Mathematics in TwoSubject Moderatorship 201617
(for the combination Mathematics + Economics only)
Senior Sophister Year (pattern B)
In the Senior Sophister year, students who continue with Mathematics (rather than majoring in their other subject) must either continue with both subjects [an option available in a limited number of combinations] or major in Mathematics (which is pattern B). This page relates to pattern B.
Pattern B students take a total of 60 ECTS credits, which may include a project (or dissertation). Half the credits excluding the dissertation should be taken in each term. Unless indicated otherwise, each module is worth 5 credits.
All module choices are subject to them being possible within the timetable.
Michaelmas term
 MA2317 Introduction to number theory Lecturer: Prof. Timothy Murphy
 MA2321 Analysis in several real variables [prerequisites: MA1111, MA1123, MA1132] Lecturer: Prof. David Wilkins
 MA2327 Ordinary differential equations [prerequisites: MA1124, MA1212] Lecturer: Prof. Paschalis Karageorgis
 MA2331 Equations of mathematical physics I [prerequisite: MA1132] Lecturer: Prof. Andrei Parnachev
 MA341A Computational complexity [prerequisites: MA1213, MA2223] Lecturer: Prof. Colm Ó Dúnlaing
 MA3421 Functional analysis I [prerequisites: MA2223, MA2224 are desirable] Lecturer: Prof. Richard Timoney
 MA3429 Differential geometry [prerequisite: MA2322] Lecturer: Prof. Sergey Frolov
 MA3463 Computation theory and logic Lecturer: Prof. Colm Ó Dúnlaing
 ST3010 Applied forecasting [prerequisite: ST2352] Lecturer: Prof. Rozenn Dahyot (Statistics)
 ST3011 Multivariate linear analysis [prerequisite: ST2352] Lecturer: Prof. Brett Houlding (Statistics)
 ST3453 Stochastic models in space and time I [prerequisite: ST2352] Lecturer: Prof. Jason Wyse (Statistics)
 ST3455 Modern statistical methods I [prerequisite: ST2352] Lecturer: Prof. Simon Wilson (Statistics)
 ST4003 Data analytics [10 credits, prerequisite: ST3011] Lecturer: Prof. Myra O'Regan (Statistics)
Other modules may also be considered subject to approval.
Hilary term
 MA2322 Calculus on manifolds [prerequisite: MA2321] Lecturer: Prof. Jan Manschot
 MA2328 Complex analysis [prerequisite: MA1124 or MA2321] Lecturer: Prof. Dmitri Zaitsev
 MA2332 Equations of mathematical physics II [prerequisite: MA2331] Lecturer: Prof. Anthony Brown
 MA3416 Group representations [prerequisites: MA1212, MA1213] Lecturer: Prof. Victoria Lebed
 MA341F Introduction to algebraic geometry [prerequisites: MA2314, MA2322] Lecturer: Prof. Andreea Nicoara
 MA3422 Functional analysis II [prerequisite: MA3421] Lecturer: Prof. Richard Timoney
 MA342R Covering spaces and fundamental groups [prerequisites: MA1213 and one of MA2223, MA2321] Lecturer: Prof. David Wilkins
 MA342T Partial differential equations [prerequisite: MA2327] Lecturer: Prof. John Stalker
 MA3484 Methods of mathematical economics [prerequisite: MA1212] Lecturer: Prof. David Wilkins
 ST2005 Applied probability II [prerequisite: ST1252] Lecturer: Prof. Simon Wilson (Statistics)
 ST3454 Stochastic models in space and time II [prerequisite: ST2352] Lecturer: Prof. Rozenn Dahyot (Statistics)
 ST3456 Modern statistical methods II [prerequisite: ST2352] Lecturer: Prof. Bernando Nipoti (Statistics)
Other modules may also be considered subject to approval.
Year long modules
 EC4090 (Economics) Quantitative methods [15 credits]
 MA3496 Mathematics education [10 credits] Lecturers: Prof. Elizabeth Oldham, Prof. Donal O'Donovan
 MA4491 Research assignment [5 credits] Lecturer: Prof. Richard Timoney
 MA4492 Project [10 credits] Lecturer: Prof. Richard Timoney
Senior Sophister (Mathematics pattern B) Regulations
Pattern B is available for the combinations of Mathematics with Economics, English Literature, French, Geography, German, Music, Philosophy and Psychology. This page applies specifically to the combination of Mathematics with Economics.
 The Senior Sophister result for Mathematics counts for 50% of the overall moderatorship mark over the two subjects. The remaining 50% is contributed by the overall result awarded in the Junior Sophister year (known as part I of the Moderatorship examination), which is in turn based on both subjects.
 Students take modules to the value of 60 credits in total, (30 in each term).
 At least half of their Senior Sophister Mathematics credits must be chosen at the advanced level.
 Module EC4090 (Quantitative Methods) is available to be taken as part of the Mathematics component, according to the special arrangments for the combination of Mathematics with Economics in the TwoSupject Moderatorship. [It counts at the advanced level.]
 Students must register for Mathematics modules to the value of exactly 60 credits (with the Administrative office of the School of Mathematics) and check that their modules are correctly recorded at the student portal by the deadline (date to be advised but likely to be in January).
 Students will be assessed on their registered modules (only) according to the rules below.
 Papers are set on a majority of modules at the annual examination (held in April/May). The mark for these modules may also incorporate credit for assessed work throughout the academic year as prescribed by the lecturers concerned. (For further information on assessment, consult the individual module descriptions.)
 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, F.1 = 30 to 39, F.2 = 0 to 29.
 Each module is marked in the range from 0 to 100%.
 In order to pass an individual module, students must attain a mark of at least 40%.
 In order to pass the annual examinations students must either

pass in each module,
OR 
pass by compensation, which means to
obtain a credit weighted average of at least 40% AND
pass modules totalling at least 40 credits
AND have at least 30% in
the remaining module(s),
OR  pass by aggregation, which means to obtain a credit weighted average of at least 40% AND pass modules totalling at least 40 credits AND have at least 30% in modules totalling at least 50 credits.

pass in each module,
 Students who do not attend regularly, who are absent from tests and examinations without good cause may be returned to the Senior Lecturer's office as nonsatisfactory for the relevant term. Nonsatisfactory students may be refused permission to take their annual examination and may be required to repeat their year by the Senior Lecturer.
 There are no supplemental or special examinations for Senior Sophister students.
 Students who fail to pass the annual examination in their Senior Sophister year will be awarded an ordinary B.A. degree (provided that they have spent at least three yeas in the University).
 For students who pass the annual examination in their Senior Sophister year, the examinations of the two Sophister years count equally towards the overall mark for moderatorship (and in determining the class of the degree awarded).
(These regulations apply from the academic year 201314.)
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.
In particular, the following information can be found in the online version of the University Calendar:
 Regulations concerning Undergraduate Degrees and Diplomas in the School of Mathematics
 General Regulations for TwoSubject Moderatorship Courses
 Content of Subjects in TwoSubject Moderatorship Courses
Important information.
 All students should study the requirements of the university with regard to avoiding plagiarism. In particular all students are required to certify, on submitting assignments etc., that they have read and understood the plagiarism provisions in the General Regulations of the Universty Calendar for the current year found at http://www.tcd.ie/calendar, and that they have also completed the Online Tutorial on avoiding plagiarism ‘Ready Steady Write’ located at http://tcdie.libguides.com/plagiarism/readysteadywrite.
 Student Guidelines concerning Examinations and Assessment are available on the College web site.
 For students with special requirements resulting from disabilities, there are special arrangements that can be made.
 For dates of terms and other College dates consult the Key Dates listed on the College website.
 For information on their academic progress, including information on course and module registrations, lecture timetables, examination timetables and examination results, students should log into My.tcd.ie (the student administration portal) with their College username and password.
 Some modules may require students to log into MyModule (Blackboard) for lecture notes and slides, and for assessment purposes (online completion of tests , submission of assigments, etc.).
 There is a Student Homepage on the College website, which may be accessed via a link from the TCD Local page.
Please note that The University of Dublin Calendar should be consulted for definitive information about the rules, regulations, and activities of the University.