I have got 16 years experience as an Assistant professor in Engineering college teaching engineering math and statistics Differential Equations, Statistics, Quadratic equation & Polynomials, Inequalities, Determinants & Matrices, Sequence & Series, Complex Numbers, Geometry, 2 Dimensional Geometry & 3 Dimensional Geometry, Permutation & Combination, etc.
Second order non- homogenous differential equations with constant coefficients- Differential equations with variable coefficients- method of undetermined coefficients-method of Variation of parameters-Solving Damped forced oscillations and LCR circuit theory problems.
Formation of partial differential equations – Singular integrals — Solutions of standard types of first order partial differential equations – Lagrange’s linear equation-Method of separation of variables
Definition- Properties of Laplace transform-Laplace transform of standard functions - Laplace transform of periodic functions-Unit step function-Impulse function. Inverse Laplace transform-Partial fractions method and by Convolution theorem.
Solution of ODE’s – Non-homogeneous terms involving Heaviside function, Impulse function - Solving Non-homogeneous system using Laplace transform - solution to First order PDE by Laplace transform.
Fourier series - Euler’s formulae- Dirichlet’s conditions - Change of interval - Half range series – RMS value – Parseval’s identity
Complex Fourier transform - properties - Relation between Fourier and Laplace TransformsFourier sine and cosine transforms – Parseval’s identity- Convolution Theorem and simple applications to solve PDE
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