Course Details
Subject {L-T-P / C} : MA6655 : Mathematical Techniques for Data Analysis { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Prof. Manas Ranjan Tripathy
Syllabus
Vector spaces, Bases and dimensions, Linear transformations, Matrix algebra, Eigen values and Eigen vectors.
Lines and hyperplanes, convex sets, convex hull and their properties, Formulation of a Linear Programming Problem, Theorems dealing with vertices of feasible regions and optimality, Graphical solution, Simplex method (including Big M method and two phase method), infeasible and unbounded LPP's, alternate optima, Dual problem and duality theorem. Transportation problems, Assignment problems, Travelling salesman problems.
Course Objectives
- To learn some mathematical techniques for data analysis which are useful in practice
Course Outcomes
The students will learn the practical aspects of mathematical modeling.
Essential Reading
- K. Hoffman and R. A. Kunze, Linear Algebra, Prentice Hall of India
- H. A. Taha, Operations Research: An Introduction, Pearson Education Limited
Supplementary Reading
- H. Dym, Linear algebra in Action, American Mathematical Society
- W. L.Winston, Operation Research, Thomson Learning EMEA