3CAI2-01: Advanced Engineering Mathematics
Discrete and Continuous random variables, Joint distribution, Probability distribution function, conditional distribution. Mathematical Expectations: Moments, Moment Generating Functions, variance and correlation coefficients, Chebyshev’s Inequality, Skewness and Kurtosis.
Normal Distribution, Poisson Distribution and their relations, Uniform Distribution, Exponential Distribution. Correlation: Karl Pearson’s coefficient, Rank correlation. Curve fitting. Line of Regression.
Engineering Applications of Optimization, Formulation of Design Problems as a Mathematical Programming Problems, Classification of Optimization Problems
Single Variable and Multivariable Optimization with & without Constraints, Langrangian theory, Kuhn Tucker conditions
Simplex method, Two Phase Method and Duality in Linear Programming. Application of Linear Programming: Transportation and Assignment Problems.
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