Many aspects of Financial Economics are technical in nature and require mathematical formulation to solve them.Extensive use of mathematical methods in Finance has led to the development of Mathematical Finance - a distinct subgroup of mathematical and statistical rules and theorems that deal with particular problems arising in financial analysis. The purpose of this document is to demonstrate how Maple - with its powerful analytical engine and robust numerical routines - can be used to tackle various topics in Financial Economics / Mathematics, and lead to elegant solutions through its symbolic and numerical interfaces.