Quantitative Methods for Management_MBA_Bharathiar University
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This document outlines the syllabus for a Quantitative Methods for Management course. The syllabus covers 5 units: (1) functions, mathematical models, differentiation, integration and optimization; (2) univariate and bivariate data analysis; (3) probability distributions and expected value; (4) index numbers and time series analysis; (5) hypothesis testing. 80% of exam questions will be problems and 20% will be theory-based. Key concepts covered include linear and nonlinear functions, mathematical modeling, differentiation, integration, probability distributions, hypothesis testing and index numbers. References for the course are also provided.
Quantitative Methods for Management_MBA_Bharathiar University
- 1. By Mr. Victorseelan D., MSc.,MPhil(Statistics) Dept of Mathematics Nehru College of Management Coimbatore Quantitative Methods For Management
- 2. Quantitative Methods For Management SYLLABUS UNIT I Linear, Non-Linear functions – graphical representation of functions, Constants, Variables – notion of Mathematical models – concept of trade off – notion of constants – concept of Interest. Basic Concept of differentiation – integration – Optimization concepts – use of differentiation for optimization of business problem- Optimization. UNIT II Data Analysis – Uni-Variate – ungrouped and grouped data measures of central Tendencies, measures of dispersion – C V percentages (problem related to business applications). Bivariate – correlation and regression – problems related to business applications. UNIT III Probability – definitions – addition and multiplication Rules (only statements) – simple business application problems – probability distribution – expected value concept – theoretical probability distributions – Binomial, Poison and Normal – Simple problems applied to business
- 3. Quantitative Methods For Management SYLLABUS UNIT IV Basic concept of index numbers – simple and weighted index numbers – concept of weights - types of index numbers – Business index number – CPT, WPI, Sensex, Niffy, Production Index, Time series – variations in Time Series for business forecasting. UNIT V Hypothesis testing of Proportion and Mean – single and two tailed tests – errors in Hypothesis Testing – Measuring the power of Hypothesis test. Chi-Square Tests References : 1. Statistics for Management – Richard L Levin & Daid S Rubin 2. Statistical Methods – S P Gupta 3. Statistics for Business and Economics – R P Hoods – MacMillan India Limited 4. David M.Levine, Timothy C.Krehbiel and Mark L.Berenson “Business Statistics: A First Course” , Pearson Education Asia 5. Amir D. Aczel, Complete Business Statistics, 5th edition, Irwin McGraw-Hill. Questions : 80% of the questions shall be problems 20% of the questions shall be theory based.
- 4. UNIT – 1 Review Linear, Non-Linear functions: Graphical representation of functions, Constants, Variables – Notion of Mathematical models – Concept of trade off – notion of constants – concept of Interest. Basic Concept of differentiation – integration – Optimization concepts – use of differentiation for optimization of business problem- Optimization.
- 5. Constants and Variables Constants and Variables are the two types of symbols in algebra. Constant: A symbol which has a fixed numerical value is called a constant. For example: 2, 5, 0, -3, -7, 2/7, 7/9 etc., are constants. Number of days in a week represents a constant. In the expression 5x + 7, the constant term is 7.
- 6. Constants and Variables Variables: A quantity which has no fixed value but takes no various numerical values is called a variable. For example: Temperature at different times of a day represents a variable. The height of a student in your grade is a variable, as it varies from student to student. A variable is denoted by a letter like x, y, z, u, v etc.
- 7. Examples Examples on Constants and Variables: (i) In 2a, 2 is a constant and a is a variable. (ii) In -7mn, -7 is a constant and m and n are variables. (iii) In 3x, 3 is constant and x is variable but together 3x is a variable. (iv) If 3 is a constant and x is a variable, then 3 + x, 3 - x, 3/x, 3x, x/3, etc., are also variables. So, we conclude that the combination of a constant and a variable is always a variable.
- 8. Trade-off functions Trade-off functions express how much of one objective has to be sacrificed to increase the value of another objective by one unit.
- 9. Functions
- 16. Linear Functions An equation whose graph is a straight line is called a linear function. A linear function has an equation that can be written in the form of
- 17. Nonlinear Functions -Quadratic function Equations whose graphs are not straight lines are called nonlinear functions. Some nonlinear functions have specific names. A quadratic function is nonlinear and has an equation in the form of
- 18. Nonlinear Functions - Cubic function Another nonlinear function is a cubic function. A cubic function has an equation in the form of
- 35. Concepts of Simple and Compound Interest
- 47. Simple Interest - Example
- 48. Compound Interest - Example
- 49. Basic Concept of Differentiation and Integration
- 68. Chain Rule
- 70. INTEGRATION
- 86. Previous Year Questions (Theory) Distinguish between Constant and Variable of a Mathematical Model with a suitable Example? Define Linear and Non Linear functions with Example Differentiate Integration and Differentiation?