Lecture Notes || SNS Courseware

Lecture Notes

UNIT 1:

Double integration (Cartesian co-ordinates)

Change of order of integration

Triple Integration (Cartesian co-ordinates)

Applications of double integral (Area)

Applications: Volume as triple integrals and solids of revolution.

UNIT 2:

INTRODUCTION VECTOR ALGEBRA

DIVERGENCE AND CURL

GREENS THEOREM

STOKES THEOREM

GAUSS DIVERGENCE THEOREM

UNIT 3:

Derivative of f(z)- Analytic function

Cauchy Riemann Equation problems

Harmonic Conjugates

Construction of Analytic function

Bilinear Transformation

Conformal mapping

UNIT 4:

Cauchy’s integral theorem