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 | |
Books:
Latest editions to be adopted
- Mathematics for Pharmacy Students (Vol.I), Gujar K. N., Bhavale Ashok, Career Publication.
- Mathematics for Pharmacy Students (Vol.II), Gujar K. N., Bhavale Ashok, Career Publication.
- Fundamentals of Statistics, Gupta S.C., Himalaya Publication.
- Integral Calculus, Shanti Narayan, S. Chand Publication.
- Differential Calculus, Shanti Narayan, S. Chand Publication.
- Textbook of Applied Mathematics, Vols. I and II, Warlikar, P. N., Pune Vidyarthi Griha Prakashan.
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