Module Information For Visiting and Erasmus Students 2013/14 Department/School Notes Mathematics All modules have 5ECTS value unless otherwise stated. For further information on the modules listed below, please refer to http://www.maths.tcd.ie/undergraduate/modules/ Module choice is subject to timetable constraints and also to a Professor assessing your ability to ensure your module choice does not prove too difficult for you. Visiting/Erasmus Module Info on Department Website http://www.maths.tcd.ie/undergraduate/modules/ Mathematics Modules Michaelmas Term (first semester) 2013-14 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: MA1122] 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: MA1212, MA1123, MA1132] Lecturer: Prof. David Simms MA2325 Complex analysis I [prerequisite: MA1122] 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. Samson Shatashvili 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 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] 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) ST3451 Applied linear statistical models I Lecturer: STATS ST3457 Statistical inference I [prerequisite: ST2352] Lecturer: STATS Mathematics Modules Hilary Term (second semester) 2013-14 MA1124 Analysis on the real line II [prerequisite: MA1123] Lecturer: Prof. Donal O'Donovan MA1132 Advanced calculus 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: MA1122] 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. John Bulava 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 MA3426 Partial differential equations II [prerequisite: MA3425] MA3428 Algebraic topology II [prerequisite: MA3427] MA342H Partial differential equations (methods and applications) [prerequisite: MA2326] Lecturer: Prof. John Stalker MA342L Probability --- topic TBC 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] 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: STATS ST3452 Applied linear statistical models II [prerequisite: ST3451] Lecturer: STATS ST3458 Statistical inference II [prerequisite: ST2352] Lecturer: STATS Mathematics Modules running throughout 2013-14 (both semesters) 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 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