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# Study BSc - Statistics for Mathematics

UNIT-I: Random variables- discrete and continuous random variables –distribution functionproperties- probability mass function, probability density function-mathematical expectation – addition and multiplication theorems on expectations Unit-II: Moment generating and cumulating generating & characteristic functions and their properties.Joint probability distributions-marginal and conditional probability distributionsindependence of random variables.-Simple problems. Tchebychev’s inequality, weak law of large numbers and central limit theorem. Unit – III: Probability distributions: Binomial, Poisson and Normal distributions and their properties and fitting of distributions. Anx.18 D - B.Sc Maths (SDE) 2007-08 Page 5 of 26 Unit – IV: Transformation of variables (one & two dimensional only).Chi-square, t and F Statistics, their probability functions and their properties. Unit – V: Curve fitting and principle of least squares: fitting of curves of straight line, second degree parabola, power curve and exponential curves-correlation and regression analysis.UNIT-I: Random variables- discrete and continuous random variables –distribution functionproperties- probability mass function, probability density function-mathematical expectation – addition and multiplication theorems on expectations Unit-II: Moment generating and cumulating generating & characteristic functions and their properties.Joint probability distributions-marginal and conditional probability distributionsindependence of random variables.-Simple problems. Tchebychev’s inequality, weak law of large numbers and central limit theorem. Unit – III: Probability distributions: Binomial, Poisson and Normal distributions and their properties and fitting of distributions. Anx.18 D - B.Sc Maths (SDE) 2007-08 Page 5 of 26 Unit – IV: Transformation of variables (one & two dimensional only).Chi-square, t and F Statistics, their probability functions and their properties. Unit – V: Curve fitting and principle of least squares: fitting of curves of straight line, second degree parabola, power curve and exponential curves-correlation and regression analysis.

## BSc Subjects

 Applied Electronics Atomic Physics and Nuclear Physics Classical Algebra and Calculus CLIENT SERVER COMPUTING Climatology and Oceanography Complex Analysis DATA COMMUNICATION AND NETWORKS DATA STRUCTURES AND C PROGRAMMING Differential Equation Lap lace Transforms DIGITAL FUNDAMENTALS AND ARCHITECTURE Economic geography Geography of India Geomorphology Heat Thermodynamics Mechanics Properties of Matter and Sound Human geography INTERNET and JAVA PROGRAMMING MATHEMATICAL FOUNDATION FOR COMPUTER Mathematical Physics Mechanics Modern Algebra OBJECT ORIENTED PROGRAMMING WITH C++ Optics Electricity and Magnetism Principles of cartography Quantum Mechanics and Relativity Real Analysis SOFTWARE ENGINEERING Solid State Physics Statistics for geographers Statistics for Mathematics SYSTEM SOFTWARE AND OPERATING SYSTEM Trigonometry Vector Calculus and Analytical Geometry VISUAL PROGRAMMING WEB TECHNOLOGY Business Economics Business Management Business Organisation and Office Management Business Statistics Commercial Law and Company Law Company law and secretarial practice I Company law and Secretarial practice II Corporate Accounting Cost and Management Accounting Executive Communication Financial Accounting Industrial law Life Office Management Managerial Economics Mathematics for Business Principles of Accountancy Principles of Life Insurance Principles of Management Principles of Marketing Priniciples of Reinsurance Statistics

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