### 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

### 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