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Book Details

  • 978-93-83644-56-8
  • English
  • 2019
  • Paper Back
  • -


  • Unit 1. Random Variables: 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.

    Unit 2. Binomial distribution, Normal Distribution, Poisson Distribution and their relations, Uniform Distribution, Exponential Distribution. Correlation: Karl Pearson’s coefficient, Rank correlation. Curve fitting. Line of Regression.

    Unit 3. Historical development, Engineering Applications of Optimization, Formulation of Design Problems as a Mathematical Programming Problems, Classification of Optimization Problems

    Unit 4. Classical Optimization using Differential Calculus: Single Variable and Multivariable Optimization with & without Constraints, Langrangian theory, Kuhn Tucker conditions

    Unit 5. Linear Programming: Simplex method, Two Phase Method and Duality in Linear Programming. Application of Linear Programming: Transportation and Assignment Problems.