Statistics and Optimization Algorithms

 Date of commencement of Course Tentative Course Duration 45 hours Eligibility Any graduate/diploma holder with mathematics background Timings Shall be declared soon Expected Learning outcomes Participants will be equipped with standard techniques in descriptive and inferential Statistics and will be able to use these techniques in decision making Participants will be equipped with standard techniques for solving various Mathematical problems numerically Participants will be familiar with linear and non linear Optimization techniques and applications Course Fees (in Rs.) 9000/- Topics covered MM-004-Numerical Methods: 1: Preliminaries of Computing: Errors, Taylor series approximations Solutions of algebraic and transcendental equations, system of nonlinear equations 2: Interpolation: Finite difference operators, Lagrange’s and Newton’s Interpolation, Error in interpolation 3 Numerical differentiation & Integration: Methods based on interpolation, finite differences, methods with error analysis, Trapezoidal and Simpson’s rule, Gauss quadrature method with error analysis 4: Solution of systems of Linear Equations: Direct Methods: Gaussian elimination method, Iterative methods, Solutions of Initial Value Problems MM-005: Statistical Methods 1: Descriptive Statistics (Review) 2: Probability Distributions 3: Population and sample, sampling techniques, 4: Statistical Inference: Types of Hypothesis, hypothesis testing, Rejection and Non-rejection regions, Type-I and Type-II errors, Correlation and Regression MM-006: Optimization Linear Optimization 1: Linear Programming Problem (LPP): Sensitivity Analysis, Duality Theory: Dual LPPs, Dual-Primal relationship, Results on duality, Relevant Applications. 2:Transportation Problem (TP) and Assignment Problem (AP) Nonlinear Optimization 1: Motivation and Background 2: Single Variable Optimization 3: Multivariable Unconstrained optimization 4: Multivariable Constrained optimization Faculty/Experts Dr. V. D. Pathak, Dr. Vikas Jadhav Program Coordinator Dr. V. D. Pathak, Cell:- 9426324267, E-mail:- vdpmsu@gmail.com Dr. Ajay V. Deshmukh, Mobile:-7447474652 e-mail:-ajay.deshmukh@rediffmail.com