MV 2251 APPLIED MATHEMATICS FOR MARINE ENGINEERING SYLLABUS | ANNA UNIVERSITY BE MARINE ENGINEERING 4TH SEM SYLLABUS REGULATION 2008 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY FOURTH SEMESTER BE MARINE ENGINEERING 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), 2008 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2009
MV 2251 APPLIED MATHEMATICS FOR MARINE ENGINEERING L T P C
3 0 0 3
UNIT I TESTING OF HYPOTHESIS 9
Sampling, distributions – Testing of Hypothesis for mean, variance, proportions and
differences using normal, t, chi-square and F distributions – tests for independence of
attributes and goodness of fit.
UNIT II PROBABILITY AND RANDOM VARIABLES 9
Axioms of Probability – conditional probability – total probability bayes theorem –
Random variable – Probability mass and density functions – co-variance, corretation –
regression – transformation of random variables central limit theorem.
UNIT III STANDARD DISTRIBUTIONS 9
Binomial, poissons, geometric, negative binomial, uniform, exponential, gamma, weibull
and normal distributions and their properties – functions of random variables.
UNIT IV CURVE FITTING AND INTERPOLATION 9
Curve fitting – method of group averages – Principles of least square – method of
moments, interpolation – newtons and Lagrange’s methods – newtons forward and
backward different formulae.
UNIT V NUMERICAL SOLUTIONS OF ODE AND PDE 9
Taylor series – Euler and modified Euler – Rungekulta methods – finite difference
methods for second order differential equation, finite difference solutions for one
dimensional heat equations (both implicit & explicit) one dimensional wave equation and
two dimensional Laplace and Poisson equations.
TOTAL: 45 PERIODS
TEXT BOOKS:
1. Sastras- Introductory methods of Numerical analysis, 3rd edition printice – Hall of
India Private Limited, India, 2002.
2. Chapra S.C and Cannale R.P. Numerical methods for engineers, 4th edition tata
McGraw Hill New Delhi, 2002.
3. Walpole, R.E., Myers, R.H., Myer, S.L, and Ye, K. Probability & Statistics for
Engineers and scientists, 7th edition, Reason Education, Delhi, 2002.
4. Johnson, R.A., Miller & Fraund’s probability & statistics for engineers, 6th edition
Printice Hall of India, 2002.
28
REFERENCES:
1. Jain, M.K. Iyengar, S.R.K., Jain, R.K., Numerical Methods for Engineering and
Scientific computation 3rd edition, Newage International Private Limited, New Delhi,
1993.
2. Jerald C.F., wheatly, P.O., Applied Numerical Analysis, 5th edition, addition Wesley,
Newyork, 1998.
3. Sheldon – Ross “A First course in probability”, 5th edition, Reason education, Delhi,
2002.
4. Lipschut 3, S, Schiller J. “Schaum’s outlines – Introduction to probality and statistics,
McGraw Hill, New Delhi, 1998.
MV 2251 APPLIED MATHEMATICS FOR MARINE ENGINEERING L T P C
3 0 0 3
UNIT I TESTING OF HYPOTHESIS 9
Sampling, distributions – Testing of Hypothesis for mean, variance, proportions and
differences using normal, t, chi-square and F distributions – tests for independence of
attributes and goodness of fit.
UNIT II PROBABILITY AND RANDOM VARIABLES 9
Axioms of Probability – conditional probability – total probability bayes theorem –
Random variable – Probability mass and density functions – co-variance, corretation –
regression – transformation of random variables central limit theorem.
UNIT III STANDARD DISTRIBUTIONS 9
Binomial, poissons, geometric, negative binomial, uniform, exponential, gamma, weibull
and normal distributions and their properties – functions of random variables.
UNIT IV CURVE FITTING AND INTERPOLATION 9
Curve fitting – method of group averages – Principles of least square – method of
moments, interpolation – newtons and Lagrange’s methods – newtons forward and
backward different formulae.
UNIT V NUMERICAL SOLUTIONS OF ODE AND PDE 9
Taylor series – Euler and modified Euler – Rungekulta methods – finite difference
methods for second order differential equation, finite difference solutions for one
dimensional heat equations (both implicit & explicit) one dimensional wave equation and
two dimensional Laplace and Poisson equations.
TOTAL: 45 PERIODS
TEXT BOOKS:
1. Sastras- Introductory methods of Numerical analysis, 3rd edition printice – Hall of
India Private Limited, India, 2002.
2. Chapra S.C and Cannale R.P. Numerical methods for engineers, 4th edition tata
McGraw Hill New Delhi, 2002.
3. Walpole, R.E., Myers, R.H., Myer, S.L, and Ye, K. Probability & Statistics for
Engineers and scientists, 7th edition, Reason Education, Delhi, 2002.
4. Johnson, R.A., Miller & Fraund’s probability & statistics for engineers, 6th edition
Printice Hall of India, 2002.
28
REFERENCES:
1. Jain, M.K. Iyengar, S.R.K., Jain, R.K., Numerical Methods for Engineering and
Scientific computation 3rd edition, Newage International Private Limited, New Delhi,
1993.
2. Jerald C.F., wheatly, P.O., Applied Numerical Analysis, 5th edition, addition Wesley,
Newyork, 1998.
3. Sheldon – Ross “A First course in probability”, 5th edition, Reason education, Delhi,
2002.
4. Lipschut 3, S, Schiller J. “Schaum’s outlines – Introduction to probality and statistics,
McGraw Hill, New Delhi, 1998.
No comments:
Post a Comment
Any doubt ??? Just throw it Here...