UNIVERSITY OF KERALA - College of Engineering, Trivandrum
UNIVERSITY OF KERALA - College of Engineering, Trivandrum
UNIVERSITY OF KERALA - College of Engineering, Trivandrum
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Syllabus for V Semester<br />
08.501 ENGINEERING MATHEMATICS – IV L T P/D Cr<br />
(C M P U)<br />
3 1 0 4<br />
Module I<br />
Discrete and continuous random variables and their probability distributions - Probability distribution<br />
(density) functions - Distribution functions - Mean and Variance - Simple problems. - Binomial, Poisson,<br />
uniform and exponential distributions - Mean and Variance <strong>of</strong> the above distributions - Normal distribution -<br />
Properties <strong>of</strong> normal distribution - Computing probabilities using Binomial, Poisson, uniform, exponential and<br />
normal distributions<br />
Module II<br />
Curve fitting - Principle <strong>of</strong> least squares - Fitting a straight line - Fitting a parabola - Linear<br />
correlation and regression - Karl Pearson’s coefficient <strong>of</strong> correlation - Sampling distributions - Standard<br />
error - Estimation - Interval estimation <strong>of</strong> population mean and proportions ( small and large samples) -<br />
Testing <strong>of</strong> Hypothesis - Hypothesis concerning a mean, Equality <strong>of</strong> means - Hypothesis concerning one<br />
proportion, difference <strong>of</strong> two proportions.<br />
Module III<br />
Linear programming - Formation <strong>of</strong> LPP - graphical solution - General linear programming<br />
problem - Slack and surplus variables - Standard form - Solution <strong>of</strong> LPP - basic solution - Basic feasible<br />
solution - Degenerate and non-degenerate solutions - Optimal solution - Solution by simplex method -<br />
Artificial variables - Big-M method - Canonical form <strong>of</strong> LPP - Duality in LPP - Properties <strong>of</strong> primal and<br />
dual optimal solutions - solution using duality<br />
References<br />
1. T. Veerarajan, Probability and Random Processes, TMH<br />
2. Richard A. Johnson, Probability and statistics for engineers, Pearson<br />
3. G. Hadly, Linear Programming, Addison Wesley<br />
4. Ravindran, Philips, Solberg, Operations Research, Wiley<br />
5. Dr.B.S.Grewal, Higher <strong>Engineering</strong> Mathematics, Khanna Publishers<br />
Question Paper:<br />
The question paper shall consist <strong>of</strong> two parts. Part A (40 marks) shall contain 10 compulsory questions <strong>of</strong> 4<br />
marks each. PartB (60 marks) will have 3 modules . There shall be 2 questions from each module (20 marks<br />
each) out <strong>of</strong> which one is to be answered<br />
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