# Mathematics-II (3110015) Old Code : 2110015

5
Credit
3 + 2 + 0
Lect + Tuto + Pract
Teaching Scheme
70 + 30 + 0
ESE + PA + ALA
Theory Marks
30 + 0 + 20
ESE + OEP + PA
Practical Marks
###### ESE - End Semester Examination, PA - Progress Assessment, ALA - Active Learning Assignments, OEP -Open Ended Problem

Prerequisite
Calculus, Fourier series
Rationale
To compute line and surface integrals. solution techniques of higher order ordinary differential equations, louder integral representation.
Course Outcome
• parametrized the given curve
• compute line integral
• compute Work. Circulation and Flux by line integral
• use fundamental theorem of line integrals
• use Div. Curl
• use Gmen's theorem in the plane
• parametrized surfaces
• compute surface integrals
• use Stoke's theorem
• use Divergence theorem
• use formula of Laplace transform
• use Unit step function, short impulses, Dirac's Delta function
• use Laplace transform to solve ODE
• express in fourier integral representation
• express in fourier cosine integral and fourier sine integral
• solve exact differential equation
• solve first order linear differential equation
• solve bemoulli's equation
• solve some of first order and higher degree equations
• solve homogeneous linear ODES of higher order
• solve Euler - Cauchy equation
• check linear dependence and independence of solutions
• evaluate wronskian
• use method of undetermined coefficients
• usc method of solution by variation of parameters
• solve ODE by power series method
• solve legendre's equation
• use legendre polynomials
• usc frobcnius method
• solve Etessel's equation
• use bessel functions of the first kind and its propenics