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Hi guys and girls... In this post, i have provided you the syllabus for Mathematics III subject. The syllabus that i have posted for this particular subject is only for Reg 2004 and this should be followed only by Automobile engineering students. Make use of this syllabus and also refer this site to your friends, so that others can also able to get benefit from this site. In my upcoming posts, I will try to post syllabus for other subjects and other branches too... So stay in touch.

MA1201(Mathematics III)

1. PARTIAL DIFFERENTIAL EQUATIONS 9
Formation of partial differential equations by elimination of arbitrary constants and arbitrary functions – Solution of standard types of first order partial differential equations – Lagrange’s linear equation – Linear partial differential equations of second and higher order with constant coefficients.

2. Fourier Series 9
Drichlet’s conditions – General Fourier series – Odd and even functions – Half range sine series – Half range cosine series – Complex form of Fourier Series – Parseval’s identity – Harmonic Analysis.

3. Boundary value problems 9
Classification of second order quasi linear partial differential equations – Solutions of one dimensional wave equation – One dimensional heat equation – Steady state solution of two-dimensional heat equation (Insulated edges excluded) – Fourier series solutions in Cartesian coordinates.

4. Fourier Transform 9
Fourier integral theorem (without proof) – Fourier transform pair – Sine and
Cosine transforms – Properties – Transforms of simple functions – Convolution theorem – Parseval’s identity.

5. Z -TRANSFORM AND DIFFERENCE Equations 9
Z-transform - Elementary properties – Inverse Z – transform – Convolution theorem -Formation of difference equations – Solution of difference equations using Z - transform.