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Hii sir, I Wants to get the Syllabus of the CALCULUS AND SOLID GEOMETRY Subject Automobile Engineering of the SRM University ?

[Vishal Kotkar]

The SRM University, formerly SRM Institute of Science and Technology, is a deemed university in the state of Tamil Nadu, India. It was founded in 1985 as SRM Engineering College in Kattankulathur, under University of Madras.

the Syllabus of the B.tech Automobile Engineering Subject CALCULUS AND SOLID GEOMETRY is As Follow

UNIT I - MATRICES
Characteristic equation – Eigen values and Eigen vectors of a real matrix –
Properties of Eigen values – Cayley – Hamilton theorem orthogonal reduction of a
symmetric matrix to diagonal form – Orthogonal matrices – Reduction of
quadratic form to canonical form by orthogonal transformations.


UNIT II - FUNCTIONS OF SEVERAL VARIABLES
Function of two variables – Partial derivatives – Total differential – Taylor’s
expansion – Maxima and Minima – Constrained Maxima and Minima by
Lagrangian Multiplier method – Jacobians – Euler’s theorem for homogeneous
function.


UNIT III - ORDINARY DIFFERENTIAL EQUATIONS
Linear equations of second order with constant and variable coefficients –
Homogeneous equation of Euler type – Equations reducible to homogeneous form
– Variation of parameter – Simultaneous first order with constant co-efficient.


UNIT IV - GEOMETRICAL APPLICATIONS OF DIFFERENTIAL CALCULUS
Curvature – Cartesian and polar coordinates – Circle of curvature – Involutes and
Evolutes – Envelopes – Properties of envelopes.


UNIT V - THREE DIMENSIONAL ANALYTICAL GEOMETRY
Equation of a sphere – Plane section of a sphere – Tangent Plane – Orthogonal
Sphere - Equation of a cone – Right circular cone – Equation of a cylinder – Right
circular cylinder.


For more Details you may Contact to the SRM University the contact Details Are given below


Contact Details :
SRM University
Address: SRM Nagar, Potheri, Kattankulathur, Kancheepuram District, Near Potheri Railway Station, Chennai, Tamil Nadu 603203
Customer service: 044 4743 7500