Basic definitions and properties Flashcards
1
Q
Define the following.
A
2
Q
Define a domain.
A
A domain is a non-empty, open, path connected subset of ℂ
3
Q
What does the following mean?
A
The line integral of f over Ɣ
4
Q
Finish the following equation.
A
5
Q
Prove the following Lemma.
A
6
Q
Prove the following Lemma.
A
7
Q
Define a curve.
A
8
Q
When is a curve called smooth or C1?
A
If Ɣ’ exists and is continuous on [a,b].
9
Q
What is Ɣ’ defined as?
A
10
Q
Define the integral of f along Ɣ.
A
11
Q
What is the reparametrisation of curves Lemma?
A
12
Q
Prove the following Lemma.
A
13
Q
Define piecwise C1-curve / contour.
A
