AMSI Summer School 2010 Student Information Guide (Web Edition)

8TH ANNUAL
AMSI SUMMER SCHOOL
11 JAN TO 5 FEB, 2010
LA TROBE UNIVERSITY
SOAP FILMS: MINIMAL SURFACES AND
PARTIAL DIFFERENTIAL EQUATIONS
Dr Maria Athanassenas | Monash University
GEOMETRY AND
GROUP ACTIONS
Dr Grant Cairns | La Trobe University
INTRODUCTION TO THE NUMERICAL
APPROXIMATION OF PARTIAL DIFFERENTIAL EQUATIONS
Dr Markus Hegland | Australian National University
MEASURE
THEORY
Dr Marty Ross
APPLICATIONS OF MATHEMATICS AND
STATISTICS TO BIOINFORMATICS
Dr Conrad Burden | Australian National University
NONPARAMETRIC
CURVE ESTIMATION
Dr Aurore Delaigle | University of Melbourne
COMPUTATIONAL COMPLEXITY IN
THEORY AND PRACTICE
Dr Marcel Jackson | La Trobe University
STUDENT
INFORMATION
GUIDE
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WELCOME CONTENTS
PROFESSOR GRANT CAIRNS
DIRECTOR
AMSI SUMMER SCHOOL 2010
LA TROBE UNIVERSITY
Welcome to the AMSI 2010 Summer
School. It is going to be an exciting
four weeks, and I hope you are
looking forward to it as much as
I am. We are fortunate to be able
to offer seven interesting courses,
from pure and applied mathematics,
to statistics and bioinformatics. In
addition there are numerous events
to maintain your interest: talks
by high profi le mathematicians,
excursions to Federation Square,
Hanging Rock and Ocean Grove,
juggling, maths-movies, bbqs and a
lot more.
I hope you take this opportunity to
make contacts throughout Australia,
and above all that you enjoy
learning a lot of new mathematics
and statistics.
PROFESSOR GEOFF PRINCE
DIRECTOR
AUSTRALIAN MATHEMATICAL
SCIENCES INSTITUTE (AMSI)
The Australian Mathematical
Sciences Institute (AMSI) is a
collaborative venture of most of
Australia’s mathematical sciences
departments, societies and
government agencies. The Annual
Summer School is a quintessential
AMSI activity: a national event aimed
at enriching your mathematical and
statistical education. This year’s
program looks great and the format
will let you completely immerse
yourself for four weeks. For many of
you this Summer School marks the
start of your most intense year at
university: honours.
I wish you real enjoyment of this
challenging and life-changing
experience and I hope that you make
lasting friendships at La Trobe.
Speakers . . . . . . . . . . . . . . . . . 4
Student Guidelines . . . . . . . . . . 6
Subject Guides . . . . . . . . . . . . . 8
Map: City . . . . . . . . . . . . . . . . 22
Map: Federation Square. . . . . 24
Map: La Trobe Aerial . . . . . . . 25
Map: La Trobe Campus . . . . . 26
Map: Tram Route 86. . . . . . . . 28
Travel Information. . . . . . . . . . 29
Services on Campus . . . . . . . 33
Summer School Excursions . . 36
Graduate Study at La Trobe . . 42
Places to Eat and Go . . . . . . . 43
Timetable . . . . . . . . . . . . . . . . 47
SUMMER
SCHOOL
LIVE::::::::::
Keep updated on what’s
happening at the Summer School
with live updates, including:
• information regarding activities
and excursions
• messages from lecturers
• timetable changes
• important notifi cations
www.latrobe.edu.au/mathstats/
summerschool/live

AMSI SUMMER SCHOOL 2010
MONDAY 11 JANUARY TO FRIDAY 5 FEBRUARY 2010
The AMSI Summer School offers honours and postgraduate students a variety of courses
in the mathematical sciences, some of which may not normally be available at their home
institutions. With the approval of their home university, honours and coursework masters
students may take courses for credit towards their degree.
The summer school also encourages the participation of PhD and research masters
students in the mathematical sciences who may wish to broaden their mathematical
foundations. The courses are also open to postgraduate students from cognate areas
who wish to extend their knowledge of appropriate areas of mathematics and statistics.
The AMSI Summer School’s appeal has proven to be of interest to students from Physics,
Engineering, Biomedical Science and Commerce (Finance, Risk Management and other
quantitative areas), among others. Enrolment is also possible for staff employed in an
Australian University or any of the other member organisations of AMSI.
ABOUT THE SUMMER SCHOOL
La Trobe University is host to the eighth annual AMSI Summer School designed for
mathematics and statistics honours and coursework masters students. The four-week
program consists of courses in pure mathematics and applied mathematics and statistics.
Students enjoy a stimulating atmosphere where opportunities for the interchange of ideas
both with one another and with the lecturers exist. The feeling of camaraderie and the
opportunity to share mathematical experiences with a larger group of students are key
features of the Summer School. Social events such as morning teas and barbecues also
contribute to the experience.
BACKGROUND
The Australian Mathematics Sciences Institute (AMSI) is a national consortium established
through a grant from the Victorian Government and funds from thirty-one AMSI member
institutions. In 2002 the Federal Government announced funding which enabled AMSI to
run a program of summer courses for honours and coursework masters students in the
mathematical sciences. Previous summer schools have been held at the University of
Melbourne (2003), University of New South Wales (2004), Australian National University
(2005), RMIT University (2006), University of Sydney (2007), Monash University (2008)
and the University of Wollongong (2009).
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SPEAKERS
MARIA ATHANASSENAS
Maria.Athanassenas@sci.monash.edu.au
Maria Athanassenas was born in Thessaloniki, Greece. She studied at the
University of Bonn, Germany, amidst the (mathematical and other) happenings
of the day, with a stint at the University of Hamburg (for the sea change and
DESY, the German synchrotron), and an exchange year at the University of
Pennsylvania (to learn PDEs from Jerry Kazdan, but not only). Maria completed
her PhD at the University of Bonn, under the supervision of Stefan Hildebrandt.
She moved to Melbourne in 1992, for a postdoctoral position at the University of
Melbourne, and to fi nally meet those wombats!
Maria is currently working as Senior Lecturer, School of Mathematical Sciences,
Monash University. Research-wise she is interested in Capillarity from a
mathematical point of view: using tools from differential geometry, partial
differential equations, measure theory and calculus of variations.
CONRAD BURDEN
Conrad.Burden@anu.edu.au
Conrad Burden received his BSc in applied mathematics from the University of
Queensland in 1978, his PhD in theoretical physics from the Australian National
University in 1983, and is a Fellow of the Australian Institute of Physics. For the
fi rst 16 years of his academic career his research interests centred on subatomic
particle physics and quantum fi eld theory. After a brief sojourn in the IT industry
he made the transition to bioinformation science in 2003.
Conrad is currently a Fellow in the Centre for Bioinformation Science at the
Australian National University where his research interests include modelling of
oligonucleotide microarrays, alignment free sequence comparison methods, gene
regulation and protein structure.
GRANT CAIRNS
G.Cairns@latrobe.edu.au
Grant studied electrical engineering at the University of Queensland, before
completing a doctorate in differential geometry in Montpellier, France, under the
direction of Pierre Molino. He spent two years at the University of Geneva, and
a one year postdoc at the University of Waterloo, Canada, before coming to La
Trobe. Grant is a maths enthusiast and enjoys researching and studying all kinds
of maths.
Grant has a serious addiction to maths books, and maths-related books, and
seldom reads anything else. Fortunately, Grant has a very happy family life,
thanks to his loving wife Romana and their sons, Des and Max.

AURORE DELAIGLE
A.Delaigle@ms.unimelb.edu.au
Aurore Delaigle received her PhD in Statistics from the Université catholique de
Louvain in Belgium. After her PhD, she spent three years in California, where she
did a one-year postdoc at the University of California at Davis, and then became
an Assistant Professor at the University of California in San Diego. At the end of
the three years, she moved back to Europe and took a lecturer job in Bristol, UK
and later on became a reader in Statistics at the University of Bristol.
Aurore is currently a QEII fellow at the University of Melbourne. Her research
focuses mainly on nonparametric statistics and problems of measurement errors.
MARKUS HEGLAND
Markus.Hegland@anu.edu.au
Markus is fascinated by the computational challenges posed by high dimensions
and ill-posedness (where the results do not depend continuously on the data),
applications in machine learning and biology and the mathematical theory
which reveals initially hidden computational tractability. He is also interested
in implementations - now mostly in Python - of effi cient parallel numerical
algorithms. Markus is a Senior Fellow at the ANU, and is member of the ARC
Centre in Bioinformatics.
Markus has started tutoring in high school, has taught introductory courses in
numerical analysis at the ETH in Switzerland and advanced courses at the ANU.
He does also enjoy coming to the AMSI Summer Schools. He has taught 3 times
at AMSI before, twice in Melbourne and once in Sydney. He was director of the
AMSI Summer School when it was hosted by the ANU in 2005.
MARCEL JACKSON
M.G.Jackson@latrobe.edu.au
Marcel Jackson is a senior lecturer in mathematics at La Trobe University. He
has an active interest in semigroup theory and universal algebra, including
their interplay with aspects of theoretical computer science and computational
complexity.
Aside from a general interest in things mathematical, Marcel is also quite easily
enthused on other topics: fruits, rocks, rain, coastal shrub, noise, ...
MARTY ROSS
MartiniRossi@gmail.com
Marty Ross is a mathematical bum. At the age of 2, he ran away from America
to join the circus. After some controversy involving an elephant, he returned to
America to do his PhD on geometric analysis at Stanford University. After a stint
at Rice University, he came home to Australia. Since then, he has wandered from
maths department to maths department, aimless but happy.
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STUDENT GUIDELINES
TAKING SUBJECTS FOR CREDIT
Some universities recognise AMSI Summer
School subjects and will credit your results
from the Summer School towards your
degree, however, not all universities will
recognise Summer School results. In
other cases, some university departments
will recognise Summer School subjects,
while other departments may not. There
may also be restrictions on the amount of
credit granted, with some universities only
allowing one AMSI Summer School subject
count towards your degree.
Different universities have different
mechanisms for accrediting Summer School
subjects; many will require you to enrol
in a subject at your home university, and
then return your Summer School mark for
that subject. The Summer School provides
guidelines to lecturers on assessment, and
after the assessment has been completed,
the Summer School returns the results to
the student’s home university. However, the
Summer School plays no role in how these
results are used, and cannot guarantee that
marks will be accredited towards a degree.
It is the responsibility of students to resolve
this matter with their home university.
If you haven’t done so already, you are
strongly advised to contact your Head of
Department or Honours Coordinator for
guidance as to whether or not, and how,
your Summer School subjects may be
accredited by your home university.
FOR CREDIT (FC) AND NOT FOR
CREDIT (NFC)
It is important that lecturers know whether
you are taking their subjects for credit, or
not for credit. If you are taking a subject
for credit, you must confi rm your intention
to do so by the start of the fourth week of
the Summer School. Our advice is that you
should take at most one subject for credit.
SUBJECT OR SUBJECTS?
You may enrol in at most two Summer
School subjects. You are welcome to sit
in on other subjects, especially in week
one. However, printed course materials are
reserved for students who have enrolled in
the particular subject. You may change your
choice of subjects in the fi rst week of the
Summer School; if you do, please notify the
lecturers, and the Summer School Director.
SUBJECT INFORMATION
GUIDES AND PREREQUISITE
KNOWLEDGE
Subject guides and information about
prerequisite knowledge for each course are
available on the following pages and on the
Courses web page for each subject:
www.latrobe.edu.au/mathstats/
summerschool/courses
ASSESSMENT
Due to the compressed nature of
the Summer School, the rhythm of
assignments, and the nature of the exam,
assessment might be quite different to
what you are used to. Make sure you
understand the assessment details in the
subject or subjects that you take. Also,
it is very important that you respect the
assessment deadlines. The lecturers will
want to give back assignments as soon
as possible so that students can obtain
feedback on how they are going, therefore
might be very reluctant to offer extensions
on assignments. Also, as lecturers are
required to return overall results shortly
after the conclusion of the Summer
School there will be very little opportunity
for alternate examination arrangements
(which sometimes occurs in the normal
running of university subjects). It is the
particular nature of the Summer School
that students are in part assessed on their

ability to complete a series of demanding
assessment tasks in a very short time
period.
SPECIAL CONSIDERATION
Requests for special consideration should
not go through the Summer School
institution’s student/academic services.
Instead, requests for special consideration
should go directly to the Summer School
Director, who will provide a copy to the
lecturer. Requests must be in writing and
should include documented evidence
as appropriate. Any action on a special
consideration request will be conducted in
consultation between the lecturer and the
Summer School Director.
Due to the short duration of the Summer
School, special consideration requests
cannot be treated entirely in the usual
way. For example, a student may become
ill for a fortnight and thus prevented for
participating in half the Summer School.
This kind of event is unfortunate, but it can’t
be resolved by the special consideration
process. Ultimately, the Summer School
has to report back to the home universities
that the competencies attained are at the
Australian honours level. Consequently,
special consideration requests will be
examined subject to the following principle:
• consideration may be given for
circumstances that prevented the
student showing what they had
succeeded in learning; and,
• consideration won’t be given for
circumstances that prevented the
student from learning.
EQUITY AND ACCESS
For students with disabilities, Equity and
Access requests (e.g. materials in alternate
forms such as large print) should go
directly to the Summer School Director,
who will liaise with the lecturer and with
the local Equity and Access Centre to
provide appropriate support. For materials
to be prepared in time, applications should
normally be made well in advance of the
commencement of the Summer School.
PLAGIARISM AND COPYING
We stress that plagiarism or copying is not
acceptable and will incur penalties, which
may be as severe as failure in the subject.
COMPLAINTS
Complaints by students should be
addressed in writing to the Summer School
Director:
Professor Grant Cairns
Director of the AMSI Summer School
Offi ce 217
Physical Sciences 2
Department of Mathematics and Statistics
La Trobe University
Bundoora Victoria 3086
T: +61 (0)3 9479 1106
T: +61 (0)403 519 678
F: +61 (0)3 9479 2466
E: G.Cairns@latrobe.edu.au
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SUBJECT GUIDE
SOAP FILMS - MINIMAL SURFACES AND
PARTIAL DIFFERENTIAL EQUATIONS (SPF)
MARIA ATHANASSENAS
SYNOPSIS
Minimal surfaces exhibit some intriguing
behaviour that, to some extent, we are
familiar with from playing with soap fi lms
and soap bubbles. Having minimal surfaces
as the Leitmotiv, and depending on
students’ background and various interests
we will cover topics in
• Geometry of surfaces –
parametrisation, fi rst and second
fundamental forms, notions of
curvature;
• Calculus of variations – minimising
“energy”/ surface area, fi rst and second
variation of functionals;
• Introduction to elliptic partial differential
equations of second order (including
Sobolev spaces and basic solution
techniques from functional analysis);
• Fun results on minimal surfaces.
CONTACT HOURS
7 hours of lectures per week, with consultation as
requested/required. Information on timetabling is
located at the back of this booklet and also on the
Timetable web page.
FOR CREDIT (FC) AND
NOT FOR CREDIT (NFC)
Are you taking this subject for credit in your home
institution? If so, I need to know. I’ll take a roll in the
fi rst class. You can change your mind afterwards, but
students taking this subject for credit must confi rm
their intention to do so by the start of the third week
of the school.
PREREQUISITES
We’ll assume familiarity with:
• the fundamental concepts of analysis in
Euclidean Space (infs and sups, open and
closed sets, continuity, completeness and
compactness, differentiability);
• basic notions of linear algebra (vector spaces,
inner products, quadratic forms, eigenvalues);
• basic notions of multivariable calculus
(level sets, graphs of functions, parametric
representation of curves and surfaces,
divergence theorem);
• some basic notions of complex analysis, metric
spaces – would be helpful, but we can talk
about them;
• some introductory knowledge of differential
geometry on curves and surfaces would be
fantastic, but not assumed.
Obviously, the stronger your background, the
happier the lecturer! I will circulate a questionnaire in
the fi rst lecture asking you to indicate at which level
you classify your knowledge of the various topics.
ASSESSMENT
I’m open to negotiation, but the proposal is:
• Problems assigned during lectures (50%) –
this component can include a short project,
depending on class size and interest;
• Take-home exam (50%).

RESOURCES
Lecture notes
My lecturing style is to write on the board from my
handwritten notes. For the last few years I have
experimented with scanning volunteer students’
notes after the class (they get free editing in
exchange...), and everybody seemed happy. Last
semester we also photographed the boards, but had
some non-standard arrangements for linking them,
as fi les were getting large.
Textbook
For the fi rst week I will be using my own notes–
some introduction to differential geometry and
calculus of variations.
Week two and three will be following material
chosen from “Partial Differential Equations” by
Lawrence C. Evans, AMS, Graduate Studies (GMS
19). It seems a good idea if the book is available at
your institution, to arrange to bring a copy along, but
please negotiate to share with your friends.
The last week will be devoted to selected topics on
minimal surfaces and I plan to follow (in a rather free
way) some bits and pieces from “Minimal Surfaces”,
by U. Dierkes, S. Hildebrandt, A. Küster, O. Wohlrab,
Springer, Comprehensive Studies in Mathematics
296.
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SUBJECT GUIDE
APPLICATIONS OF MATHEMATICS AND
STATISTICS TO BIOINFORMATICS (BIO)
CONRAD BURDEN
SYNOPSIS
Bioinformatics is a rapidly growing
interdisciplinary fi eld concerned with the
use of computational methods to solve
biological problems related to DNA and
amino acid sequence information. Typical
problems addressed by bioinformaticians
are identifying functionally different parts
of a genome, searching DNA or protein
databases to fi nd sequences which
are functionally similar to a given query
sequence, or inferring the relatedness of
different species by measuring the similarity
of their genomes. The course will cover the
mathematical theory behind some of the
algorithms commonly used by biologists
and also give examples of current research.
The course is divided into four sections:
1. A crash course in probability and
statistics,
2. Analysis of a single DNA sequence,
3. Analysis of multiple DNA or protein
sequences,
4. Alignment-free sequence comparisons.
CONTACT HOURS
7 hours of lectures per week, with consultation as
requested/required. Information on timetabling is
located at the back of this booklet and also on the
Timetable web page.
PREREQUISITES
Some exposure to probability and statistics would be
very helpful. I will start from scratch, but the scratch
may be very scratchy if you have not previously
done any probability theory. Little or no knowledge
of biology will be assumed, and I will devote one
lecture to the small amount of biology needed.
BACKGROUND
Lecture notes summarising the probability and
statistics covered in the fi rst section of the course
are available on this course web page. Copious use
will be made of this material in the remainder of the
course. Among more familiar material, it includes
material which is not generally given in introductory
undergraduate courses such as extreme value
statistics.
Note: Before the summer school begins, it is advised
that students familiarise themselves with this course
using the lecture notes on the web site.
ASSESSMENT
One take-home exam which will be made available
at the beginning of the course. It is divided into the
four sections set out above.
SUBMITTING ASSIGNMENTS BY EMAIL OR
MAIL
The deadline for submitting assignments is Friday
12th February. Your solutions can either be scanned
(or typeset in LATEX if you are really keen, but you
won’t get any extra brownie points) and emailed to
me at Conrad.Burden@anu.edu.au or sent through
the snail mail to:
Conrad Burden
Mathematical Sciences Institute
Building 27
Australian National University
Canberra ACT 0200
If sending by snail mail, allow a couple of days to
reach me by the deadline, keep a photocopy and
send an email to let me know it is coming.

RESOURCES
Lecture notes
My lecturing style is to write on the board from
my handwritten notes. If people fi nd this format
impossible, we could see about scanning my notes.
Textbook
Much of the material for the fi rst three sections is
from the graduate textbook Statistical Methods in
Bioinformatics: An Introduction by W.J. Ewens and
G.R. Grant (2nd Ed., Springer, New York, NY).
The fi nal section is based on research currently
being carried out by the bioinformatics group in the
Mathematical Sciences Institute at ANU.
Software
Some of the take-home exam questions require
programming with the open source statistical
software package R, which can be downloaded from
http://cran.r-project.org/
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SUBJECT GUIDE
GEOMETRY AND GROUP ACTIONS (GGA)
GRANT CAIRNS
SYNOPSIS
Not only are there many geometries, but
there are many approaches to geometry.
We will look at an approach that one could
arguably say is the mainstream, modern
approach. Here, instead of building on
a choice of axioms or postulates, one
chooses a particular set, equipped with a
particular structure, and one studies the
resulting geometric properties, that are
invariant under the group of automorphisms
of the structure. In this subject, we’ll start
with some classical geometries (Euclidean,
inversive, hyperbolic, Minkowskian). We’ll
then look at group actions, use them to
generate some group theoretic notions, and
then return to play with geometry again.
CONTACT HOURS
7 hours of lectures per week, with consultation
as requested/required. Information on timetabling
is located at the back of this booklet and also on
the Timetable web page. My offi ce is Room 217,
Physical Sciences 2. Feel free to see me at any
time, I’ll be in most days.
FOR CREDIT (FC) AND
NOT FOR CREDIT (NFC)
Are you taking this subject for credit in your home
institution? If so, I need to know. I’ll take a roll in the
fi rst class. You can change your mind afterwards, but
students taking this subject for credit must confi rm
their intention to do so by the start of the last week
of the school.
PREREQUISITES
The course doesn’t assume any background in
geometry and the course doesn’t use topology. You
will need to have done a basic course on linear
algebra. When we get to groups we will start with
the defi nition, so technically it is possible to do this
subject without having done group theory before.
However, the pace is quite fast, so it is preferable
that you have already done an introductory course
on groups, or algebra in general. The main thing to
note is that the course involves a lot of “proofs”, so
it is essential that you have done some proof-based
mathematical studies, and that you’re comfortable
and confi dent in writing out arguments in a coherent
and rigorous manner.
BACKGROUND
While the course doesn’t assume any specifi c
background knowledge in geometry, the geometry
part of the course is undoubtedly the most
challenging. The group theory part of the course is
more straight-forward, and the assignment problems
are usually done by doing the (hopefully) obvious
thing. The geometry part sometimes requires you
to just see how to do it. A good preparation for this
course would be to read a little geometry. Classical
texts include:
• H.S.M. Coxeter, Introduction to geometry,
Wiley Classics Library, 1989.
• Dan Pedoe, Geometry, Dover
Publications,1988.
• M.J. Greenberg, Euclidean and non-Euclidean
geometries, W. H. Freeman and Co, 2007.
The approach in these texts is not the same as the
one adopted in this course, but the geometric fl avour
is similar.
ASSESSMENT
I’m open to negotiation, but the proposal is:
• Three assignments (total: 75%), due in
at 2.15pm, by the commencement of the
Wednesday lectures on Jan 20, Jan 27, and
Feb 3.
• Take-home exam (25%). Handed out at the
end of the School and due in by 5pm Friday
Feb 12.
SUBMITTING ASSIGNMENTS BY FAX, EMAIL
OR IN PERSON
Assignments and the exam may be submitted
in person, by fax (03 9479 2466) or by email
(G.Cairns@latrobe.edu.au).

LATE SUBMISSION POLICY
Because of the short duration of the Summer
School, it’s important that I mark assignments and
get them back to you as soon as possible, so you
can get some feedback. So I am very reluctant to
allow extensions of deadlines. After all, it is true that
is in the nature of Summer Schools that students are
in part assessed on their ability to complete a series
of demanding assessment tasks in a very short time
period. The Late Submission Policy is therefore
rather draconian:
• Your mark (whether it be for an assignment
and the exam), will be multiplied by 48/(48 + x),
where x is the number of hours late.
• No assignments will be accepted after
students’ answers have been returned.
RESOURCES
Lecture notes (which do get quite opinionated at
times) are available for download. A printed copy
of the Lecture notes will be provided for students
registered in this subject.
This subject will follow the lecture notes closely; the
intention is to cover the four chapters in the four
weeks. Chapter 1 is the longest, and will take over a
week to go through.
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14
SUBJECT GUIDE
NONPARAMETRIC CURVE ESTIMATION (EST)
AURORE DELAIGLE
SYNPOSIS
Estimation of a curve from data is often
achieved by assuming that the curve is
known up to the value of some coeffi cients
(for example, it is a straight line, but we
need to estimate the coeffi cients of the
line). Nonparametric methods are fl exible
techniques which enable us to construct
good estimators of a curve without
assuming that it has a specifi ed shape (the
shape is entirely driven by the data). This
course provides an introduction to popular
techniques such as spline and kernel
methods.
Topics covered: several techniques of
nonparametric estimation of a density
and of a regression curve. If time
permits: introduction to other topics in
nonparamertric statistics (e.g. bootstrap).
CONTACT HOURS
7 hours of lectures per week, with consultation as
requested/required. Information on timetabling is
located at the back of this booklet and also on the
Timetable web page.
BACKGROUND
Preliminary material for this course is available for
download from the Summer School web site.
Note: Before the summer school begins, students
should ensure they prepare for this course using the
background notes.
ASSESSMENT
Take-home exam. Handed out at the end of the
School and due in by 5pm Friday 12 February.
SUBMITTING ASSIGNMENTS BY EMAIL OR IN
PERSON
The exam may be submitted in person or by email
A.Delaigle@ms.unimelb.edu.au.
RESOURCES
Lecture notes
Lecture notes will be provided for this course.
Textbooks
• Kernel density estimation:
Silverman, B. (1986). Density Estimation for
Statistics and Data Analysis, Chapman and
Hall, London.
Wand, M.P. and Jones, M.C. (1995). Kernel
Smoothing. Chapman and Hall, London.
• Kernel regression estimation:
Wand, M.P. and Jones, M.C. (1995). Kernel
Smoothing. Chapman and Hall, London.
Fan, J. and Gijbels, I. (1996). Local polynomial
modelling and its applications. Chapman and
Hall, London.
• Spline regression:
Ruppert, D., Wand, M.P. and Carroll, R.J.
(2003). Semiparametric regression. Cambridge
University Press.
Hastie, Tibshirani and Friedman (2009). The
elements of statistical learning (2nd Edition),
Springer, New York.
• Other methods:
Fan, J. and Gijbels, I. (1996). Local polynomial
modelling and its applications. Chapman and
Hall, London.
Hastie, Tibshirani and Friedman (2009). The
elements of statistical learning (2nd Edition),
Springer, New York.

16
SUBJECT GUIDE
INTRODUCTION TO THE NUMERICAL APPROXIMATION
OF PARTIAL DIFFERENTIAL EQUATIONS (APP)
MARKUS HEGLAND
SYNOPSIS
Partial differential equations are the
most widely used mathematical tool in
modern computational science. They are
indispensable in engineering from the
design of new computer processors to
building air planes and in environmental
science in weather prediction and
understanding Tsunamis. Increasingly,
PDEs are used in the biological and
medical sciences for example to understand
heart disease and the spread of diseases
and pests.
Most partial differential equations have no
known explicit solutions and so numerical
simulation is the main tool used to gain
scientifi c insights from PDEs. The results
depend crucially on the quality of the
simulations. Numerical analysis is the
subdiscipline of mathematics which uses
mathematical analysis to understand how
good numerical simulations are. In this
course we discuss methods which were
developed in the 1970s and in the last ten
years for approximating solutions of PDEs.
They originate from a reformulation of
elliptic PDEs as an optimisation problem.
Computational convenience and effi ciency
is obtained by models based on piecewise
polynomial functions. At the end we will
consider current research in multiscale
and wavelet methods which promise to
revolutionise PDE simulations.
COURSE OUTLINE
The course will provide an introduction to the
numerical solution of linear elliptic and parabolic
partial differential equations. Topics covered include
fi nite elements, problems with constraints, time and
space discretisation and in the last week modern
wavelet-based solution techniques.
• Week 1: Elliptic problems, Sobolev spaces,
Lax-Milgram, Galerkin methods, basic fi nite
elements, Cea’s lemma, Aubin-Nitsche, etc
following book by D. Braess
• Week 2: Elliptic problems with constraints,
inf-sup condition and theorems by Brezzi et al
again from Braess
• Week 3: Parabolic problems, semi-discrete and
discrete, theory from Vidar Thomee, mostly
from chapter one
• Week 4: Solving PDEs with wavelets, based
on a tutorial by W. Dahmen and the newer
research literature. Including multiresolution,
norm equivalence and adaptive algorithms.
I will cover mostly 1 to 3 dimensional problems but
will mention higher dimensions as well.
CONTACT HOURS
7 hours of lectures per week, with consultation as
requested/required. Information on timetabling is
located at the back of this booklet and also on the
Timetable web page.
ASSESSMENT
Students will be assessed by an exam and have
three assignments including programming tasks
(in Python). We will have lab sessions with an
introduction to Python programming.
REQUIREMENTS AND READING
Requirements and reading for the course
“Introduction to the numerical approximation of
partial differential equations”.
The course uses analysis to provide an
understanding of the effectiveness of numerical
simulations for partial differential equations. As
such, some background in analysis is required. A
good starting point are the notes provided by Marty
Ross for the AMSI measure theory course. I would
suggest carefully studying the full notes. At the least,
the following concepts are important:
• sets: defi nition, integers, rational, real and
complex numbers, sequences, countability
• real analysis: least upper bound principle,
monotone sequence property, intermediate
value theorem, full sections on Euclidean
space, normed spaces and inner product

spaces, metric spaces, in particular complete
spaces. We will need Hilbert spaces frequently
and often defi ne them through the completion
of an inner product space.
• topological spaces: defi nition, elementary
properties on p. 15, continuous functions,
compact support, local compactness and
product topology, separability .
While the background notes from the measure
theory course are essential I will try not to use
Lebesgue measure theory itself in this course.
However, it has to be said that the foundations
for the L_2 space of square integrable functions
- which is essential in the course - are most
comprehensively treated using Lebesgue measure
theory.
We will also need some background on numerical
linear algebra and some idea about numerical
algorithms and mathematical modelling. A good
preparation can be obtained by studying the book
“Introduction to Applied Mathematics” by Gilbert
Strang. This includes even a short introduction to
fi nite elements in Chapter 5. (Chapter 5 is the most
important chapter here, but sections on equilibrium
problems and initial value problems are also
useful.) This book is a classic in the area of applied
maths and covers the traditional (up to mid 1980s)
approaches very well. I read it as a PhD student a bit
like a Russian novel from the start to the end while
writing up.
Marty’s notes and Gil Strang’s book give you a good
background for the course.
If you still need some reading material I suggest
that you get some books on computational science
and learn Python programming (see, e.g., “Dive
Into Python” by Mark Pilgrim). This book is on
the Internet on diveintopython.org. Shorter and
more elementary tutorials can be found on that
page as well. Have a look at Scientifi c Python, see
www.scipy.org. There is also a nice book by H.P.
Langtangen “A Primer on Scientifi c Programming
with Python” and he has a more advanced book
as well for the programmers among you. Of
course there are many other books on introductory
numerical analysis and computational mathematics
which are very good reading which will also get
you in the mood for the course. Take your personal
favourite–if you don’t have one, ask your friends or
the lecturer in your numerics course.
Partial differential equations and numerical
analysis are the mathematics underpinning modern
computational simulations. This is one place where
mathematics has made a tremendous difference
to all our lives. For some motivational background,
see for example, Alfi o Quarteroni: “Mathematical
Models in Science and Engineering”, Notices of the
American Mathematical Society, Volume 56, Number
1, p.10-19, January 2009. There you will fi nd a few
good stories, some equations, some nice pictures
and also some background on how numerical
approximation fi ts in the modelling framework. If you
cannot fi nd the time to read anything of the above
you should absolutely grab a copy of this article,
see: www.ams.org/notices/200901/ and read the part
on the America Cup to be prepared for the Sydney
to Hobart Yacht Race.
RESOURCES
The course is mainly based on the following
materials:
• D. Braess, Finite Elements, 3rd Edition,
Cambridge University Press, 2007.
• V. Thomee, Galerkin fi nite element methods for
parabolic problems, Springer 2006.
• W. Dahmen, Multiscale and Wavelet Methods
for Operator Equations, Springer Lecture Notes
in Mathematics, 1825, pp. 31-96, 2003.
17

18
SUBJECT GUIDE
COMPUTATIONAL COMPLEXITY IN
THEORY AND PRACTICE (COM)
MARCEL JACKSON
SYNOPSIS
What makes some problems hard and
some problems easy? For that matter, what
is “hard” and what is “easy”? What is a
problem?
In this subject we consider questions
concerning the diffi culty of computational
problems. As well as developing the general
theory of computational complexity, special
attention is paid to the classifi cation of
interesting computational problems arising
from mathematics.
Initially, the subject delves into an
investigation of models of computation,
before identifying some of the basic
measures of computational complexity:
time, space and their nondeterministic
versions.
On the “theory” side, the subject focuses on
some of the most important of complexity
classes and their relationships: P, NP,
PSPACE, R, RE, and to a lesser extent,
the polynomial and arithmetic hierarchies.
While many inequalities here are unknown
to be strict (such as the Clay Institute’s
Millennium Prize problem “P=NP?”), we
establish several of the classic results
that do make some distinction between
the classes (such as Savitch’s Theorem,
Turing’s proof of the undecidability of
the halting problem and the applicability/
inapplicability of the method of
diagonalisation).
On the “in-practice” side, we classify the
complexity of many natural mathematical
problems. At the lower level (mostly P
and NP), these problems mostly come
from Boolean algebra, graph theory
and combinatorics. At the upper level of
complexity, the problems we look at are
provably unsolvable by algorithmic means.
Here we examine the semigroup word
problem as well as problems such as Matrix
Mortality from linear algebra and problems
associated with tiling the plane.
CONTACT HOURS
7 hours of lectures per week, with consultation
as requested/required. Information on timetabling
is located at the back of this booklet and also on
the Timetable web page. My offi ce is Room 317,
Physical Sciences 2. I’ll be in on most days, and
you should feel free to see me at any time.
FOR CREDIT (FC) AND
NOT FOR CREDIT (NFC)
Are you taking this subject for credit in your home
institution? If so, I need to know. I’ll take a roll in the
fi rst class. You can change your mind afterwards,
but students taking this subject for credit will need to
confi rm their intention to do so by the start of the last
week of the school.
PREREQUISITES
The course has little in the way of prerequisites.
Some familiarity with basic discrete mathematics or
mathematics for computer science may be useful.
However, as we only assume the basics, any
missing knowledge can mostly be picked up with a
small amount of background reading (and is mostly
sketched in appendices to the printed notes). A far
more detailed discussion of assumed topics can be
found by downloading the background information
from the Courses web page. An important issue to
note is that the course involves a lot of “proofs”, so
it is essential that you have done some proof-based
mathematical studies, and that you’re comfortable
and confi dent in writing out arguments in a coherent
and rigorous manner.

BACKGROUND
You should download the background notes for a
detailed overview of what is assumed.
Note: aside from what is discussed in the
background reading downloadable from the web
site, the printed notes contain all that is needed for
this subject.
However, if you are interested, there is a wealth of
information that can be found in other books and on
the web. A favourite text is
• Christos H. Papadimitriou, Computational
Complexity, Addison-Wesley Publishing
Company, Reading, MA, 1994.
but I will not be expecting you to have looked at it
(and it contains much more than what is covered
in the subject). A useful free download is the fi rst
edition of
• Herb Wilf, Algorithms and complexity. Prentice
Hall, Inc., Englewood Cliffs, NJ, 1986.
This subject will take a slightly different focus to
Wilf’s book, but there is substantial common ground
and you should be able to easily fi nd legitimate
free pdf copies of this book on the web (from Wilf’s
webpage for example). (The second edition is not
free but is also worthwhile! Corrections to the fi rst
edition have been made and further exercises
added).
ASSESSMENT
I’m open to negotiation, but the proposal is:
• Two assignments (total: 50%), due in during
the start of week 3 and the middle of week 4.
Precise dates to be announced.
• Take-home exam (50%). Handed out at the
end of the School and due in by 5pm Friday 12
February.
SUBMITTING ASSIGNMENTS AND THE EXAM
BY FAX, EMAIL OR MAIL
Assignments and the exam may be submitted
in person, by fax (03 9479 2466) or by email
(M.G.Jackson@latrobe.edu.au), or by registered
mail to:
Marcel Jackson
Department of Mathematics and Statistics
La Trobe University
Bundoora 3086
Further details on exam submission will be provided
toward the end of the Summer School.
LATE SUBMISSION POLICY
Because of the short duration of the Summer
School, it’s important that I can mark assignments
and get them back to you as soon as possible, so
you can get some feedback. For this reason, and for
consistency across the Summer School subjects,
there will be little fl exibility on submission of late
assignments:
Your mark (whether it be for an assignment or the
exam), will be multiplied by 48/(48 + x), where x is
the number of hours late.
No assignments will be accepted after students’
answers have been returned.
RESOURCES
Lecture notes
Lecture notes will available for download in due
course, and a printed copy of the Lecture notes will
be provided for students registered in this subject.
This subject will follow the lecture notes reasonably
closely, though there is slightly more material in the
notes than what we will cover.
Printed notes
Four appendices to the printed notes. These will be
provided as part of the printed notes, but are also
available on the web site for preliminary reading.
• Chapters 13 and 14 are the most important
assumed information.
• Chapter 12 is not strictly necessary and should
be considered as supportive information rather
than required information.
• Chapter 15 will be covered briefl y in the
lectures.
19

20
SUBJECT GUIDE
MEASURE THEORY (MTH)
MARTY ROSS
SYNOPSIS
Measure theory is the modern theory of
integration, the method of assigning a
“size” to subsets of a universal set. It is
more general, more powerful and more
beautiful (though also more technical) than
the classical theory of Riemann integration.
The course will be a reasonably standard
introduction to measure theory, with some
emphasis upon geometric aspects. We
will cover most (but defi nitely not all) of
the topics listed below, subject to time and
taste:
• General Measure Theory (Outer
measure, Measurable sets, Borel and
Radon measures, the Caratheodory
criterion for Borel measures)
• Special Measures on Euclidean
Space (Lebesgue measure, Hausdorff
measure, the Vitali Covering Theorem,
Hausdorff dimension)
• Integration (Measurable functions,
integration and convergence theorems,
the Area Formula, iterated integrals
and Fubini’s Theorem)
• Functional Analysis (Measures as
linear functionals, Lp spaces, Riesz
Representation Theorems)
• Further Topics (Differentiation
of measures, the Generalised
Fundamental Theorem of Calculus, the
Co-Area Formula)
CONTACT HOURS
7 hours of lectures per week, with consultation as
requested/required. Information on timetabling is
located at the back of this booklet and also on the
Timetable web page.
PREREQUISITES
We’ll assume familiarity with the fundamental
concepts of analysis in Euclidean Space (infs
and sups, open and closed sets, continuity,
completeness and compactness, countability). Some
corresponding familiarity with these notions in metric
spaces would be helpful but will not be assumed;
familiarity with these notions in topological spaces
would be just peachy.
BACKGROUND
Lecture notes summarising the relevant background
on sets and real analysis are available on the web.
Some (but defi nitely not all) of this material will be
reviewed and covered along the way, particularly the
material on metric spaces and topological spaces.
Before the summer school begins, you should
defi nitely take a good look at the background notes
and, if need be, browse through a real analysis text
or two.
ASSESSMENT
I’m open to negotiation, but the proposal is:
• Problems assigned during lectures (50%);
• Take-home exam (50%).
RESOURCES
Lecture notes
Lecture notes will be provided for this course.
Textbooks
For technical reasons due to our approach, there
is no one good textbook for us to follow. However,
there are many excellent books on analysis and
measure theory, which would be very useful to have
on your desk. Please raid your uni library before
coming to the Summer School. Also, be sure to bring
documentation to be able to borrow from La Trobe
University Library. Two good texts are Real Analysis
by Royden, and Foundations of Real and Abstract
Analysis by Bridges. Texts which cover probability
as well will be less useful, as the language and
approach tend to be quite different.

22
MAP
CITY
CBD

24
MAP
FEDERATION
SQUARE
Corner Swanston + Flinders Street
Melbourne, Australia
fedsquare.com

MAP
LA TROBE
UNIVERSITY
AERIAL
MELWAYS MAP 19
UBD MAP 195
25

26
MAP
LA TROBE
UNIVERSITY
CAMPUS

28
MAP
TRAM
ROUTE 86
Bundoora RMIT – Waterfront City Docklands
291009
Route 86 via Preston > Northcote > Fitzroy > City
Estimated peak
hour travel times
11 mins
8
8
10
7
7
7
14
8
Streets
travelled
*Stop 71
D11
86
Clements Dr RMIT West Campus ⁄ University Hill �
Grimshaw St �
La Trobe University Kingsbury Dr �
Reservoir District Secondary College
Tyler St �
Murray Rd �
Bell St � Bell �
PRESTON
Dundas St South Preston Shopping Centre �
Separation St
NORTHCOTE
Westgarth St � Westgarth �
Clifton Hill � Clifton Hill �
86
BUNDOORA RMIT
RMIT East Campus ⁄ McKimmies Rd �
Northcote Central Shopping Centre
Northcote Shopping Plaza � Northcote �
Johnston St �
Gertrude St
Brunswick St � 112
Melbourne Museum
Victoria Pde Eye & Ear Hospital ⁄ St Vincent’s Hospital � 24, 30 �
Spring St Parliament of Victoria ⁄ Princess Theatre � Parliament
Swanston St Melbourne Town Hall � 1, 3, 3a, 5, 6, 8, 16, 64, 67, 72
Elizabeth St GPO ⁄ Bourke St Mall � 19, 57, 59
Queen St �
William St � 55
Spencer St � Southern Cross � 75, 96 �
Etihad Stadium
WATERFRONT CITY
DOCKLANDS
CITY SAVER
Ticketing zones
PLENTY RD
QUEENS PDE ⁄
SMITH ST GERTRUDE ST
BOURKE ST
NICHOLSON ST
City Saver
Zone 1
Zone 2
HIGH ST
LA TROBE ST EXT ⁄
DOCKLANDS DR
SPENCER ST
70
65
60
57
52
49
45
42
33
27
25
19
15
13
12
11
9
6
5
4
3
1
D1
FITZROY
CITY
Docklands Dr
Connecting train
Connecting tram
Connecting bus
Platform stop
Darebin Sports Centre ⁄
Gremel Rd �
Carlton Gardens ⁄
Royal Exhibition Building ⁄ Gertrude St � 96
Effective Nov 2009
*Not all stops shown
For train, tram and bus information
call 131 638 / (TTY) 9619 2727
(6am–midnight daily) or visit
metlinkmelbourne.com.au
Metcard Helpline
1800 652 313 (incl. TTY)

TRAVEL INFORMATION
GETTING TO AND FROM LA TROBE UNIVERSITY
www.latrobe.edu.au/bundoora/location
La Trobe University’s Melbourne (Bundoora) campus is located in Melbourne’s northeastern
suburb of Bundoora, at the intersection of Plenty Road and Kingsbury Drive. It is
14 km from the city centre. The University is accessible by tram, train, bus, bicycle and car.
For enquiries and more information on public transport to the Bundoora Campus, please
contact the Sustainable Transport Offi ce on 03 9479 1079 or travelsmart@latrobe.edu.au
or visit the TravelSmart page for more information www.latrobe.edu.au/travelsmart/
For more information on public transport, including fares and timetables, phone Metlink on
131 638 or visit www.metlinkmelbourne.com.au or www.viclink.com.au
TRAM
Tram Route 86 runs from the Docklands through the City via Burke St, and passes through
Fitzroy, Northcote and Preston on its route past the La Trobe Medical Centre in Bundoora.
The Tram continues along Plenty Rd to its terminus at the RMIT Bundoora Campus.
Students can get from La Trobe University to the City and back using a valid Zone 1 ticket.
For printable timetables for Tram 86 visit www.metlinkmelbourne.com.au/route/view/1881
Real-time Tram 86 timetable information is available from the TramTRACKER web site.
www.latrobe.edu.au/travelsmart/public-transport/tramtracker.html
BUS
There are a number of bus routes that go directly to the Bundoora campus or link with
other services, such as trains on the Epping or Hurstbridge lines.
For links to route maps and timetables, visit the La Trobe TravelSmart web site
www.latrobe.edu.au/travelsmart/public-transport/bus.html
BUS 246 ELSTERNWICK - LA TROBE UNIVERSITY, VIA PUNT RD AND CLIFTON HILL
Use the 246 bus if you’re travelling from: Elsternwick, Richmond, Westgarth and Clifton Hill stations.
Please note: about two-thirds of the 246 buses do NOT travel all the way to the Bundoora but terminate at
Clifton Hill. At Clifton Hill you can change to the 250 bus or the 86 tram which will both take you all the way to
the Melbourne (Bundoora) Campus.
BUS 250: GARDEN CITY/PORT MELBOURNE - CITY - LA TROBE UNIVERSITY
Use the 250 bus if you’re travelling from: Port Melbourne, Flinders Street, Carlton, Westgarth and Clifton Hill.
You can also catch the 251 bus (Garden City/Port Melbourne - Northland) and change to La Trobe University
service at Clifton Hill or Northland Shopping Centre.
29

30
TRAVEL INFORMATION
BUS 340 CITY - LA TROBE UNIVERSITY VIA EASTERN FREEWAY
Use the 340/350 bus if you’re travelling from: the Melbourne CBD.
This is the fastest route to the Melbourne (Bundoora) Campus of La Trobe University from the city as it runs
express through the Eastern Freeway; estimated travelling time is 45 minutes. Sometimes this route operates
express as the 350. Departs from the corner of Flinders St and Elizabeth St, but you can also connect from
Parliament Station by walking over to the corner of Victoria Pde and Nicholson Street. Please note: This bus
does not stop between Hoddle St and and the corner Grange Rd and Darebin Rd.
BUS 350 CITY - LA TROBE UNIVERSITY VIA EASTERN FREEWAY (EXPRESS RESTRICTIONS)
Buses travelling to La Trobe University will only pick up passengers between Flinders Street Station and
the intersection of Grange Road and Christmas Street, and will only set down passengers between this
intersection onwards. Travelling from La Trobe University, buses will pick up and set down passengers from
the Melbourne (Bundoora) Campus to Waterdale Road/Barnes Way (the bus stop after Kingsbury Drive),
then only picks up passengers from Waterdale Road/Barnes Way to Grange Road/Christmas Street, then
only sets down passengers from Johnston/Hoddle Streets to Flinders Street Station.
BUS 510 ESSENDON - IVANHOE STATION, THEN THE 548 TO LA TROBE UNIVERSITY, OR
TRAM 86 AT HIGH ST
BUS 513 GLENROY STATION - ELTHAM, TO CONNECT WITH TRAM 86 AT HIGH ST
BUS 548 KEW - LA TROBE UNIVERSITY, VIA MONT PARK
Use the 548 bus if you’re travelling from: Kew and Ivanhoe.
Connects with Ivanhoe Railway Station, 24/48 trams at Burke/Doncaster Roads and 72 tram at Burke/
Whitehorse Roads.
The 548 is a good bus to use if travelling from Boroondara (Kew, Hawthorn, Camberwell, etc). Catch a train
to Camberwell, then the 72 tram up Burke Road where you can change to the 548 bus to La Trobe University.
BUS 550 NORTHLAND - LA TROBE UNIVERSITY
Use the 550 bus if you’re travelling from: Northland Shopping Centre.
Approximately 15-20 minute trip and you can travel on the bus with either a Zone 1 or a Zone 2 ticket.
If you live on campus, this is a great bus to catch to the movies and the shops at Northland. It runs limited
service in the evenings and on the weekends though, so make sure you check the timetable.
BUS 551 HEIDELBERG - LA TROBE UNIVERSITY
Use the 551 bus if you’re travelling from: The Melbourne CBD and Heidelberg.
Buses run regularly in the morning and on the return trip in the evenings. The trip takes about 20 minutes and
you can travel on the bus with either a Zone 1 or a Zone 2 ticket.
If you’re coming from the city, a good route is to catch the train out to Heidelberg and then the 551 bus to the
Melbourne (Bundoora) Campus. You can travel the whole way on a Zone 1 ticket.
BUS 560 BROADMEADOWS - GREENSBOROUGH STATION, TO CONNECT WITH TRAM 86 AT
GRIMSHAW/PLENTY RD
BUS 561 MACLEOD - RESERVOIR, VIA LA TROBE UNIVERSITY
Use the 561 bus if you’re travelling from: Macleod or Reservoir stations, Greensborough, Eltham and Epping.
The 561 links La Trobe University’s Melbourne (Bundoora) Campus with the Macleod station on the Hurstbridge
line and the Reservoir station on the Epping line. So, if you live on either of these train lines you can catch public

TRAVEL INFORMATION
transport right to the University. The 561 accepts both Zone 1 and 2 tickets between Reservoir and La Trobe
University, however, the section between Macleod and La Trobe University requires a Zone 2 ticket.
BUS 562 HUMEVALE - GREENSBOROUGH SHOPPING CENTRE, TO CONNECT WITH TRAM 86
AT PLENTY/MCKIMMIES RD
BUS 563 NORTHLAND SHOPPING CENTRE - GREENSBOROUGH PLAZA SHOPPING CENTRE,
VIA MILL PARK
Travel on this bus to La Trobe University from: Mill Park. Not recommended for commuting to the University. The 563
bus follows a very circular route and there are usually better public transport routes from places along the route.
BUS 564 EPPING SHOPPING CENTRE - NORTHERN HOSPITAL, TO CONNECT WITH TRAM 86
ON PLENTY RD
BUS 566 LALOR - NORTHLAND, VIA KINGSBURY, GREENSBOROUGH, WATSONIA,
BUNDOORA, MILL PARK
Not recommended for commuting to the University. The 566 bus follows a very circular route and there are
usually better public transport routes from places along the route.
BUS 572 DOREEN - UNIVERSITY HILL (VIA BLOSSOM PARK, MILL PARK, BOTANICA PARK),
TO CONNECT WITH TRAM 86 ON PLENTY RD
BUS 903 (SMARTBUS) MORDIALLOC TO ALTONA, VIA BOX HILL, DONCASTER, HEIDELBERG,
COBURG AND ESSENDON, CONNECT WITH 551 BUS AT HEIDELBERG OR TRAM 86 ON
PLENTY RD
BUS 958 - NIGHTRIDER - MELBOURNE CITY - ELTHAM VIA SMITH STREET, DAREBIN ROAD
NightRider is a bus service that provides a safe, easy and inexpensive way to travel after midnight on weekends.
All you need is a valid Metcard to jump on board.
Buses run every 30 minutes 12.30am - 4.30am on Saturday mornings and 12.30am to 5.30am on Sunday mornings.
There are additional buses on selected routes and special services may operate for major events.
Routes from the City to the suburbs, departing from Swanston Street (between Flinders and Collins Streets)
The Nightrider service stops at La Trobe University Bundoora every 60 minutes from 1:02am to 5:02am on Saturday
morning and to 6:02am on Sunday morning. On request the Nightrider Bus will drive into the University Campus for
La Trobe University students.
BY BICYCLE
The La Trobe University Bundoora Campus is situated beside the Darebin Creek Bike Trail,
which runs from the Northern Ring Road to Alphington.
There are also clearly marked cycling routes from Macleod and Reservoir railway stations.
Bicycles can be carried free of charge on all metropolitan trains.
There are many parking options on campus including a free secure storage and change
facility called the CycleSmart Centre, personal bike lockers and public parking rails.
www.latrobe.edu.au/travelsmart/cycling-and-walking/
31

32
TRAVEL INFORMATION
BY CAR
All car parking spaces at the Melbourne (Bundoora) campus require a valid permit. All
vehicles (other than motorcycles) wanting to use the campus’s car parks must have either
a current monthly/yearly permit or a daily vending machine ticket.
Daily vending machine tickets are valid for the white bays only and are $5 per day. Monthly
parking permits are available for $36.
Spaces for disabled drivers are available in most of the car parks closest to the University
buildings. Car parks 1 and 8 also have a number of disabled bays. Visit Traffi c and Parking
for further information please visit
www.latrobe.edu.au/traffi cparking
BY TAXI
Taxis are generally an expensive way to travel. The following companies offer services in
and around Melbourne, and you phone them directly to book a taxi.
• North Suburban Taxis: 13 1119
• Silver Top Taxis: 13 1008
• Black Cabs: 13 2227
GETTING FROM MELBOURNE CBD TO LA TROBE UNIVERSITY
There are many public transport options from the Melbourne CBD to the Bundoora
Campus as indicated on the previous pages. Some popular routes include:
TRAM ROUTE 86 runs from Waterfront City (Docklands) along Bourke St. Students depart at the La Trobe
University Medical Centre. Travel time: 45-60 mins.
EPPING LINE TRAIN to Reservoir (Zone 1 or 2) and connect with Bus 561 (Zone 1 or 2). Travel time: 40-60
mins.
HURSTBRIDGE LINE TRAIN to Heidelberg (Zone 1) and connect with Bus 551 (Zone 1 or 2). Travel time:
40-60 mins.
HURSTBRIDGE LINE TRAIN to Macleod (Zone 2) and connect with Bus 561 (Zone 1 or 2). Travel time:
40-60 mins.
BUS 340 or BUS 350 departs cnr Russell and Flinders St and travels near Parliament Station with a stop
outside St Vincent’s Hospital on cnr Victoria St and Nicholson St. Travel time: 40-50 min. Frequency: 30 min.
www.latrobe.edu.au/bundoora/location/cbd-bundoora
OTHER POPULAR ROUTES
For popular routes from the Eastern, Southern, South-Eastern or Western Suburbs to
La Trobe University, please visit http://www.latrobe.edu.au/bundoora/location

SERVICES ON CAMPUS
LIBRARY ACCESS
Students enrolled in the Summer School have access to the La Trobe University Library.
To gain access to library facilities, individuals are required to visit the library’s Enquiry
Desk. When students visit the library for the fi rst time, the library will attach a barcode to
their student card and create a library record allowing individuals access to the following
services:
• total item limit: 10
• loan period: 14 days
• holds: 8
• renewals: 3
Students can then use their student card from their home university to gain access to
La Trobe University Library facilities.
Please note where a student card does not include an identifying photograph, the student
is required to purchase a library card.
For more information on the La Trobe University Library, please visit www.lib.latrobe.edu.au
COMPUTER AND INTERNET ACCESS
Summer School students have username/password access to computers and internet
through the Study Hall. Students are able to print from the Study Hall and are provided
credit of $10.
Additional credit can be purchased by students. There are three options available to add
credit to your newly activated Transact La Trobe print & copy account:
• Cash reload station – view all locations go to: www.latrobe.edu.au/campusgraphics/
transact/ and click on “Add money (Reload options)”
• EFTPOS – La Trobe University Library
• Reload on-line - via web browser anywhere at the Transact web page
www.latrobe.edu.au/campusgraphics/transact/reload_online
Instructions on adding money at any of the devices mentioned above are clearly
demonstrated on or near the device or visit the following web site
www.latrobe.edu.au/campusgraphics/transact/ and click on “Add money (Reload Options)”.
Computer Studyhall
Studyhall Building (between Glenn and Menzies Colleges)
T: 1300 786 535
T: 03 9479 3694
E: studyhall@latrobe.edu.au
33

34
SERVICES ON CAMPUS
THE AGORA
The Agora at La Trobe University’s Melbourne (Bundoora) campus is a central meeting
area that includes the following services and facilities:
• coffee shops and juice bars
• food outlets (including vegetarian and halal food options)
• milkbar and general store
• post offi ce
• ATMs and banks
• various retail outlets (including bookshop, hairdresser and travel agent)
www.latrobe.edu.au/life/services
MEDICAL CENTRE
La Trobe University Medical Centre is located inside the La Trobe Private Hospital next to
the La Trobe University campus on on Plenty Road. The Medical Centre also includes a
Chemist and free patient parking.
LaTrobe University Medical Centre
Corner of Plenty Road & Kingsbury Drive, Bundoora
T: 03 9473 8885
Opening hours: 8.30am-5:00pm Monday to Friday
www.travelvax.com.au/home/clinics/latrobe.html
DEPARTMENT OF MATHEMATICS AND STATISTICS
Wireless internet is available in Mathematics and Statistics building Physical Sciences 2.
For more information on undergraduate and postgradute courses in mathematics and
statistics, please visit the department:
Department of Mathematics and Statistics
Building Physical Sciences 2
La Trobe University, Bundoora Victoria 3086
T: +61 (0)3 9479 2600
F: +61 (0)3 9479 2466
E: mathstats-enquiries@latrobe.edu.au
Enquiry Desk opening hours: 10:00am - 11:00am, 2:00pm - 3:00pm Monday to Friday
(except Wednesdays 10:00am - 11:00am only).
www.latrobe.edu.au/mathstats

SERVICES ON CAMPUS
SPORTS CENTRE
Students are able to access the facilities of the La Trobe Sports Centre.
Students who wish to use the sports centre should purchase a month’s membership (cost
$16.30) which will be reimbursed by the Summer School upon presentation of a receipt.
The membership gives students a reduced price for use of the sports centre facilities.
MEMBERSHIP AND PASSES
SPORTS CENTRE
MEMBERSHIP
1 Month Membership $16.30
Guild Members receive discounts
on Sports Centre Memberships
GOLD PASS
The Gold Pass includes unlimited
use of the Gymnasium, Pool and
Group Exercise classes.
1 Month Pass $51.30
POOL PASS
1 Month Pass $20.00
Note: During January
maintenance is carried out on the
pool heating system and the pool
temperature can drop down to
20°C. At this time Sports Centre
showers are also cold.
Sports Centre
www.latrobe.edu.au/sport
T: 03 9479 2973
E: sport@latrobe.edu.au
CASUAL VISITS/DISCOUNTS
GYMNASIUM
Members per visit $6.30
Non-members per visit $12.60
Discount Card (12 visits)
Members $63.00
Non-members $126.00
FITNESS TEST
Fitness tests are available for
users, provided that they have a
Discount Card or Gold Pass.
GROUP EXERCISE
Members per visit $4.20
Non-members per visit $8.40
Discount Card (12 visits)
Members $42.00
Non-members $84.00
Please ask at Reception for
Group Exercise timetable
or visit the below website
POOL
Members per visit $2.20
Non-members per visit $4.40
Discount Card (12 visits)
Members $22.00
Non-members $44.00
COURT HIRE
FIELD HOUSE
The Field House has a Basketball
court, three Badminton
courts, a Netball court and two
Volleyball courts.
For the safety of other patrons,
groups playing Australian
Rules, Soccer, Cricket and
Hockey must book the entire
Fieldhouse.
HIRE FEES PER HOUR
Volleyball
Members $13.20
Non-members $26.30
Basketball/Netball/Soccer
Members $21.00
Non-members $42.00
TENNIS, BADMINTON &
SQUASH
Hire Fees per Hour
Members $10.30
Non-members $20.50
Racquet Hire (per racquet) $4.00
Balls and shuttles may be
purchased from Sports
Reception.
Table Tennis facilities available.
35

36
SUMMER SCHOOL EXCURSIONS
VISIT TO FEDERATION SQUARE SUNDAY 17 JANUARY
FED 2
TIME: FROM 10:00AM. SELF GUIDED TOUR. IT IS RECOMMENDED YOU BEGIN AT THE
FEDERATION SQUARE VISITOR CENTRE (OPPOSITE FLINDERS STREET STATION)
LUNCH: PROVIDED AT TJANABI RESTAURANT FED SQUARE
BRING: HAT AND SUN PROTECTION, TJANABI VOUCHER, SUNDAY SAVER TICKET
An excursion on Sunday 17 January will take the Summer School to Federation Square,
Melbourne, or Fed Square as it is usually known. The idea of this is to encourage Summer
School participants from interstate to get used to the Melbourne transportation system, and
to explore Melbourne. You will fi nd in your Summer School bag a Sunday Saver transport
ticket. Use your ticket to travel to Fed Square by the following suggested routes or refer to
the Travel Information section earlier for other possible public transport routes.
TRAM 86: From Stop 60-La Trobe University/Plenty Rd, take the Route 86 tram towards City (Docklands).
Get off at Stop 6-Swanston St/Bourke St (Melbourne City) and walk about 570 metres to corner of Flinders
Street and Swanston Street.
BUS 250: From Stop La Trobe University Bus Interchange/Kingsbury Dr (Bundoora) Platform Bay 5, take
the Route 250 bus towards Garden City. Get off at stop Banana Alley Vaults/Flinders St (Melbourne City) and
walk about 610 metres to corner of Flinders Street and Swanston Street
TRAIN HURSTBRIDGE LINE: Walk 3 kilometres to Macleod Railway Station (Macleod) Platform 1 or
connect with Bus 561 (Zone 1 or 2). Take the train towards Parliament. Get off at Flinders Street Railway
Station (Melbourne City) Platform 1.

WHY VISIT FED SQUARE?
Melbourne is a mathematical tourist destination because of
its architecture of mathematical interest; as Ed Pegg Jr
says, “When it comes to the best place on earth
for eye-popping mathematical art on a huge
scale, no place on Earth seems to
compare with Melbourne’’.
Fed Square is certainly Melbourne’s most mathematically important building. Its tiling is
aperiodic in a remarkable manner: the tiling is made using (congruent copies of) a single
right-angled triangle, but these triangles occur rotated at infi nitely many angles. The basic
piece is the 1;2;√5 right-angled triangle; it can be tiled by 5 similar right angled triangles:
the resulting pattern can then be reproduced inside each of these triangles, and so on. This
produces a so-called pinwheel pattern.
BUT THERE IS EVEN MORE TO FED SQUARE...
Running through Fed Square is the atrium. The steel network of the surrounding walls is
actually a three-dimensional generalisation of the facade’s pinwheel grid. A good paper
to read is Joe Hammer’s Mathematical Tourist paper in Math Intelligencer, Vol 28, no. 4,
(2006) 44-48. More references are given below. The key work in this area was Charles
Radin’s 1994 Annals of Math paper. The remarkable Fed Square tiling is apparently due to
John Horton Conway.
OTHER REASONS FOR VISITING FED SQUARE
Fed Square is the Melbourne meeting place. It’s close to the heart of Melbourne, and many
restaurants. It’s the location of many events and is across the river from NGV (National
Gallery of Victoria). Incidentally, the best place to view the Australia Day fi reworks is along
the Yarra River near Federation Square. The fi reworks usually start at around 9:15pm.
MORE ABOUT THIS EXCURSION AND LUNCH
The excursion is not an organised trip in the usual sense; we’re not arranging for Summer
School participants to all meet together at Fed Square or providing guided tours. You are at
liberty to come at any time on the 17th and explore.
We simply hope that people will take this opportunity to visit Fed Square, and as an
incentive, we have arranged lunch for you in the Tjanabi restaurant located in the Fed
Square Atrium, at the Flinders Street end, which mathematically, is the most interesting
part of Fed Square.
Information about the Tjanabi restaurant can be found at www.tjanabi.com.au.
In your Summer School bag, you will fi nd a voucher that you can use in the Tjanabi
restaurant to purchase a Foccacia or Panini (with various choices of fi llings), a small
dessert or biscuit and a soft drink.
Note: you can use the voucher only on 17 January at any time up until 3pm.
37

38
SUMMER SCHOOL EXCURSIONS
FURTHER REFERENCES
• Burkard Polster and Marty Ross have a very nice introduction to Fed Square:
www.qedcat.com/archive/federation.html
• Paul Bourke’s website: local.wasp.uwa.edu.au/~pbourke/texture_colour/nonperiodic/
• Ed Pegg’s page: www.maa.org/editorial/mathgames/mathgames_09_05_06.html
• Wiki has some good sites:
en.wikipedia.org/wiki/Pinwheel_tiling
en.wikipedia.org/wiki/Federation_Square
For more mathematical sites close to Fed Square, see Burkard and Marty’s pages:
• www.qedcat.com/archive/Excarvating.html
• education.theage.com.au/cmspage.php?intid=147&intversion=30
Tjanabi Restaurant
• www.tjanabi.com.au

40
SUMMER SCHOOL EXCURSIONS
VISIT TO HANGING ROCK
SUNDAY 24 JANUARY
MEETING TIME: 9:00AM AT MENZIES
COLLEGE FOR TRAVEL BY BUS
BRING: HAT, SUN PROTECTION,
COMFORTABLE SHOES AND WATER
Hanging Rock is an unusual volcanic
formation about 1 hour north of
Melbourne. The small hill is covered by
an atmospheric labyrinth of gnarled rocky
spires and provides pleasant views of
the surrounding plain and its bordering
ranges. It was the the setting of Peter
Weir’s famous Australian fi lm Picnic at
Hanging Rock, based on a novel of the
same name by Joan Lindsay.
www.hangingrock.info
Image © Macedon Ranges Shire Council

http://www.travelvictoria.com.au/oceangrove/photos/
vasilisandmavra.wordpress.com
VISIT TO LORNE
VIA GREAT OCEAN ROAD
SUNDAY 31 JANUARY
MEETING TIME: 9:00AM AT MENZIES
COLLEGE FOR TRAVEL BY BUS
BRING: HAT, SUN PROTECTION,
COMFORTABLE SHOES AND WATER
Set between the waters of Loutit Bay
and the cool Otway forests, Lorne
has a charm that’s hard to surpass.
Add mild weather, café culture, shops,
boutiques and galleries and you have
one of the Great Ocean Road’s most
popular stopovers.
www.greatoceanrd.org.au
www.visitvictoria.com
41

42
GRADUATE STUDY AT LA TROBE
DISCOVER MATHEMATICS AND STATISTICS AT LA TROBE
La Trobe University has a reputation as one of Australia’s most progressive teaching
departments in the mathematical sciences, a place where students can actively learn
mathematics and statistics in an informal environment. The fi rst university in Australia to
have its statistics program accredited by the Statistical Society of Australia Inc., La Trobe
University’s mathematics and statistics research department is highly active.
If you are interested in postgraduate study in mathematics or statistics, you have come to
the right place!
HONOURS
La Trobe University offers students the opportunity to pursue Honours studies in
mathematics, statistics or both mathematics and statistics.
• variety of Honours thesis topic and subject offerings
• access to Key Centre for Statistical Science (KCSS) units
• remote unit studies via the Access Grid Room (AGR)
www.latrobe.edu.au/mathstats/honours
POSTGRADUATE
La Trobe University offers PhD and Masters by research in both mathematics and statistics
across a broad range of research areas. Scholarships are available for both Australian and
International students undertaking research studies.
• Postgraduate studies by research including Master of Science Degree (MSc) and Doctor of Philosophy
Degree (PhD) degree offerings
• Postgraduate studies by coursework including Graduate Diploma in Mathematical and Information
Sciences, Postgraduate Diploma in Science (Statistics) and the Master of Statistical Science (MStatSci)
www.latrobe.edu.au/mathstats/future-postgrads
RESEARCH AREAS
Honours and Postgraduate research areas have included:
• mathematics: dynamical systems, chaotic and integrable systems, numerical methods,
differential geometry, general algebra, noncommutative dynamical systems, approximation
theory, statistical mechanics, graph theory and topological dynamics
• statistics: theory of statistical inference, statistical modelling, dimension reduction, exact
confi dence intervals from count data, the effect of model selection on subsequent inference,
robust statistics, time series analysis, foundations of statistical inference and biostatistics.
For more information or advice, please contact the
Department of Mathematics and Statistics.
T: +61 (0)3 9479 2600
E: mathstats-enquiries@latrobe.edu.au
W: www.latrobe.edu.au/mathstats
CRICOS Provider: 00115M

PLACES TO EAT AND GO
EATING AT LA TROBE UNIVERSITY
There are three lunch time eating areas at La Trobe.
THE AGORA
COORDINATES G5 ON LA TROBE MAP (PAGE 26)
The Agora houses a wide selection of food outlets on
both levels.
THE UNION
COORDINATES H7 ON LA TROBE MAP (PAGE 26)
The Union houses The Eagle Bar, downstairs,
which is licensed and serves bistro style food. Ping’s
Chinese and Cafe Moat are located on the middle
level.
ADAMS
JOHN SCOTT MEETING HOUSE, COORDINATES J4 ON
LA TROBE MAP (PAGE 26)
Restaurant-style dining.
www.latrobe.edu.au/bg/bundoora/dining.html
GETTING OUT
Wildlife Sanctuary Tours
The La Trobe Wildlife Sanctuary
run tours regularly on the third
Wednesday of every month,
with extra tours during school
holidays. Choose daytime or
twilight tours.
E: wildlife@latrobe.edu.au
www.latrobe.edu.au/wildlife/
experiences/tours
La Trobe University Art
Museum (including the
Sculpture Park)
ON CAMPUS AT GLENN COLLEGE
Exhibition hours:
Tues - Fri, 11:00pm - 5:00pm
T: 03 9479 2111
E: artmuseum@latrobe.edu.au
www.latrobe.edu.au/artmuseum
Bundoora Park
TAKE TRAM 86, BUS 563 OR A
5-10 MINUTE WALK
1069 Plenty Road, Bundoora
Bundoora Park provides a wealth
of activities and experiences.
Cooper’s Settlement, Heritage
Village, farm animals, golf course,
visitor’s centre and cafe, or just
relax in the many beautiful picnic
areas.
T: 03 8470 8170
www.bundoorapark.com.au
43

44
PLACES TO EAT AND GO
EATING NEAR LA TROBE
BUNDOORA
TAKE TRAM 86 FROM STOP 60 ALONG PLENTY ROAD
AWAY FROM THE CITY.
Namaste Indian Restaurant
16 McLeans Rd Bundoora | 03 9467 1868
www.namasteindian.com.au
Sontaya Thai Restaurant
Shop 4/1191 Plenty Rd Bundoora | 03 9467 9991
www.sontaya.com.au
MACLEOD
TAKE BUS 548 COTHAM ROAD KEW VIA MACLEOD,
(SPRINGTHORPE BOULEVARD) TO LA TROBE
UNIVERSITY
Mad Megs Pizzeria
34 Springthorpe Blv Macleod | 03 9455 2499
(note: closed until 19 Januray)
TAKE BUS 561 RESERVOIR MACLEOD VIA KINGSBURY,
LA TROBE UNIVERSITY
Giardino Cafe Bar Cucina
72 Aberdeen Rd Macleod | 03 9455 3472
IVANHOE
TAKE BUS 548 KEW - LA TROBE UNIVERSITY
Royal Garden Chinese Restaurant
59 Upper Heidelberg Rd | 03 94974544
Café Saffron Indian
238 Upper Heidelberg Rd | 03 9497 1084
Va Tutto Italian
226 Upper Heidelberg Rd | 03 9499 7769
HEIDELBERG
TAKE BUS 551 HEIDELBERG - LA TROBE UNIVERSITY
Pizzeria Amici
100 Burgundy Street | 03 9459 0907
GETTING OUT
Northland Shopping Centre
TAKE BUS 550 NORTHLAND -
LA TROBE UNIVERSITY
Go see a feature fi lm at the
cinemas or do some shopping.
www.northlandshopping.com.au
The Thornbury Theatre
TAKE TRAM 86 TO STOP 41
859 High Street Thornbury
A majestic and unique venue on a
truly grand scale. Watch theatre,
plays and live music.
www.thethornburytheatre.com
Northcote Social Club
TAKE TRAM 86, ON HIGH. ST,
BETWEEN STOPS 33 AND 31
301 High St, Northcote
Get a pint or pot, order food from
the kitchen or go see live music in
the bandroom.
www.northcotesocialclub.com
The Peacock Hotel
TAKE TRAM LINE 86, ON HIGH. ST,
BETWEEN STOPS 33 AND 31
210 High St., Northcote
Lounge, cafe, local pub with
Wednesday night trivia.
www.peacockinnhotel.com.au

PLACES TO EAT AND GO
EATING NEAR THE CITY
THORNBURY
TAKE TRAM 86, HIGH ST, BETWEEN STOPS 42 AND 40.
Loui & Franko’s Pizza & Pasta Restaurant
827-829 High Street | 03 9484 6691
NORTHCOTE
TAKE TRAM 86, HIGH ST, BETWEEN STOPS 33 AND 31.
Pizza Meine Liebe Wood Fired Pizza
231 High Street Northcote | 03 9482 7001
I Saluti Wood Fired Pizza Pasta and Risotto
232 High St. Northcote | 03 9489 9444
www.isaluti.com.au
Otsumami Japanese
257 High Street | 03 9489 6132
Downunder Curry Indian and Nepalese
417 High Street | 03 9486 5333
Inthanon Thai
182 High Street | 9489 4970
Lambs Restaurant Souvlaki
305 High Street Northcote
EATING CLOSE TO THE CITY
CARLTON
You’ll fi nd a large array of food options in Carlton.
There are too many to list. It’s worth a visit!
TAKE BUS 250 GARDEN CITY/PORT MELBOURNE -
CITY - LA TROBE UNIVERSITY
Tiamo Restaurant & Bistro
303 Lygon St, Carlton | 03 9347 5759
www.tiamo.com.au
FITZROY
TAKE TRAM 86 TO BRUNSWICK STREET STOP 13
The Vegie Bar (cheap vegetarian eats)
380 Brunswick St Fitzroy | 03 9417 6935
www.vegiebar.com.au
GETTING OUT
Casa del Gelato
TAKE BUS 250 TO CARLTON
165 Lygon Street, Carlton
Enjoy a warm Melbourne night by
taking a stroll down Lygon Street.
Then cool down at Casa del
Gelato by selecting from a large
range of fl avours including vegan.
Melbourne Museum
TAKE TRAM 86 TO STOP 11
11 Nicholson Street, Carlton
Located in Carlton Gardens,
housing eight permanent
galleries, explore our natural
environment, culture and history.
Strike Bowling at QV
TAKE TRAM 86 TO STOP 6
245 Little Lonsdale, Melbourne
Mini burgers, mushroom and
oregano tartlets, pizza and
beverages and of course-bowling!
www.strikebowlingbar.com.au/
city-qv-vic/strike-qv
The Croft Institute Bar
TAKE TRAM 86 INTO THE CITY
25 Croft Alley, Melbourne
In the heart of Chinatown, this
novel bar has Bunsen burners,
test tubes and a Periodic Table.
www.thecroftinstitute.com.au
45

46
PLACES TO EAT AND GO
IN THE CITY
MELBOURNE
TAKE TRAM 86 TO MELBOURNE CITY STOPS 9
THROUGH TO 1
There are endless eating options in Melbourne. From
cafes and restaurants to tapas bars and unique
lounges. Eat nearby the Yarra River and Federation
Square or or take a stroll to Little Burke Street’s
Chinatown.
Here are a few places to take you around some of
Melbourne’s major eating areas.
Kura Yakitori Bar
1 Malthouse Lane Melbourne | 03 9654 7454
http://www.kura.com.au/yakitori.htm
Trunk
275 Exhibition St, Melbourne (cnr Lt Lonsdale St)
03 9663 7994
www.trunktown.com.au
Waffl e On
Degraves St, Melbourne (just off Flinders Lane)
Melbourne Hwaro Korean Barbecue
562 Little Bourke St, Melbourne | 03 9642 5696
The Lounge
243 Swanston St, Melbourne | 03 9663 2916
www.lounge.com.au
Cookie
1/252 Swanston St, Melbourne | 03 9663 7660
www.cookie.net.au
Wagamama Japanese
83 Flinders Lane, Melbourne | 03 9671 4303
www.wagamama.com.au
ACMI Lounge
Federation Square, Flinders Street, Melbourne
www.acmi.net.au/acmi_lounge.htm
GETTING PLACES TO OUT GO
Australian Open Tennis
18 - 31 January
TAKE TRAM 86 INTO THE CITY,
THEN TAKE TRAM 70 TOWARDS
WATTLE PARK/ROD LAVER ARENA
Melbourne Park
www.australianopen.com
20/20 Cricket
Victoria v Tasmania
6:45pm 15 January
Australia v Pakistan
7:30pm, 5 February
TAKE TRAM 86 INTO THE CITY,
THEN TAKE TRAM 70 TOWARDS
WATTLE PARK
Melbourne Cricket Ground (MCG)
www.cricket.com.au
ACMI at Fed Square
TAKE TRAM 86 INTO THE CITY
Federation Square, Flinders
Street, Melbourne
A world of fi lm, television and
digital culture.
www.acmi.net.au
Rooftop Cinema
TAKE TRAM 86 TO STOP 6
252 Swanston Street, Melbourne
(On top of Curtin House)
Film screenings after dark, on top
of Curtin House.
www.rooftopcinema.com.au

TIMETABLE
A current timetable including updates is available from the Summer School website:
www.latrobe.edu.au/mathstats/summerschool/timetable
47

48
EMERGENCY CONTACTS
La Trobe University Melbourne (Bundoora) campus has an excellent safety record and a
24-hour security presence, with security offi cers available at all times to provide assistance
and support.
24-HOUR SECURITY HOTLINE
A 24-hour security hotline is available for emergencies.
Phone 1800 800 613 (free call) or, if dialing internally, use extension 2222.
AFTER HOURS SECURITY ESCORTS
The security escort service commences after 9:00pm and ceases at 5:30am. It provides
individual escorts on campus. This service is provided for people who are alone or in pairs
and who feel uncomfortable walking in the dark.
To arrange for this service please phone security on 03 9479 2012.
SECURITY ACCESS PHONES
A number of buildings have direct security access phones. Simply lift the handset and the
phone will automatically contact security.
POLICE
General enquiries 03 9247 6666
Police Stations – 24 hours
• Reservoir 03 9460 6744
• Preston 03 9479 6111
• Preston East 03 9478 2670
• Mill Park 03 9407 3333
• Greensborough 03 9435 1044
• Melbourne (Flinders Lane)
03 9650 7077
IMPORTANT CONTACTS
Lifeline 24-hour Crisis Counselling 13 11 14
SANE Mental Illness Helpline 1800 187 263
Women’s Domestic Violence 1800 015 188
Gay & Lesbian Switchboard 03 9663 2939
Alcoholics Anonymous 03 9600 4511
Gamblers Anonymous 03 9600 4511
Victoria Legal Aid 03 9269 0234
IN AN EMERGENCY DIAL 000 FOR POLICE FIRE AMBULANCE
IN NON-EMERGENCY SITUATIONS CONTACT YOUR LOCAL POLICE
STATION ON ONE OF THE ABOVE NUMBERS