Agricultural Engineering – AG Matrices and Determinants, Systems
of linear equations, Eigen values and eigen vectors. Limit,
continuity and differentiability; Partial Derivatives; Maxima
and minima; Sequences and series; Test for convergence; Fourier
series. Gradient; Divergence and Curl; Line; surface and volume
integrals; Stokes, Gauss and Green’s theorems. Linear and non-
linear first order ODEs; Higher order linear ODEs with constant
coefficients;Cauchy’s and Euler’s equations; Laplace transforms;
PDEs- - Laplace, heat and wave equations. Probability and
Statistics: Mean, median, mode and standard deviation; Random
variables; Poisson, normal and binomial distributions;
Correlation and regression analysis. Solutions of linear and
non-linear algebraic equations; integration of trapezoidal and
Simpson’s rule; single and multi-step methods for differential
equations. FARM MACHINERY AND POWER Sources of power on the
farm-human, animal, mechanical, electrical, wind, solar and
biomass; bio-fuels; design and selec