Mathematics-II (3110015)  


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