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PART-I - BUSINESS MATHEMATICS

UNIT I:         Sets and Functions: Venn diagram and its Applications. Operations on Sets. Cartesian product of Sets, Function - Algebraic Functions (Polynomial - Linear, Quadratic and Rational), Transcendental Functions (Exponential), Business Applications and Sets and Functions.

UNIT II:       Differentiation Concepts:  Derivatives of algebraic function, Derivatives of Sum, Difference, Product and Quotient (Algebraic Functions), Maxima and Minima- Concept and Uses. Applications of Differentiation in Economic and Managerial Problems.

UNIT III:      Integration Concepts: Elementary Integration for Algebraic Functions, Simple Definite Integrals for Algebraic Functions, Economic Application, Consumer Surplus and Producer Surplus.

UNIT IV:       Matrices and Determinants with Business Application: Matrices, Types of Matrices, Operations on Matrices, Adjoint of Matrix, Inverse of a Matrix, Elementary Row Operations. Solution of Simultaneous Linear Equations, Input / Output Analysis.

PART-II - BUSINESS STATISTICS

UNIT V:       Probability and Probability Distributions: Introduction - Definition of Probability, Introduction to Probability Distributions - Discrete Probability Distributions - Continuous Probability Distributions (binomial Distribution, Poisson Distribution, Normal Distribution).

UNIT VI:      Correlation Analysis: Introduction, Correlation - Causation and Correlation - Types of Correlation- Measures of Correlation - Scatter Diagram - Karl Pearson’s Correlation Coefficient, Probable Error, Spearman’s Rank Correlation Coefficient.

UNIT VII:    Regression Analysis - Concept, Least Square Method for Linear and Non-Linear Equations, Solving Two Lines of Regression and Properties of Regression Coefficients.

 UNIT VIII: Time Series Analysis: Components of Time Series, Additive and Multiplicative Models, Measurement of Trend by Moving Averages and By Least Square Methods Construction of Seasonal Indices by Sample Averages and Ratio to Moving Averages.

UNIT IX:     Statistical Decision Theory: Decision Making Process, Decisions Under Uncertainty and Decisions Under Risk.