# Mathematics Modules 2013-14

**Notes:**
Modules have 5 credits unless indicated.
In most cases modules with MA (=Mathematics)
codes that end in an odd digit are
offered in Michaelmas Term, while module codes ending in an even digit
are in the Hilary Term. Most examinations are scheduled after the end of
the academic year (but special arrangements can be made for students
visiting for Michaelmas Term only).

Modules offered can change from one year to the next, especially so for the more advanced MA34* and ST34* modules, many of which are offered no more often that every second year.

## Mathematics Modules Michaelmas Term (first semester) 2013-14

- BC Broad Curriculum Modules
- CS3011 Symbolic Programming [
*5 credits*] Lecturer: CompSc - CS4001 Fuzzy Logic [
*5 credits*] Lecturer: CompSc - CS4003 Formal Methods [
*5 credits*] Lecturer: CompSc - CS4052 Computer Graphics [
*5 credits*] Lecturer: CompSc - CS4053 Computer Vision [
*5 credits*] Lecturer: CompSc - MA1111 Linear algebra I Lecturer: Prof. Paschalis Karageorgis
- MA1123 Analysis on the real line I [
*10 credits*] Lecturer: Prof. Donal O'Donovan - MA1241 Mechanics I Lecturer: Dr. Stefano Kovacs
- MA1261 Mathematical computation I Lecturer: Prof. Colm Ó Dúnlaing
- MA1E01 Engineering Mathematics I Lecturer: Prof. Peter Taylor
- MA1M01 Mathematical Methods Lecturers: Prof. Nicolas Garron, Prof. Sinéad Ryan
- MA1S11 Mathematics for Scientists (first semester) Lecturers: Prof. Tristan McLoughlin, Prof. Vladimir Dotsenko
- MA2215 Fields, rings and modules [
*prerequisite: MA1214*] Lecturer: Prof. Sergey Mozgovoy - MA2223 Metric spaces [
*prerequisite: MA1124*] Lecturer: Prof. Sergey Mozgovoy - MA22S1 Multivariable calculus for science [
*prerequisite: MA11S2*] Lecturer: Prof. Stephen Britton - MA22S3 Fourier analysis for science [
*prerequisite: MA11S2*] Lecturer: Prof. Darran McManus - MA2321 Analysis in several real variables [
*prerequisites: MA1124, MA1132, MA1212*] Lecturer: Prof. David Simms - MA2325 Complex analysis I [
*prerequisite: MA1124*] Lecturer: Prof. John Stalker - MA2331 Equations of mathematical physics I [
*prerequisite: MA1132*] Lecturer: Prof. Darran McManus - MA2341 Advanced classical mechanics I [
*prerequisite: MA1242*] Lecturer: Prof. John Bulava - MA2C01 Discrete Mathematics I Lecturer: Prof. David Wilkins
- MA2E01 Engineering Mathematics III Lecturer: Prof. Stephen Britton
- MA3411 Abstract algebra I Lecturer: Prof. David Wilkins
- MA3417 Introduction to Gröbner bases [
*prerequisite: MA2215*] Lecturer: Prof. Vladimir Dotsenko - MA3423 Topics in complex analysis I [
*prerequisite: MA2325*] Lecturer: Prof. Dmitri Zaitsev - MA3429 Differential geometry I [
*prerequisite: MA2322*] Lecturer: Prof. Peter Taylor - MA3431 Classical field theory [
*prerequisite: MA2342*] Lecturer: Prof. Tristan McLoughlin - MA3441 Quantum mechanics I [
*prerequisite: MA2342*] Lecturer: Prof. Michael Fry - MA3443 Statistical physics I [
*prerequisite: MA2342*] Lecturer: Prof. Dmytro Volin - MA3467 Algorithms Lecturer: Prof. Colm Ó Dúnlaing
- MA3469 Practical numerical simulations [
*[Note: cannot be taken if credit for MA346F was given previously]*] Lecturer: Prof. Nicolas Garron - MA346A Cryptology Lecturer: Dr. Michael Purser
- MA3481 Mathematical economics I Lecturer: Prof. Eleanor Denny (Economics)
- MA3E1 Engineering Mathematics V Lecturer: Dr. Brendan Browne
- MA4445 Quantum field theory I [
*prerequisites: MA3442 [MA3444 recommended]*] Lecturer: Prof. Samson Shatashvili - ST1251 Introduction to Statistics I Lecturer: Prof. Eamonn Mullins (Statistics)
- ST2351 Probability and Theoretical Statistics I [
*prerequisite: ST1252*] Lecturer: Prof. Simon Wilson (Statistics) - ST3010 Applied Forecasting [
*5 credits, prerequisite: ST2352*] Lecturer: Prof. Rozenn Dahyot (Statistics) - ST3011 Multivariate Data Analysis Lecturer: Prof. Brett Houlding (Statistics)
- ST3451 Applied linear statistical models I Lecturer: Prof. Rozenn Dahyot (Statistics)
- ST3457 Statistical inference I [
*prerequisite: ST2352*] Lecturer: Prof. Simon Wilson (Statistics) - ST4003 Data Analytics [
*10 credits, prerequisites: ST3010, ST3011*] Lecturer: Prof. Myra O'Regan (Statistics)

## Mathematics Modules Hilary Term (second semester) 2013-14

- BC Broad Curriculum Modules
- CS4002 Category theory Lecturer: Prof. Arthur Hughes (Computer Science)
- MA061 Practical computing [
*0 credits*] - MA1124 Analysis on the real line II [
*prerequisite: MA1123*] Lecturer: Prof. Donal O'Donovan - MA1132 Advanced calculus [
*prerequisites: MA1111, MA1123*] Lecturer: Prof. Stephen Britton - MA1212 Linear algebra II [
*prerequisite: MA1111*] Lecturer: Prof. Paschalis Karageorgis - MA1214 Introduction to group theory [
*prerequisite: MA1111*] Lecturer: Prof. Colm Ó Dúnlaing - MA1242 Mechanics II [
*prerequisite: MA1241*] Lecturer: Dr. Stefano Kovacs - MA1262 Mathematical computation II Lecturer: Prof. Colm Ó Dúnlaing
- MA1E02 Engineering Mathematics II Lecturer: Prof. Darran McManus
- MA1S12 Mathematics for Scientists (second semester) Lecturers: Prof. Sergey Mozgovoy, Prof. Richard Timoney
- MA2224 Lebesgue integral [
*prerequisite: MA2223*] Lecturer: Prof. Richard Timoney - MA22S2 Vector calculus for science [
*prerequisite: MA22S1, MA22S3*] Lecturer: Dr. Joe Ó hÓgáin - MA22S4 Mechanics [
*prerequisite: MA22S1*] Lecturer: Dr. Brendan Redmond - MA22S6 Numerical and data analysis techniques [
*prerequisite: MA11S2*] Lecturer: Prof. Nicolas Garron - MA2316 Introduction to number theory Lecturer: Prof. Vladimir Dotsenko
- MA2322 Calculus on manifolds [
*prerequisite: MA2321*] Lecturer: Prof. David Simms - MA2326 Ordinary differential equations [
*prerequisite: MA1124*] Lecturer: Prof. John Stalker - MA2332 Equations of mathematical physics II [
*prerequisite: MA2331*] Lecturer: Prof. Sinéad Ryan - MA2342 Advanced classical mechanics II [
*prerequisite: MA2341*] Lecturer: Prof. Dmytro Volin - MA2C02 Discrete Mathematics II Lecturer: Prof. David Wilkins
- MA2E02 Engineering Mathematics IV Lecturer: Prof. Dmitri Zaitsev
- MA3412 Abstract algebra II Lecturer: Prof. David Wilkins
- MA3424 Topics in complex analysis II [
*prerequisite: MA3423*] Lecturer: Prof. Dmitri Zaitsev - MA342H Partial differential equations (methods and applications) Lecturer: Prof. John Stalker
- MA342L Probability --- topic TBC [
*prerequisite: MA2224*] - MA3432 Classical electrodynamics [
*prerequisite: MA3431*] Lecturer: Prof. Tristan McLoughlin - MA3442 Quantum mechanics II [
*prerequisite: MA3441*] Lecturer: Prof. Michael Fry - MA3444 Statistical physics II [
*prerequisite: MA3443*] Lecturer: Prof. Sinéad Ryan - MA3482 Mathematical economics II [
*prerequisite: MA3481*] Lecturer: ECON - MA4446 Quantum field theory II [
*prerequisite: MA4445*] Lecturer: Prof. Samson Shatashvili - MA4448 General relativity [
*prerequisites: MA2342, MA3429, MA3432*] Lecturer: Prof. Darran McManus - ST1252 Introduction to Statistics II [
*prerequisite: ST1251*] Lecturer: Prof. Eamonn Mullins (Statistics) - ST2352 Probability and Theoretical Statistics II [
*prerequisite: ST2351*] Lecturer: Prof. John Haslett (Statistics) - ST3452 Applied linear statistical models II [
*prerequisite: ST3451*] Lecturer: Prof. John Haslett (Statistics) - ST3458 Statistical inference II [
*prerequisite: ST2352*] Lecturer: Prof. Cathal Walsh (Statistics)

## Mathematics Modules running throughout 2013-14 (both semesters)

- EC4090 (Economics) Quantitative Methods [
*15 credits, or 10 credits by arrangement*] - MA2C03 Discrete Mathematics [
*10 credits, year long*] Lecturer: Prof. David Wilkins - MA3496 Mathematics Education [
*10 credits*] Lecturers: Prof. Elizabeth Oldham, Prof. Donal O'Donovan - MA4491 Research assignment [
*5 credits*] Lecturer: Prof. Paschalis Karageorgis - MA4492 Project [
*10 credits*] Lecturer: Prof. Paschalis Karageorgis - MA4493 Additional Project [
*10 credits*] Lecturer: Prof. Paschalis Karageorgis - MA4498 Major Project [
*20 credits*] Lecturer: Prof. Paschalis Karageorgis

## Mathematics Modules full list 2013-14

- BC Broad Curriculum Modules
- CS3011 Symbolic Programming [
*5 credits*] Lecturer: CompSc - CS4001 Fuzzy Logic [
*5 credits*] Lecturer: CompSc - CS4002 Category theory Lecturer: Prof. Arthur Hughes (Computer Science)
- CS4003 Formal Methods [
*5 credits*] Lecturer: CompSc - CS4052 Computer Graphics [
*5 credits*] Lecturer: CompSc - CS4053 Computer Vision [
*5 credits*] Lecturer: CompSc - MA061 Practical computing [
*0 credits*] - MA1111 Linear algebra I Lecturer: Prof. Paschalis Karageorgis
- MA1123 Analysis on the real line I [
*10 credits*] Lecturer: Prof. Donal O'Donovan - MA1124 Analysis on the real line II [
*prerequisite: MA1123*] Lecturer: Prof. Donal O'Donovan - MA1132 Advanced calculus [
*prerequisites: MA1111, MA1123*] Lecturer: Prof. Stephen Britton - MA1212 Linear algebra II [
*prerequisite: MA1111*] Lecturer: Prof. Paschalis Karageorgis - MA1214 Introduction to group theory [
*prerequisite: MA1111*] Lecturer: Prof. Colm Ó Dúnlaing - MA1241 Mechanics I Lecturer: Dr. Stefano Kovacs
- MA1242 Mechanics II [
*prerequisite: MA1241*] Lecturer: Dr. Stefano Kovacs - MA1261 Mathematical computation I Lecturer: Prof. Colm Ó Dúnlaing
- MA1262 Mathematical computation II Lecturer: Prof. Colm Ó Dúnlaing
- MA1E01 Engineering Mathematics I Lecturer: Prof. Peter Taylor
- MA1E02 Engineering Mathematics II Lecturer: Prof. Darran McManus
- MA1M01 Mathematical Methods Lecturers: Prof. Nicolas Garron, Prof. Sinéad Ryan
- MA1S11 Mathematics for Scientists (first semester) Lecturers: Prof. Tristan McLoughlin, Prof. Vladimir Dotsenko
- MA1S12 Mathematics for Scientists (second semester) Lecturers: Prof. Sergey Mozgovoy, Prof. Richard Timoney
- MA2215 Fields, rings and modules [
*prerequisite: MA1214*] Lecturer: Prof. Sergey Mozgovoy - MA2223 Metric spaces [
*prerequisite: MA1124*] Lecturer: Prof. Sergey Mozgovoy - MA2224 Lebesgue integral [
*prerequisite: MA2223*] Lecturer: Prof. Richard Timoney - MA22S1 Multivariable calculus for science [
*prerequisite: MA11S2*] Lecturer: Prof. Stephen Britton - MA22S2 Vector calculus for science [
*prerequisite: MA22S1, MA22S3*] Lecturer: Dr. Joe Ó hÓgáin - MA22S3 Fourier analysis for science [
*prerequisite: MA11S2*] Lecturer: Prof. Darran McManus - MA22S4 Mechanics [
*prerequisite: MA22S1*] Lecturer: Dr. Brendan Redmond - MA22S6 Numerical and data analysis techniques [
*prerequisite: MA11S2*] Lecturer: Prof. Nicolas Garron - MA2316 Introduction to number theory Lecturer: Prof. Vladimir Dotsenko
- MA2321 Analysis in several real variables [
*prerequisites: MA1124, MA1132, MA1212*] Lecturer: Prof. David Simms - MA2322 Calculus on manifolds [
*prerequisite: MA2321*] Lecturer: Prof. David Simms - MA2325 Complex analysis I [
*prerequisite: MA1124*] Lecturer: Prof. John Stalker - MA2326 Ordinary differential equations [
*prerequisite: MA1124*] Lecturer: Prof. John Stalker - MA2331 Equations of mathematical physics I [
*prerequisite: MA1132*] Lecturer: Prof. Darran McManus - MA2332 Equations of mathematical physics II [
*prerequisite: MA2331*] Lecturer: Prof. Sinéad Ryan - MA2341 Advanced classical mechanics I [
*prerequisite: MA1242*] Lecturer: Prof. John Bulava - MA2342 Advanced classical mechanics II [
*prerequisite: MA2341*] Lecturer: Prof. Dmytro Volin - MA2C03 Discrete Mathematics [
*10 credits, year long*] Lecturer: Prof. David Wilkins - MA2E01 Engineering Mathematics III Lecturer: Prof. Stephen Britton
- MA2E02 Engineering Mathematics IV Lecturer: Prof. Dmitri Zaitsev
- MA3411 Abstract algebra I Lecturer: Prof. David Wilkins
- MA3412 Abstract algebra II Lecturer: Prof. David Wilkins
- MA3417 Introduction to Gröbner bases [
*prerequisite: MA2215*] Lecturer: Prof. Vladimir Dotsenko - MA3423 Topics in complex analysis I [
*prerequisite: MA2325*] Lecturer: Prof. Dmitri Zaitsev - MA3424 Topics in complex analysis II [
*prerequisite: MA3423*] Lecturer: Prof. Dmitri Zaitsev - MA3429 Differential geometry I [
*prerequisite: MA2322*] Lecturer: Prof. Peter Taylor - MA342H Partial differential equations (methods and applications) Lecturer: Prof. John Stalker
- MA342L Probability --- topic TBC [
*prerequisite: MA2224*] - MA3431 Classical field theory [
*prerequisite: MA2342*] Lecturer: Prof. Tristan McLoughlin - MA3432 Classical electrodynamics [
*prerequisite: MA3431*] Lecturer: Prof. Tristan McLoughlin - MA3441 Quantum mechanics I [
*prerequisite: MA2342*] Lecturer: Prof. Michael Fry - MA3442 Quantum mechanics II [
*prerequisite: MA3441*] Lecturer: Prof. Michael Fry - MA3443 Statistical physics I [
*prerequisite: MA2342*] Lecturer: Prof. Dmytro Volin - MA3444 Statistical physics II [
*prerequisite: MA3443*] Lecturer: Prof. Sinéad Ryan - MA3467 Algorithms Lecturer: Prof. Colm Ó Dúnlaing
- MA3469 Practical numerical simulations [
*[Note: cannot be taken if credit for MA346F was given previously]*] Lecturer: Prof. Nicolas Garron - MA346A Cryptology Lecturer: Dr. Michael Purser
- MA3481 Mathematical economics I Lecturer: Prof. Eleanor Denny (Economics)
- MA3482 Mathematical economics II [
*prerequisite: MA3481*] Lecturer: ECON - MA3496 Mathematics Education [
*10 credits*] Lecturers: Prof. Elizabeth Oldham, Prof. Donal O'Donovan - MA3E1 Engineering Mathematics V Lecturer: Dr. Brendan Browne
- MA4445 Quantum field theory I [
*prerequisites: MA3442 [MA3444 recommended]*] Lecturer: Prof. Samson Shatashvili - MA4446 Quantum field theory II [
*prerequisite: MA4445*] Lecturer: Prof. Samson Shatashvili - MA4448 General relativity [
*prerequisites: MA2342, MA3429, MA3432*] Lecturer: Prof. Darran McManus - MA4491 Research assignment [
*5 credits*] Lecturer: Prof. Paschalis Karageorgis - MA4492 Project [
*10 credits*] Lecturer: Prof. Paschalis Karageorgis - MA4493 Additional Project [
*10 credits*] Lecturer: Prof. Paschalis Karageorgis - MA4498 Major Project [
*20 credits*] Lecturer: Prof. Paschalis Karageorgis - MA561 High Performance Computing Lecturer: Dermot Frost
- MA562 HPC Lab Lecturers: Dermot Frost, AAanon
- MA563 Simulations Lecturers: Prof. Mike Peardon, Prof. John Bulava
- MA564a Emerging Technolgies Lecturer: Prof. Mike Peardon
- MA564b Emerging Technolgies Lecturer: Prof. John Bulava
- MA565 Financial applications of HPC Lecturer: Dr. Darach Golden
- ST1251 Introduction to Statistics I Lecturer: Prof. Eamonn Mullins (Statistics)
- ST1252 Introduction to Statistics II [
*prerequisite: ST1251*] Lecturer: Prof. Eamonn Mullins (Statistics) - ST2351 Probability and Theoretical Statistics I [
*prerequisite: ST1252*] Lecturer: Prof. Simon Wilson (Statistics) - ST2352 Probability and Theoretical Statistics II [
*prerequisite: ST2351*] Lecturer: Prof. John Haslett (Statistics) - ST3010 Applied Forecasting [
*5 credits, prerequisite: ST2352*] Lecturer: Prof. Rozenn Dahyot (Statistics) - ST3011 Multivariate Data Analysis Lecturer: Prof. Brett Houlding (Statistics)
- ST3451 Applied linear statistical models I Lecturer: Prof. Rozenn Dahyot (Statistics)
- ST3452 Applied linear statistical models II [
*prerequisite: ST3451*] Lecturer: Prof. John Haslett (Statistics) - ST3457 Statistical inference I [
*prerequisite: ST2352*] Lecturer: Prof. Simon Wilson (Statistics) - ST3458 Statistical inference II [
*prerequisite: ST2352*] Lecturer: Prof. Cathal Walsh (Statistics) - ST4003 Data Analytics [
*10 credits, prerequisites: ST3010, ST3011*] Lecturer: Prof. Myra O'Regan (Statistics)