Selected Questions in Mathematics for Business, Finance and Economics 2e


Available
    Edition: 2nd revised
  • Format: Soft Cover
  • ISBN: 9781485117056
  • Extent: 368 pages
  • Published:
  • Category: Economics, Business Management, Mathematics

R528.00



This exercise book provides an extensive bank of test and exam questions in the topics of calculus and financial calculations, all oriented towards applications in business, finance and economics. The questions in the main body of the book are multiple-choice questions with answers given at the back of the book. The incorrect alternatives for each question usually highlight misconceptions and common errors. The book also includes a set of sample tests, written response extension tutorials, a formula sheet and a table of integrals.

School Revision

R.1. Review of Algebra

R.2. Review of Equations

R.3. Review of Functions

R.4. Mathematical Modelling 6

Chapter 1

1.1. Limits 9 1.2. Rates of Change

 1.3. The Derivative

 1.4. Continuity and Differentiability

Chapter 2

2.1. Rules of Differentiation

2.2. Derivatives of Products and Quotients

2.3. The Chain Rule

2.4. Derivatives of Logarithmic Functions

2.5. Derivatives of Exponential Functions

Chapter 3

3.1. Increasing and Decreasing Functions

3.2. Applications: Growth and Decay

 3.3. Extrema

3.4. Concavity

3.5. The Second Derivative Test and Applications

3.6. Production and Inventory Control

Chapter 4

4.1. Differentials

 4.2. Implicit Differentiation

 4.3. Related Rates

Chapter 5

5.1. Functions of Several Variables

5.2. Partial Derivatives

5.3. Total Differentials and Approximations

5.4. Maxima and Minima for Functions of Two Variables

 5.5. Lagrange Multipliers

Chapter 6

6.1. Antiderivatives

6.2. Table of Integrals

6.3. Integration by Substitution

 6.4. Integration by Parts

 6.5. The Definite Integral

 6.6. Area between Two Curves

 6.7. Consumers’ and Producers’ Surplus. Net Profit

6.8. Differential Equations

6.9. Numerical Integration

 6.10. Euler’s Method

Chapter 7

7.1. Simple and Compound Interest

7.2. Nominal and Effective Interest Rates

 7.3. Applications of Simple and Compound Interest

Chapter 8

8.1. Annuities: Savings

 8.2. Annuities: Withdrawals

 8.3. Growing Annuities and Perpetuities 163 8.4. Sinking Funds

Chapter 9

9.1. Annuities: Loans

9.2. Loans: Further Problems and Applications

9.3. Loans, Balance Outstanding and Final Payments

9.4. Change of Interest Rates and Missed Payments

 9.5. Newton’s Method

 9.6. Net Present Value and Cash Flows

 9.7. Continuous Compounding

9.8. Continuous Money Flow (Continuous Annuities)

Chapter 10

10.1. Matrix Algebra

 10.2. Determinants and Cramer’s Rule

10.3. Inverses, Gauss Reduction

 10.4. Linear Programming: The Graphical Method

10.5. Linear Programming: The Simplex Method

Extension Tutorials

Tests 307

Useful Formulae

Answers to Questions

Answers to Extension Tutorials

Answers to Tests

• Students at first-year level at tertiary institutions, registered for

  Mathematics as part of a degree in Commerce or Accounting

• Matric level students doing advanced work in Financial Mathematics.

• The chapters have been re-arranged so that all the calculus and the financial

   Mathematics are dealt with entirely in separate sections

• Errors have been identified and corrected

• Question wording has been made more explicit

• The answers for all the different exercises have been grouped together to make

   them easier to find

• Graphs have been redrawn and enhanced.

This product does not have any reviews yet - be the first to write one.

This exercise book provides an extensive bank of test and exam questions in the topics of calculus and financial calculations, all oriented towards applications in business, finance and economics. The questions in the main body of the book are multiple-choice questions with answers given at the back of the book. The incorrect alternatives for each question usually highlight misconceptions and common errors. The book also includes a set of sample tests, written response extension tutorials, a formula sheet and a table of integrals.

School Revision

R.1. Review of Algebra

R.2. Review of Equations

R.3. Review of Functions

R.4. Mathematical Modelling 6

Chapter 1

1.1. Limits 9 1.2. Rates of Change

 1.3. The Derivative

 1.4. Continuity and Differentiability

Chapter 2

2.1. Rules of Differentiation

2.2. Derivatives of Products and Quotients

2.3. The Chain Rule

2.4. Derivatives of Logarithmic Functions

2.5. Derivatives of Exponential Functions

Chapter 3

3.1. Increasing and Decreasing Functions

3.2. Applications: Growth and Decay

 3.3. Extrema

3.4. Concavity

3.5. The Second Derivative Test and Applications

3.6. Production and Inventory Control

Chapter 4

4.1. Differentials

 4.2. Implicit Differentiation

 4.3. Related Rates

Chapter 5

5.1. Functions of Several Variables

5.2. Partial Derivatives

5.3. Total Differentials and Approximations

5.4. Maxima and Minima for Functions of Two Variables

 5.5. Lagrange Multipliers

Chapter 6

6.1. Antiderivatives

6.2. Table of Integrals

6.3. Integration by Substitution

 6.4. Integration by Parts

 6.5. The Definite Integral

 6.6. Area between Two Curves

 6.7. Consumers’ and Producers’ Surplus. Net Profit

6.8. Differential Equations

6.9. Numerical Integration

 6.10. Euler’s Method

Chapter 7

7.1. Simple and Compound Interest

7.2. Nominal and Effective Interest Rates

 7.3. Applications of Simple and Compound Interest

Chapter 8

8.1. Annuities: Savings

 8.2. Annuities: Withdrawals

 8.3. Growing Annuities and Perpetuities 163 8.4. Sinking Funds

Chapter 9

9.1. Annuities: Loans

9.2. Loans: Further Problems and Applications

9.3. Loans, Balance Outstanding and Final Payments

9.4. Change of Interest Rates and Missed Payments

 9.5. Newton’s Method

 9.6. Net Present Value and Cash Flows

 9.7. Continuous Compounding

9.8. Continuous Money Flow (Continuous Annuities)

Chapter 10

10.1. Matrix Algebra

 10.2. Determinants and Cramer’s Rule

10.3. Inverses, Gauss Reduction

 10.4. Linear Programming: The Graphical Method

10.5. Linear Programming: The Simplex Method

Extension Tutorials

Tests 307

Useful Formulae

Answers to Questions

Answers to Extension Tutorials

Answers to Tests

• Students at first-year level at tertiary institutions, registered for

  Mathematics as part of a degree in Commerce or Accounting

• Matric level students doing advanced work in Financial Mathematics.

• The chapters have been re-arranged so that all the calculus and the financial

   Mathematics are dealt with entirely in separate sections

• Errors have been identified and corrected

• Question wording has been made more explicit

• The answers for all the different exercises have been grouped together to make

   them easier to find

• Graphs have been redrawn and enhanced.

This product does not have any reviews yet - be the first to write one.