Answer:
The first part of the sentence is correctly capitalized, but the list of subjects is not: English should be capitalized.
Step-by-step explanation:
Names of disciplines or school subjects are not usually capitalized. However, if the name of the subject happens to be the name of a language -English, in this case-, is always written with a capital letter.
Therefore, the correct version of this sentence would be: This year's freshmen will be required to take more English, science, and mathematics.