Description
Taylor and Francis Ltd A Guide to Business Mathematics 1st Edition 2022 Hardbound by O'Regan, Gerard
Features:Discusses simple interest and its application to promissory notes/treasury bills. Discusses compound interest with applications to present and future values.Introduces the banking field including loans, annuities, and the spot/forward FX market.Discusses trade discounts and markups/markdowns Introduces the insurance field and the role of the actuaryIntroduces the fields of data analytics and operations researchDiscusses business metrics and problem solvingIntroduces matrices and their applicationsDiscusses calculus and its applicationsDiscusses basic financial statements such as balance sheet, profit and loss and cash account.Reviews a selection of software to support business mathematics 1. Introduction to Number Theory. 1.1. Basic Number Theory. 1.2. Fractions and Decimals. 1.3. Prime Number Theory. 1.4. Ratios and Proportions. 1.5. Percentages. 1.6. Review Questions. 1.7. Summary. 2. Algebra. 2.1. Simplification of Algebraic Expressions. 2.2. Simple and Simultaneous Equations. 2.3. Quadratic Equations. 2.4. Indices and Logarithms. 2.5. Exponentials and Natural Logarithms. 2.6. Review Questions. 2.7. Summary. 3. Sets, Relations and Functions. 3.1. Set Theory. 3.2. Relations. 3.3. Functions. 3.4. Review Questions. 3.5. Summary. 4. Sequences, Series and Permutations and Combinations. 4.1 Sequences and Series. 4.2. Arithmetic and Geometric Sequences. 4.3. Arithmetic and Geometric Series. 4.4. Permutations and Combinations. 4.5. Review Questions. 4.6. Summary. 5. Simple Interest and Applications. 5.1. Simple Interest. 5.2. Computing Future and Present Values. 5.3. Promissory Notes. 5.4. Treasury Bills. 5.5. Review Questions. 5.6. Summary. 6. Compound Interest and Applications. 6.1. Compound Interest. 6.2. Present Value. 6.3. Long Term Promissory Notes. 6.4. Equivalent Values. 6.5. Analysing the Business Case for a project. 6.6. Review Questions. 6.7. Summary. 7. Banking and Financial Services. 7.1. Central Bank. 7.2. Retail Banks. 7.3. Financial Instruments. 7.4. Basic Mathematics of Annuities. 7.5. Loans and Mortgages. 7.6. Foreign Exchange. 7.7. Corporate Bonds. 7.8. Review Questions. 7.9. Summary. 8. Trade Discounts and Pricing. 8.1. Calculating Discounts. 8.2. Markups and Markdowns. 8.3. Payment Terms and Cash Discounts. 8.4. Pricing and Pricing Policy. 8.5. Review Questions. 8.6. Summary. 9. Statistics. 9.1. Basic Statistics. 9.2. Frequency Distribution and Charts. 9.3. Statistical Measures. 9.4. Variance and Standard Deviation. 9.5. Correlation and Regression. 9.6. Statistical Inference and Hypothesis Testing. 9.7. Review Questions. 9.8. Summary. 10. Probability Theory. 10.1. Basic Probability Theory. 10.2. Random Variables. 10.3. Binomial and Poisson Distributions. 10.4. The Normal Distribution. 10.5. Bayesianism. 10.6. Review Questions. 10.7. Summary. 11. The Insurance Industry. 11.1. Basic Mathematics of Motor Insurance. 11.2. Basic Mathematics of Health Insurance. 11.3. Basic Mathematics of Pensions. 11.4. The Actuary. 11.5. Review Questions. 11.6. Summary. 12. Data Science and Data Analytics. 12.1. What is Data Science? 12.2. What is Data Analytics? 12.3. Mathematics in Data Science and Analytics. 12.4. Privacy. 12.5. Security. 12.6. Review Questions. 12.7. Summary. 13. Business Metrics and Problem Solving. 13.1. The Goal Question Metric Paradigm. 13.2. The Balanced Scorecard. 13.3. Metrics for an Organization. 13.4. Implementing a Metrics Program. 13.5. Problem-Solving Techniques. 13.6. Review Questions. 13.7. Summary. 14. Matrix Theory. 14.1. Two x Two Matrices. 14.2. Matrix Operations. 14.3. Determinants. 14.4. Eigen Vectors and Values. 14.5. Gaussian Elimination. 14.6. Applications of Matrices. 14.7. Review Questions. 14.8. Summary. 15. Operations Research. 15.1. Linear Programming. 15.2. Cost Volume Profit Analysis. 15.3. Game Theory. 15.4. Queueing Theory. 15.5. Review Questions. 15.6. Summary. 16. Basic Financial Statements. 16.1. Balance Sheet. 16.2. Profit and Loss Account. 16.3. Managing Cash. 16.4. Review Questions. 16.5. Summary. 17. Calculus I. 17.1. Differentiation. 17.2. Integration. 17.3. Review Questions. 17.4. Summary. 18. Calculus II. 18.1. Applications of Calculus. 18.2. Fourier Series. 18.3. The Laplace Transform. 18.4. Differential Equations. 18.5. Review Questions. 18.6. Summary. 19. A Brief Introduction to Economics. 19.1. Macroeconomics. 19.2. Microeconomics. 19.3. Gross Domestic Product. 19.4. Utility. 19.5. Comparative and Absolute Advantage. 19.6. Elasticity of Demand. 19.7. Role of Money. 19.8. Role of Government in the Economy. 19.9. Economic Indicators. 19.10. Competition. 19.11. Globalisation and Terms of Trade. 19.12. Mathematics in Economics. 19.13. Review Questions. 19.14. Summary. 20. Software to support Business Mathematics. 20.1. Microsoft Excel. 20.2. Python. 20.3. Maple. 20.4. Minitab Statistical Software. 20.5. R Statistical Software Environment. 20.6. Mathematica. 20.7. MATLAB. 20.8. Sage Accounting Software. 20.9. SPSS Statistics. 20.10. SQL and Relational Databases. 20.11. SAS. 20.12. Review Questions. 20.13. Summary.