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"cis" in 4unit maths (1 Viewer)

RealiseNothing

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I haven't come across a question in 4u which required differentiating / integrating complex numbers, but you most certainly can. The 'i' is actually treated as a constant value.
Yes but:

1) It's not in the syllabus

2) It's not as simple as calculus over the real field
 

Chlee1998

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Yes but:

1) It's not in the syllabus

2) It's not as simple as calculus over the real field

Yes, i do know, and just want to clarify that I never said that it was simple, nor that it was in the syllabus. All I said was that it can be done
 

braintic

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Yes but:

1) It's not in the syllabus

2) It's not as simple as calculus over the real field
Why can't f(t) + i g(t) just be treated as a parametrization of a curve?
Differentiation would then belong to the syllabus.
 

Kurosaki

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Apparently:

Things to do with differentiability change. Integration won't be exactly the same either. Also, if you get a third variable involved with the real and imaginary parts, or if vectors start popping out, you might need to use partial derivatives to do things correctly. (Last one rarely happens, but it still is possible).
(I asked my friend about calculus on complex numbers once and he replied with that)

No idea what that means though with 'differentiability change'.
 
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