Lecture 3: Mathematical preliminaries Flashcards
1
Q
What is a scalar
A
A quantity that can be represented by a single number, such as mass.
2
Q
Write down the full form of grad.
A
(d/dx,d/dy,d/dz)
3
Q
Write down the full form of divergence
A
(dux/dx) + (duy/dy) + (duz/dz)
4
Q
Material derivative?
A
is a measure of the time rate of change of some quantity when movement in space is also involved.
5
Q
What does positive divergence indicate?
A
dilatation or a source.
6
Q
What does a negative divergence indicate?
A
plughole.
7
Q
write down the taylor series.
A
f(x) = f(a) + f’(a)(x-a) + f”(a)(x-a)^2/2! + f”‘(a)(x-a)^3/3!
8
Q
write down eulers formula
A
e^itheta = cos(theta) + isin(theta)
