Course contents: Introduction to differential equations, modeling of physical systems with differential equations, first order differential equations, linear differential equations with constant coefficients, the Laplace transform, linear systems of differential equations, partial differential equations and the method of separation of variables.

At the end of the course the student will be able to:

• solve first order differential equations (separable, homogeneous, linear)
• solve linear differential equations with constant coefficients using the characteristic polynomial and Laplace transforms
• solve linear systems of ordinary differential equations
• apply the separation of variables for the solution of partial differential equations

Assessment: 3 hours written exams. A mid-term exam with weight 40% is also possible.