# Mathematics in Two-Subject Moderatorship 2015-16

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

### Senior Sophister Year (pattern A)

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 A.

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

### Michaelmas term

- MA2321 Analysis in several real variables [
*prerequisites: MA1111, MA1123, MA1132*] Lecturer: Prof. David Wilkins - MA2327 Ordinary differential equations [
*prerequisite: MA1124*] Lecturer: Prof. John Stalker - MA232A Euclidean and non-Euclidean Geometry [
*available to SS single-honor in 2015-16 only*] Lecturer: Prof. David Wilkins - MA2331 Equations of mathematical physics I [
*prerequisite: MA1132*] Lecturer: Prof. Andrei Parnachev - MA3415 Introduction to Lie Algebras [
*prerequisites: MA1214 and MA2215*] Lecturer: Prof. Sergey Mozgovoy - MA3419 Galois Theory [
*prerequisites: MA1214 and MA2215*] Lecturer: Prof. Vladimir Dotsenko - MA3423 Topics in complex analysis I [
*prerequisite: MA2325*] Lecturer: Prof. Dmitri Zaitsev - MA3429 Differential geometry [
*prerequisite: MA2322*] Lecturer: Prof. Sergey Frolov - MA342A Harmonic analysis I [
*prerequisite: MA2223, MA2224*] Lecturer: Prof. Richard Timoney - MA346M Topics in advanced programming [
*prerequisite: MA1262 or MA1264*] Lecturer: Prof. Colm Ó Dúnlaing - ST3010 Applied Forecasting Lecturer: Prof. Rozenn Dahyot (Statistics)
- ST3011 Multivariate Data Analysis Lecturer: Prof. Brett Houlding (Statistics)
- ST3451 Applied linear statistical models I Lecturer: Prof. Jason Wyse (Statistics)
- ST3457 Statistical inference I [
*prerequisite: ST2352*] Lecturer: Prof. Simon Wilson (Statistics) - ST4003 Data Analytics [
*10 credits, prerequisite: ST3011*] Lecturer: Prof. Myra O'Regan (Statistics)

Students take 15 credits in each term. Other modules may also be considered subject to approval.

### Hilary term

- MA2322 Calculus on manifolds [
*prerequisite: MA2321*] Lecturer: Prof. Jan Manschot - MA2328 Complex analysis I [
*prerequisite: MA1124 or MA2321*] Lecturer: Prof. Dmitri Zaitsev - MA2332 Equations of mathematical physics II [
*prerequisite: MA2331*] Lecturer: Prof. Sinéad Ryan - MA2342 Advanced classical mechanics II [
*prerequisite: MA2341*] Lecturer: Prof. Dmytro Volin - ST2351 Probability and Theoretical Statistics I Lecturer: Prof. Simon Wilson (Statistics)
- ST2005 Applied Probability II [
*prerequisite: ST1252*] Lecturer: Prof. Simon Wilson (Statistics) - MA341D Introduction to Gröbner bases [
*prerequisites: MA1214 and MA2215*] Lecturer: Prof. Vladimir Dotsenko - MA3424 Topics in complex analysis II [
*prerequisite: MA3423*] Lecturer: Prof. Andreea Nicoara - MA342H Partial differential equations (methods and applications) [
*prerequisite: MA2326*] Lecturer: Prof. Paschalis Karageorgis - MA342N Ordinary differential equations (TBD) Lecturer: Prof. John Stalker
- MA342P Elliptic Curves Lecturer: Prof. Timothy Murphy
- ST3452 Applied linear statistical models II [
*prerequisite: ST3451*] Lecturer: Prof. Rozenn Dahyot (Statistics) - ST3458 Statistical inference II [
*prerequisite: ST2352*] Lecturer: Prof. Jason Wyse (Statistics) - MA3486 Fixed point theorems and economic equilibria Lecturer: Prof. David Wilkins

Students take 15 credits in each term. Further modules may also be considered subject to approval. (This makes a total of 30 credits. Unless indicated otherwise, modules are 5 ECTS credits.)

### Year long modules

- 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 A) Regulations

Pattern A is available for the combinations of Mathematics with Economics, Geography and Philosophy only. This page applies specifically to the combinations Mathematics with Geography and Philosophy only.

- Students take modules to the value of 60 credits in total, (30 in each term, divided equally between Mathematics creits and credits for Geography or Philosophy).
- The overall result and classification of Moderatorship awarded depends only on the Senior Sophister year.
- Students must register for Mathematics modules to the value of exactly 30 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).
- TSM are required to choose at least half of their Senior Sophister Mathematics credits at the advanced level.
- 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 their SS year in TSM (and qualify for a
Moderatorship),
pattern A students must attain an average
mark (credit weighted average)
of at least 40% over the (30 credits of) mathematics modules and also
obtain an average of 40% in their other subject.
*In addition*students must pass modules totalling at least 20 credits in each subject (Mathematics and the other subject) and obtain at least 30% in all modules. - There are no supplemental or special examinations for Senior Sophister students.

## 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.