Basic Mathematics and Official Statistics

Paper Code: 
STT 101
Credits: 
3
Contact Hours: 
45.00
Max. Marks: 
100.00
Objective: 

Paper is designed to acquaint the students with elementary mathematics and official statistics so students understand the basic and the role of statistics in public and private sector.

Course

Learning outcomes (at course level

Learning and teaching strategies

Assessment Strategies

 

Paper Title

 

Basic mathematics and Official Statistics

CO 1: Students will learn the institutional, legal and principles of functioning of official statistics.

 

CO 2: Students will demonstrate the knowledge about the mathematical functions and operations.

 

CO 3: Ability to determine combination and permutations.

 

CO 4: Able to integrate and differentiate the simple and complex function.

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

 

 

9.00
Unit I: 
UNIT I

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.

9.00
Unit II: 
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.

 

9.00
Unit III: 
Integral calculus:

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.

 

9.00
Unit IV: 
UNIT IV

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.

 

9.00
Unit V: 
UNIT V

Role of Ministry of Statistics & Program Implementation (MOSPI) Central Statistical Office (CSO), National Sample Survey Office (NSSO), and National Statistical Commission.

 

Essential Readings: 
  • 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.
  • 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.
Academic Year: 
2021-2022
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