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2C Feedback Exercise 201415
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1
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2C Applied Mathematics 201516
.
Tutorial exercises
T1
Find the dimensions of the following expressions.
a) mgh where m is mass, g is acceleration due to gravity and h is
distance.
p
/ (r )
Ex Sheet
3
2C Applied Mathematics 20142015
.
Tutorial exercises
T1 For each of the following ODEs, nd the equilibrium point(s),
the linearization about each of these points and whether or not they
are
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3
2C Feedback Exercise 201415
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Feedback exercises
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addi
Feedback exercises
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additional continuation sheets if required. Su
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2C Feedback Exercise 201415
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2
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2C Feedback Exercise 201415
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5
2C Feedback Exercise 20142015
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Review exercises
It is very important that you are competent with the material in
level-1 mathematics (1RSXY) and from 2A and 2B. In particular for
2C we will make use of vector algebra, differentiati
Ex Sheet
2C Feedback Exercise 201415
6
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Feedback exercises
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1
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2C Feedback Exercise 201415
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Mathematics 2C Vector functions of a single variable
Review of vector algebra.
In this document vectors are elements of R3 and the scalars are elements of R.
For vectors a, b, c and scalars and
a+b=b
Ex Sheet
9
2C Applied Mathematics 201415
.
Tutorial exercises
T1
A billiard ball A of mass 2m moving to the right with speed
v collides with a second ball B of mass m moving in the opposite
direction
Ex Sheet
2C Applied Mathematics 201415
4
.
Tutorial exercises
T1 The environment for an isolated population changes as a result
of radiation poisoning. We model the population using the exponential mo
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2C Feedback Exercise 201415
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specially formatted paper for your solution, use one cover sheet and
additiona
Review exercises
It is very important that you are competent with the material in
level-1 mathematics (1RSXY) and from 2A and 2B. In particular for
2C we will make use of vector algebra, differentiati
Ex Sheet
3
2C Applied Mathematics 20142015
.
Tutorial exercises
Lectures 68
T1 For each of the following ODEs, find the equilibrium point(s),
the linearization about each of these points and whether o
Review exercises
It is very important that you are competent with the material in
level-1 mathematics (1RSXY) and from 2A and 2B. In particular for
2C we will make use of vector algebra, differentiati
Tuesday, 13th May, 2014
2:00 p.m. to 3:30 p.m.
EXAMINATION FOR THE DEGREES OF
M.A. AND B.Sc.
Mathematics 2C - Topics in Applied Mathematics
An electronic calculator may be used provided that it does n
2C degree exam 2013 annotated solutions
1.
(i) The equation is separable
M
dN =
N (M N )
0 dt.
We use partial fractions to represent the integrand on the
LHS,
M
A
B
=
+
N (M N )
N
M N
or
M = A(M N ) +
Wednesday, 12th December, 2012
09:30 a.m. to 11:30 a.m.
EXAMINATION FOR THE DEGREES OF
M.A. AND B.Sc.
Mathematics 2C - Topics in Applied Mathematics
An electronic calculator may be used provided that
2C degree exam 2012 annotated solutions
1.
(i) Newtons second law for the constant mass particle is
m = F.
x
(ii) Take the scalar product of Newtons second law with the velocity and integrate from t =
Class test 2C1 , Tuesday 6th November 2012. Solutions.
1.
(i) The radius is conjectured to depend on u, m and E so
R = ku m E
where k, , and are dimensionless constants. The dimensions of the quantit
Tuesday, 6th November, 2012
9:10 a.m. to 9:55 a.m.
University of Glasgow
School of Mathematics and Statistics
Mathematics 2C1 - Topics in Applied Mathematics
Class Test
An electronic calculator may be
Ex Sheet
3
2C Feedback Exercise 201415
Feedback exercises
Answer all the questions. Show your working clearly. Use only the
specially forma tted paper for your solution, use one cover sheet and
additi
1
Ex Sheet
2C Applied Mathematics 201415
.
Tutorial exercises
T1
Find the dimensions of the following expressions.
a) mgh where m is mass, g is acceleration due to gravity and h is
distance.
b)
/ (r )
Ex Sheet
2
2C Applied Mathematics 201415
.
Tutorial exercises
T1 It is observed that a population of size N0 doubles in size after
D units of time. Using the exponential model
dN
= N,
dt
where N is th
Ex Sheet
10
2C Applied Mathematics 201415
.
Tutorial exercises
T1
A mass M rests on a plane that is inclined at an angle to the
horizontal. It is connected by a light inextensible string which passes
11
Ex Sheet
2C Applied Mathematics 201415
.
Further exercises
F1 Consider N 1 masses, each of mass L/N, lying in a straight
line on a smooth table between two walls, one at x = 0 and the other
at x =