MA 2266 STATISTICS AND NUMERICAL METHODS SYLLABUS | ANNA UNIVERSITY BE MECHANICAL ENGINEERING 4TH SEM SYLLABUS REGULATION 2008 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY FOURTH SEMESTER BE MECHANICAL ENGINEERING DEPARTMENT SYLLABUS, TEXTBOOKS, REFERENCE BOOKS,EXAM PORTIONS,QUESTION BANK,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), 2008 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2009
MA 2266 STATISTICS AND NUMERICAL METHODS L T P C
(Common to Mechanical, Automobile & Production) 3 1 0 4
UNIT I TESTING OF HYPOTHESIS 9 + 3
Sampling distributions - Tests for single mean, Proportion, Difference of means (large
and small samples) – Tests for single variance and equality of variances – chi-square
test for goodness of fit – Independence of attributes.
UNIT II DESIGN OF EXPERIMENTS 9 + 3
Completely randomized design – Randomized block design – Latin square design - 22 -
factorial design.
UNIT III SOLUTION OF EQUATIONS AND EIGENVALUE PROBLEMS 9 + 3
Newton-Raphson method- Gauss Elimination method – Pivoting - Gauss-Jordan
methods – Iterative methods of Gauss-Jacobi and Gauss-Seidel - Matrix Inversion by
Gauss-Jordan method - Eigenvalues of a matrix by Power method .
UNIT IV INTERPOLATION, NUMERICAL DIFFERENTIATION AND
NUMERICAL INTEGRATION 9 + 3
Lagrange’s and Newton’s divided difference interpolation –Newton’s forward and
backward difference interpolation - Approximation of derivatives using interpolation
polynomials - Numerical integration using Trapezoidal and Simpson’s 1/3 rules.
UNIT V NUMERICAL SOLUTION OF ORDINARY
DIFFERENTIAL EQUATIONS 9 + 3
Taylor’s series method - Euler’s method - Modified Euler’s method - Fourth order Runge-
Kutta method for solving first and second order equations - Milne’s predictor-corrector
methods for solving first order equations - Finite difference methods for solving second
order equation.
L = 45 T = 15 TOTAL = 60 PERIODS
TEXT BOOKS
1. R.A. Johnson and C.B. Gupta, “Miller and Freund’s Probability and Statistics for
Engineers”, Pearson Education, Asia, 7th edition, 2007 (For units 3, 4 and 5).
2. Grewal, B.S. and Grewal,J.S., “ Numerical methods in Engineering and Science”, 6th
Edition, Khanna Publishers, New Delhi, 2004.
REFERENCES:
1. R.E. Walpole, R.H. Myers, S.L. Myers, and K Ye, “Probability and Statistics for
Engineers and Scientists”, Pearson Education, Asia , 8th edition, 2007.
2 M.R. Spiegel, J. Schiller and R.A. Srinivasan, “Schaum’s Outlines Probability and
Statistics”, Tata McGraw Hill edition, 2004.
4. Chapra, S. C and Canale, R. P. “Numerical Methods for Engineers”, 5th Edition, Tata
McGraw-Hill, New Delhi, 2007.
5. Gerald, C. F. and Wheatley, P. O., “Applied Numerical Analysis”, 6th Edition,
Pearson Education Asia, New Delhi, 2006.
MA 2266 STATISTICS AND NUMERICAL METHODS L T P C
(Common to Mechanical, Automobile & Production) 3 1 0 4
UNIT I TESTING OF HYPOTHESIS 9 + 3
Sampling distributions - Tests for single mean, Proportion, Difference of means (large
and small samples) – Tests for single variance and equality of variances – chi-square
test for goodness of fit – Independence of attributes.
UNIT II DESIGN OF EXPERIMENTS 9 + 3
Completely randomized design – Randomized block design – Latin square design - 22 -
factorial design.
UNIT III SOLUTION OF EQUATIONS AND EIGENVALUE PROBLEMS 9 + 3
Newton-Raphson method- Gauss Elimination method – Pivoting - Gauss-Jordan
methods – Iterative methods of Gauss-Jacobi and Gauss-Seidel - Matrix Inversion by
Gauss-Jordan method - Eigenvalues of a matrix by Power method .
UNIT IV INTERPOLATION, NUMERICAL DIFFERENTIATION AND
NUMERICAL INTEGRATION 9 + 3
Lagrange’s and Newton’s divided difference interpolation –Newton’s forward and
backward difference interpolation - Approximation of derivatives using interpolation
polynomials - Numerical integration using Trapezoidal and Simpson’s 1/3 rules.
UNIT V NUMERICAL SOLUTION OF ORDINARY
DIFFERENTIAL EQUATIONS 9 + 3
Taylor’s series method - Euler’s method - Modified Euler’s method - Fourth order Runge-
Kutta method for solving first and second order equations - Milne’s predictor-corrector
methods for solving first order equations - Finite difference methods for solving second
order equation.
L = 45 T = 15 TOTAL = 60 PERIODS
TEXT BOOKS
1. R.A. Johnson and C.B. Gupta, “Miller and Freund’s Probability and Statistics for
Engineers”, Pearson Education, Asia, 7th edition, 2007 (For units 3, 4 and 5).
2. Grewal, B.S. and Grewal,J.S., “ Numerical methods in Engineering and Science”, 6th
Edition, Khanna Publishers, New Delhi, 2004.
REFERENCES:
1. R.E. Walpole, R.H. Myers, S.L. Myers, and K Ye, “Probability and Statistics for
Engineers and Scientists”, Pearson Education, Asia , 8th edition, 2007.
2 M.R. Spiegel, J. Schiller and R.A. Srinivasan, “Schaum’s Outlines Probability and
Statistics”, Tata McGraw Hill edition, 2004.
4. Chapra, S. C and Canale, R. P. “Numerical Methods for Engineers”, 5th Edition, Tata
McGraw-Hill, New Delhi, 2007.
5. Gerald, C. F. and Wheatley, P. O., “Applied Numerical Analysis”, 6th Edition,
Pearson Education Asia, New Delhi, 2006.
pls provide syllabus for affiliated colleges previous year question papers.thank you
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