CA FOUNDATION MATHS ONLINE CLASSES

Section A: Business Mathematics

Chapters

Topics

1. Ratio and Proportion, Indices and Logarithms

• Ratio and Proportion (Business Applications related to Ratio and Proportion)

• Laws of Indices

• Exponents and Logarithms and Anti Logarithms.

2. Equations and Matrices

• Equations: Simultaneous linear equations up to three variables, Quadratic and Cubic equations in one variable.

• Matrices: Algebra of Matrices, Inverse of a Matrix and determinants, solving system of equations by Cramer’s Rule (involving not more than three variables).

3. Linear Inequalities with Objective Functions and Optimization w.r.t. Objective function.

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4. Time value of Money

• Simple Interest

• Compound interest

• Depreciation

• Effective Rate of Interest

• Present Value

• Net Present Value

• Future Value

• Perpetuity

• Annuities

• Sinking Funds

• Valuation of Bonds

• Calculating of EMI

• Calculations of Returns:

a) Nominal Rate of Return

b) Effective Rate of Return

c) Compound Annual growth rate( CAGR)

5. Permutations and Combinations

Basic concepts of Permutations and Combinations: Introduction, the Factorial, Permutations,

results, Circular Permutations, Permutations with restrictions, Combinations with standard

results

6. Sequence and Series

• Introduction Sequences

• Series

• Arithmetic and Geometric progression

• Relationship between AM and GM

• Sum of n terms of special series

7. Sets, Relations and Functions

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8. Basic applications of Differential and Integral calculus

(Excluding the trigonometric

applications)

• Applications of Marginal Cost and Marginal Revenue etc.

Section B: Logical Reasoning

1. Number series, Coding and Decoding and the odd man out.

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2. Direction Tests

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3. Seating Arrangements

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4. Blood Relations

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5. Syllogism

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Section C: Statistics

1. Statistical description of Data

• Statistical Representation of Data

• Diagrammatic representation of data

• Frequency distribution

• Graphical representation of Frequency Distribution – Histogram, Frequency Polygon, Ogive, Pie-chart.

2. Measures of Central tendency and Dispersion

• Measures of Central Tendency and Dispersion: Mean Median, Mode, Mean Deviation

• Quartiles and Quartile Deviation

• Standard Deviation

• Coefficient of Variation

• Coefficient of Quartile Deviation.

3. Probability

Probability: Independent and dependent events; mutually exclusive events. Total and Compound Probability and Mathematical Expectation.

4. Theoretical Distributions

Theoretical Distributions: Binomial Distribution, Poisson distribution – Basic application

and Normal Distribution – Basic applications.

5. Correlation and Regression

• Correlation and Regression: Scatter diagram

• Karl Pearson’s Coefficient of Correlation

• Rank Correlation

• Probable Error and Probable limits.

• Regression lines

• Regression equations

• Regression coefficients.

6. Index Numbers and Time Series

• Index Numbers: Uses of Index Numbers, Problems involved in the construction of Index Numbers, Methods of construction of Index Numbers.

• Time Series Analysis: Components of Time Series and Calculation of Trend by Moving Average Method.