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Basic Mathematics and Official Statistics
Paper is designed to acquaint the students with elementary mathematics and official statistics so students should understand the basics and the role of statistics in public and private sector.
Polynomials, exponential, logarithmic and Binomial functions and their expansions, Basic ideas of Permutations and Combinations (simple problems). Matrices: Types, Addition, Subtraction, Product and Inverse of Matrices. Determinants of order 3* 3 and problem based on its properties.
Differential Calculus- Functional relationship between two variables. Introduction to limits, continuity and differentiability. Standard results for differential coefficients of xn , ex, log x etc ( without proof). Rules for differentiation of sum, difference, product and Quotient and function of a function (without proof). Maxima and minima of functions of one and two variable.
Definition and meaning of Integration. Integration as inverse of differentiation. Indefinite integral, Integration of simple function, Integration by substitution, integration by parts. Definite Integral and its properties. Beta and Gamma integral and their properties.
Present official statistical system in India, methods of collection of official statistics,their relibility and limitations. Census and various registration system and surveys conducted by government of India.
Role of Ministry of Statistics and Program Implimentation(MOSPI), Central Statistical office(CSO), National Sample Survey Office(NSSO), and National statistical Commission.
1. Sharma, G.C. and Jain, Madhu (2001) :Essential Mathematics , Galgotia Publications Pvt Ltd, 2001
2. Text Books of Mathematics prescribed by NCERT for class XI and XII
3.Srivastava, S.S.and Asthana, B.N.(1965):Applied Statistics of India, Chaitnya Publishing House
1 Guide to current Indian Official Statistics, CSO,GOI, New Delhi
2 Goon, A.M., Gupta, M.K. and Dasgupta, B.Das(1991): Fundamental of Statistics, Volume II, The World Press Pvt. Ltd. Calcutta
