Week 1 Multi-Variate Functions Flashcards
1
Q
how do we differentiate multi-variate functions
A
partial differentiation
2
Q
what is the Taylor/Maclaurin series used for multi-variate functions
A
express multi-variate functions as a series expansion about a single point
3
Q
when would we use the Maclaurin series over the Taylor series
A
when expanding about the origin
4
Q
what is an area integral
A
integration of a 2D function
5
Q
what is a volume integral
A
integration of a 3D function
6
Q
what is the elemental area and volume in cartesian coords
A
dA = dxdy
dV - dxdydz
7
Q
what is the elemental mass of an object per unit area and elemental mass of an object per unit volume
A
dm = σdA dm = ρdV
8
Q
what is the elemental moment of inertia
A
dI = dmr^2
