This course will enable students to understand and know:
Research Methodology
Statistical Methods
Errors in Observation & calculations
Numerical Methods
12.00
Unit I:
Research Methodology
Research: Meaning, Definition, Methodology, Research process, Criterion of good research
Types of Research: Fundamental or Basic, Applied, Historical, Descriptive, Analytical quantitative, qualitative, Conceptual Experimental, Case study
Research Design: Meaning, Concepts, need, designs for different types of research; library, laboratory and field research; Advantages of Designing Research
Research Problem and Developing Research proposal: Selection of research area and topic, statement of the research problem, its scope, steps involved in defining the problem.
Literature Search: Reviewing related literature, referencing, abstracting, Computer search, bibliography, evaluation of the problem.
Defining concepts, objectives, basic assumptions, delimitations and limitations of the problem, Statement of Hypothesis.
12.00
Unit II:
Statistical Methods
Variables: Independent and dependent variables, qualitative and quantitative variables, discrete and continuous variables, confounding variables, methods of controlling variables. Measurement of variables.
Sampling: Meaning, Characteristics of a good sample design, steps in sampling design, types, advantages
Techniques of Data Collection: Primary data; Questionnaire, Schedules, Interview observation & other methods,Secondary data: Reliability, suitability & Adequacy of data.
Processing and Analysis of Data: Processing Operations: Editing, coding, classification and tabulation of data, Elements of Data Analysis, Role of statistics in Data Analysis. Statistical Tables
Report writing: Types, Format.
12.00
Unit III:
Errors in Observation & calculations
Probability: Basic Aspects, probability of combination of events, probability of random variables, distribution of random variable
Statistical Methods: Measures of Central tendency- Mean, Median, Mode, Arithmetic, Geometric and Harmonic mean.
Measures of Dispersion: Range, Mean Deviation, Variance, Standard Deviation, Coefficient of variation
Regression and Correlation: Least square method of fitting a regression line, curvilinear regression, correlation methods, correlation coefficient.
Test of Significance: t-test, chi-test, ANOVA, f-test
Hypothesis
12.00
Unit IV:
Numerical Methods
Common distribution functions: Binomial probability distribution, Poisson distribution and normal distribution etc.
Errors in Experiments: Errors in observations; random errors, systematic errors; Normal law of errors; Average error, Standard error and probable error; significant figures; percentage error.
Errors in Calculations: Approximate numbers and significant figures; Rounding of numbers; Absolute and relative errors, Relation between relative Error and significant figures; General formula for Errors; Application of Error formulas to fundamental operations of Arithmetics
12.00
Unit V:
Research Literature in Physics
Abstracts and Journals and Physics, Electronic Journals, major libraries, arXivs, Data books and other resources of information, subscribing journals in Physics
Scientific Writing: Organization and writing a research paper, short communication, review articles, monographs, technical and survey reports, authored books, edited books, dissertation, thesis
Patents and patent writing, type of different applications, Disclosure for an invention in the thesis
IPR (Intellectual Property Rights), Types, objectives, Limitations, Agreements, Laws and Government Enforcement.
Essential Readings:
Agrawal, B.L., Basic statistics, New Delhi: New Age publishers.Ahuja Ram (2006) A Research Methods, Jaipur: Rawat Publication
Chattopadhyay, D. and Rakshit, P.C. An Advance course in Practical Physics Kolkata: New Central Book Agency(P) Ltd.
E., Balagurusamy, Numerical Methods, Tata Mc. Graw Hill.
Jain M.K., and Iyengar, Numerical methods problems and solutions, New Age International Ltd.
Kothari, C.R. (1989) Research Methodology: Methods and Techniques, Bangalore: Wiley Eastern.
Rosander, A.C.(1965) Elements of Probability and Principles of Statistics, Calcutta: East West Press.