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Financial Mathematics  (MMCA)

BSc (NFQ Level 8) · Academic Year 2024/2025
School
School of Mathematics and Statistics
Attendance
Full Time
Level
Undergraduate
NFQ Level
8
Award
Mode of Delivery
On Campus
Programme Director
Assoc Professor Tara McMorrow
Overall Programme Credits:
240
Programme Credits:
N/A
Major/Minor Core & Option Credits:
Stage 1: 60
Stage 2: 0

Curricular information is subject to change.

If you have a strong interest in Mathematics, enjoy problem solving and are interested in how Mathematics is used in business and finance, Financial Mathematics will give you an understanding of the mathematical theories that underpin financial models, as well as computational expertise in the algorithms used to price financial products. One example of a financial model included in the course is the Black-Scholes option pricing model, dating from 1973, which is one of the earliest equations developed and used to price options. Implementations of financial models, including computer programming, form a key part of the course.

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’ performance will be reviewed at the end of the academic year. Students who fail 50% or more of their registered modules, and who fail to progress to the next stage of their programme, will be identified under the UCD Continuation – Academic progress policy. Students’ performance will continue to be reviewed in subsequent trimesters and students will be invited to meetings with the College of Science office for support and guidance.

Where the rate of progression and performance over two academic years is deemed unacceptable, a case will be submitted to the Governing Board for review. A recommendation for discontinuation may be the outcome of this review.

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.

Students may apply to study abroad for a trimester in third year in partner institutions internationally.

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 Financial Mathematics, MSc in Actuarial Science, MSc Statistical Data Analysis or an MSc in Data Analytics.

Dr Adamaria Perrotta
UCD School of Mathematics and Statistics
askscience@ucd.ie


Stage 2

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.

Below is a list of all modules offered for this degree in the current academic year. Click on the module to discover what you will learn in the module, how you will learn and assessment feedback profile amongst other information.

Incoming Stage 1 undergraduates can usually select an Elective in the Spring Trimester. Most continuing undergraduate students can select up to two Elective modules (10 Credits) per stage. There is also the possibility to take up to 10 extra Elective credits.

Module Type Module   Trimester Credits
Stage 2 Core Modules
ACM20030 Computational Science Autumn  5
Stage 2 Core Modules
FIN20040 Foundations of Finance Autumn  5
Stage 2 Core Modules
MATH20060 Calculus of Several Variables Autumn  5
Stage 2 Core Modules
MATH20300 Linear Algebra 2 for the Mathematical Sciences Autumn  5
Stage 2 Core Modules
STAT20110 Introduction to Probability Autumn  5
Stage 2 Core Modules
ACM20150 Vector Integral & Differential Calculus Spring  5
Stage 2 Core Modules
STAT20100 Inferential Statistics Spring  5
Stage 2 Options - A) Min 0 of:
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
Stage 2 Options - A) Min 0 of:
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.
STAT20230 Modern Regression Analysis Autumn  5
Stage 2 Options - A) Min 0 of:
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.
ECON10720 Microeconomics for Business Spring  5
Stage 2 Options - A) Min 0 of:
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.
MATH10320 Mathematical Analysis Spring  5
Stage 2 Options - B) Min 0 of:
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
Stage 2 Options - B) Min 0 of:
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.
MATH20270 Theory of Games Spring  5