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Cool. Seems like a good, quick and dirty run down of all the core concepts. Funny, I don't think I realized it at the time, but is calculus the first time we a
by 40four 7y ago
Cool. Seems like a good, quick and dirty run down of all the core concepts.
Funny, I don't think I realized it at the time, but is calculus the first time we are formally introduced to the concept of a function in math? If so, that gives me a new found respect for calc class :)
- billfruit 7y agoI think the concept of function is normally introduced during teaching set theory rather than calculus.
- p1esk 7y agoI think function is introduced in elementary algebra when dealing with expressions like y = 2x
- gizmo686 7y agoIn elementary algebra, functions aren't really first class objects you can manipulate. That is, if you have f(x) = 2x and g(x)=x^2 , you might ask questions like "what do they evaluate to at A?", or "what is their minimum?", but you wouldn't ask questions like: "what is f + g". Calculus is the first time in the standard sequence when you start manipulating functions as first class objects.
- p1esk 7y agoBut we are talking about introducing a concept of a function. Which is a mapping between values of x to values of y. That's it. No need to manipulate anything.