Fundamentals of Business Mathematics – KASNEB Syllabus

PAPER NO.4: FUNDAMENTALS OF BUSINESS MATHEMATICS

GENERAL OBJECTIVE

This paper is intended to equip the candidate with the requisite knowledge, skills and attitudes to apply basic mathematical concepts to solve problems in business and other environments.

LEARNING OUTCOMES

A candidate who passes this paper should be able to:

  • Apply ratios, rates and proportions to interpret various scenarios
  • Apply indices and logarithms in computations
  • Use linear and matrix algebra to solve problems
  • Apply basic calculus to solve problems
  • Calculate measures of central tendency in statistics
  • Construct and interpret basic graphs

CONTENT

Ratios, Rates and Proportions

  • Ratios
  • Rates
  • Proportions
  • Fractions
  • Decimals
  • Percentages

Indices and Logarithms

  • Notations
  • Laws of indices
  • Simplifying and solving indices
  • Logarithms
  • Change of base

Linear Equations

  • Linear equations in one unknown
  • Linear equations in two unknowns
  • Graphical solutions in two unknowns

Matrix Algebra

  • Notations
  • Operations
  • Solving a 2*2 matrix

Sequences and Series

  • Arithmetic progression(A.P):nth term, sum of first n terms
  • Geometric progression (G.P): nth term, sum of first n terms

Commercial Mathematics

  • Percentage profit and loss
  • Simple interest and compound interest
  • Appreciation and depreciation
  • Basic income tax calculations
  • Foreign exchange rates

Calculus

  • Basic differentiation
  • Stationary points/turning points
  • Basic integration

Probability

  • Definitions: event, experiment and outcome
  • Types of events
  • Rules/laws of probability
  • Conditional probability

Descriptive Statistics

  • Data collection
  • Data presentation; Frequency distribution table
  • Mean, mode and median
  • Variance and standard deviation

Graphs

  • Cartesian plane
  • Linear graphs
  • Graphs of simultaneous equations
  • Graphs of quadratic equations
  • Bar charts
  • Time series graphs
  • Pie charts
  • Graphs of frequency distribution; histogram, polygon, frequency curve, ogive

Emerging issues and trends



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