Business Mathematics

Description

Cover Business Mathematics Copyright Contents Preface Surds Introduction Rationalization of Surds Illustrations Analytical Exercises Answers Indices and Logarithm Introduction Exponent (Index) of the Power Definition of Logarithm Illustrations Characteristic and Mantissa Illustrations Analytical Exercises Answers Quadratic Equation Introduction Solution Set of Quadratic Equation Nature of the Roots of Quadratic Equation Sum and Product of the Roots Using Roots of the Equation to form the Quadratic Equation Illustrations Analytical Exercises Answers Complex Numbers Introduction Set of Complex Numbers in C Multiplication is Distributive Over Addition Complex Number Illustrations Analytical Exercises Answers Set, Relation and Function Introduction Set Theory and Relations Set Cartesian Product of Sets Function or Mapping Various Types of Functions Do You Know? Illustrations Analytical Exercises Answers Profit–Loss, Discount, Commission and Brokerage Introduction Profit and Loss Illustrations Analytical Exercises Answers Discount Commission and Brokerage Analytical Exercises Answers Simple Interest, Average Due Dates and Rebate on Bills Discounted Introduction Simple Interest Illustrations Rebate on Bills Discounted Analytical Exercises Answers Compound Interestand Depreciation Introduction Derivation of Formula for Calculating Compound Interest Illustrations Nominal Rate and Effective Rate of Interest Depreciation Analytical Exercises Answers Annuity Introduction Types of Annuities Amortization Sinking Fund Illustrations Analytical Exercises Answers Limit and Continuity Introduction Definition of Limit of a Function Definition of Continuity Illustrations Analytical Exercises Answers Differential Calculus Introduction Definition Illustrations Analytical Exercises Answers Integral Calculus Introduction Concept of Integration Definition Some Standard Forms Illustrations Analytical Exercises Answers Applications of Calculus Introduction Partial Derivatives and Their Applications Illustrations Analytical Exercises Answers Definitions of Some Functions in Economics Topic A Illustrations Topic B Topic C Topic D Topic E Topic F Analytical Exercises Answers Maxima and Minima Concept Illustrations Examples Illustrations Consumer’s and Producer’s Surplus Topic E Illustrations Analytical Exercises Answers Topic F Illustrations Topic G Illustrations Topic H Illustrations Topic I Illustrations Topic J Illustrations Analytical Exercises of Topics F, G, H, I, J Answers Point Introduction Distance Formulae in R1 Distance Formulae in R2 Distance Function Circumcentre of a Triangle Centroid of a Triangle Incentre of a Triangle Illustrations Analytical Exercises Answers Straight Line Introduction Slope of a Line Linear Equation in R2 Intersection of Two Lines Illustrations Analytical Exercises Answers Straight Lines Introduction Concurrent Lines Illustrations Analytical Exercises Answers Circle Introduction Definition of a Circle Illustrations Analytical Exercises Answers Parabola Introduction Conic Section Illustrations Analytical Exercises Answers Ellipse Introduction Properties of an Ellipse Illustrations Analytical Exercises Answers Hyperbola Introduction Director Circle Rectangular Hyperbola Illustrations Analytical Exercises Answers Determinant Introduction Illustrations Properties of Determinants Product of Determinants Application of Determinants Analytical Exercises Answers Matrix Algebra Introduction Matrix Algebra Illustrations Transpose of a Matrix Co-factor and Adjoint of a Square Matrix Inverse of a Matrix To Find Inverse of a Matrix through Augmented Matrix Use of Matrix Algebra to Solve Simultanenous Linear Equations Analytical Exercises Answers Permutation and Combination Introduction Important Notation Meaning of Permutation and Combination Illustrations Analytical Exercises Answers Binomial Expansion Introduction Binomial Theorem General Term of Binomial Expansion Illustrations Analytical Exercises Answers Principle of MathematicalInduction Introduction Historical Introduction Principle of Finite Induction Illustrations Power Series Analytical Exercises Answers Sequence and Series Introduction Sequence and Series Arithmetic Progression Harmonic Progression Do You Know? Geometric Progression Do You Know? Illustrations Analytical Exercises Answers