We have great pleasure in presenting First edition “Business Mathematics” written for students of UG courses. The related matters are written in a simple and easily understandable.
This volume is an attempt to provide the students with thorough understanding of Business Mathematics. We have presented the subject matter in a systematic manner with liberal use of charts and diagrams where ever necessary so as to make it interesting and sustain students’ interest.
Contents –
Unit – 1 Functions
Introduction
Concept of Functions
Types of Functions
Linear
Quadratic
Polynomial
Exponential
Logarithmic
Special Types of Functions
Function Related to Business and Economics
Interest
Simple Interest
Compound Interest
Discounts
Theory of Indices
Laws of Indices
Negative of Indices
Fractional Indices
Arithmetic Progressions
Geometric Progressions
Applications Progressions
Review Questions
Unit – 2 Theory of Sets
Introduction
Set Theory
Definition of Set Theory
Types of Sets
Universal
Power
Super
Equal Sets
Venn Diagrams
Set Operations
Union of Two Sets
Intersection of Two Sets
Complement of Sets
Difference of Two Sets
Theorems
Associative
Distributive
De Morgan’s Laws
Set Relation and Applications
Permutation
Combinations
Review Questions
Unit – 3 Differentiation
Introduction
Concept of Derivative
Physical of Derivative
Geometrical Meaning
Increasing Function
Decreasing Function
Maxima and Minima
Applications of Differentiation
Revenue function (Excluding Trigonometric Functions)
Review Questions
Unit – 4 Concept of Integration
Introduction
Fundamental Formulate
Properties
Method of Integration
Substitution Method only Simple Applications
Revenue Functions
Cost Function
Profit Function (Excluding Trigonometric Function)
Vectors
Types of Vectors
Linear Dependence of Vectors
Independence of Vectors
Review Questions
Unit – 5 Matrix Algebra
Introduction
Definition of Matrix
Symbol and Order of a Matrix
Row Matrix
Column Matrix
Operations of Matrices
Matrix Multiplication
Determinant of a Matrix
Inverse of a Matrix
Rank of Matrix
Application of Matrix
Systems of Linear Equations and their Solution using Matrices
Review Questions
