# Mathematics Modules 2012-13

**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) 2012-13

- BC Broad Curriculum Modules
- CS3011 Symbolic Programming [
*5 credits*] Lecturer: CompSc - CS4001 Fuzzy Logic [
*5 credits*] Lecturer: CompSc - CS4003 Formal Methods [
*5 credits, prerequisite in 2011-12: CS3001 of 2010-11*] 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. Richard Timoney, Prof. Stefan Sint
- MA2215 Fields, rings and modules [
*prerequisite: MA1214*] Lecturer: Prof. Vladimir Dotsenko - MA2223 Metric spaces [
*prerequisite: MA1124*] Lecturer: Prof. Sergey Mozgovoy - MA22S1 Multivariable calculus for science [
*prerequisite: MA11S2*] Lecturer: Prof. Masha Vlasenko - MA22S3 Fourier analysis for science [
*prerequisite: MA11S2*] Lecturer: Prof. Darran McManus - 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 - MA2C01 Discrete Mathematics I Lecturer: Prof. David Wilkins
- MA2E01 Engineering Mathematics III Lecturer: Prof. Paschalis Karageorgis
- 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 - 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: Dr. Christopher Thomas - MA3463 Computation theory and logic I Lecturer: Prof. Colm Ó Dúnlaing
- 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. Sergey Frolov - MA4447 The Standard Model of Elementary Particle Physics [
*prerequisites: MA3442 [CHECK THIS]*] Lecturer: Prof. Stefan Sint - ST1251 Introduction to Statistics I Lecturer: Prof. Eamonn Mullins (Statistics)
- ST2351 Probability and Theoretical Statistics I [
*prerequisite: ST1252*] Lecturer: Prof. Simon Wilson (Statistics) - ST3453 Stochastic models in space and time I Lecturer: STATS
- ST3455 Modern statistical methods I [
*prerequisite: ST2352*] Lecturer: STATS

## Mathematics Modules Hilary Term (second semester) 2012-13

- BC Broad Curriculum Modules
- MA061 Practical computing [
*0 credits*] - MA1124 Analysis on the real line II [
*prerequisite: MA1123*] Lecturer: Prof. Donal O'Donovan - MA1132 Advanced calculus Lecturer: Prof. Petronela Radu
- MA1212 Linear algebra II [
*prerequisite: MA1111*] Lecturer: Prof. Paschalis Karageorgis - MA1214 Introduction to group theory [
*prerequisite: MA1111*] Lecturer: Prof. Dmitri Zaitsev - 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. Colm Ó Dúnlaing
- MA2224 Lebesgue integral [
*prerequisite: MA2223*] Lecturer: Prof. Masha Vlasenko - 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. 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 - MA2C02 Discrete Mathematics II Lecturer: Prof. David Wilkins
- MA2E02 Engineering Mathematics IV Lecturer: Prof. Dmitri Zaitsev
- 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 - 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. Stefan Sint - MA346F Practical numerical simulations Lecturer: Prof. Nicolas Garron
- MA346H Algorithmic Entropy Lecturer: Prof. Timothy Murphy
- 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. Peter Taylor - 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) - ST3454 Stochastic models in space and time II [
*prerequisite: ST2352*] Lecturer: STATS - ST3456 Modern statistical methods II [
*prerequisite: ST2352*] Lecturer: STATS

## Mathematics Modules running throughout 2012-13 (both semesters)

- EC4090 (Economics) Quantitative Methods [
*15 credits, or 10 credits by arrangment*] - 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 - MA4493 Additional Project [
*10 credits*] Lecturer: Prof. Richard Timoney - MA4498 Major Project [
*20 credits*] Lecturer: Prof. Richard Timoney - ST3007 Applied Forecasting/Multivariate Data Analysis [
*10 credits, prerequisite: ST2352*] Lecturers: Prof. Rozenn Dahyot (Statistics), Prof. Brett Houlding (Statistics) - ST4003 Data Mining [
*10 credits, prerequistite: ST3007*] Lecturer: STATS

## Mathematics Modules full list 2012-13

- BC Broad Curriculum Modules
- CS3011 Symbolic Programming [
*5 credits*] Lecturer: CompSc - CS4001 Fuzzy Logic [
*5 credits*] Lecturer: CompSc - CS4003 Formal Methods [
*5 credits, prerequisite in 2011-12: CS3001 of 2010-11*] 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 Lecturer: Prof. Petronela Radu
- MA1212 Linear algebra II [
*prerequisite: MA1111*] Lecturer: Prof. Paschalis Karageorgis - MA1214 Introduction to group theory [
*prerequisite: MA1111*] Lecturer: Prof. Dmitri Zaitsev - 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. Richard Timoney, Prof. Stefan Sint
- MA1S12 Mathematics for Scientists (second semester) Lecturers: Prof. Sergey Mozgovoy, Prof. Colm Ó Dúnlaing
- MA2215 Fields, rings and modules [
*prerequisite: MA1214*] Lecturer: Prof. Vladimir Dotsenko - MA2223 Metric spaces [
*prerequisite: MA1124*] Lecturer: Prof. Sergey Mozgovoy - MA2224 Lebesgue integral [
*prerequisite: MA2223*] Lecturer: Prof. Masha Vlasenko - MA22S1 Multivariable calculus for science [
*prerequisite: MA11S2*] Lecturer: Prof. Masha Vlasenko - 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. Masha Vlasenko
- MA2321 Analysis in several real variables [
*prerequisites: MA1212, MA1123, MA1132*] Lecturer: Prof. David Simms - MA2322 Calculus on manifolds [
*prerequisite: MA2321*] Lecturer: Prof. David Simms - MA2325 Complex analysis I [
*prerequisite: MA1124*] Lecturer: Prof. Dmitri Zaitsev - MA2326 Ordinary differential equations [
*prerequisite: MA1124*] Lecturer: Prof. Petronela Radu - 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. Sergey Frolov - MA2342 Advanced classical mechanics II [
*prerequisite: MA2341*] Lecturer: Prof. Sergey Frolov - MA2C01 Discrete Mathematics I Lecturer: Prof. David Wilkins
- MA2C02 Discrete Mathematics II Lecturer: Prof. David Wilkins
- MA2E01 Engineering Mathematics III Lecturer: Prof. Paschalis Karageorgis
- MA2E02 Engineering Mathematics IV Lecturer: Prof. Dmitri Zaitsev
- MA3413 Group representations I Lecturer: Prof. Vladimir Dotsenko
- MA3421 Functional analysis I Lecturer: Prof. John Stalker
- MA3422 Functional analysis II [
*prerequisite: MA3422*] Lecturer: Prof. Richard Timoney - MA3425 Partial differential equations I Lecturer: Prof. John Stalker
- MA3426 Partial differential equations II [
*prerequisite: MA3425*] Lecturer: Prof. John Stalker - MA3427 Algebraic topology I Lecturer: Prof. David Wilkins
- MA3428 Algebraic topology II [
*prerequisite: MA3427*] Lecturer: Prof. David Wilkins - MA3429 Differential geometry I [
*prerequisite: MA2322*] Lecturer: Prof. Peter Taylor - 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: Dr. Christopher Thomas - MA3444 Statistical physics II [
*prerequisite: MA3443*] Lecturer: Prof. Stefan Sint - MA3463 Computation theory and logic I Lecturer: Prof. Colm Ó Dúnlaing
- MA346F Practical numerical simulations Lecturer: Prof. Nicolas Garron
- MA346H Algorithmic Entropy Lecturer: Prof. Timothy Murphy
- 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. Sergey Frolov - MA4446 Quantum field theory II [
*prerequisite: MA4445*] Lecturer: Prof. Samson Shatashvili - MA4447 The Standard Model of Elementary Particle Physics [
*prerequisites: MA3442 [CHECK THIS]*] Lecturer: Prof. Stefan Sint - MA4448 General relativity [
*prerequisites: MA2342, MA3429, MA3432*] Lecturer: Prof. Peter Taylor - MA4491 Research assignment [
*5 credits*] Lecturer: Prof. Richard Timoney - MA4492 Project [
*10 credits*] Lecturer: Prof. Richard Timoney - MA4493 Additional Project [
*10 credits*] Lecturer: Prof. Richard Timoney - MA4498 Major Project [
*20 credits*] Lecturer: Prof. Richard Timoney - 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) - ST3007 Applied Forecasting/Multivariate Data Analysis [
*10 credits, prerequisite: ST2352*] Lecturers: Prof. Rozenn Dahyot (Statistics), Prof. Brett Houlding (Statistics) - ST3453 Stochastic models in space and time I Lecturer: STATS
- ST3454 Stochastic models in space and time II [
*prerequisite: ST2352*] Lecturer: STATS - ST3455 Modern statistical methods I [
*prerequisite: ST2352*] Lecturer: STATS - ST3456 Modern statistical methods II [
*prerequisite: ST2352*] Lecturer: STATS - ST4003 Data Mining [
*10 credits, prerequistite: ST3007*] Lecturer: STATS