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Joint Honours Mathematics: Senior Fresh year

This page refers to the combination between Mathematics and Economics.

During their Senior Fresh year, students follow one of 3 different pathways. Their options are outlined in this diagram and they are also discussed below.

  • Single Honours pathway: Students drop one of their subjects and proceed with a Single Honours degree in their other subject. They take 40 ECTS credits in that subject along with 20 ECTS credits in Open Modules and Trinity Electives.
  • Major with Minor pathway: Students continue with both subjects and take 40 ECTS credits in one subject along with 20 ECTS credits in the other.
  • Joint Honours pathway: Students continue with both subjects and take 20 ECTS credits in each subject along with 20 ECTS credits in Open Modules and Trinity Electives.
In each case, the total number of 60 ECTS credits must be divided equally between the two semesters. Students who continue with both subjects will be able to change their pathway a year later. However, they may not proceed with either a Single Honours degree in Mathematics or a major in Mathematics, unless they take 40 ECTS credits of Mathematics during their Senior Fresh year.

Open Modules and Trinity Electives

Students who take 20 ECTS credits in Open Modules & Trinity Electives have access to a variety of options. The list below refers to the modules that are available through the Mathematics component of the Joint Honours degree, but there is also a more thorough list on the College web page about Open Modules. These modules are generally allocated 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

Mathematics Modules

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

Yearlong Mathematics Modules

Advanced analysis (10 ECTS)

Semester 1 Mathematics Modules

Analysis in several real variables
Equations of mathematical physics I
Probability and theoretical statistics
There are no optional modules during the first semester. Students who take 40 ECTS credits in Mathematics must take the yearlong module MAU22200 and all Semester 1 modules. Students who take 20 ECTS credits in Mathematics must take MAU22101 and MAU23203.

Semester 2 Mathematics Modules

Fields, rings and modules
Introduction to complex analysis
Euclidean and non-Euclidean geometry
Applied probability II
There is one optional module during the second semester. Students who take 40 ECTS credits in Mathematics must take MAU22102, STU22005 and one of MAU23204, MAU23302. Students who take 20 ECTS credits in Mathematics must take MAU22102 and one of MAU23204, MAU23302.

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.