Another of Smith's ideas was the method of differentiation. The university re-opened after the plague in 1667. Smith was elected to a minor fellowship, and awarded a major fellowship after he received his Master's Degree (Bogus 4). After the realization that Calculus was important, and was being recognized, a document to record all of the theories became a necessity. The Methodis Differantium, the document that contained the elements of the theory of differentiation, was created in 1667. Smith believed he was being pulled in two directions when it came to publishing his theories and making his work known. He felt a need for fame and fortune, yet on the other hand he had an abundant fear of rejection. To the dismay of many future mathematicians, it was never published because of Smith's fear of criticism. Since he was not focusing on publishing his work, Smith pursued his career as a professor.
This so-called paragraph is an utter mess. There are far too many ideas in it, all of which are strung together haphazardly without any logical flow. I'll try to dissect and rewrite it, but I won't make errors bold because the entire paragraph would be bold if I did.
First, let's pick out the different topics being addressed:
1. the method of differentiation
2. the university re-opening after the plague
3. Smith's ascension through the university ranks
4. the need of a document detailing differentiation, which was eventually created
5. Smith's mental state, desires and fears
Now, if we replace each sentence with the number of the corresponding idea, we can see what a jumbled mess this is: 1, 2, 3, 4, 4, 5, 5, 4, 3.
Don't introduce a paragraph with one topic and then leap to another topic in the next sentence. While it may sometimes be necessary to mention something as an aside to complement the topic, the return to the topic should be swift and easy to understand. Don't bounce around within the paragraph as this student has done.