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Basic Mathematics and Official Statistics
Paper is designed to acquaint the students with elementary mathematics and official statistics so students can understand the basics and the role of statistics in the public and private sector.
Students will be able to:
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Assessment Strategies
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STT-101 |
Basic mathematics and Official Statistics |
CO 1: Demonstrate the knowledge about the mathematical functions and operations. CO 2: Determine combination and permutations.
CO 3: Integrate and differentiate the simple and complex function.
CO 4: Learn the methods of collection of official statistics, Census and various registration systems.
CO 5: Have a detailed knowledge on the working of official statistics system and its various responsibilities. |
Approach in teaching: Interactive Lectures, Group Discussion, Classroom Assignment Problem Solving Sessions
Learning activities for the students: Assignments Seminar Presentation Subject based Activities |
Classroom Quiz Assignments Class Test Individual Presentation |
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.
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 reliability and limitations. Census and various registration system and surveys conducted by Government of India.
Role of Ministry of Statistics & Program Implementation (MOSPI) Central Statistical Office (CSO), National Sample Survey Office (NSSO), and National Statistical Commission.
- Sharma, G.C. and Jain, Madhu (2001): Essential Mathematics ,Galgotia Publications Pvt Ltd, 2001 Text Books of Mathematics prescribed by NCERT for class XI and XII.
- Srivastava, S. S. and Asthana, B.N.(1965): Applied Statistics of India, Chaitnya Publishing House.
SUGGESTED READINGS:
● Guide to current Indian Official Statistics, CSO, GOI, New Delhi.
● Goon, A.M., Gupta, M.K. and Dasgupta, B. Das(1991): Fundamental of Statistics, Volume II, The World Press Pvt. Ltd. Calcutta.
e-RESOURCES:
• https://epgp.inflibnet.ac.in/
JOURNALS:
· Sankhya The Indian Journal of Statistics, Indian Statistical Institute
· Aligarh Journal of Statistics, Department of Statistics and Operations Research, Aligarh Muslim University
· Afrika Statistika, Saint-Louis Senega University
· International Journal of Statistics and Reliability Engineering, Indian Association for Reliability and Statistic
· Journal of the Indian Society for Probability and Statistics, Indian Society for Probability and Statistics
· Journal of the Indian Statistical Association, Indian Statistical Association
· Statistica, Department of Statistical Sciences Paolo Fortunato, University of Bologna
· Statistics and Applications, Society of Statistics, Computer and Applications
Stochastic Modeling and Applications, MUK Publications and Distributions
