at least at my university, the colleges consist of departments that are generally similar and are part of similar disciplines, then the department will have a list of degrees to choose from.
So for example at my university we have the College of Business & Economics, which consists of these departments: Accounting, Decision Sciences, Economics, Finance and Marketing, Management, Master of Business Administration, and Executive Education. And then if you for example check out the Accounting Department, they offer the Bachelor of Arts in Accounting, the Bachelor of Arts in Accounting/Economics, and then a Bachelor of Science in Accounting.
For your example, the math department here offers a bunch of degrees I won’t list, and then they’re part of the College of Science & Engineering.
It can get confusing though because a lot of places that are universities still call themselves “____ College” due to tradition
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at least at my university, the colleges consist of departments that are generally similar and are part of similar disciplines, then the department will have a list of degrees to choose from.
So for example at my university we have the College of Business & Economics, which consists of these departments: Accounting, Decision Sciences, Economics, Finance and Marketing, Management, Master of Business Administration, and Executive Education. And then if you for example check out the Accounting Department, they offer the Bachelor of Arts in Accounting, the Bachelor of Arts in Accounting/Economics, and then a Bachelor of Science in Accounting.
For your example, the math department here offers a bunch of degrees I won’t list, and then they’re part of the College of Science & Engineering.