QT 1 Syllabus

QUANTITATIVE TECHNIQUES – I (HONOURS)

B.com (hons.) SYLLABUS

UNIT – I

           Algebra: Solution of a quadratic equation – Sum of the roots – Product of the roots – Formation of Quadratic Equation. Arithmetic progression – General terms sum and means of arithmetic progression. Geometric progression – General term. Sum of finite and infinite G.P. Geometric mean. Harmonic Progression – General term and mean.

           Matrix Algebra – Addition – subtraction and multiplication of matrices – transpose of matrix – crameres rule – solution of simultaneous equation using inverse matrix.  Binomial theorem: position of term – binomial theorem.

UNIT – II

           Calculus: Differentiation: (without proof) – Derivative of standard functions – rules of differentiation, sum, difference, product, quotient and function of function, differentiation on one function with respect to another function – criteria for maxima and minima and their applications in economics partial derivations (first order and second order) Successive differentiation (simple problems). (Excluding Trigonometric applications)

UNIT – III

           Definition, Functions and Limitation of Statistics: Collection and classification of data: Tabulation – Presentation of data (graphs and diagrams) Simple bar diagrams, Multiple and subdivided bar diagrams – pie diagrams – histogram – frequency curves, Olive curves, interpolation by graphics method.

UNIT – IV

Measures of central tendency, dispersion, skewness and kurtosis:  Mean, median, mode, geometric   mean, and harmonic mean – merits and demerits of averages – location of median and mode graphically.

Range, quartile deviation, mean deviation, variance and standard deviation – coefficient of variation – merits   and demerits of measures of dispersion – Lorenz curv.

Types of skewness – tests of skewness – measures of skewness (karl pearson’s and bowley’s methods ) – types of kurtosis – measures of kurtosis based on moments.

 

UNIT – V

           Analysis of correlation and Regression: Types of correlation, Karl Pearson’s Coefficient – Rank correlation – concurrent deviations method – probable Error – Interpretation of Regression equation of X on Y on X regression coefficients and their properties.

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