Abstract
Geometry and Analysis have been around for centuries. Technological software packages have helped us in teaching, learning and research in recent years. In this talk, we will show why exploring mathematics with technology should be a FACT-Fun, Accessible, Challenging and Theoretical.
a) Many examples from calculus to advanced calculus will be demonstrated with the help of dynamic geometry software and CAS.
b) We will see when to incorporate various software packages so mathematical problems can be made accessible to most but challenging to some.
c) A shrinking sphere problem, Mean Value, Cauchy Mean Value Theorems and their converses, Taylor Theorem, and etc. will be explored.