3rd SEMESTER
10177MA301 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS (Common to all branches) OBJECTIVES The course objective is to develop the skills of the students in the areas of Transforms and Partial Differential Equations. This will be necessary for their effective studies in a large number of engineering subjects like heat conduction, communication systems, electro-optics and electromagnetic theory. The course will also serve as a prerequisite for post graduate and specialized studies and research. UNIT 1 .FOURIER SERIES Dirichlet’s conditions – General Fourier series – Odd and even functions – Half range sine series – Half range cosine series – Complex form of Fourier Series – Parseval’s identify –Harmonic Analysis. UNIT 2 . FOURIER TRANSFORMS Fourier integral theorem (without proof) – Fourier transform pair – Sine and Cosine transforms – Properties – Transforms of simple functions – Convolution theorem – Parseval’s identity. UNIT 3. PARTIAL DI...