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Mathematics  (MMS1)

BSc (NFQ Level 8) · Academic Year 2025/2026
School
School of Mathematics and Statistics
Attendance
Full Time
Level
Undergraduate
NFQ Level
8
Award
Bachelor of Science
Mode of Delivery
On Campus
Programme Director
Dr Rupert Levene
Overall Programme Credits:
240
Programme Credits:
Stage 1
Core/Option: 55 Electives: 5
Stage 2
Core/Option: 50 Electives: 10
Stage 3
Core/Option: 50 Electives: 10
Stage 4
Core/Option: 60 Electives: 0
Major/Minor Core & Option Credits:
Stage 3: 50
Stage 4: 60

Curricular information is subject to change.

If you are interested in doing an Internship as part of Stage 4, you must indicate your interest now (in Stage 3).
See full details www.ucd.ie/science/careers/internships/students/

This programme is aimed at students who wish to gain a deep understanding of the concepts of modern mathematics and statistics, 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 and statistics. Our graduates will be in demand by employers and academic research institutesfor their ability to explain, describe and predict using the tools they have learned. 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 problems
6 - Model real-world 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, whether specialist or nonspecialist
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.

Each year sees new applications of sophisticated mathematical models and procedures in insurance and actuarial services, data analytics, the stock market, banking and industry. Employers in all of these areas seek mathematics graduates for their critical thinking and problem-solving skills.

Our recent graduates are working in many diverse areas, including actuarial science, banking and financial services, civil service, coding and cryptography companies, IT industry, meteorology and research.

Opportunities for further study include MSc and PhD programmes in the mathematical sciences in Ireland and abroad, leading to research positions in universities or industry.

UCD Science Office

You can contact the UCD Science Office in the following ways:




  • Submit your query using our dedicated Contact Form.

  • Drop into the office in the UCD O'Brien Centre for Science, Science East, Room E1.09. Our office opening hours are 10am to 4pm (during term time).


Stage 3

Students take 6 core modules and 4 option modules from the list given below. Elective modules may be selected from this list to complete Stage 3.
If you are interested in doing an Internship as part of Stage 4, you must indicate your interest now (in Stage 3). See full details www.ucd.ie/science/careers/internships/students/

Stage 4

Students take 7 core modules and 4 option modules from the list given below.

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 3 Core Modules
MATH30030 Advanced Linear Algebra Autumn  5
Stage 3 Core Modules
MATH30090 Metric Spaces Autumn  5
Stage 3 Core Modules
MATH30360 Measure Theory and Integration Autumn  5
Stage 3 Core Modules
MATH30040 Complex Analysis Spring  5
Stage 3 Core Modules
MATH30120 Topology Spring  5
Stage 3 Core Modules
MATH30400 Further Groups and Rings Spring  5
Stage 3 Options - A) Min 4 of:
Students take MATH30340 subject to resourcing and approval of module coordinator.
ACM30130 Advanced Computational Science Autumn  5
Stage 3 Options - A) Min 4 of:
Students take MATH30340 subject to resourcing and approval of module coordinator.
ACM30190 Dynamical Systems Autumn  5
Stage 3 Options - A) Min 4 of:
Students take MATH30340 subject to resourcing and approval of module coordinator.
ACM30220 Partial Differential Equations Autumn  5
Stage 3 Options - A) Min 4 of:
Students take MATH30340 subject to resourcing and approval of module coordinator.
MATH30340 Peer-Assisted Tutoring Autumn  5
Stage 3 Options - A) Min 4 of:
Students take MATH30340 subject to resourcing and approval of module coordinator.
MATH40840 Discrete Mathematics Autumn  5
Stage 3 Options - A) Min 4 of:
Students take MATH30340 subject to resourcing and approval of module coordinator.
MST30020 History of Mathematics Autumn  5
Stage 3 Options - A) Min 4 of:
Students take MATH30340 subject to resourcing and approval of module coordinator.
STAT20230 Modern Regression Analysis Autumn  5
Stage 3 Options - A) Min 4 of:
Students take MATH30340 subject to resourcing and approval of module coordinator.
STAT30010 Time Series Autumn  5
Stage 3 Options - A) Min 4 of:
Students take MATH30340 subject to resourcing and approval of module coordinator.
ACM30020 Applied Analysis Spring  5
Stage 3 Options - A) Min 4 of:
Students take MATH30340 subject to resourcing and approval of module coordinator.
ACM30090 Mathematical Biology Spring  5
Stage 3 Options - A) Min 4 of:
Students take MATH30340 subject to resourcing and approval of module coordinator.
ACM30140 Numerical Methods for PDEs Spring  5
Stage 3 Options - A) Min 4 of:
Students take MATH30340 subject to resourcing and approval of module coordinator.
MATH30370 Markov Chains Spring  5
Stage 3 Options - A) Min 4 of:
Students take MATH30340 subject to resourcing and approval of module coordinator.
MST30030 Financial Mathematics Spring  5
Stage 3 Options - A) Min 4 of:
Students take MATH30340 subject to resourcing and approval of module coordinator.
STAT20100 Inferential Statistics Spring  5
Stage 4 Core Modules
MATH40560 Final Year Project 2 Trimester duration (Aut-Spr)  10
Stage 4 Core Modules
MATH40310 Functional Analysis Autumn  5
Stage 4 Core Modules
MATH40370 Differential Geometry Autumn  5
Stage 4 Core Modules
MATH40710 Galois Theory Autumn  5
Stage 4 Core Modules
MATH40480 Probability Theory Spring  5
Stage 4 Core Modules
MATH40870 Algebraic Geometry Spring  5
Stage 4 Core Modules
MATH40880 Number Theory Spring  5
Stage 4 Options - A) Min 4 of:
Students who successfully completed SCI30080 will be registered by the School to the module. Students take MATH30340 subject to resourcing and approval of module coordinator.
ACM40690 Applied Complex Variables Autumn  5
Stage 4 Options - A) Min 4 of:
Students who successfully completed SCI30080 will be registered by the School to the module. Students take MATH30340 subject to resourcing and approval of module coordinator.
ACM41020 Maths of Machine Learning Autumn  5
Stage 4 Options - A) Min 4 of:
Students who successfully completed SCI30080 will be registered by the School to the module. Students take MATH30340 subject to resourcing and approval of module coordinator.
MATH30340 Peer-Assisted Tutoring Autumn  5
Stage 4 Options - A) Min 4 of:
Students who successfully completed SCI30080 will be registered by the School to the module. Students take MATH30340 subject to resourcing and approval of module coordinator.
MATH40840 Discrete Mathematics Autumn  5
Stage 4 Options - A) Min 4 of:
Students who successfully completed SCI30080 will be registered by the School to the module. Students take MATH30340 subject to resourcing and approval of module coordinator.
SCI30080 Professional Placement-Science Autumn  5
Stage 4 Options - A) Min 4 of:
Students who successfully completed SCI30080 will be registered by the School to the module. Students take MATH30340 subject to resourcing and approval of module coordinator.
STAT30080 Models - Survival Models Autumn  5
Stage 4 Options - A) Min 4 of:
Students who successfully completed SCI30080 will be registered by the School to the module. Students take MATH30340 subject to resourcing and approval of module coordinator.
STAT30090 Models - Stochastic Models Autumn  5
Stage 4 Options - A) Min 4 of:
Students who successfully completed SCI30080 will be registered by the School to the module. Students take MATH30340 subject to resourcing and approval of module coordinator.
ACM41030 Optimization Algorithms Spring  5
Stage 4 Options - A) Min 4 of:
Students who successfully completed SCI30080 will be registered by the School to the module. Students take MATH30340 subject to resourcing and approval of module coordinator.
MATH30250 Cryptography: Theory & Practice Spring  5
Stage 4 Options - A) Min 4 of:
Students who successfully completed SCI30080 will be registered by the School to the module. Students take MATH30340 subject to resourcing and approval of module coordinator.
MATH40830 Maths of Quantum Computation Spring  5
Stage 4 Options - A) Min 4 of:
Students who successfully completed SCI30080 will be registered by the School to the module. Students take MATH30340 subject to resourcing and approval of module coordinator.
STAT40150 Multivariate Analysis Spring  5

See the UCD Assessment website for further details, including worked examples of how degree award GPAs are calculated

Module Weighting Info
 
  Award GPA
Programme Module Weightings Rule Description Description >= <=
BHSCI001 Stage 4 - 70.00%
Stage 3 - 30.00%
Standard Honours Award First Class Honours

3.68

4.20

Second Class Honours, Grade 1

3.08

3.67

Second Class Honours, Grade 2

2.48

3.07

Pass

2.00

2.47