# Mathematics in Two-Subject Moderatorship 2012-13

#### (for all combinations except Mathematics + Economics)

### Senior Sophister Year (pattern B)

*Note that these details are as at the end of the
academic year 2011-12.*

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 includes a project (or dissertation). Half the credits excluding the dissertation should be taken in each term. Unless indicated modules are 5 ECTS units.

All module choices are subject to them being possible within the timetable.

### Michaelmas term

- MA2321 Analysis in several real variables [
*prerequisites: MA1212, MA1123, MA1132*] Lecturer: Prof. David Simms - MA2325 Complex analysis I [
*prerequisite: MA1124*] Lecturer: Prof. Dmitri Zaitsev - MA2331 Equations of mathematical physics I [
*prerequisite: MA1132*] Lecturer: Prof. Darran McManus - MA2341 Advanced classical mechanics I [
*prerequisite: MA1242*] Lecturer: Prof. Sergey Frolov - ST2351 Probability and Theoretical Statistics I [
*prerequisite: ST1252*] Lecturer: Prof. Simon Wilson (Statistics) - MA3413 Group representations I Lecturer: Prof. Vladimir Dotsenko
- MA3421 Functional analysis I Lecturer: Prof. John Stalker
- MA3425 Partial differential equations I Lecturer: Prof. John Stalker
- MA3427 Algebraic topology I Lecturer: Prof. David Wilkins
- MA3429 Differential geometry I [
*prerequisite: MA2322*] Lecturer: Prof. Peter Taylor - MA3463 Computation theory and logic I Lecturer: Prof. Colm Ó Dúnlaing
- ST3453 Stochastic models in space and time I Lecturer: STATS
- ST3455 Modern statistical methods I [
*prerequisite: ST2352*] Lecturer: STATS - MA3481 Mathematical economics I Lecturer: Prof. Eleanor Denny (Economics)

Other modules may also be considered subject to approval.

### Hilary term

- MA2316 Introduction to number theory Lecturer: Prof. Masha Vlasenko
- MA2322 Calculus on manifolds [
*prerequisite: MA2321*] Lecturer: Prof. David Simms - MA2326 Ordinary differential equations [
*prerequisite: MA1124*] Lecturer: Prof. Petronela Radu - MA2332 Equations of mathematical physics II [
*prerequisite: MA2331*] Lecturer: Prof. Sinéad Ryan - MA2342 Advanced classical mechanics II [
*prerequisite: MA2341*] Lecturer: Prof. Sergey Frolov - ST2352 Probability and Theoretical Statistics II [
*prerequisite: ST2351*] Lecturer: Prof. John Haslett (Statistics) - MA3422 Functional analysis II [
*prerequisite: MA3422*] Lecturer: Prof. Richard Timoney - MA3426 Partial differential equations II [
*prerequisite: MA3425*] Lecturer: Prof. John Stalker - MA3428 Algebraic topology II [
*prerequisite: MA3427*] Lecturer: Prof. David Wilkins - MA346H Algorithmic Entropy Lecturer: Prof. Timothy Murphy
- ST3454 Stochastic models in space and time II [
*prerequisite: ST2352*] Lecturer: STATS - ST3456 Modern statistical methods II [
*prerequisite: ST2352*] Lecturer: STATS - MA346F Practical numerical simulations Lecturer: Prof. Nicolas Garron
- MA3482 Mathematical economics II [
*prerequisite: MA3481*] Lecturer: ECON

Further modules may also be considered subject to approval.

### Year long modules

- MA4491 Research assignment [
*5 credits*] Lecturer: Prof. Richard Timoney - MA4492 Project [
*10 credits*] Lecturer: Prof. Richard Timoney - MA3496 Mathematics Education [
*10 credits*] Lecturers: Prof. Elizabeth Oldham, Prof. Donal O'Donovan

## 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 subjects other than 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 result awarded in the Junior Sophister year (known as part I of the Moderatorship examination), where the weighting has been to give 15 of that 50% for the Junior Sophister Mathematics result and 35 for the other subject. Thus, in aggregate, Mathematics counts for 65% of the overall moderatorship mark. [For this completing the Senior Sophister year from 2013-14, the JS weightings will change to an equal divide between the two subjects.]
- Students take modules to the value of 60 credits in total, (30 in each term).
- 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 addition to reaching the appropriate overall standard, to qualify for a first class moderatorship result in mathematics, a pattern pattern B student majoring in mathematics must have a first class average on modules amounting to 30 credits at the advanced level; to qualify for a second class (first division) result, pattern B students majoring in mathematics must achieve a second class (first division) average on modules amounting to 20 credits at the advanced level. Advanced level modules taken in the Junior Sophister year are also considered when this criterion is applied. This should be kept in mind when choosing modules in the Junior Sophister year and students should discuss their choice with the Director of Teaching and Learning. [This rule will no longer apply from 2013-14 and instead students will thereafter be required to choose at last half of their Senior Sophister Mathematics credits at the advanced level.]
- There are no supplemental or special examinations for Senior Sophister students.
- For 2012-13, there are no compensation restrictions apart from considerations of advanced modules mentioned above. [Compensation rules will be introduced for the Senior Sophister year in 2013-14.]

## 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 Two-Subject Moderatorship Courses
- Content of Subjects in Two-Subject 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 University 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://tcd-ie.libguides.com/plagiarism/ready-steady-write`. - 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 assignments, 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.