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9th May 2018, 07:52 AM
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Re: CUSAT IT Question Paper

Can you provide me the syllabus of B Tech Instrumentation Technology offered by Department of Instrumentation of CUSAT (Cochin University of Science and Technology) on which the question paper is based?
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9th May 2018, 07:55 AM
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Re: CUSAT IT Question Paper

The syllabus of B Tech Instrumentation Technology offered by Department of Instrumentation of CUSAT (Cochin University of Science and Technology) on which the question paper is based is as follows:

IN 1101 ENGINEERING MATHEMATICS I

Module I

Co-ordinate geometry of two dimensions: Standard equations of parabola, Ellipse and hyperbola, their parametric representations, equations of tangents and normals to these curves, simple properties of these curves, asymptotes of a hyperbola, rectangular hyperbola.

Module II
Co-ordinate geometry of three dimensions: Direction cosiness, planes and straight lines, shortest distance between two skew lines, sphere, cone, right circular cylinder.

Module III
Continuity and differentiability of functions of one variable:
Rolls theorem Mean value theorem, Cauchys theorem, L Hospitals rule for the evaluation of limits of indeterminate forms Theory of algebraic equations: relations between roots and coefficients of an equation, transformations of equations, Descartes rule of signs

Module IV

Functions of two or more variables: Partial differentiation, Eulers theorem for homogeneous function, differentials and their applications, applications in errors and approximations, Jacobians. Maximum minima of functions of two variables (Proof of result not required).

Module V
Definite integrals: Applications of definite integrals in the evaluation of areas, area of surface of revolution, volumes, moment of inertia, length of are, position of center of mass. Multiple integrals: Evaluation of double and triple integrals, volumes and surface areas of solids using multiple integrals.

References:
1. B.S. Grewal Higher Engineering Mathematics Khanna Publishers
2. Erwin Kreyszig Advanced Engineering Mathematics Wiley Eastern
3. S. Balachandra Rao and C.K. Shantha Differentials Calculus Wiley Eastern
4. G.B. Thomas Calculus and Analytic Geometry Addison Wesley.
5. S. Narayanan, Manikavachagom Pillai and Dr. G. Ramanaiash Advanced Mathematics for Engineering
6. N.P. Bali, Dr. Ashok Saxena, N. Ch. Sriman Narayana Iyengar A Textbook on
Engineering Mathematics


Syllabus B Tech Instrumentation Technology CUSAT




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