Course Syllabus

Introduction

Linear Diff. Eqn. of the second order

Linear homogenous equations

Liner non-homogenous equations

Method of undetermined coefficients

Introduction to Laplace Transform

Linearity of Laplace Transform

First Shift Theorem

Multiplying with t Theorem

Laplace Transform of 1st & 2nd derivative

Inverse Laplace Transform

TEST 1

7 JUN 2012

Solving diff. eqns. using Laplace Transform

Introduction to function of two variables.

1st order & higher order partial derivative

The Chain Rule

Finding max, min & saddle of function of two variables

The geometrical meaning of double integrals.

Evaluation of double integrals over rectangular and non-rectangular regions.

sketching the regions.

Reversing the order of integration

TEST 2

21 JUN 2012

Double integrals in Polar Coordinates

Changing Cartesian into Polar Integrals

Solving the resulting integrals

Periodic function.

graph of selected functions.

Fourier series expansion.

even and odd function.

TEST 3

5 JULAI 2012