UNIT 1:
Double Integration in Cartesian Coordinates
Change the order of Integration
PROBLEMS ON CHANGE THE ORDER OF INTEGRATION
Area enclosed by plane of curves
Problems on Area enclosed by plane of curves
Problems on Triple Integral
PROBLEMS ON VOLUME OF SOLIDS
UNIT 2:
INTRODUCTION TO VECTOR CALCULUS ,GRADIENT
Solenoidal and Irrotational
Greens Theorem of Application
Problems on Greens theorem
Gauss Divergence Theorem and Application
PROBLEMS ON GAUSS DIVERGENCE THEOREM
Stokes theorem and Application
Problems on stokes Theorem
UNIT 3:
Introduction to Complex variable, C-R equation
HARMONIC FUNCTION AND HARMONIC CONJUCATE
CONSTRUCTION OF ANALYTIC FUNCTION
PROBLEMS ON CONSTRUCTION OF ANALYTIC FUNCTION
PROBLEMS BASED ON CONFORMAL MAPPING W = C+Z,W=CZ
PROBLEMS ON MOBIUS TRANSFORMATION
APPLICATION TO FLOW PROBLEMS
UNIT 4:
UNIT 5:
INTRODUCTION TO LAPLACE TRANSFORMS
PROPERTIES OF LAPLACE TRANSFORMATION
TRANSFORMS OF PERIODIC FUNCTION
INTEGRALS OF TRANSFORMS , UNIT STEP FUNCTION
INVERSE LAPLACE TRANSFORMS
PROBLEMS ON CONVOLUTION THEOREM
SOLUTION OF LINEAR ODE OF SECOND ORDER
