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I am curious why a curriculum in the US includes four courses on calculus. Why isn't this just part of maybe three analysis courses for undergraduate studies?
by fgh 4y ago
I am curious why a curriculum in the US includes four courses on calculus. Why isn't this just part of maybe three analysis courses for undergraduate studies?
- zmgsabst 4y agoMy university had quarters, not semesters, but: 1. Derivatives 2. Integrals 3. Applications — function approximation; solids of rotation; vectors; etc. 4. Multivariate — partial derivatives, multiple integrals, etc. Glancing at a nearby community college’s course catalog, they have similar split.
- fgh 4y agoDoes this include the full machinery to prove the necessary theorems or are these basically practical courses?
- zmgsabst 4y agoThose are practical courses, meant to prep for linear algebra and differential equations — and various STEM tracks. As I recall, there were some proofs (eg, limits showing derivative rules; limits showing sums for integral rules). We covered all the proofs in real analysis 1 (derivatives; sequences) and 2 (integrals; measure).