Download MV2251

DOC/LP/01/28.02.02
LP-MR- MV2251
LESSON PLAN
LP Rev. No: 00
SUB CODE & NAME MV 2251, APPLIED MATHEMATICS FOR
Date:3.12.2010
MARINE ENGINEERING
SEMESTER :
UNIT: I
IV
BRANCH:MR
Page 1 of 6
Unit syllabus: Testing of Hypothesis
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.
Objective: To know about the large and small sample tests.
Session
No
Topics to be covered
Time
Ref
Teaching
Method
1
Introduction Sampling, Testing of Hypothesis
20m
30m
1,2
BB
2
Testing of Hypothesis for population mean and sample mean
50m
1,2
BB
50m
1,2
BB
3
Testing of Hypothesis for two sample means
4
Testing of Hypothesis for varience
50m
1,2
BB
5
Testing of Hypothesis for varience
50m
1,2
BB
6
Testing of Hypothesis for proportions
50m
1,2
BB
7
Student –t-test(population mean and sample mean)
50m
1,2
BB
8
Student –t-test(two sample means)
50m
1,2
BB
9
Chi-square test(independence of attributes)
20m
30m
1,2
BB
10
Chi-square test(goodness of fit)
50m
1,2
BB
11
Summarizing the unit
50m
BB
DOC/LP/01/28.02.02
LP- MR- MV2251
LESSON PLAN
LP Rev. No: 00
SUB CODE & NAME MV 2251, APPLIED MATHEMATICS FOR
Date:3.12.2010
MARINE ENGINEERING
SEMESTER :
UNIT: II
IV
BRANCH:MR
Page 2 of 6
Unit syllabus: Probability and Random variables
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.
Objective: To know about the probability concepts
Session
No
Topics to be covered
12
Introduction to probability
13
Axioms of Probability
14
Conditional probability and problems
15
Conditional probability and problems
16
Total probability and problems
17
Bayes theorem and problems
18
Introduction to Random variable
19
Probability mass function
20
Probability density functions
21
Continuous assessment test -I
21
Co-variance
23
Time
50m
Ref
Teachin
g
Method
1,2
BB
1,2
BB
1,2
BB
1,2
BB
1,2
BB
1,2
BB
1,2
BB
1,2
BB
1,2
BB
50m
1,2
BB
Correlation and Regression
50m
1,2
BB
24
Correlation and Regression
50m,
1,2
BB
25
Transformation of Random variables
50m
1,2
BB
26
Central limit theorem.
50m
1,2
BB
50m
50m
50m
50m
50m
50m
50m
50m
75m
DOC/LP/01/28.02.02
LP- MR- MV2251
LESSON PLAN
LP Rev. No: 00
SUB CODE & NAME MV 2251, APPLIED MATHEMATICS FOR
Date:3.12.2010
MARINE ENGINEERING
SEMESTER :
UNIT: III
IV
Page 3 of 6
BRANCH:MR
Unit syllabus: Standard distributions
Binomial, poissons, geometric, negative binomial, uniform, exponential, gamma, weibull and
normal distributions and their properties – functions of random variables.
Objective: To know about discrete and continuous distributions
Session
No
Topics to be covered
Time
Introduction to discrete and continuous distributions
50m
28
Binomial distribution
29
27
Ref
Teaching
Method
1,2
BB
50m
1,2
BB
Binomial distribution
50m
1,2
BB
30
Poisson distribution
50m
1,2
BB
31
Geometric distribution
50m
1,2
BB
32
Negative binomial distribution
50m
1,2
BB
33
Uniform distribution
50m
1,2
BB
50m
1,2
BB
50m
1,2
BB
1,2
BB
34
35
Exponential distribution
Gamma distribution
50m
36
Weibull distribution
37
Normal distribution and their properties
50m
1,2
BB
38
Normal distribution and their properties
50m
1,2
BB
39
Functions of random variables
50m
1,2
BB
40
Continuous assessment test -II
75m
DOC/LP/01/28.02.02
LP- MR- MV2251
LESSON PLAN
LP Rev. No: 00
SUB CODE & NAME MV 2251, APPLIED MATHEMATICS FOR
MARINE ENGINEERING
SEMESTER :
UNIT: IV
BRANCH:MR
IV
Date:3.12.2010
Page 4 of 6
Unit syllabus: Curve fitting and Interpolation
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.
Objective: To know about fitting of different curves and interpolation
Session
No
Topics to be covered
Time
Ref
Teaching
Method
41
Method of group averages (straight line, parabola)
50m
3,4
BB
42
Method of group averages (exponential and power curve)
50m
3,4
BB
43
Principles of least square(straight line, parabola)
50m
3,4
BB
44
Principles of least square(exponential and power curve)
50m
3,4
BB
45
Method of moments(straight line, parabola)
50m
3,4
BB
46
Method of moments(straight line, parabola)
50m
3,4
BB
47
Introduction to interpolation
50m
3,4
BB
48
Newton divided difference formula
50m
3,4
BB
49
Lagrange’s formula
20m
30m
3,4
BB
50m
3,4
BB
50m
3,4
BB
50
51
Newton’s forward difference formulae.
Newton’s backward difference formulae.
DOC/LP/01/28.02.02
LP- MR- MV2251
LESSON PLAN
LP Rev. No: 00
SUB CODE & NAME MV 2251, APPLIED MATHEMATICS FOR
Date:3.12.2010
MARINE ENGINEERING
SEMESTER :
UNIT: V
IV
Page 5 of 6
BRANCH:MR
Unit syllabus: Numerical solutions of ODE and PDE
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. .
Objective: To find numerical solutions for ODE and PDE.
Session
No
Topics to be covered
Time
50m
52
Taylor series method
53
Euler and modified Euler method
54
Rungekutta method
55
Rungekutta method
56
Finite difference methods for second order differential
equation
57
One dimensional heat equations (both implicit & explicit)
58
One dimensional heat equations (both implicit & explicit)
59
One dimensional wave equation
60
Laplace equation .
61
Poisson equations.
50m
62
Continuous assessment test- III
75m
Ref
Teaching
Method
3,4
BB
50m
3,4
BB
50m
3,4
BB
3,4
BB
3,4
BB
3,4
BB
3,4
BB
3,4
BB
3,4
BB
3,4
BB
50m
50m
50m
50m
50m
50m
DOC/LP/01/28.02.02
LP- MR- MV2251
LESSON PLAN
LP Rev. No: 00
SUB CODE & NAME MV 2251, APPLIED MATHEMATICS FOR
Date:3.12.2010
MARINE ENGINEERING
SEMESTER :
IV
Page 6 of 6
BRANCH:MR
Course Delivery Plan:
1
Week
I
2
II
I
3
II I
4
II I
5
II
6
7
8
9
10
11
12
13
14
15
I II I II I II I II I II I II I II I II I II I II I II
Units
TEXT BOOK
1. Walpole, R.E., Myers, R.H., Myer, S.L, and Ye, K. Probability & Statistics for Engineers
th
and scientists, 7 edition, Reason Education, Delhi, 2002.
th
2. Johnson, R.A., Miller & Fraund’s probability & statistics for engineers, 6 edition Printice
Hall of India, 2002.
rd
3. Sastras- Introductory methods of Numerical analysis, 3 edition printice – Hall of
IndiaPrivate Limited, India, 2002.
th
4. Chapra S.C and Cannale R.P. Numerical methods for engineers, 4 edition tata
McGraw Hill New Delhi, 2002.
REFERENCE BOOKS
th
1. Sheldon – Ross “A First course in probability”, 5 edition, Reason education, Delhi, 2002.
2. Lipschut 3, S, Schiller J. “Schaum’s outlines – Introduction to probality and statistics,
McGraw Hill, New Delhi, 1998.
3.. Jain, M.K. Iyengar, S.R.K., Jain, R.K., Numerical Methods for Engineering and Scientific
rd
computation 3 edition, Newage International Private Limited, New Delhi, 1993.
th
4. Jerald C.F., wheatly, P.O., Applied Numerical Analysis, 5 edition, addition Wesley,
Newyork, 1998.
Prepared by
Approved by
Name
Dr. B. Srutha keerthi
Dr. R. Muthucumaraswamy
Designation
Assistant Professor
Prof & Head – AM
Signature