Adverb misplaced

In addition, I think the use of 'benefit' as a transitive verb with 'my business education' as its object does not sound natural. When used as a transitive verb 'benefit' should collocate with a person as its object. Or, change 'benefit' to a noun or adjective.

"Furthermore, the mathematics within the course will benefit me when I pursue a degree in business...."

"Furthermore, the mathematics within the course will be a benefit for my business education..." (Or "a benefit to my...")

"Furthermore, the mathematics within the course will be beneficial for my business education..." (Or "beneficial to my...")

Placing 'further' before 'develop' makes this sentence read better. There is no need for the comma after education. 'Benefit' and 'allow' make up a compound predicate with the single subject, 'mathematics'.

Furthermore, the mathematics within the course will certainly benefit my business education and allow me to further develop my enthusiasm for mathematics.

Shawn makes an excellent point about one of my pet peeves. When I read such a sentence, I think:

Well, my education might benefit, but if I don't benefit, why should I bother with the extra work?