Syllabus

Advanced Engineering Mathematics

3IT2-01 · Semester 3

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Discrete random variables
Continuous random variables
Joint distribution
Probability distribution function
Conditional distribution
Mathematical Expectations
Moments
Moment Generating Functions
Variance
Correlation coefficients
Chebyshev's Inequality
Skewness
Kurtosis
Binomial distribution
Normal distribution
Poisson distribution
Relations between probability distributions
Uniform distribution
Exponential distribution
Karl Pearson's correlation coefficient
Rank correlation
Curve fitting
Line of regression
Engineering applications of optimization
Formulation of design problems as mathematical programming problems
Classification of optimization problems
Single variable optimization without constraints
Single variable optimization with constraints
Multivariable optimization without constraints
Multivariable optimization with constraints
Lagrangian theory
Kuhn-Tucker conditions
Simplex method
Two-Phase method
Duality in linear programming
Transportation problems
Assignment problems