**DESCRIPTION OF COURSES**

**AP 504 MATHEMATICS IN AGRICULTURE (3L+0P) I**

**Objective**

To educate about the basic mathematical techniques which are used in agricultural physics studies.

**Theory**

UNIT I

Functions, limits, continuity, linear equations, non-linear equations, polynomials, infinite series and Taylor series.

UNIT II

Vectors, matrices and determinants, inversion of matrices, Eigen values and Eigen vectors, Orthogonality, Grahm-Schmidt processes, least square problems.

UNIT III

Differentiation, integration, areas, partial differential equations, applications, solutions to differential and integral equations.

UNIT IV

Systems of coordinates, cartesian, cylindrical, spherical and polar coordinates, three dimensional geometry, relative motion of frame of reference.

UNIT V

Probability, probability distributions and applications, Curve fitting, regression and correlation, linear and non-linear.

UNIT VI

Geo-statistics, averaging and scaling methods, Fourier analysis, numerical approximations, numerical analysis, finite element method, Monte Carlo analysis, stochastic methods, iterative and optimal techniques.

**Suggested Readings**

- Advanced Engineering Mathematics by C. Ray Wylie.
- Advanced Mathematics for Engineers by H.W. Reddick.
- Any book on Mathematics for graduates Mathematical Statistics by M. Ray & H.S. Sharma
- Statistics for Geoscientists- Techniques and Applications by S.K. Pal