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Partial differential equations: classification; applications.<br />

Vectors: rules of the game with the vectors; applications.<br />

Matrices and determinants: Characterization; rules of the game with matrices and<br />

determinants; systems of linear algebraic equations and their solutions; characteristic<br />

roots of matrices; applications.<br />

Methods of analysis: Averaging and scaling methods, numerical analysis, finite element<br />

method, Monte Carlo analysis, spatial variability, stochastic methods, Fourier<br />

Analysis, perturbation, iterative and optimal techniques; applications.<br />

Probability: Probability and probability distributions; applications<br />

Statistics: univariate statistics- mean, standard deviation, variance, coefficient of<br />

variation; multivariate statistics- correlation, regression, covariance, applications.<br />

Practical<br />

Use of simple log and semi-log graph papers; use of logarithms and logrithmic tables;<br />

plotting linear and log graph; trignometric functions and relations; data representation<br />

as pie, bar and histograms; Statistical data analysis-averages, standard deviations,<br />

simple correlation coefficient.<br />

Suggested Readings<br />

Crank, J., Martin, H.G. and Melluish, D.M. 1980. Mathematics for Biological Sciences,<br />

Oxford University Press.<br />

Eason, G, Coles, C.W and Gettinby, G, 1980. Mathematics and Statistics for<br />

Bio<strong>science</strong>s, Ellis Harwood Ltd.<br />

Vashistha, A.R. 1991. Modern Algebra, Krishna Prakashan Mandir, Meerut<br />

Panse, V.G and Sukhatme, P.V. 1985. Statistical Methods for Agricultural Research,<br />

4th edn. ICAR, New Delhi.<br />

Ray, M and Sharma, H.S. 1970. Mathematical Statistics, Ram Prasad and Sons, Agra<br />

Scheild, Francis. 1983. Theory and Problems of Numerical Analysis, McGraw Hill.<br />

33

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