Ordinance and Syllabus - Bhagat Phool Singh Mahila ...
Ordinance and Syllabus - Bhagat Phool Singh Mahila ...
Ordinance and Syllabus - Bhagat Phool Singh Mahila ...
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Paper Code: BPL-210Pharmaceutical Mathematics <strong>and</strong> Statistics(Pharmaceutical Mathematics <strong>and</strong> Statistics)L -- T -- P Total Credits: 044 -- -- Total Marks: 100External Marks: 50Internal Marks: 50Paper Objectives:Mathematics is the language of science. The study of mathematics is important as all theequations used in pharmacokinetics <strong>and</strong> pharmaco-dynamics are in the mathematical forms<strong>and</strong> studies of such results are in logarithmic <strong>and</strong> integration forms.UNIT IMatrices <strong>and</strong> Determinants: Definition of matrix, types of matrices, arithmeticoperations on matrices, determinants <strong>and</strong> its expansion, important properties ofdeterminants, solutions of simultaneous equations by Cramer’s rule.Differentiation: Concepts of functions, limits <strong>and</strong> differentiation; differentiation ofst<strong>and</strong>ard functions (without using first principle), including function of a function(chain rule), differentiation of implicit functions, logarithmic differentiation,parametric differentiation, elements of successive differentiation.UNIT IIIntegration: Integration as inverse of differentiation, indefinite integrals of st<strong>and</strong>ardfunctions, integration- by parts <strong>and</strong> substitution methods, formal evaluation of definiteintegrals.Differential equations: definition, formation <strong>and</strong> solution of ordinary differentialequations of first order <strong>and</strong> first degree (variable separable technique only).Laplace transforms: definition, properties of linearity <strong>and</strong> shifting, transforms ofelementary function (without proof) <strong>and</strong> inverse Laplace transforms not involvingEuler’s theorem.UNIT IIIMeasures of central tendency <strong>and</strong> dispersion: Requisites of an ideal measure,arithmetic mean, median, mode, range, mean deviation, st<strong>and</strong>ard deviation,coefficients of variation.Linear correlation: Bi-variant data scatter diagrams, correlation, types of correlation,Karl Pearson’s <strong>and</strong> Spearman’s methods, coefficients of correlation <strong>and</strong> its importantproperties (without proof).Linear regression: Regression, method of least squares, lines of regression,regression coefficients <strong>and</strong> their important properties (without proof).UNIT IVProbability: Events, classical <strong>and</strong> statistical definitions of probabilities, addition <strong>and</strong>multiplication laws of probability, conditional probability, Bayer’s theorem (statementonly) <strong>and</strong> its applications.69
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