The course provides an introduction to 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.