Skip to main content

Trinity College Dublin, The University of Dublin

Trinity Menu Trinity Search



You are here Courses > Undergraduate > Courses & Modules

Single Honours Mathematics: Senior Fresh year

During their Senior Fresh year, students follow one of 2 different pathways. Their options are outlined in this diagram and they are also discussed below.

  • Single Honours pathway: Students take 40 ECTS credits in Mathematics modules along with 20 ECTS credits in Open Modules and Trinity Electives.
  • Major with Minor pathway: Students take 40 ECTS credits in Mathematics modules along with 20 ECTS credits in another minor subject.
In each case, the total number of 60 ECTS credits must be divided equally between the two semesters. Students who follow the second pathway will be able to drop their minor subject and switch to the first pathway a year later, if needed.

Minor in Statistics or other subjects

To complete a minor degree in another subject, students must take 20 ECTS credits in that subject every year for a total of 60 ECTS credits during their studies. One of the available options is a minor in Statistics. This is designed exclusively for Single Honours Mathematics students and the quota is high enough to accommodate all students. It is also possible to pursue a minor in various other subjects. However, these are open to several cohorts of students across college and the available places are limited, so allocations are made based on the candidates' results during their Junior Fresh year. A list of all the available minors appears in the following table.

Open Modules and Trinity Electives

Students who do not wish to pursue a minor subject must take 20 ECTS credits in Open Modules and Trinity Electives. At least one Trinity Elective must be taken during the Senior Fresh year and at most one Trinity Elective may be taken each semester. A precise list of the available options is given below. Trinity Electives are allocated based on the students' preferences and Open Modules are assigned on a first come first served basis, except for MAU23403, which is meant to accommodate all students.

Semester 1 Open Modules and Trinity Electives

Algorithms and data structures I
Information management I
Equations of mathematical physics I

Semester 2 Open Modules and Trinity Electives

Algorithms and data structures II
Computational mathematics
Information management II

Mathematics Modules

Most of the Mathematics modules are compulsory during the Senior Fresh year, but students are also entitled to 1 optional module each semester. A precise list of the available options is given below.

Yearlong Mathematics Modules

Advanced analysis (10 ECTS)
The yearlong module MAU22200 is compulsory for all students.

Semester 1 Mathematics Modules

Introduction to number theory
Analysis in several real variables
Ordinary differential equations
Advanced classical mechanics I
Probability and theoretical statistics
During the first semester, students take MAU22101, MAU23203 and one of the other modules. If they are pursuing a minor in Statistics, they may not pick STU23501 as their optional module because it is already part of their minor.

Semester 2 Mathematics Modules

Fields, rings and modules
Introduction to complex analysis
Calculus on manifolds
Euclidean and non-Euclidean geometry
Advanced classical mechanics II
Introduction to numerical analysis
Applied probability II
During the second semester, students take MAU22102, MAU23204 and one of the other modules. If they are pursuing a minor in Statistics, they may not pick STU22005 as their optional module because it is already part of their minor.

Foundation Scholarship examination

Information about the Foundation Scholarship examination in Mathematics can be found here.

General regulations for undergraduate students

The general regulations that apply to all undergraduate students are outlined in the College Calendar (Part II). The following is only a brief summary of some important points and it is not meant to either replace or override the information in the College Calendar.

  • All students must register for 60 ECTS credits and those must be divided equally between the two terms.
  • Students will only be assessed on their registered modules.
  • Results for examinations are published according to the following grades: I = 70 to 100, II.1 = 60 to 69, II.2 = 50 to 59, III = 40 to 49, F1 = 30 to 39, F2 = 0 to 29.
  • In order to pass an individual module, students must achieve an overall score of 40% or higher.
  • In order to pass the year, students must achieve an overall credit-weighted average of 40% and EITHER
    • pass each of their modules (by achieving 40% or higher in each of their modules) OR
    • pass by compensation (by achieving 40% or higher in modules that are worth at least 50 ECTS credits and by achieving 35% or higher in their remaining modules).
  • Students who do not pass the year at the end of the Hilary term are required to present for reassessment at the beginning of the next Michaelmas term. These students will be reassessed in all failed components of the modules for which they obtained a score below 40%.
  • Students who do not manage to pass the year at the reassessment session must repeat the year in full (i.e., they must repeat all their modules and all their assessment components).

These regulations apply since the academic year 2018/19.

Sources of Information

The University of Dublin Calendar

All courses within Trinity College are administered in accordance with the regulations set out in the The University of Dublin Calendar which is published annually. The section of the Calendar setting out the general regulations of the College is published separately in the booklet General Regulations and Information and Board Statement on Safety which is distributed to all students on admission to College.

Important information


Please note that The University of Dublin Calendar should be consulted for definitive information about the rules, regulations, and activities of the University.