Ordinary Differential Equations (ODEs): Basic concepts. First order ODEs: Separation of variables, homogeneous equations, exact equations, integrating factors, linear and Bernoulli’s equation.Higher order ODEs: Linear equations with constant coefficients, Euler’s equations. Initialandboundaryvalueproblems. Systems of ODEs.

Partial Differential Equations (PDEs): Basic concepts,general solution of special cases.Introduction to Fourier series, application in the separation of variables.

Laplace and Fourier transfoms: Introduction, application in the solution of ODEs and PDEs.