Section A: Fundamentals of Business
Mathematics [40 marks]
1. Arithmetic
(a) Ratios and Proportions
(b) Simple and Compound interest
including application of Annuity
(c) Bill Discounting and
Average Due Date
(d) Mathematical reasoning –
basic application
2. Algebra
(a) Set Theory and simple
application of Venn Diagram
(b) Variation, Indices,
Logarithms
(c) Permutation and Combinations
– basic concepts
(d) Linear Simultaneous
Equations ( 3 variables only)
(e) Quadratic Equations
(f) Solution of Linear
inequalities ( by geometric method only)
(g) Determinants and Matrices
3. Calculus
(a) Constant and variables,
Functions, Limit & Continuity
(b) Differentiability &
Differentiation, Partial Differentiation
(c) Derivatives – First order
and Second order Derivatives
(d) Maxima & Minima –
without constraints and with constraints using Lagrange transform
(e) Indefinite Integrals: as primitives,
integration by substitution, integration by part
(f) Definite Integrals:
evaluation of standard integrals, area under curve
Section B: Fundamentals of Business
Statistics [60 marks]
4. Statistical Representation of Data
(a) Diagrammatic representation
of data
(b) Frequency distribution
(c) Graphical representation
of Frequency Distribution – Histogram, Frequency Polygon, Ogive, Pie-chart
5. Measures of Central Tendency and
Dispersion
(a) Mean, Median, Mode, Mean
Deviation
(b) Quartiles and Quartile
Deviation
(c) Standard Deviation
(d) Co-efficient of Variation,
Coefficient of Quartile Deviation
6. Correlation and Regression
(a) Scatter diagram
(b) Karl Pearson’s Coefficient
of Correlation
(c) Rank Correlation
(d) Regression lines,
Regression equations, Regression coefficients
7. Index Numbers
(a) Uses of Index Numbers
(b) Problems involved in
construction of Index Numbers
(c) Methods of construction of
Index Numbers
8. Time Series Analysis – basic application
including Moving Average
(a) Moving Average Method
(b) Method of Least Squares
9. Probability
(a) Independent and dependent
events; Mutually exclusive events
(b) Total and Compound
Probability; Baye’s theorem; Mathematical Expectation
10. Theoretical Distribution
(a) Binomial Distribution , Poisson
Distribution – basic application
(b) Normal Distribution –
basic application
