT 2 MARKS, 8 MARKS, 16 MARKS TOPICS. IT IS APPLICABLE FOR ALL STUDENTS ADMITTED IN THE YEAR 2011 2012-2013 (ANNA UNIVERSITY CHENNAI,TRICHY,MADURAI, TIRUNELVELI, COIMBATORE) 2009 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2009
MA9227 NUMERICAL AND STATISTICAL METHODS L T P C
3 1 0 4
UNIT I LINEAR SYSTEM OF EQUATIONS 12
Solution of Systems of equations – Solution of Simultaneous linear equations – Gauss
elimination methods – Gauss Jordan methods, Jacobi and Gauss Seidal iterative
methods
UNIT II NUMERICAL DIFFERENTIATION AND INTEGRATION 12
Interpolation, Differentiation and integration – difference table – Newton’s forward and
backward interpolation –Lagrangian interpolation –Differentiation formulae– Trapezoidal
and Simpson rule Gaussian – Quadrature
UNIT III DIFFERENTIAL EQUATIONS 12
Ordinary Differential equations–Taylor Series and Euler methods, Runge– Kutta
methods – Predictor-corrector method – Milne and Adam – Bashforth methods – Error
Analysis
23
UNIT IV PROBABILITY DISTRIBUTIONS 12
Probability axioms- Bayes Theorem- Discrete random variables and Continuous random
variables – Density & Distribution functions - Joint and marginal distributions –
Conditional distributions - Characteristic function- moment generating functionexpectation.
UNIT V SAMPLING DISTRIBUTIONS 12
Small sample, t-test, F-test, 2 –test, ANOVA one way classification and two way
classification
TOTAL : 60 PERIODS
TEXT BOOKS:
1. Grewal B.S, “ Numerical methods in Engineering and Science”, Khanna Publishers,
1994. (Unit 1,2 & 3)
2. John.E..Freund, Irwin Miller, Marylees Miller “Mathematical Statistics with
Applications ”, Seventh Edition, Prentice Hall of India, 2004. (Unit 4 & 5)
REFERENCES:
1. A.M.Natarajan & A.Tamilarasi, “Probability Random Processes and Queuing
theory”, New Age International Publishers, 2nd Edition, 2005.
2. S.K. Gupta, “ Numerical Methods for Engineers “, New age International
Publishers,1995.
MA9227 NUMERICAL AND STATISTICAL METHODS L T P C
3 1 0 4
UNIT I LINEAR SYSTEM OF EQUATIONS 12
Solution of Systems of equations – Solution of Simultaneous linear equations – Gauss
elimination methods – Gauss Jordan methods, Jacobi and Gauss Seidal iterative
methods
UNIT II NUMERICAL DIFFERENTIATION AND INTEGRATION 12
Interpolation, Differentiation and integration – difference table – Newton’s forward and
backward interpolation –Lagrangian interpolation –Differentiation formulae– Trapezoidal
and Simpson rule Gaussian – Quadrature
UNIT III DIFFERENTIAL EQUATIONS 12
Ordinary Differential equations–Taylor Series and Euler methods, Runge– Kutta
methods – Predictor-corrector method – Milne and Adam – Bashforth methods – Error
Analysis
23
UNIT IV PROBABILITY DISTRIBUTIONS 12
Probability axioms- Bayes Theorem- Discrete random variables and Continuous random
variables – Density & Distribution functions - Joint and marginal distributions –
Conditional distributions - Characteristic function- moment generating functionexpectation.
UNIT V SAMPLING DISTRIBUTIONS 12
Small sample, t-test, F-test, 2 –test, ANOVA one way classification and two way
classification
TOTAL : 60 PERIODS
TEXT BOOKS:
1. Grewal B.S, “ Numerical methods in Engineering and Science”, Khanna Publishers,
1994. (Unit 1,2 & 3)
2. John.E..Freund, Irwin Miller, Marylees Miller “Mathematical Statistics with
Applications ”, Seventh Edition, Prentice Hall of India, 2004. (Unit 4 & 5)
REFERENCES:
1. A.M.Natarajan & A.Tamilarasi, “Probability Random Processes and Queuing
theory”, New Age International Publishers, 2nd Edition, 2005.
2. S.K. Gupta, “ Numerical Methods for Engineers “, New age International
Publishers,1995.
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