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FT/GN/68/01/23.01.16 SRI VENKATESWARA COLLEGE OF ENGINEERING COURSE DELIVERY PLAN - THEORY Page 1 of 6 LP: MA6465 Department of Applied Mathematics Rev. No: 00 B.E/B.Tech : Marine Engineering Sub. Code / Sub. Name : MA6465 : Basic Unit I Regulation: 2013 Date: 28.12.16 Applied Mathematics for Marine Engineering statistic Unit Syllabus: Measures of Central Tendency: Mean - Calculation of mean, Measure of Dispersion: Mean deviation - Standard deviation – Variance - calculation of Standard deviation of single group and two groups –Moments. Objective: To introduce basic statistics which has many applications in Engineering and real time problems. Session Teaching Topics to be covered Ref No * Aids Measures of Central Tendency: Mean 1 – Ch.25; 1 LCD/BB Pg.909-913 Calculation of mean 2 Measure of Dispersion: Mean deviation- 1 – Ch.25; Pg.915-916 LCD/BB 3 Standard deviation 2 – Ch.2; Pg.30 – 32 LCD/BB 4 Tutorial class Worksheet LCD/BB 5 Variance 2 – Ch.2; Pg.36-38 LCD/BB 6 Calculation of Standard deviation of single group 2 – Ch.2; Pg.38-41 LCD/BB 7 Calculation of Standard deviation of single group 2 – Ch.2; Pg.38-41 LCD/BB 8 Tutorial class Worksheet LCD/BB 9 Calculation of Standard deviation of two groups 1 – Ch.25; Pg.917-920 LCD/BB 10 Moments. 1 – Ch.25; Pg.921-924 LCD/BB 11 Moments. 1 – Ch.25; Pg.921-924 LCD/BB 12 Tutorial class Worksheet LCD/BB Content beyond syllabus covered (if any): Application to real time problems. * Session duration: 50 minutes FT/GN/68/01/23.01.16 SRI VENKATESWARA COLLEGE OF ENGINEERING COURSE DELIVERY PLAN - THEORY Sub. Code / Sub. Name: MA6465 Page 2 of 6 Applied Mathematics for Marine Engineering : Probability and random variables Unit : II Unit Syllabus: Correlation, Correlation coefficient, Regression lines, Rank correlation Sample space and events,Probability, Axioms of Probability – conditional probability – total probability, Baye’s theorem – Random variable – Discrete Probability distribution – Continuous probability distributions – Expectation – Moment generating function – probability generating function - Probability mass and density functions Objective: To acquaint the students with fundamental knowledge of the concepts of Probability Topics to be covered 13 S ession No 14* Correlation, Correlation coefficient Regression lines 15 Rank correlation 16 17 Sample space and events Probability, Axioms of Probability Tutorial class 18 Conditional probability 19 Ttotal probability, Baye’s theorem 20 22 Tutorial class Continuous Assessment Test-I Random variable - Probability mass and density functions Discrete Probability distribution 23 Continuous probability distributions 21 Ref 1 – Ch.25; Pg.924-928 1 – Ch.25; Pg.928-932 1 – Ch.25; Pg.932-934 2 – Ch.3; Pg.3.1 – 3.50 Worksheet 7 – Ch.2; Pg.63 – 72 7 – Ch.2; Pg.73 – 76 Worksheet 7 – Ch.3; Pg.79-80 7 – Ch.3; Pg.81-85 7 – Ch.3; Pg.85-90 1 – Ch.26; Pg. 958-960 Teaching Aids LCD/BB LCD/BB LCD/BB LCD/BB LCD/BB LCD/BB LCD/BB LCD/BB LCD/BB LCD/BB LCD/BB Expectation – Moment generating function, LCD/BB probability generating function Content beyond syllabus covered (if any): Knowledge of practical approach to the real life problem. 24 *Session duration: 50 mins FT/GN/68/01/23.01.16 SRI VENKATESWARA COLLEGE OF ENGINEERING COURSE DELIVERY PLAN - THEORY Page 3 of 6 Sub. Code / Sub. Name: MA6465 Applied Mathematics for Marine Engineering Unit V : Numerical methods Unit Syllabus: Interpolation for equal and unequal integrals: Lagrange’s methods – Newton's forward and backward different formulae - Divided difference method. ODE: Taylor series – Euler– Runge-Kulta methods Objective: To acquaint the student with Numerical techniques used in wide variety of situations. Session No * Topics to be covered 25 Introduction to Interpolation for equal intervals: Newton's forward different formulae 26 Backward different formulae 27 Interpolation for unequal intervals: Lagrange’s methods 28 Divided difference method 29 Tutorial class 30 Ref 1 – Ch.29; Pg.1038,1039,10 51-1052 Teaching Aids LCD/BB 1 – Ch.29; 1052-1053 LCD/BB 1 – Ch.29; Pg.1064-1069 LCD/BB 1 – Ch.29; Pg.1064-1069 LCD/BB Worksheet LCD/BB ODE: Taylor series and problems 1 – Ch.39; Pg.1098-1100 LCD/BB 31 Euler method 1 – Ch.39; Pg.1100-1101 LCD/BB 32 More problems in Taylor series& Euler method 1 – Ch.39; Pg.1098-1101 LCD/BB 33 Tutorial class Worksheet LCD/BB 1 – Ch.39; Pg. 1106-1109. LCD/BB Worksheet LCD/BB 34 Runge-Kutta methods 35 Tutorial class 36 Summarization of unit V Content beyond syllabus covered (if any): Nil * Session duration: 50 mins LCD/BB FT/GN/68/01/23.01.16 SRI VENKATESWARA COLLEGE OF ENGINEERING COURSE DELIVERY PLAN - THEORY Page 4 of 6 Sub. Code / Sub. Name: MA6465 Applied Mathematics for Marine Engineering Unit IV : Testing of hypothesis Unit Syllabus: Sampling distributions - Estimation of parameters - Statistical hypothesis Tests based on Normal, t, Chi-square and F distributions for mean, variance and proportion Contigency table (test for independent) - Goodness of fit. Objective: To develop the notion of sampling techniques in Marine engineering problems. . Session Teaching Topics to be covered Ref No * Aids 37 Introduction to Sampling distributions 38 Estimation of parameters, Statistical hypothesis 39 Tutorial class 40 Tests based on Normal for single mean 41 Tests based on Normal for differences of mean 42 Tests based on t for single mean. 43 Tests based on t for differences of mean 44 Tutorial class 2 – Ch.6; Pg.6.1 LCD/BB 2 – Ch.7; Pg.7.1 – 7.4 LCD/BB Worksheet LCD/BB 2 – Ch10; Pg.316-318. 2 – Ch.10; Pg.323-326 1 – Ch.27; Pg. 991-994 1 – Ch27; Pg.994-997 Worksheet LCD/BB LCD/BB LCD/BB LCD/BB LCD/BB Continuous Assessment Test-II 7 – Ch.10; Pg.339-344 2 – Ch.30; Pg.1084 – 1086 45 Testing of Hypothesis for proportions LCD/BB 46 F-test between variances 47 Tests for independence of attributes 1 – Ch27; Pg.27.17 LCD/BB 48 Test for goodness of fit. 1 – Ch27; Pg.27.18 LCD/BB LCD/BB Content beyond syllabus covered (if any): Application in system engineering included. * Session duration: 50 mins FT/GN/68/01/23.01.16 SRI VENKATESWARA COLLEGE OF ENGINEERING COURSE DELIVERY PLAN - THEORY Page 5 of 6 Sub. Code / Sub. Name: MA6465 Applied Mathematics for Marine Engineering Unit III : Standard distributions Unit Syllabus: Binomial, Poisson, Normal, Geometric, Negative binomial, Uniform, Exponential, Gamma distributions and their properties : Objective: To introduce the standard distributions which can describe real life phenomenon. Session Teaching Topics to be covered Ref No * Aids 49 Binomial distribution 4 – Ch.3; Pg.119 – 125 LCD/BB 50 Poisson distribution 4 – Ch.3; Pg.131 – 137 LCD/BB 51 Tutorial class Worksheet LCD/BB 52 Geometric distribution 53 Negative binomial distribution 54 Uniform distribution. 2 – Ch.4; Pg.129-130 4 – Ch.3; Pg.131-132 LCD/BB LCD/BB 2 – Ch.5; 161-162 LCD/BB 4 – Ch.3; Pg.174-176 Pg.1.28 – 1.50 LCD/BB Worksheet LCD/BB 55 Exponential distribution. 56 Tutorial class 57 Gamma distribution. 58 Normal distributions and their properties 59 Normal distributions and their properties 4 – Ch.3; Pg.158-159 LCD/BB 60 Tutorial class Worksheet LCD/BB Continuous Assessment Test-III Content beyond syllabus covered (if any): Nil * Session duration: 50 mins 4 – Ch.3; Pg.171 – 174 4 – Ch.3; Pg.158-159 LCD/BB LCD/BB FT/GN/68/01/23.01.16 SRI VENKATESWARA COLLEGE OF ENGINEERING COURSE DELIVERY PLAN - THEORY Sub Code / Sub Name Page 6 of 6 : MA6465 Applied Mathematics for Marine Engineering REFERENCES: 1. Grewal, B.S, “Higher Engineering Mathematics”, 42th Edition, Khanna publishers, Delhi, 2007. 2. Johnson, R.A., Miller & Fraund’s probability & statistics for engineers, 8th edition, Printice Hall of India, 2011 3. Jain, M.K. Iyengar, S.R.K., Jain, R.K., Numerical Methods for Engineering and Scientific computation 4rth edition, Newage International Private Limited, New Delhi, 2003. 4. Devore, J.L., “Probability and Statistics for Engineering and the Sciences”, Cengage Learning,New Delhi, 8th edition, (2012). 5. Sastry. S, “Introductory methods of Numerical analysis”, 3rd edition Printice – Hall of India Private Limited, India, 2002. 6. Chapra S.C and Cannale R.P. Numerical methods for engineers, 4th edition tata McGraw Hill New Delhi, 2002. 7. Walpole, R.E., Myers, R.H., Myer, S.L, and Ye, K. Probability & Statistics for Engineers and scientists, 7th edition, Pearson Education, Delhi, 2002 Prepared by Approved by Dr. A.R.VIJAYALAKSHMI Dr. R. MUTHUCUMARASWAMY Assistant Professor Professor & Head 28.12.2016 28.12.2016 Signature Name Designation Date Remarks *: * If the same lesson plan is followed in the subsequent semester/year it should be mentioned and signed by the Faculty and the HOD