In June 1661 Isaac Newton had taken admission in Trinity College of Cambridge University. Research paper of one John Stibel revealed that during that time the teaching system was based on old Aristotel theory which was becoming outdated. Isaac Newton had preference for the thinking of later day philosophies like Descartes, Astronomers, Galileo, Copernicus and Kepler on teaching and learning. It makes the fact simply clear that Isaac Newton wanted to study and learn in a way that did not confirm to the traditional way in practice. Newton had begun to expand into various fields of learning. The mental state of Isaac Newton in the context of his wishes and efforts of that phase shows the volcano of his dormant academic creativity was searching for a fault to erupt. In whatever field of subject Isaac dealt with to test the old principles or laws, amend or redefine them to apply them in the future as fundamental scientific facts.

In 1665 only as a college student Isaac Newton worked to establish the basic principles of ‘Binomial Theorem’. The theorem equated two questions with one answer. Thus, it was Isaac Newton who first of all provided the definition of the Binomial Theorem based on the mathematical theory. This theory was later accepted by the scientific world as ‘Calculus Theory’. After this achievement Isaac had to leave the University in 1665 in the month of April. In London and surrounding areas plague epidemic had broken out and the institutions were closed down to enable people to go to the safer places.

Isaac returned to Woolsthorpe to live with his foster maternal grandma. He stayed there for the next two years. Now he was a 22 year old scholarly young man. His personality reflected his academic and intellectual superiority.
The details of his family members or relatives or domestic events were not recorded by anyone. They have got lost in the course of time. As far as he himself was concerned he used this period productively and fruitfully. He continued his research on Calculus, Optics and Gravitation. Infact an academician or a researcher is never alone. The books and papers are his family. Studying or researching or contemplating are his domestic chores. Isaac Newton had already made a mark in the academic world with Calculus. The teachers and fellow students duly recognized his inventive talent and respected him. While learning at Trinity College Isaac had borrowed a load of books to study during the break. He gleaned each one of those books.
He paid special attention to the subjects of Calculus and Optics during that rural vacation where environment was very conducive for research work. There were few distractions. In 1669 Isaac Newton earned his degree from the Trinity College of Cambridge University. Now he was ready to take a posting and start his professional life and face the real world. A job he needed but not at the cost of furthering his research and education. So he had to be careful about choosing the service.