Business Mathematics and Statistics

Business Management · Level 6  ·  8 Chapters

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Chapters

What Business Mathematics and Statistics covers: 47 main topics in 8 chapters

1. Apply Statistical Equations

  1. 1.1 Linear equations; solving and graphs;
  2. 1.2 Quadratic equations; solving and graphs;
  3. 1.3 Differentiation and Integration
  4. 1.4 Simultaneous equations; solving
  5. 1.5 Break-even analysis
  6. 1.6 Total revenue, total cost and profit equations; application of errors

2. Apply Statistical Matrices

  1. 2.1 Introduction: order, types
  2. 2.2 Addition, subtraction and multiplication
  3. 2.3 Determinants of 2x2 matrices
  4. 2.4 Inverses of 2x2 matrices
  5. 2.5 Application of matrices to business problems

3. Work-Out Commercial Mathematics

  1. 3.1 Buying and selling; discounts, profit and loss, margins and mark-ups
  2. 3.2 Commissions and salaries; piece and hourly rates, gross and net pay, PAYE
  3. 3.3 Bills calculations; water and electricity
  4. 3.4 Wages and salaries
  5. 3.5 Simple and compound interest
  6. 3.6 Profit margin and mark-up
  7. 3.7 Gross pay and net pay
  8. 3.8 Depreciation and appreciation of assets
  9. 3.9 Hire purchase
  10. 3.10 Foreign currency exchange transactions

4. Carry Out Elementary Statistics

  1. 4.1 Introduction: definitions and branches of statistics
  2. 4.2 Methods of data collection:
  3. 4.3 Presentation of data:

5. Carry Out Descriptive Statistics

  1. 5.1 Measures of central tendency:
  2. 5.2 Mean: arithmetic mean, weighted arithmetic mean, geometric mean and harmonic mean
  3. 5.3 Mode
  4. 5.4 Median
  5. 5.5 Measures of dispersion: range, quartile, deciles, percentiles, mean deviation, standard deviation and coefficient of variation
  6. 5.6 Measures of skewness and kurtosis excluding computation of the coefficients

6. Apply Set Theory

  1. 6.2 Types of sets: universal, empty/null, subsets, finite and infinite
  2. 6.3 Operation of sets: unions, intersections, complements and set difference
  3. 6.4 Venn diagrams

7. Apply Basic Probability Theory

  1. 7.1 Introduction to probability: definitions, events, outcomes, sample space
  2. 7.2 Types of events: simple, compound, independent, mutually exclusive,
  3. 7.3 Mutually inclusive, dependent events
  4. 7.4 Rules of probability: additive and multiplicative rules
  5. 7.5 Baye’s Theorem
  6. 7.6 Elementary probability trees

8. Use index numbers

  1. 8.1 Construction of index numbers
  2. 8.2 Purpose of index numbers
  3. 8.3 Simple index numbers; fixed base method and chain base method
  4. 8.4 Consumer Price Index (CPI)
  5. 8.5 Weighted index numbers; Laspeyre’s, Paasche’s, Fisher’s ideal and
  6. 8.6 Marshall- Edgeworth’s methods (both price and quantity index numbers)
  7. 8.7 Limitations of index numbers
  8. 8.8 Emerging issues and trends

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Beyond the syllabus

Other units in Module III