AP155: Exercises for Chapters 4 and 5
Exercise 3.1: Quadratic equations
a) Write a program that takes as input three numbers, a, b, and c, and prints
out the two solutions to the quadratic equation ax2 + bx + c = 0 using the
standard formula
b b2 4ac
.
x=

NATIONAL INSTITUTE OF PHYSICS
U.P. DILIMAN CAMPUS
PROBLEM SET NO. 12 (Faradays Law, Inductance and AC Circuits)
Date Due : 10 November 2015 (Tuesday)
1.
The figure shows a uniform magnetic field confined to a cylindrical volume of radius
. is decreasing i

NATIONAL INSTITUTE OF PHYSICS
U.P. DILIMAN CAMPUS
PROBLEM SET NO. 11 (Magnetic Field of a Current and Faradays Law of Induction)
Date Due : 03 November 2015 (Tuesday)
1. A non-conducting rod of mass and length has a uniform
charge per unit length and rota

Mathematical Physics 113
Problem Set 1
National Institute of Physics
(Dated: August 17, 2016)
Deadline: 26 August 2016
I. PARTICLE IN A BOX [30 pts]
~2 2
(x, y, z) = E(x, y, z),
2
What is the potential (r) in the region 0 < r < a?
5 pts
What is the poten

Mathematical Physics 113
Problem Set 4
National Institute of Physics
(Dated: 12 October 2016)
Deadline: 19 October 2016 in class.
I. PARSEVALS RELATION [10 pts]
Let f (x) and F (k) be symmetric Fourier transform
pairs. Prove a special case of Parsevals re

Mathematical Physics 113
Problem Set 2
National Institute of Physics
(Dated: September 2, 2016)
Deadline: 9 September 2016
I. LAGUERRES EQUATION [10 pts]
AR5 9.1.1: Show that Laguerres equation may be put in
self-adjoint form by multiplying by ex and that

Mathematical Physics 113
Problem Set 3
National Institute of Physics
(Dated: September 30, 2016)
Deadline: 14 October 2016
I. FOURIER SERIES [30 pts]
20 pts
Obtain the Fourier series for a periodic function
f (x + L) = f (x) with
f (x) = 4 x2 ,
10 pts
L/2

Computational Physics HW4
Luke Bouma
August 10, 2015
1
Asymmetric quantum well
Quantum mechanics can be formulated as a matrix problem, and solved on a computer using linear
algebra methods. For example. particle mass M , well of width L, some potential V

AP155
H OMEWORK 8
Exercise 8.1: Rolling dice
a) Write a program that generates and prints out two random numbers between 1 and 6, to
simulate the rolling of two dice.
b) Modify your program to simulate the rolling of two dice a million times and count the

University of the Philippines
College of Science
Physics 72
First Problem Set
First Semester, AY 20152016
Name:
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First Problem Set
First Semester, AY 20152016
Physics 72
INSTRUCTIONS: Cho