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Old December 6th, 2016, 10:19 AM
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Join Date: May 2011
Default Re: Kannur University B Tech S1S2 Syllabus

The syllabus of combined I & II Semesters of B. Tech. Degree Programme offered by Faculty of Engineering of Kannur University is as follows:


Module I: Ordinary Differential Equations (16 hours)
A brief review of the method of solutions first order equations – Separable , homogeneous and linear
types – Exact equations – Orthogonal trajectories – General linear second order equations- homogeneous linear
equation of the second order with constant coefficients- Fundamental system of solutions – Method of variation
of parameters – Cauchy's equation.

Module II: Laplace Transforms (17 hours)
Gamma and Beta functions – Definition and simple properties – Laplace transform – Inverse transform –
Laplace transform of derivatives and integrals – Shifting theorems – Differentiation and integration of
transforms – Transforms of unit step function and impulse function – Transforms of periodic functions –
Solutions of ordinary differential equations using Laplace transforms.

Module III: Vector differential calculus (18 hours)
Functions of more than one variable – Idea of partial differentiation – Euler's theorem for homogeneous
functions – Chain rule of partial differentiation – application in errors and approximations. Vector function of
single variable - differentiation of vector functions Scalar and vector fields – Gradient of a scalar field –
Divergence and curl of vector fields – Their physical meanings – Relation between the vector differential

Module IV: Fourier series and harmonic analysis (15 hours)
Periodic functions – Trigonometric series – Euler formulae – Even and odd functions – Functions having
arbitrary period – Half range expansions – Numerical method for determining Fourier coefficients – Harmonic
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