Page 167 - 00012 TCD Undergraduate Courses 2012

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Engineering, Mathematics and Science
165
The modules offered can be grouped into four areas:
n
Pure mathematics which explores basic concepts and
abstract theories
n
Applied and computational mathematics to solve practical
problems
n
The mathematics of theoretical physics
n
Statistical models and methodology
All students take common modules in their first semester, and
gradually more choice is offered in subsequent semesters until,
as a Sophister (third and fourth-year student) you will be able
to specialise in the areas that appeal most to you.
The Freshman years
In the Junior Freshman (first) year there are core modules
in algebra and analysis, which introduce not only topics that
are fundamental to a wide range of mathematics but also
a structured way of dealing with mathematical ideas that is
absolutely universal to mathematics. They are quite intensive.
In addition, during your first semester you will be introduced to
the following topics. In the second semester, you will continue
with two of them.
n
Classical mechanics
(this leads on to many of the
mathematical modules essential for the Theoretical physics
degree)
n
Introduction to statistics
(this opens the way for many
subsequent optional modules)
n
Introduction to computer architecture and programming
(this will include practical work)
There are approximately twenty hours of classes per week
in the Junior Freshman (first) year.
In the Senior Freshman (second) year you will continue to study
algebra and analysis. In addition you will select modules of your
choice from a range that includes exploring some of the Junior
Freshman topics in greater depth, or you may choose new topics
or ‘Broad Curriculum’ modules (see p. 13). This allows you to
begin tailoring the degree to your own strengths and areas of
interest.
The Sophister years
In the Sophister (third and fourth) years you will have the
opportunity to choose subjects from a selection of over 20
wide-ranging options. Many subjects cover topics from the first
and second year, but additional possibilities include computer
engineering, mathematical economics, cryptography and
computer-aided design.
An important aspect of the course is an
independent research
project
conducted under the supervision of a member of staff.
Did you know?
n
The research of the School of Mathematics was
particularly favourably compared to research in
other Irish Mathematics departments in a recent
independent bibliometric study of the public research
base.
Assessment
You will be assessed by a combination of continuous
assessment and end-of-year examination, with all work
undertaken during your last two years counting towards your
final degree result.
Study abroad
You may choose to spend the Junior Sophister (third) year
at a European university as part of the Erasmus exchange
programme.
Career opportunities
A degree in mathematics opens up the possibility of a career
in a variety of industries and sectors. Graduates have found
employment in computing, where mathematics skills have
immediate and practical application. The financial services and
internet security sectors are also common first destinations
for graduates. Other options include statistics, teaching,
accountancy, actuarial work, finance, and all areas of pure
and applied mathematics. Many of these involve further
study or intensive research.
Further information
www.maths.tcd.ie
Tel: +353 1 896 1949