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Single Honours Mathematics: Junior Sophister year

During their Junior Sophister 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 50 ECTS credits of Mathematics modules along with 10 ECTS credits of Open Modules and Trinity Electives. Those who dropped a minor subject at the end of their Senior Fresh year may still take modules in that subject as part of their 10 ECTS credits.

  • Major with Minor pathway: Students take 40 ECTS credits in Mathematics modules along with 20 ECTS credits in another minor subject. Those whose minor is in Statistics may take more than 20 ECTS credits in Statistics.
In each case, the total number of 60 ECTS credits must be divided equally between the two semesters and all Mathematics modules are optional.

Yearlong Mathematics Modules

Mathematics education (10 ECTS)

Semester 1 Mathematics Modules

Introduction to number theory
Ordinary differential equations
Advanced classical mechanics I
Equations of mathematical physics I
Lie algebras and Lie groups
Combinatorics
Topics in complex analysis I
Differential geometry
Classical field theory
Quantum mechanics I
Statistical physics I
Practical numerical simulations
Probability and theoretical statistics
Multivariate linear analysis
Applied linear statistical methods I
Statistical inference I

Unless indicated otherwise, each module is worth 5 ECTS credits.
Modules listed with an asterisk are normally offered every other year.

Semester 2 Mathematics Modules

Calculus on manifolds
Euclidean and non-Euclidean geometry
Advanced classical mechanics II
Introduction to numerical analysis
Commutative algebra
Partial differential equations
Topics in complex analysis II
Classical electrodynamics
Quantum mechanics II
Statistical physics II
Fixed point theorems and economic equilibria
Applied probability II
Applied linear statistical methods II
Statistical inference II

Unless indicated otherwise, each module is worth 5 ECTS credits.
Modules listed with an asterisk are normally offered every other year.

Semester 1 Open Modules and Trinity Electives

Symbolic programming
Introduction to functional programming
Fuzzy logic and control systems
Formal verification
Topics in functional programming

Semester 2 Open Modules and Trinity Electives

Artificial intelligence I

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.