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Pre-Ph.D. 1 - Quantitative Techniques Unit –I Quantitative Techniques- Nature, Significance and purpose, Basic Concepts and definition; Methodology and modeling in Quantitative Techniques. Matrices: Addition, Subtraction, Multiplication and inversion of matrix. Solution of system of Linear equations with the help of matrices Calculus- Elementary concepts of integration and differentiation Unit-II Statistics- Basic Concepts Grouping and displaying data to convey meaning, Measure of Central Tendency, Unit – III Measure of Dispersion, Probability- Elementary concepts, Theoretical Probability distribution – Binomial, Poisson and Normal. Unit –IV Elementary Knowledge of Statistical Quality Control. Regression Analysis, Correlation Analysis. Unit- V Linear Programming- Basic Concepts, Mathematical Problems Formulation; Methods of Solving LPP- Graphical Method and Simplex Method.

Syllabi for Pre Ph.D. Course

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Page 1: Syllabi for Pre Ph.D. Course

Pre-Ph.D. 1 - Quantitative Techniques

Unit –I Quantitative Techniques- Nature, Significance and purpose, Basic Concepts and definition; Methodology and modeling in Quantitative Techniques.Matrices: Addition, Subtraction, Multiplication and inversion of matrix. Solution of system of Linear equations with the help of matricesCalculus- Elementary concepts of integration and differentiation

Unit-II Statistics- Basic ConceptsGrouping and displaying data to convey meaning, Measure of Central Tendency,

Unit – IIIMeasure of Dispersion, Probability- Elementary concepts, Theoretical Probability distribution – Binomial, Poisson and Normal.

Unit –IV Elementary Knowledge of Statistical Quality Control.Regression Analysis, Correlation Analysis.

Unit- VLinear Programming- Basic Concepts, Mathematical Problems Formulation; Methods of Solving LPP- Graphical Method and Simplex Method.

Page 2: Syllabi for Pre Ph.D. Course

Pre-Ph.D. 2 - Research Methodology

Unit –IIntroduction to Research Methodology: Meaning of Research, Process of Research, Types of Research.

Defining Research Problem, Research Design, Data collection- Types and Methods

Unit-IILiterature Survey: Review of up-to date Research Work by searching relevant references on Internet. Introduction to various methods of preparing list of References and Bibliography. Assignment on collection of reference material from Internet along with a list of References Unit-IIISampling Fundamentals, Test of Hypothesis for small and large samples, Applications of commonly used test, t-test, Z-test, Chi Square test, F-test, ANOVA, Analysis of Co-variance.

Unit-IVAttitude measurement- measurement and scaling concepts, types of scales, rankings and rating scaling techniques for measuring attitude Report writing- structure and content.

Unit-VGeneral overview of Intellectual Property: Concepts and formsGeneral overview of Intellectual Property. Emerging Issues in Intellectual Property, Intellectual Property Rights-the Indian Scenario, Dichotomy between Industrial Property and Copyrights and Related Rights, Role of Patents in Promoting Invention, Innovation and Technology Development, Cultural and Economics Importance of Copyright and Related Rights, The Role of Trademarks in Trade and Commerce, Intellectual Property and Global Economy, Acquisition and Maintenance of Intellectual Property Rights.

Page 3: Syllabi for Pre Ph.D. Course

Pre-Ph.D. 3 - COMPUTER FUNDAMENTALS

OBJECTIVE: Familiarity with the Computer, Software, Networks & their uses.

CONTENTS OF SYLLABUS

Units Topics Details of Coverage I Data Processing and Office Use

MS-WORD MS-POWERPOINT MS-EXCEL MS-ACCESS

Explanation of Application of MS-OFFICE for use in Project Report formation

II Introduction to SPSS, SYSTAT & COREL

COMPUTER APPLICATIONS LAB

OBJECTIVE: To make the user system friendly & to get hands on computer experience.

S. No. List of Experiments

Assignment 1st I MS-WORD

MS-POWERPOINT Assignment 2nd II MS-ACCESS

MS-EXCELL Spread Sheet, Graphs, Database Management, Formulations

Assignment 3rd III INTERNET APPLICATIONS:

Email, Search Engine, Download & Upload, Community Groups