Mathematics
Mathematics is a broad and diverse subject which is used to model, analyse and understand several applications in the physical and biological sciences, engineering, management science, economics and finance.
| Award Name | Degree - Honours Bachelor (Level 8 NFQ) |
|---|---|
| NFQ Classification | Major |
| Awarding Body | University of Dublin |
| NFQ Level | Level 8 NFQ |
| Award Name | NFQ Classification | Awarding Body | NFQ Level |
|---|---|---|---|
| Degree - Honours Bachelor (Level 8 NFQ) | Major | University of Dublin | Level 8 NFQ |
Duration
4 years full-time
Specific Subjects or course requirements
Minimum Entry Requirements: Irish Leaving Certificate
To be considered for admission to a degree course at the University you must:
Present six subjects, three of which must be at grade 5 or above on higher Leaving Certificate papers or at least grade 5 in the University matriculation examination.
The six subjects above must include:
A pass in English.
A pass in mathematics (or foundation-level mathematics (see note 2)) and a pass in a language other than English
OR
A pass in Latin and a pass in a subject other than a language.
Special Entry Requirements
H3 Mathematics
Leaving Certificate General Entry Requirements
To qualify for admission to an honours degree course at the University you must:
1 meet the minimum entry requirements (see above).
2 satisfy course specific requirements (where applicable), see above.
3 where there is competition for places, have good enough examination results to be included among those to whom offers are made (see the Leaving Certificate scoring system or Advanced GCE (A Level) scoring system).
Minimum Entry Requirements: Irish Leaving Certificate
To be considered for admission to a degree course at the University applicants must:
› Present six subjects, three of which must be at grade 5 or above on higher Leaving Certificate papers or at least grade 5 in the University matriculation examination.
The six subjects above must include:
› A pass in English.
› A pass in mathematics (or foundation-level mathematics (see note 2)) and a pass in a language other than English OR
› A pass in Latin and a pass in a subject other than a language.
Notes:
1 A pass means grade O6/H7 or above in the Leaving Certificate and grade 7 or above in the University matriculation examination.
2 Mathematics at foundation-level is acceptable for minimum entry requirements only, for all courses except nursing or midwifery courses. Irish at foundation-level is not acceptable for minimum entry requirements, course requirements or for scoring purposes.
3 Students may combine grades achieved in different sittings of their Leaving Certificate/Matriculation examinations for the purpose of satisfying minimum entry and/or course requirements, but not for the purposes of scoring. This is not permitted for Medicine.
4 Combinations of Leaving Certificate subjects not permitted:
› Physics/chemistry may not be presented with physics or chemistry.
› Biology and agricultural science may not be presented as two of the six subjects required for minimum entry requirements, and they may not be presented together to satisfy course specific requirements. However, both may be used for scoring purposes.
› Art and music may not be offered as two of the three higher Leaving Certificate grades for minimum entry requirements, but both may be used for scoring purposes.
Bonus Points for Higher Level Mathematics
All students presenting H6 or above in higher level mathematics will have 25 points added to their score for mathematics. The bonus points will only be relevant where mathematics is scored as one of a student’s six best subjects for points purposes.
An applicant’s six best results from one sitting of the Leaving Certificate will be counted for scoring purposes. Applicants may combine results from the Leaving Certificate and the Trinity matriculation examination of the same year for scoring purposes.
The minimum entry levels (points) for Trinity in recent years are available at: www.tcd.ie/study/apply/admission-requirements/ undergraduate
Age Requirement
Applicants seeking admission in 2025 must have a date of birth before 15 January 2009.
Garda Vetting
Students on courses with clinical or other professional placements may be required to undergo Garda vetting procedures prior to commencing placements. If, as a result of the outcome of the Garda vetting procedures, students are deemed unsuitable to attend clinical or other professional placement, they may be required to withdraw from their course. Students who have resided outside Ireland for a period of 6 months or more will be required to provide police clearance documentation from the country (including different states) or countries in which they resided.
Students who accept an offer will be informed of the procedures to be followed to complete the vetting process (as part of the student orientation information).
Fitness To Practice
Professional courses demand that certain core competencies are met by students in order to graduate and practice professionally after qualification. Trinity has special responsibility to ensure that all students admitted to all professional programmes will be eligible for registration by the relevant professional body upon graduation. It is important to us that our students are able to fulfil the rigorous demands of professional courses and are fit to practice.
Health Screening
Offers of admission to the following courses are made subject to certain vaccination requirements and/or certain negative test results:
› Clinical Speech and Language Studies
› Orthodontic Therapy, Dental Science, Dental Hygiene, Dental Nursing, and Dental Technology
› Medicine › Nursing and Midwifery
› Occupational Therapy
› Pharmacy
› Physiotherapy
› Radiation Therapy
› Social Studies (Social work)
Full details are available at: www.tcd.ie/study/apply/admissionrequirements/ undergraduate
Leaving Certificate Vocational Progamme LCVP
These modules are accepted for scoring purposes only and are awarded the following points: Distinction 66, Merit 46, Pass 28.
QQI FET Applicants General Information
There is an entry route to a number of degree programmes in Trinity for applicants presenting appropriate QQI/FET Level 5 or 6 Major Awards. Applicants presenting distinctions in five modules can be considered for admission.
Full information on courses with QQI entry routes, requirements etc., can be found at the link below.
Careers / Further progression
Graduate skills and 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 in leading universities, including Cambridge, Oxford, and Imperial College London.
Further information
Mature Students
All undergraduate courses in Trinity are open to mature applicants. Mature student applicants are not required to satisfy the normal minimum entry requirements and are not required to meet competitive academic entry levels (such as Leaving Certificate points), but are considered in the first instance on the basis of how relevant their life, work and educational experiences are to the course(s) that they wish to pursue. In addition, all applicants should demonstrate an interest in and knowledge of their course choice(s).
In order to apply to Trinity as a mature applicant you must:
› be an EU applicant (see page 216 TCD Undergraduate Prospectus 2025)
› be at least 23 years of age on 1 January 2025
› submit a CAO application form to the Central Applications Office (CAO) by 1 February 2025
Late applications will not be considered from mature students.
CAO applications may be made online at: www.cao.ie
Further information about applying through the CAO as a mature student can be found www.
For information on Alternative Entry Routes go to: https://www.tcd.ie/study/apply/alternative-paths-to-trinity/
Places 2024: 40
Entry 2025
Early online application (discounted): Fee €30 Closing Date: 20 January 2025 at 5pm
Normal online application: Fee €45 Closing Date: 1 February 2025 at 5pm
Late online application - restrictions apply (see page 3 2025 CAO Handbook): Fee: €60 Closing Date: 1 May 2025 at 5pm
Change of Mind - restrictions apply (see page 3 2025 CAO Handbook): Fee: Nil Closing Date: 1 July 2025 at 5pm
Be sure to complete any action well in advance of closing dates. You should avoid making an application close to a closing date. No extensions to closing dates will be allowed and all application fees are non-refundable.
LATE APPLICATIONS
Late Applications are those which are received after 5pm on 1 February 2025. The closing date for late applications is 5pm on 1 May 2025, subject to the restrictions listed on page 3 of the 2025 CAO Handbook. The online facility for late applications opens on the 5 March 2025 at 12:00 noon - a fee of €60 applies.
Restrictions
As a CAO applicant you may experience one or more of the following restrictions based on your course choices, your category of application, or restrictions imposed by the HEIs that you wish to apply to. Please read the section on 'Restrictions' on page 3 of the 2025 CAO Handbook carefully. This section includes information on:
General Restrictions
1. Making a late application
2. Making changes to your course choices
Restricted Courses
3. Applying for a restricted course
Mature Applicants
4. Mature applicants
Supplementary Admissions Routes
5. Applying for DARE and/or HEAR
What is Mathematics?
Mathematics is a broad and diverse subject which is used to model, analyse and understand several applications in the physical and biological sciences, engineering, management science, economics and finance. Its numerous applications are naturally interwoven with the underlying theory which is essential in developing one’s logical reasoning, quantitative skills and problem-solving techniques.
Do you enjoy…
Working with numbers?
Solving practical problems?
Improving your analytical skills?
Mathematics: The course for you?
Mathematics is an excellent choice for anyone hoping to meet the demand for mathematics graduates in the job market, which values numeracy, ability in abstract reasoning and the skill to turn ideas into methods. If you have a natural ability in mathematics and are genuinely interested in applying mathematical solutions to problem solving, then this course will suit you well. It is also a great start for a career in actuarial work, finance or accounting, although these will require further training. The course has been successful over a long period in providing diverse career opportunities for many students.
Your degree and what you’ll study
The programme is designed to provide a broad mathematical training that will allow you to work in any environment that requires strong numerical and logical skills.
The modules offered can be grouped into four areas:
Pure mathematics which explores fundamental concepts and abstract theories.
Applied and computational mathematics which deals with practical problems.
The mathematics of theoretical physics.
Statistical models and methodology.
First and second years
Students take common modules in order to develop their skills and overall background in calculus, linear and abstract algebra, and other related subjects. Although most of the first and second year modules are compulsory, students are also able to choose a few approved modules in areas such as probability, statistics and theoretical physics (as well as Trinity Electives during the second year).
Third and fourth years
Students choose their own modules and specialise in the areas they find most interesting and appealing. There is a broad selection of modules in pure mathematics, theoretical physics, statistics and computer science (as well as Trinity Electives during the third year).
Study abroad
Students may choose to spend their third year to study abroad at one of our partner universities as part of an exchange programme. In particular, some of our students have recently completed their third year of studies at the University of Durham (UK), Université Lille 1 (France), the University of California at Berkeley (USA), McGill University (Canada) and the University of Melbourne (Australia).
You may apply to spend your third year studying at a university abroad as part of an exchange programme. Further information on student exchanges can be found at the following webpage
Trinity College Dublin and Columbia University Dual B.A. Programme
Mathematics is also available within the Dual B.A. Programme between Trinity College Dublin and Columbia University. Please note: The Dual B.A. is only open to Single Honours students. Joint Honours students cannot apply to the Dual B.A.. For more details, see https://tcd.gs.columbia.edu
E mathdep@maths.tcd.ie