This programme is aimed at students who wish to gain a deep understanding of the concepts of modern financial mathematics and a mastery of the associated skills and technologies. Our students will become autonomous inquisitive learners capable of formulating and creatively solving relevant problems in the language of mathematics, with an emphasis on applications to finance. Our graduates will be in demand by employers in the financial services sector and academic research institutes for their ability to use the tools they have learned to explain, describe and predict. We value students who are motivated to find the underlying mathematical causes and reasons for observations and patterns. We aim to provide a teaching and learning environment that develops confidence and independence through a wide variety of interactive formats, both inside and outside the classroom, including lectures, tutorials, webwork, blackboard and computer assisted labs.

1 - Demonstrate an in-depth understanding of mathematics
2 - Use the language of logic to reason correctly and make deductions
3 - Approach problems in an analytical, precise and rigorous way
4 - Explore and manipulate abstract concepts
5 - Apply mathematical reasoning and techniques to formulate and solve financial problems
6 - Model real-world financial problems in a mathematical framework
7 - Confidently analyze and draw information from large quantities of data
8 - Analyze and interpret data, find patterns and draw conclusions
9 - Use the power of modern technology to augment mathematical problem solving
10 - Work independently and as part of a team
11 - Carry out research into a specific topic, including a survey and synthesis of the known literature
12 - Give oral presentations of technical mathematical material at a level appropriate for the audience
13 - Prepare a written report on technical mathematical content in clear and precise language

Students who return failing grades in a trimester amounting to 15 credits, or more, will be identified under the UCD Continuation – Academic Progress policy. Students whose rate of progression and performance over two academic years is deemed unacceptable will be referred to the Governing Board to be reviewed for exclusion from the programme.

Students who fail to progress from the stage of the programme they are registered to for more than two academic years (except where a period of Leave of Absence has been granted for one of those years) will also be contacted under the Continuation – Academic Progress Policy.

As Stages 3 and 4 have the most dynamic components of the programme, and the material studied previously may no longer be relevant, a student who has been away from the programme for a significant period should be required to register again to Stage 3. The upper limit for completion of Stages 3 and 4 should be six years if they choose to do 120 credits with 20 in each year.

Graduates with training in Financial Mathematics work in fields as diverse as quantitative positions in international financial companies, risk modelling in banking and insurance, computing in business, technology, research, and academia. Graduates can also pursue a range of MSc or PhD programmes such as the MSc in Actuarial Science, MSc in Financial Mathematics, MSc in Statistics or an MSc in Data Analytics.

Students must take a minimum of 50 credits of modules (cores and options) from within the BSc programme. Students may take additional modules from the option list below or alternatively, students may register to a further 10 credits of elective modules.

Module ID	Module Title	Trimester	Credits
Stage 2 Core Modules
ACM20030	Computational Science	Autumn	5
FIN20040	Foundations of Finance	Autumn	5
MATH20060	Calculus of Several Variables	Autumn	5
MATH20300	Linear Algebra 2 for the Mathematical Sciences	Autumn	5
STAT20110	Introduction to Probability	Autumn	5
ACM20150	Vector Integral & Differential Calculus	Spring	5
STAT20100	Inferential Statistics	Spring	5
Stage 2 Core Modules
Stage 2 Options - A)MIN0OF: If not previously taken in Stage 1, students enrolled to Stage 2 Financial Mathematics must take ECON10720, MATH10040 and MATH10320. Please note that students who have taken either ECON10010 Principles of Microeconomics or ECON10770 Introduction to Economics in Stage 1 are not required to take ECON10720. Students intending to progress to Stage 3 Financial Mathematics must take STAT20230 in either Stage 2 or Stage 3.
MATH10040	Numbers & Functions	Autumn	5
STAT20230	Modern Regression Analysis	Autumn	5
ECON10720	Microeconomics for Business	Spring	5
MATH10320	Mathematical Analysis	Spring	5
Stage 2 Options - A)MIN0OF: If not previously taken in Stage 1, students enrolled to Stage 2 Financial Mathematics must take ECON10720, MATH10040 and MATH10320. Please note that students who have taken either ECON10010 Principles of Microeconomics or ECON10770 Introduction to Economics in Stage 1 are not required to take ECON10720. Students intending to progress to Stage 3 Financial Mathematics must take STAT20230 in either Stage 2 or Stage 3.
Stage 2 Options - B)MIN0OF: Students must register to a minimum of 50 Programme Credits (Core/Options). Students may register to 10 Elective credits or select additional Option modules from the list below in order to fulfill their Stage requirements.
MATH20260	The Mathematics of Google	Spring	5
MATH20270	Theory of Games	Spring	5
Stage 2 Options - B)MIN0OF: Students must register to a minimum of 50 Programme Credits (Core/Options). Students may register to 10 Elective credits or select additional Option modules from the list below in order to fulfill their Stage requirements.