Physics 212A Homework #9 Name:
1. The web site http:/webbook.nist.gov/chemistry/fluid/ has thermodynamic data for many fluids and gases. a) Select Xenon as the species, choose saturation properties, temperature increments , and download the data . Use eit
Physics 212A Homework #8 Name:
1. Relations between special functions and hypergeometric functions. a) Make a table for n=1,6 to show that the Legendre functions Pn (1-2x) can be expressed in terms of 2F1[n,n+1,1,x]. See Mathematical Functions-> Hypergeom
Physics 212A Homework #6 Name:
1 a) In Spherical coordinates, calculate
2
r n , and
2
1 r 2 Y2 ,
(see SphericalHarmonicY in Help).
b) In Spherical coordinates, calculate r n r , where r is the unit vector in the r direction.
Div 2 r ^ n, 0, 0 nr
1n
c) In
Physics 212A Homework #3 Name:
1. If f[z] =u[x,y]+ v[x,y] is analytic, and u[x,y]= 3 x2 v[x,y] ? We know u :
u1 3 x2 3 x2 x4 x4 y y 9 x2 y 3 y2 3 y2 6 x2 y2 3 y3 3 y3 y4 y4
x4
y
9 x2 y
3 y2
6 x2 y2
3 y3
y4 , what is
9 x2 y
6 x2 y2
make sure it is harmonic
Physics 212A Homework #2 Name:
1. a)Starting from the Euler relation, derive the expression cot 1 z = Euler relation is E^(I z) = Cos[z] + I Sin[z]
cotz Cos z
z z z z
2
Log
z z
Sin z
TrigToExp
Solve y
cotz, z
Solve:ifun : Inverse functions are being used
Physics 212A Homework #1 Name:
1. Practice in transcribing expressions into Mathematica syntax
a) Find the determinant of this matrix:
( use Insert, Table/Matrix )
Type it in using Insert Table as per suggestion
1 1 1 0 2 1 2 2 3 0 6 4 4 1 7 1
In[14]:=
ma