Kannur University B Tech First Year Syllabus

I am doing my engineering from the Kannur University, & now I am searching its 1st year syllabus Engineering Mathematics to study for the exams?

[Pathak]

Kannur University offers B Tech. I am giving you complete syllabus for B.Tech in Engineering Mathematics:

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 transforms 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
operators.

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 Analysis.