Assignment # 9: Genetic Diseases & Other Inborn Errors & Do People Choose Their Own
Health? - chapter 12th and 13th
Introduction to Public Health
HLTH 210-2296
Professor Beverly Walker
November 2th, 2
All questions may be attempted but only marks obtained on the best four solutions will
count.
The use of an electronic calculator is not permitted in this examination.
1. Consider the second order par
Answers for 2401
1. Question 1
(a) Using the chain rule we have
x
y
=
+
=
s
s x s y
x
y
x
y
=
+
=
t
t x t y
x
y
so
2
2
2
2
=(
)(
)=
+
(
+
)
st
x
y x
y
x2
xy
y 2
=
C 2
B 2
D
2
+
+
=
2
2
x
A xy A
Methods 3 - Question Sheet 3
HAND IN QUESTIONS 1 (parts marked *), 2 (parts marked with *) and 3.
Due Friday October 28, 2016 by 11 am (end of the lecture).
Question 1. (4 marks for * parts)
Solve Lap
Methods 3 - Question Sheet 2
HAND IN QUESTIONS 1 and 2 (parts marked with *) . Due Friday October
21 , 2016 by 11 am (end of the lecture).
Question 1. (5 marks)
(a) For each of the following PDEs for
Methods 3 - Question Sheet 1
HAND IN QUESTIONS 1, 2 (parts marked with *) and 3. Due Friday October
14 , 2016 by 11 am (end of the lecture).
Question 1. (2 marks)
Let m, n be positive integers. Verify
Methods 3 - Question Sheet 2
Question 1. (5 marks)
(a) For each of the following PDEs for (x, y), separate variables (x, y) = X(x)Y (y)
and find the ODEs satisfied by X and Y .
(i)
2
2
=
+
+ .
x2
y
Methods 3 - Question Sheet 1
Question 1. (2 marks)
Let m, n be positive integers. Verify the integral identities:
Z
nx
mx
1 L
cos
cos
dx = mn
L L
L
L
and
1
L
Z
L
cos
L
nx
L
sin
mx
L
dx = 0.
7402 Mathematical
Methods 4 Notes
Based on the 2011-2012 lectures by Dr G Esler
The Author has made every effort to copy down all the content on the board during lectures. The
Author accepts no respon
.
U NIVERSITY C OLLEGE L ONDON
A UTUMN T ERM 2014
Mathematical Methods 3
Jonny Evans
Last updated December 5, 2014
2
Contents
I
Fourier theory and separation of variables
1
Fourier series
1.1 The heat