The course provides an introduction to the basic analytical concepts and solution procedures. The use of the mathematical software package MAPLE is emphasized. The course is divided into four parts.

Part 1 deals with basic skills in analyzing and solving differential equations and systems of differential equations.

Part 2 introduces basic notions and key analytical approaches to study the stability of a particular solution. Local and global Liapunov functions are introduced.

Part 3 deals with basic skills in analyzing and solving difference equations.

Part 4 focuses on formulating and solving simple dynamical economic problems by introducing classical optimal control theory in continuous time.