I would write it in lower case. There are probably other style guides that would say to make it a capital. is Art of the Late Renaissance," the proper name of a course listed in a course catalog, I would capitalize it, but "science" is too general to merit a capital for me.
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Vincent Teo(a) Her favourite subject is Science / science.As a subject, the word should not be capitalised.
Vincent TeoWhen should we write in capital letter? In what kind of situation?Department of Science