Re:The Mysterious Disappearance of a Revolutionary Mathemati...
by fgh on Wednesday May 11, 2022 @02:27PM
(#31343913)
Does this include the full machinery to prove the necessary theorems or are these basically practical courses?
Re:The Mysterious Disappearance of a Revolutionary Mathemati...
by zmgsabst on Wednesday May 11, 2022 @02:47PM
(#31344138)
Those 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).
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.