The official names of courses are capitalized and italicized; general references are not. Academic semesters should not be capitalized except in the titles of.
Capitalization is used, I think, because "Chemistry" is a subject or course title, and not just chemistry in general. You might, perhaps informally.
Typically, job titles are capitalized on resumes when you're listing your to “ Capitalize the names of actual courses, schools, and subjects. The first word and any proper nouns in a title, heading, or subheading. Avoid embarrassing typos and insulting grammar errors in your professional communications. When to Worry About Abdominal Pain. Capitalization is much discussed and debated, if you put the word into the Dictionary Look-Up box, you will find many threads on the subject in various contexts. The Cat in the Hat book title. Get Help with LEO.