RGPV / RGTU B. PHARMACY ADVANCED MATHEMATICS – PY 201 SYLLABUS
UNIT-I
Differential equations and its Applications: Revision of integral calculus, definition and formation of differential equations, equations of first order and first degree, variable separable, homogeneous and linear differential equations and equations reducible to such types, linear differential equations of order greater than one with constant coefficients, complementary function and particular Integral, Simultaneous linear differential equations, pharmaceutical applications.
UNIT-II
Laplace Transforms: Definition, transforms of elementary functions, properties of linearity and shifting, inverse Laplace transforms, transforms of derivatives, solution of ordinary and simultaneous differential equations.
UNIT-III
Biometrics: Significant digits and rounding of numbers, data collection, random and non-random sampling methods, sample size, data organization, diagrammatic representation of data, bar, pie, 2-D and 3-D diagrams, measures of central tendency, measures of dispersion, standard deviation, standard error of means, coefficient of variations, confidence (fiducial) limits.
UNIT-IV
Probability: probability and events, Bayes theorem, probability theorems, probability distributions,elements of binomal and poisson distribution,normal distribution curve & properties,
UNIT-V
Correlation and regression: Method of least squares, statistical inference, Student’s and paired t-test, F-test and elements of ANOVA, kurtosis and skewness, Applications of statistical concepts in Pharmaceutical Sciences.
BOOKS RECOMMENDED:
1. Paria G., Ordinary Differential Equations with Laplace transform, Scholar’s Publications, Indore.
2. Paria G., Differential Calculus, Scholar’s Publications, Indore.
3. Paria G., Integral Calculus, Scholar’s Publications, Indore.
4. Paria G., Statistics and Stochastic Process Part I and II, Scholar’s Publications, Indore.
5. Baisnab A, and M Jas, Introduction to statistics.
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