Lowercase is for general things that are NOT a name. So use lowercase for both words, because they are common nouns: Last week I attended a lesson about biology at our university. The subject of the lesson was biology, and you attended the lesson at your/our university. You can capitalize 'biology' if you consider it to be the particular name of a course (Biology 101) or a name of a discipline: Human Biology. I am studying for a degree in Human Biology. If you do not consider it to be a name, use lowercase: I read a book about human biology. I attended a lecture on human biology at our university. University is not capitalized unless the name of the university is actually Our University! (You write the tuition check to Our University, just as you might for Harvard University.) For more information: https://www.umuc.edu/writingcenter/writingresources/capital.cfm

Here are the rules of capitalisation http://grammar.yourdictionary.com/capitalization/10-rules-of-capitalization.html

Days of the week Months of the year Titles before name Doctor House, General Caeser Family members Aunt, Uncle, Dad, Mom Nationalities He's Brazilian and he speaks Spanish. Brands Youtube, Apple, Ford