ENGINEERING MATHEMATICS-I
FULL MARKS: 100 TIME: 3 HOURS

1.Ordinary Differential Equations

Differential equations of first order, Physical applications, Linear differential equations, Homogeneous second order linear equations with constant coefficients, spring mass systems, Non-homogeneous second order linear equations, variation of parameters, Normal form, Change of dependent and independent variables.

2. Special functions

Properties of power series solutions for ordinary differential equations, the method of Frobenius, Gamma function, Laugure polynomials, Root differing by an integer, Bessel's equation, Non-homogeneous equations.

3. Laplace Transforms

The Laplace Transform (L.T.) L.T. of Derivatives and Integrals, Derivatives and Integrals of L.T's, L.T. of Periodic functions, Inverse Laplace TRansforms, Convolution Theorem, Solutions of differential equation, Special Techniques.

Text Book

Mathematical Methods by M.C. Potter and J.Goldberg (Prentice Hall) - Chapters: 1, 2, 3 (relevant portions).

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