Basic knowledge.
1. | Ratio and proportion, Indices, Logarithms. |
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2. | Equations |
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| Linear – simultaneous linear equations up to three variables, quadratic and cubic equations in one variable, equations of a straight line, intersection of straight lines, graphical solution to linear equations. |
3. | Inequalities |
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| Graphs of inequalities in two variables common region. |
4. | Simple and Compound Interest including annuity, Applications |
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5. | Basic concepts of Permutations and Combinations |
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6. | Sequence and Series – Arithmetic and geometric progressions |
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7. | Sets, Functions and Relations |
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8. | Limits and Continuity, Intuitive Approach |
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9. | Basic concepts of Differential and Integral Calculus (excluding trigonometric functions) |
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10. | Statistical description of data |
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| (a) | Textual, Tabular & Diagrammatic representation of data. | (b) | Frequency Distribution. | (c) | Graphical representation of frequency distribution – Histogram, Frequency Polygon, Ogive |
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11. | Measures of Central Tendency and Dispersion |
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| Arithmetic Mean, Median – Partition Values, Mode, Geometric Mean and Harmonic, Mean, Standard deviation, Quartile deviation |
12. | Correlation and Regression |
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13. | Probability and Expected Value by Mathematical Expectation |
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14. | Theoretical Distributions |
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| Biomial, Poisson and Normal. |
15. | Sampling Theory |
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| Basic Principles of sampling theory , Comparison between sample survey and complete enumeration , Errors in sample survey , Some important terms associated with sampling , Types of sampling , Theory of estimation , Determination of sample size . |
16. | Index Numbers |
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