-
TR
Vers
ion 1
.3 2
0/0
2/1
9
Rache
l B
earo
n,
Pro
fesso
r o
f M
ath
em
atica
l B
iolo
gy
Univ
ers
ity o
f Liv
erp
ool
A u
niv
ers
ity p
ers
pective
-
Wh
y S
tud
y F
urt
he
r
Ma
the
ma
tics
A U
niv
ers
ity
Pe
rsp
ect
ive
Ra
che
l B
ea
ron
Pro
fess
or
of
Ma
the
ma
tica
l B
iolo
gy
He
ad
of
Te
ach
ing
-
De
pa
rtm
en
t o
f M
ath
em
ati
cal
Sci
en
ces
We a
re o
ne o
f th
e U
K’s
big
ge
st m
ath
em
atics d
epa
rtm
ents
:
•O
ver
60 a
cadem
ic s
taff
•1400
unde
rgra
duate
stu
de
nts
(~
50%
fem
ale
)
•W
orl
d leadin
g r
esearc
h
-
World L
eadin
g r
esearc
h-
Math
em
atical bio
logy
Multi-
scale
modelli
ng
Math
em
atical bio
logy
Netw
ork
s
Dynam
ics
Sto
chastics
Da
ta
inte
gra
tion
Mechanic
s
Sta
tistics
Dis
cre
te
ü
ü
ü
ü
ü ü
ü
ü ü
ü
ü
ü
ü
-
EP
SR
CE
P/E
00
23
58
/1
Chem
ota
xis
& b
iofilm
s (
RN
B)
Pla
nkto
n d
ynam
ics (
RN
B,
D.
Lew
is)
-
Modelli
ng a
ggre
gation o
f m
icro
org
anis
ms (
B V
asie
v)
Experim
ents
vs
Math
s m
odel
Ce
ll F
low
s in C
hic
k E
mbry
o (
B V
asie
v)
BB
SR
CB
B/K
002430
/1
Dynam
ic g
en
e e
xpre
ssio
n (
M
Dom
ijan)
-
Th
eo
reti
cal / N
etw
ork
Dyn
am
ics w
ork
(K
Sh
ark
ey)
Encou
rage d
yna
mic
fra
gili
ty
•ep
idem
ic c
on
tact ne
twork
s
•m
eta
bolic
ne
twork
s o
f tu
mou
r
cells
Encou
rage r
ob
ust dyna
mic
s
•po
wer
gri
ds
•com
munic
ation a
nd logis
tic
ne
twork
s
•A
pp
lica
tion to Infe
ctious d
isea
se
•E
PS
RC
EP
/J00
47
4X
/1
•L
everh
ulm
eR
PG
-20
14
-341 B
BS
RC
BB
/M02
64
34
/1
-
Math
em
atical connectio
ns
Turing (
1952)
Reaction-D
iffu
sio
n m
echanis
m f
or
patt
ern
-form
ation
ü
ü
ü
ü
ü
-
Math
em
atical connectio
ns
How
the
le
opa
rd g
ot its s
pots
(M
urr
ay,
198
1)
-
What’s in a
first
year
Univ
ers
ity
math
s s
ylla
bus?
Fir
st
Sem
este
r
MA
TH
101 (
Calc
ulu
s 1
)
MA
TH
103 (
Intr
oduction
to L
inear
Alg
ebra
)
MA
TH
107 (
Explo
ring M
ath
em
atics)
MA
TH
111 (
Math
em
atical IT
skill
s)
Second S
em
este
r
MA
TH
102 (
Calc
ulu
s 2
)
MA
TH
122 (
New
tonia
n M
echanic
s)
MA
TH
162 (
Intr
oduction
to S
tatistics &
Pro
babili
ty)
MA
TH
142 (
Num
bers
, gro
ups,
and c
odes)
-
The d
eta
ils…
.
MA
TH
101 (
Calc
ulu
s 1
)
Alg
ebra
ic a
nd T
rigonom
etr
ic functions, In
vers
e functions; Lim
its o
f sequences;
Continuity o
f fu
nctions; D
iffe
rentiation, optim
isation, L’H
opital’s
theore
m;
Inte
gra
tion; E
xponential fu
nction, lo
garith
m, hyperb
olic
functions; C
onverg
ence
of series.
MA
TH
102 (
Calc
ulu
s 2
)
Pow
er
series a
nd r
adiu
s o
f converg
ence; Taylo
r series e
xpan
sio
ns; C
alc
ulu
s o
f
functions o
f severa
l variable
s, in
clu
din
g g
radie
nt and
directional d
erivative, chain
rule
, sta
tionary
poin
ts, optim
ization a
nd m
eth
od o
f Lagra
nge m
ultip
liers
; M
ultip
le
inte
gra
ls.
MA
TH
103 (
Intr
od
ucti
on
to
Lin
ear
Alg
eb
ra)
Com
ple
x n
um
bers
; V
ecto
rs in tw
o a
nd thre
e d
imensio
ns. Lin
ear
independence.
Scala
r and v
ecto
r pro
ducts
; M
atr
ix a
lgebra
. S
olu
tions o
f syste
ms o
f lin
ear
equations. D
ete
rmin
ants
; eig
envalu
es a
nd e
igenvecto
rs; S
imila
r m
atr
ices a
nd
dia
gonalis
ation
.
-
...
why s
tudy m
ath
s a
t U
niv
ers
ity…
?
… y
ou
learn
ho
w t
o t
hin
k c
learl
yan
d h
ow
to
so
lve p
rob
lem
seit
her
by y
ou
rself
or
in g
rou
ps
AB
OV
E A
LL
-
...
why s
tudy A
-level fu
rther
math
s ?
At Liv
erp
ool, w
e d
o n
ot
require f
urt
her
math
s…
But
it is v
iew
ed f
avoura
bly
in a
dm
issio
ns
More
im
port
antly
Pro
ble
m s
olv
ing
Confidence
Rein
forc
em
ent
Connections