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