1
Solutions to Problem Set 2, Physics 350, Spring 2014
1. The Taylor series for cosine about x0 = 0 is
cos x ≈ 1 −
x2 x4
x6
+
−
+··· .
2
24 720
(1)
Since the series contains only even powers of x we must use the second
form given in the assignemnt of the
Solutions to Problem Set 3, Phys 350, Spring 2014
1
1. Here is the Maple notebook I used to solve this problem, reproduced
inline:
Solutions to Problem Set 3, Phys 350, Spring 2014
2
2. Here is the Maple notebook I used to solve this problem, reproduced
Sample solutions for Physics 350 Lab #1 (Spring 2014)
> restart;
the above line just resets all the variables and clears the memory, useful if I rerun the entire script.
1. I am asked to determine the value of the given indefinite integral. So I perform t
Solutions to Problem Set 1, Phys 350, Spring 2014
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Problem 1
We are to ﬁnd the Taylor series expansion of the function f (x) = x1/3 about
the point x0 = 8. Recall that the Taylor series expansion is given by
∞
f (x) =
n=0
f (n) (x0 )
(x − x0 )n .
n!
(1)
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Physics 350 Midterm Topic Summary (Spring Semester 2014)
Below is a listing of topics that you may expect to see on the midterm. This is
only meant as a guide. The presence of a topic on this list does not guarantee
that it will be on the midterm.
1. Ta
Sample Solutions for Lab 2: Taylor Series and Complex
Arithmetic (Spring 2014)
> restart;
Again reset the variables in memory.
Part I) Taylor Series:
1. Start with the problem of finding the Taylor's series for the exponential turncated at the 15th order
Lab 3: Spherical Coordinates and Coordinate Transforms
Sample Solution (Spring 2014)
As per usual, we will start by clearing Maple's memory:
> restart;
In this week's lab we are going to be making spherical plots, so I am going to load the "plots" package
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Physics 350 Midterm Examination
Spring Semester 2013
Instructions:
• This is a closed-book/note examination which should be completed
during the 2-hour time period normally scheduled for lab.
• There are a total of seven problems on this exam:
– You do