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

MM004Numerical Methods: 1: Preliminaries of Computing: Errors, Taylor series approximations Solutions of algebraic and transcendental equations, system of nonlinear equations 2: Interpolation: Finite difference operators, Lagrangeâ€™s and Newtonâ€™s Interpolation, Error in interpolation 3 Numerical differentiation & Integration: Methods based on interpolation, finite differences, methods with error analysis, Trapezoidal and Simpsonâ€™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 
MM005: 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 Nonrejection regions, TypeI and TypeII errors, Correlation and Regression 

MM006: Optimization Linear Optimization 1: Linear Programming Problem (LPP): Sensitivity Analysis, Duality Theory: Dual LPPs, DualPrimal 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, Email: vdpmsu@gmail.com Dr. Ajay V. Deshmukh, Mobile:7447474652 email:ajay.deshmukh@rediffmail.com 
Statistics and Optimization Algorithms
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