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Business Mathematics

Book Description

Business Mathematics focuses on transforming learning and teaching math into its simplest form by adopting learning by application approach. The book is refreshingly different in its approach, and endeavors to motivate student to learn the concept and apply them in real-life situations. It is purposely designed for the undergraduate students of management and commerce and covers wide range of syllabuses of different universities offering this course.

Table of Contents

  1. Cover
  2. Title Page
  3. Contents
  4. Preface
  5. 1. Surds
    1. Introduction
    2. Rationalization of Surds
    3. Illustrations
    4. Analytical Exercises
  6. 2. Indices and Logarithm
    1. Introduction
    2. Exponent (Index) of the Power
    3. Definition of Logarithm
    4. Illustrations
    5. Characteristic and Mantissa
    6. Illustrations
    7. Analytical Exercises
  7. 3. Quadratic Equation
    1. Introduction
    2. Solution Set of Quadratic Equation
    3. Nature of the Roots of Quadratic Equation
    4. Sum and Product of the Roots
    5. Using Roots of the Equation to form the Quadratic Equation
    6. Illustrations
    7. Analytical Exercises
  8. 4. Complex Numbers
    1. Introduction
    2. Set of Complex Numbers in C
    3. Multiplication is Distributive Over Addition
    4. Complex Number
    5. Illustrations
    6. Analytical Exercises
  9. 5. Set, Relation and Function
    1. Introduction
    2. Set Theory and Relations
    3. Set
    4. Cartesian Product of Sets
    5. Function or Mapping
    6. Various Types of Functions
    7. Do You Know?
    8. Illustrations
    9. Analytical Exercises
  10. 6. Profit—Loss, Discount, Commission and Brokerage
    1. Introduction
    2. Profit and Loss
    3. Illustrations
    4. Analytical Exercises
    5. Discount
    6. Commission and Brokerage
    7. Analytical Exercises
  11. 7. Simple Interest, Average Due Dates and Rebate on Bills Discounted
    1. Introduction
    2. Simple Interest
    3. Illustrations
    4. Rebate on Bills Discounted
    5. Analytical Exercises
  12. 8. Compound Interest and Depreciation
    1. Introduction
    2. Derivation of Formula for Calculating Compound Interest
    3. Illustrations
    4. Nominal Rate and Effective Rate of Interest
    5. Depreciation
    6. Analytical Exercises
  13. 9. Annuity
    1. Introduction
    2. Types of Annuities
    3. Amortization
    4. Sinking Fund
    5. Illustrations
    6. Analytical Exercises
  14. 10. Limit and Continuity
    1. Introduction
    2. Definition of Limit of a Function
    3. Definition of Continuity
    4. Illustrations
    5. Analytical Exercises
  15. 11. Diferential Calculus
    1. Introduction
    2. Definition
    3. Illustrations
    4. Analytical Exercises
  16. 12. Integral Calculus
    1. Introduction
    2. Concept of Integration
    3. Definition
    4. Some Standard Forms
    5. Illustrations
    6. Analytical Exercises
  17. 13. Applications of Calculus
    1. Introduction
    2. Partial Derivatives and Their Applications
    3. Illustrations
    4. Analytical Exercises
    5. Definitions of Some Functions in Economics
    6. Topic A
    7. Illustrations
    8. Topic B
    9. Topic C
    10. Topic D
    11. Topic E
    12. Topic F
    13. Analytical Exercises
    14. Maxima and Minima Concept
    15. Illustrations
    16. Examples
    17. Illustrations
    18. Applications of Integration
    19. Illustrations
    20. Consumer's and Producer's Surplus
    21. Topic E
    22. Illustrations
    23. Analytical Exercises
    24. Topic F
    25. Illustrations
    26. Topic G
    27. Illustrations
    28. Topic H
    29. Illustrations
    30. Topic I
    31. Illustrations
    32. Topic J
    33. Illustrations
    34. Analytical Exercises of Topics F, G, H, I, J
  18. 14. Point
    1. Introduction
    2. Distance Formulae in R1
    3. Distance Formulae in R2
    4. Distance Function
    5. Circumcentre of a Triangle
    6. Centroid of a Triangle
    7. Incentre of a Triangle
    8. Illustrations
    9. Analytical Exercises
  19. 15. Straight Line
    1. Introduction
    2. Slope of a Line
    3. Linear Equation in R2
    4. Intersection of Two Lines
    5. Illustrations
    6. Analytical Exercises
  20. 16. Straight Lines
    1. Introduction
    2. Concurrent Lines
    3. Illustrations
    4. Analytical Exercises
  21. 17. Circle
    1. Introduction
    2. Definition of a Circle
    3. Illustrations
    4. Analytical Exercises
  22. 18. Parabola
    1. Introduction
    2. Conic Section
    3. Illustrations
    4. Analytical Exercises
  23. 19. Ellipse
    1. Introduction
    2. Properties of an Ellipse
    3. Illustrations
    4. Analytical Exercises
  24. 20. Hyperbola
    1. Introduction
    2. Director Circle
    3. Rectangular Hyperbola
    4. Illustrations
    5. Analytical Exercises
  25. 21. Determinant
    1. Introduction
    2. Illustrations
    3. Properties of Determinants
    4. Product of Determinants
    5. Application of Determinants
    6. Analytical Exercises
  26. 22. Matrix Algebra
    1. Introduction
    2. Matrix Algebra
    3. Illustrations
    4. Transpose of a Matrix
    5. Co-factor and Adjoint of a Square Matrix
    6. Inverse of a Matrix
    7. To Find Inverse of a Matrix through Augmented Matrix
    8. Use of Matrix Algebra to Solve Simultanenous Linear Equations
    9. Analytical Exercises
  27. 23. Permutation and Combination
    1. Introduction
    2. Important Notation
    3. Meaning of Permutation and Combination
    4. Illustrations
    5. Analytical Exercises
  28. 24. Binomial Expansion
    1. Introduction
    2. Binomial Theorem
    3. General Term of Binomial Expansion
    4. Illustrations
    5. Analytical Exercises
  29. 25. Principle of Mathematical Induction
    1. Introduction
    2. Historical Introduction
    3. Principle of Finite Induction (PFI)
    4. Illustrations
    5. Power Series
    6. Analytical Exercises
  30. 26. Sequence and Series
    1. Introduction
    2. Sequence and Series
    3. Arithmetic Progression
    4. Harmonic Progression
    5. Do You Know?
    6. Geometric Progression
    7. Do You Know?
    8. Illustrations
    9. Analytical Exercises
  31. Copyright