Introduction, Fundamental Principles of counting

Permutation I

Circular, Restricted permutation

Combination

Introduction,Binomial theorem

Binomial Coefficients and their Properties,Application of Binomial Theorem for Approximation

Exponential and Logarithmic Function and Series,Expansion of e^x,a^x and log(1+x)

Examples on Binomial Theorem (Binomial Coefficients, Application of Binomial Theorem,General Term)

Introduction,Binary Operation and its Properties

Composition table or Operation Table or Cayley's Table,Examples of Binary operations

Algebraic Structures,Group, Examples on Group

Groups with elements other than numbers,Permutation and Matrix group,Example

Elementary Properties of Group, Uniqueness of identity element,Uniqueness of inverse element,Cancellation law

Central Tendency, Arithmetic Mean, Partition Values

Median,Quartiles,Mode,Measures of Dispersion

Types of Measures of dispersion,Range, Quartile Deviation, Mean Deviation

Standard Deviation, Variance

Coefficient of Variation , Numerical Problems on Measures of Dispersion ( Range , Quartile Deviation , M.D., S.d., Variance)

Skewness with Example

Correlation

Regression

Regression Contd., Important problems Correlation and Regression

Introduction, Basic Terms Used in Probability

Definition of Probability,Permutation and Combination,

Conditional Probability, Two Basic laws of Probability

Binomial Distribution

Examples on Probability(Conditional Probability, Total probability,Compound Probability)

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