The course aims to provide students with the knowledge needed to solve differential equations, primarily of the 1st and 2nd order.
Upon successful completion of the course students are expected to be able to:
1. recognize the occurrence of a differential equation in a physical or mathematical problem,
2. solve first-order equations by different methods by understanding the applicability of the respective methods, and solve linear second-order equations, homogeneous and non-homogeneous, and be able to interpret physically the different terms as in the solution produced
3. solve a differential equation with strings and understand the applicability of this method, both as an analytical process generating new functions and as a process of finding approximate solutions
4. solve first-order differential equation systems by applying linear algebra methods, and understand and interpret the behavior and particular features of the solution
understand the importance of the Fourier series, construct it for simple functions by interpreting the Fourier coefficients behavior with that of the function
