Download MA6465

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