r_
/l &g WW5 [AC/0i? Galff OFCQOY
Name:
Problem 1. (10 points) Answer each of the following true or false and give a brief explanation
a: (2 pts) If A and B are both 71. X n dimensional matrices satisfying A - B = B - A, then any eigenVECtOr
o A is also
Phys 227 Homework 1; Due Monday April 6
Boas Chapter 1
Sec. 9, # 14, 16, 17
Sec. 10, #4, 5, 14, 16
Sec. 13, #9, 13, 17, 35
To Sec. 13, #17 add the following: Plot on one graph the following four functions of x from
1.5 to 1.5:
a) ln
1+x
1x
,
b) the rst te
Homework 2 Due Monday April 13
The problems to be graded (worth 10 points) are denoted by
A problem worth 20 points is denoted
1 . (a) Consider the electric quadrapole which consists of the following four charges: a charge
+e located at x = a, a charge +e
Phys227, Spring 2015
Problem Set 4 (Due May 11)
1. Suppose that the matrix M takes the vector v into the vector w, that is w = M v. I
want to know what the matrix which represents the same operation looks like in another
frame. Let the orthogonal matrix w
Homework 6 Due Friday May 22
Boas Chapter 7, Section 12. Problems 4, 6, 7, 24(a).
Please use my denitions of the Fourier transforms
1
f (x) =
2
1
g(k) =
2
g(k)eikx dk
f (x)eikx dx
Note that the relation between Boas and me can be written fBoas (x) = fS
Phys227, Spring 2015
Problem Set 7 (Due June 3)
Boas Chapter 4, Sec 9. problems 1 and 6.
Also the following:
Chemist often use the enthalpy, H, in which the variables are the entropy S, the number
of particles N , and the pressure p. Construct the enthalp
Ashley Milholland
Physics 227
Computational Homework 4
Language: Mathematica
1. (a) Consider the system of equations:
A - 2b - 6c + 6d = 1
3a 3b 8c + 6d = 2
3a b + c 5d = 7
5a 4b 7c + 2d = 3
Use Solve[] to find a, b, c, d which solve this system
(b)
(i) F
Ashley Milholland
Computational Homework #3
25 April 2016
I.
A.
Create a function called MyDet[] which finds the determinant of a 3x3 matrix
B.
Create Matrix A and find the determinant
C.
Exchanging First and Second Columns. What Happened? Is it Correct?
Ashley Milholland
Physics 227
Computational Homework 8
31 May 2016
Language: Mathematica
1. The paradigmatic pendulum
Theta=p/ml^2
P=-mglsin(theta)
M=1kg
L=1m
G=10m/s^2
Theta=2/rad
(a,) Solve and plot p(t) and theta(t) on separate graphs for time 0 to 10
Physics 227, Fall 2016
Final Exam-A
12/12/16
This exam consists of 5 problems; do them all. You may use a calculator . Alternatively, you may leave
your final answer in calculator-ready form. You may not use a laptop computer, books, phone, notes.
Show yo
Name o/ubov) St. [D No. Phys. 227 817
(print) Last First
20 pts total Quiz 6 May 18th, 2017
1. (5 pts) Using the total differential for error analysis:
The acceleration due to gravity, 9 may be found by measuring the period T of a pen-
dulum using the f
Monday, October 3, 2016
12:19 PM
A constant function and e^x are walking on Broadway. Then suddenly the constant function sees a differential
operator approaching and runs away. So e^x follows him and asks why the hurry. "Well, you see, there's this
diffe
A mathematician organizes a lottery in which the prize is
an infinite amount of money. When the winning ticket is
drawn, and the jubilant winner comes to claim his prize,
the mathematician explains the mode of payment: "1
dollar now, 1/2 dollar next w
Name
(print)
St. ID No.
Last
Phys. 227 A16
First
20 pts total
Quiz 5
(SHOW YOUR WORK)
For problems 1-2 Consider the matrix
a b
M=
c a
November 10th, 2016
1. (3 pts) Find the necessary and sufficient condition on a, b and c such that this matrix
is hermiti
SOLUTIONS
Physics 227, Autumn 2015
Final Exam
12/14/15
Note: for full credit you needed to write your final answer in the simplest possible form,
and give a correct explanation for your reasoning.
Problem 1.(14 pts)
where i, j, and k are unit vectors in
Name:_Solutions_
Final Exam Physics 227 Autumn 2008 12/10/08
This is a CLOSED book exam. Do NOT open the exam until 2:30 PM. Exams will
not be accepted after 4:30 PM. Be certain to indicate what techniques you have used
to solve each question (but do not
Name
(print)
20 pts total
St. ID No.
Last
Phys. 227 A16
First
Quiz 6
November 17th, 2016
A vector space is a set of elements, called vectors, together with a rule for adding
two vectors and a rule for multiplying an vector by a scalar (scalars can be eith
Name
(print)
20 pts total
St. ID No.
Last
Phys. 227 A16
First
Quiz 5
(SHOW YOUR WORK)
November 10th, 2016
1. (10 pts) Find the equation for the plane containing the points (0,1,1), (2,1,3), and
(4,-1,1)
PLEASE TURN OVERquiz continues on the back.
2. [4 pt
Quiz 1
Phys. 227
Name
(print)
Oct. 6 , 2016
SHOW YOUR WORK
St. ID No.
Last
Phys. 228 W16
First
(20 pts total)
Convergence of series. For each of the following series determine
whether they are absolutely convergent, conditionally convergent or divergent.
. QWQO. Soucrlorv
Name St. ID No. Phys. 227 A12
(print Last First
0 pts Quiz 0 show your work) September 26, 2012
1. (0 pts) . Find the following limits (possibly using lHopitals rule).
limn_,oo JLnl'l 2
m '
_ VL _L
new . 1-
V4mt
I )
.limxuoaclnr) C
Name jD/m St. ID No. Phys. 227 317
(print) Last First
20 pts total Quiz 4 (SHOW YOUR WORK) Star Wars Day (May
the Fourth be with you), 2017
1. (10 pts) Find the equation for the plane containing the points (0,1,1), (2,1,3), and
(4,0,1)
PM? 1W V (MW
[01m ,
Name SO/Klwm St. ID No.
(print) Last First
20 pts total Quiz 5 SHOW YOUR WORK May 11th, 2017
1. (10 pts) Unitary matrices. Recall that a unitary matrix U satises U l = U "1, where
U l is the complex conjugate of the transpose of U and U 1 is the inverse o
Name cfw_0 la 71mm St. ID No. Phys. 227 817
(print) Last First
20 pts total Quiz 7 June 1, 2017
o 1. (5 pts) Find the direction in which the function (x, y) = 22/31 is increasing most
rapidly at the point :1: = 1, y = 2. Express your answer as a unit ve
Quiz 1 Phys. 227 Agril 6, 2017 SHOW YOUR WORK cfw_20 gts]
Name 3,; [D No. _ Phys. 227 817
E.
(prz'nt) Last First
Convergence of series. For the following series determine Whether they are absolutely con-
vergent, conditionally convergent or divergent. Exp