# Mathematics and Statistics MU BPH_C_406_T

## Mathematics and Statistics

 No. Details Hours 1 Calculus: Differentiation 5 Introductions, Derivative of a function, Derivative of a constant, constant and a function, sum or difference of two functions, product/quotient of two functions(product/quotient formula),Derivative of   w.r.t x,,   , Successive differentiation, Lagrange’s and Rolle’s Mean Value Theorems(Statements only), Taylors and Maclaurins Series with application. 2 Analytical Geometry: Integration 5 Definition, standard formulas, rules of integration, method of substitution, integration by parts, definite integration, Application(determination of the length of the curve, area and volume) 3 Differential Equations 4 Formation of differential equations, solution of first-order and first-degree equation, linear differential equations of higher order with constant coefficients. 4 Determinants and Matrices 4 Properties of determinants and application of Cramers method, types of matrices, inverse of matrix, rank of matrix. Statistics 5 Measurement of Central Tendency 4 Arithmetic Mean, median and mode 6 Measures of Dispersion 7 Range, quartile deviation, mean deviation and standard deviation, coefficient of variation, probability, Binomial, Poisson and Normal distribution, Fitting of curves by the method of least squares{Y= a + bX, Y=   , Y=   } 7 Sampling distribution for mean and proportion 7 Test of hypothesis for specified values of mean and proportion for large samples, Testing equality of two means and proportions, Students “t” test for single sample and paired observation, F-test and analysis of variance, testing of attributes, Chi-square distribution. Total 36

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