As you are looking for BTech Semester 1 & Semester 2 Syllabus of Kannur University , so on your demand I am providing same for you:

2K6 EN101: ENGINEERING MATHEMATICS I
2 hours lecture and 1 hour tutorial per week
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
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.

Attached Files

BTech Semester 1 & Semester 2 Syllabus of Kannur University.doc (61.0 KB, 94 views)