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  #1  
8th September 2015, 04:14 PM
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TNAU UG Syllabus

Can you provide me the syllabus of UG (Under Graduate) B. Tech. (Agricultural Engineering) course of TNAU or Tamilnadu Agricultural University?
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  #2  
8th September 2015, 04:59 PM
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Join Date: Apr 2013
Re: TNAU UG Syllabus

Matrices, Analytical Geometry and Differential Equations (2+1) Theory

Unit-I Matrices:Rank of a matrix – Consistency of linear system of equations – Eigen value problem – Eigen values of a real matrix – Characteristic equation – Properties of eigen values and eigen vectors – Cayley – Hamilton theorem (without proof) – Similarity transformation (concept only) – Orthogonal matrices – Orthogonal transformation of a symmetric matrix to diagonal form – Reduction of quadratic form to canonical form by orthogonal transformation.

Unit -II Three Dimensional Analytical Geometry: Direction cosines and ratios – Angle between two lines – Equations of a plane – Equations of a straight line – Coplanar lines – Shortest distance between skew lines – Sphere – Tangent plane – Plane section of a sphere – Orthogonal spheres.

Unit-III Geometrical Applications of Differential Calculus: Curvature – Cartesian and polar coordinates – Centre and radius of curvature – Circle of curvature – Involutes and evolutes – Envelopes – Properties of envelopes and evolutes – Evolute as envelope of normals.

Unit -IV Functions of Several Variables: Functions of two variables – Partial derivatives – Total differential – Taylor’s expansion – Maxima and minima – Constrained maxima and minima – Lagrange’s multiplier method – Jacobians – Differentiation under integral sign.

Unit -V Ordinary Differential Equations: Simultaneous first order linear differential equations with constant coefficients – Linear differential equations of second order with constant and variable coefficients – Homogeneous equations of Euler type-reducible to homogeneous form – Method of variation of parameters.







for more details here i am giving pdf file
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File Type: pdf TNAU UG Syllabus.pdf (1.48 MB, 476 views)


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