Courses / Subject

>>Mathematics is the logical and abstract study of pattern. It involves an interplay between the concrete and the abstract: the ever-changing world around us is one of the key inspirations for the invention and investigation of abstract mathematics, and the discoveries of abstract mathematics have important and unexpected applications in the world around us.
>>Our Mathematics degrees aim to bridge the gap between school Mathematics and current frontiers of knowledge. You will learn to think hard and rigorously about questions and to solve new problems – invaluable skills that can be transferred to any area of life and any job you hold in future.
>>In the four-year MH201 degree, you can take Mathematics as a subject in the first two years, and then choose between Mathematics (Applied) and Mathematics (Pure) at the beginning of year 3.

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Note: this subject may only be taken in conjunction with MP2TDM

MT2TDM - MATHEMATICS (PURE)

Credits: 30 Not compulsory:

		Module	Code	Credits	Semester	Compulsory
		ABSTRACT ALGEBRA	MT242P	5	2
		ANALYSIS 1 (P)	MT232P	5	1
		FINITE MATHEMATICS	MT241P	5	1
		FOUNDATIONS OF EUCLIDEAN GEOMETRY	MT251P	5	1
		INTEGRATION	MT231P	5	2
		MULTIVARIABLE CALCULUS	MT234P	5	2

>>Mathematics is the logical and abstract study of pattern. It involves an interplay between the concrete and the abstract: the ever-changing world around us is one of the key inspirations for the invention and investigation of abstract mathematics, and the discoveries of abstract mathematics have important and unexpected applications in the world around us.
>>Our Mathematics degrees aim to bridge the gap between school Mathematics and current frontiers of knowledge. You will learn to think hard and rigorously about questions and to solve new problems – invaluable skills that can be transferred to any area of life and any job you hold in future.
>>In the four-year MH201 degree, you can take Mathematics as a subject in the first two years, and then choose between Mathematics (Applied) and Mathematics (Pure) at the beginning of year 3.

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1. The entry threshold for MT3PDM is 70% in 2nd Science Mathematics (MT200/MT2F20) if standard modules are taken, or 60% in 2nd Science Mathematics if any of the following modules were taken: MT232P, MT236S or MT432D. In the latter case, an average mark of 50% must also be achieved across the one or more modules in this list of three modules.
2. Students progress to the Final Year Pure stream SM/Major with Minor/DM Mathematics (Pure) and/or DM/Minor Statistics.

MT3PDM - MATHEMATICS (PURE)

Credits: 30 Not compulsory:

		Module	Code	Credits	Semester	Compulsory
		COMPLEX ANALYSIS 1	MT333P	5	2
		GROUP THEORY 1	MT342P	5	1
		METRIC SPACES (REAL ANALYSIS 2)	MT332P	5	2
		REAL ANALYSIS 1	MT331P	5	1
		RINGS & FIELDS 1	MT341P	5	1
		RINGS & FIELDS 2	MT344P	5	2

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1. This double major subject is only available to students who took Mathematics (Pure) and Mathematical Physics on the double major pathway in Year 2. 

2. Students must achieve at least 50% in MT2TDM in Year 2 in order to progress to MT3TDM in Year 3.

MT3TDM - MATHEMATICS (PURE)

Credits: 30 Not compulsory:

		Module	Code	Credits	Semester	Compulsory
		COMPLEX ANALYSIS 1	MT333P	5	2
		GROUP THEORY 1	MT342P	5	1
		METRIC SPACES (REAL ANALYSIS 2)	MT332P	5	2
		REAL ANALYSIS 1	MT331P	5	1
		RINGS & FIELDS 1	MT341P	5	1
		RINGS & FIELDS 2	MT344P	5	2

>>Mathematics is the logical and abstract study of pattern. It involves an interplay between the concrete and the abstract: the ever-changing world around us is one of the key inspirations for the invention and investigation of abstract mathematics, and the discoveries of abstract mathematics have important and unexpected applications in the world around us.
>>Our Mathematics degrees aim to bridge the gap between school Mathematics and current frontiers of knowledge. You will learn to think hard and rigorously about questions and to solve new problems – invaluable skills that can be transferred to any area of life and any job you hold in future.
>>In the four-year MH201 degree, you can take Mathematics as a subject in the first two years, and then choose between Mathematics (Applied) and Mathematics (Pure) at the beginning of year 3.

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This subject (MT4TDM) is only for students taking Mathematical Physics and Mathematics (Pure) as a double major. 

• In final year, students' 60 credits can be divided between the two subjects with the caveat that at least 20 credits MUST be taken in each subject.
• Taking at least 20 credits in each subject will satisfy the requirements for a double major degree.
• Students will continue to meet subject-specific Teaching Council of Ireland requirements in Applied Mathematics and Mathematics.
• Students will continue to have an MSc in Mathematics, OR in Mathematical Science as progression options.

MT4TDM - MATHEMATICS (PURE)

Credits: 30 Not compulsory:

		Module	Code	Credits	Semester	Compulsory
		BAYESIAN DATA ANALYSIS	ST405	5	1
		COMPLEX ANALYSIS 2	MT433P	5	1
		DIFFERENTIAL GEOMETRY	MT451P	5	1
		GALOIS THEORY	MT442P	5	2
		GENERALISED LINEAR MODELS	ST304	5	2
		GROUP THEORY 2	MT441P	5	1
		LINEAR MODELS	ST303	5	1
		NUMBER THEORY	MT444P	5	2
		POINT SET TOPOLOGY	MT434P	5	2
		PROBABILITY	ST301	5	1
		READING COURSE	MT495R	5	1
		READING COURSE	MT496R	5	2
		RESEARCH PROJECT	MT490R	5	2
		STATISTICAL INFERENCE	ST402	5	2

MT4PDM - MATHEMATICS (PURE)

Credits: 30 Not compulsory:

		Module	Code	Credits	Semester	Compulsory
		BAYESIAN DATA ANALYSIS	ST405	5	1
		COMPLEX ANALYSIS 2	MT433P	5	1
		DIFFERENTIAL GEOMETRY	MT451P	5	1
		GALOIS THEORY	MT442P	5	2
		GENERALISED LINEAR MODELS	ST304	5	2
		GROUP THEORY 2	MT441P	5	1
		LINEAR MODELS	ST303	5	1
		NUMBER THEORY	MT444P	5	2
		POINT SET TOPOLOGY	MT434P	5	2
		PROBABILITY	ST301	5	1
		READING COURSE	MT495R	5	1
		READING COURSE	MT496R	5	2
		RESEARCH PROJECT	MT490R	5	2
		STATISTICAL INFERENCE	ST402	5	2

>>Mathematics is the logical and abstract study of pattern. It involves an interplay between the concrete and the abstract: the ever-changing world around us is one of the key inspirations for the invention and investigation of abstract mathematics, and the discoveries of abstract mathematics have important and unexpected applications in the world around us.
>>Our Mathematics degrees aim to bridge the gap between school Mathematics and current frontiers of knowledge. You will learn to think hard and rigorously about questions and to solve new problems – invaluable skills that can be transferred to any area of life and any job you hold in future.
>>In the four-year MH201 degree, you can take Mathematics as a subject in the first two years, and then choose between Mathematics (Applied) and Mathematics (Pure) at the beginning of year 3.

MT4PSM - MATHEMATICS (PURE)

Credits: 60 Not compulsory:

		Module	Code	Credits	Semester	Compulsory
		BAYESIAN DATA ANALYSIS	ST405	5	1
		COMPLEX ANALYSIS 2	MT433P	5	1
		DIFFERENTIAL GEOMETRY	MT451P	5	1
		GALOIS THEORY	MT442P	5	2
		GENERALISED LINEAR MODELS	ST304	5	2
		GROUP THEORY 2	MT441P	5	1
		LINEAR MODELS	ST303	5	1
		NUMBER THEORY	MT444P	5	2
		POINT SET TOPOLOGY	MT434P	5	2
		PROBABILITY	ST301	5	1
		READING COURSE	MT495R	5	1
		READING COURSE	MT496R	5	2
		RESEARCH PROJECT	MT490R	5	2
		STATISTICAL INFERENCE	ST402	5	2
		STATISTICAL MACHINE LEARNING	ST404	5	2