Cover -- Foreword -- Preface -- Contents -- Chapter 1 Mathematical Logic -- 1.1 Introduction -- 1.2 Propositions -- 1.3 Logical Connectives and Compound Propositions -- 1.4 Tautology and Contradiction -- 1.5 Logical Equivalence -- 1.6 Converse, Inverse and Contrapositive of a Conditional -- Chapter 2 Permutation and Combination -- 2.1 Introduction -- 2.2 Fundamental Principle -- 2.3 Permutation and Combination -- 2.4 Factorial of a Positive Integer -- 2.5 Permutation -- 2.5.1 Linear Permutation -- 2.5.2 Value of npr -- 2.5.3 Value of npn -- 2.5.4 Value of 0(!) -- 2.6 Permutation of Things of which Some are Alike -- 2.7 Circular Permutation -- 2.8 Combination -- 2.8.1 Value of ncr -- 2.8.2 Complementary Combinations -- Chapter 3 Probability -- 3.1 Introduction -- 3.2 Terminology -- 3.3 Definition of Probability -- 3.4 Addition Rule of Probability -- 3.5 Conditional Probability -- 3.6 Multiplication Rule -- Chapter 4 Binomial Theorem -- 4.1 Introduction -- 4.2 Statement of Binomial Theorem -- Chapter 5 Partial Fractions -- 5.1 Definitions -- 5.2 Partial Fractions -- Chapter 6 Matrices & Determinants -- 6.1 Introduction -- 6.2 Matrix -- 6.3 Types of Matrices -- 6.4 Algebra of Matrices -- 6.5 Transpose of a Matrix -- 6.6 Determinants -- 6.7 Properties of Determinants -- 6.8 Minor, Co-Factor, Adjoint and Inverse of a Square Matrix -- 6.9 Characteristic Equation of a Square Matrix -- 6.10 Cayley Hamilton Theorem -- 6.11 Solution of Linear System of Equations -- 6.12 Application of Matrices in Business Problems -- Chapter 7 Ratio and Proportions, Variations -- 7.1 Introduction -- 7.2 Ratio -- 7.3 Proportion -- 7.4 Direct Proportion or Direct Variation -- 7.5 Problems on Time and Work -- 7.6 Problem on Time and Distance -- 7.7 Problems on Mixture -- Chapter 8 Averages -- 8.1 Introduction -- 8.2 Arithmetic Average or Mean -- 8.3 Combined Average.

Chapter 9 Bill Discounting -- 9.1 Introduction -- 9.2 Terminology -- 9.3 Formulae -- Chatper 10 Stocks and Shares -- 10.1 Stock -- 10.2 Shares -- 10.3 Distinction between Stock and Shares -- 10.4 Terminology -- Chapter 11 Learning Curve -- 11.1 Introduction -- 11.2 Learning Curve -- 11.3 The Learning Curve Ratio -- 11.4 Graphical Representation of Learning Curve -- 11.5 Learning Curve Equation -- Chapter 12 Linear Programming -- 12.1 Introduction -- 12.2 Linear Programming -- 12.3 Solution of Linear Programming Problem -- Chapter 13 Circles -- 13.1 Definitions -- 13.2 Equation of a Circle -- 13.3 Point of Inter Section of a Line and a Circle -- 13.4 Equation of Tangent to the Circle -- 13.5 Length of the Tangent from the Point to the circle -- 13.6 Condition for the Line to be a Tangent to the Circle and Point of Contact -- 13.7 Condition for the Line to be a tangent to the Circle -- Chapter 14 Parabola -- 14.1 Introduction -- 14.2 Parabola -- 14.3 Equation of the Parabola in the Standard Form -- 14.4 Different Forms of Parabola with Vertex (0, 0) -- 14.5 Different Forms of Parabola with Vertex (h, k) -- Chapter 15 Limits and Continuity -- 15.1 Introduction -- 15.2 Contants and Variables -- 15.3 Function -- 15.4 Limits -- 15.5 Standard Limits -- 15.6 Continuous Functions -- Chapter 16 Differential Calculus -- 16.1 Introduction -- 16.2 Derivative of a Function -- 16.3 Derivative of Some Standard Functions from First Principles -- 16.4 Rules of Differentiation -- 16.5 Defferentiation of Composite Functions -- 16.6 Differentiation of Implicit Functions -- 16.7 Differentiation of Paramertic Functions -- 16.8 Logarithmic Differentiation -- 16.9 Successive Differentiation -- Chapter 17 Application of Derivatives -- 17.1 Derivative as a Rate Measure -- 17.2 Maxima and Minima -- Chapter 18 Integration -- 18.1 Standard Integrals -- 18.2 Algebra of Integrals.

18.3 Substitution Method -- 18.4 Integration by Partial Fraction Method -- 18.5 Integration by Parts -- 18.6 Integrals of the Type -- Chapter 19 Definite Integrals -- 19.1 Introduction -- 19.2 Properties of Definite Integrals -- 19.3 Application of Definite Integrals to Find Area -- Chapter 20 Application of Calculus in Business -- 20.1 Terminology -- Examination Corner -- Blue Print -- Model Question Paper 1 -- Model Question Paper 2 -- Model Question Paper 3 -- Chapterwise Arranged Question Bank -- Gist and Formulae.