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