This programme is aimed at students who wish to gain a deep understanding of the concepts of modern mathematics and statistics, and a mastery of the associated skills and technologies. Our students will become autonomous inquisitive learners capable of formulating and creatively solving relevant problems in the language of mathematics and statistics. Our graduates will be in demand by employers and academic research institutesfor their ability to explain, describe and predict using the tools they have learned. We value students who are motivated to find the underlying mathematical causes and reasons for observations and patterns. We aim to provide a teaching and learning environment that develops confidence and independence through a wide variety of interactive formats, both inside and outside the classroom, including lectures, tutorials, webwork, blackboard and computer assisted labs.

1 - Demonstrate an indepth understanding of mathematics
2 - Use the language of logic to reason correctly and make deductions
3 - Approach problems in an analytical, precise and rigorous way
4 - Explore and manipulate abstract concepts
5 - Apply mathematical reasoning and techniques to formulate and solve problems
6 - Model real-world problems in a mathematical framework
7 - Confidently analyze and draw information from large quantities of data
8 - Analyze and interpret data, find patterns and draw conclusions
9 - Use the power of modern technology to augment mathematical problem solving
10 - Work independently and as part of a team
11 - Carry out research into a specific topic, including a survey and synthesis of the known literature
12 - Give oral presentations of technical mathematical material at a level appropriate for the audience, whether specialist or nonspecialist
13 - Prepare a written report on technical mathematical content in clear and precise language

Students who return failing grades in a trimester amounting to 15 credits, or more, will be identified under the UCD Continuation – Academic Progress policy. Students whose rate of progression and performance over two academic years is deemed unacceptable will be referred to the Governing Board to be reviewed for exclusion from the programme.
Students who fail to progress from the stage of the programme they are registered to for more than two academic years (except where a period of Leave of Absence has been granted for one of those years) will also be contacted under the Continuation – Academic Progress Policy.
As Stages 3 and 4 have the most dynamic components of the programme, and the material studied previously may no longer be relevant, a student who has been away from the programme for a significant period should be required to register again to Stage 3. The upper limit for completion of Stages 3 and 4 should be six years if they choose to do 120 credits with 20 in each year.

Students take 4 core modules. Students take 25 credits from each of their subjects. A further 10 credits can be taken as elective modules.

If you are interested in doing an Internship as part of Stage 4, you must indicate your interest now (in Stage 3). See full details www.ucd.ie/science/careers/internships/students/

Students take 3 core modules and at least 15 credits of option modules from the list below.

Module ID	Module Title	Trimester	Credits
Stage 3 Core Modules
MATH30030	Advanced Linear Algebra	Autumn	5
MATH30090	Metric Spaces	Autumn	5
MATH30040	Complex Analysis	Spring	5
MATH30130	Number Theory	Spring	5
Stage 3 Core Modules
Stage 3 Options - A)MIN1OF: Students should select at least one module from this list. Students take MATH30340 subject to resourcing and approval of module coordinator.
MATH30340	Peer-Assisted Tutoring	Autumn	5
MATH30360	Measure Theory and Integration	Autumn	5
MATH40240	Combinatorics	Autumn	5
MATH40370	Differential Geometry	Autumn	5
MATH30250	Cryptography: Theory & Practice	Spring	5
MATH30370	Markov Chains	Spring	5
MATH40310	Functional Analysis	Spring	5
MATH40630	Ring Theory	Spring	5
Stage 3 Options - A)MIN1OF: Students should select at least one module from this list. Students take MATH30340 subject to resourcing and approval of module coordinator.
Stage 4 Core Modules
MATH30120	Topology	Spring	5
MATH30400	Further Groups and Rings	Spring	5
MATH40710	Galois Theory	Spring	5
Stage 4 Core Modules
Stage 4 Options - A)MIN2OF: Students select at least 15 credits from the list below. Please note that students who successfully completed SCI30080 will be registered by the School to the module. Students take MATH30340 subject to resourcing and approval of module coordinator.
MATH40560	Research Project	2 Trimester duration (Aut-Spr)	10
ACM30220	Partial Differential Equations	Autumn	5
MATH30340	Peer-Assisted Tutoring	Autumn	5
MATH40550	Applied Matrix Theory	Autumn	5
MATH40840	Discrete Mathematics	Autumn	5
SCI30080	Professional Placement-Science	Autumn	5
MATH30180	An Intro to Coding Theory	Spring	5
MATH40480	Probability Theory	Spring	5
Stage 4 Options - A)MIN2OF: Students select at least 15 credits from the list below. Please note that students who successfully completed SCI30080 will be registered by the School to the module. Students take MATH30340 subject to resourcing and approval of module coordinator.

		Award		GPA
Programme	Module Weightings	Rule Description	Description
BHSCI001	Stage 4 - 70.00% Stage 3 - 30.00%	Standard Honours Award	First Class Honours	3.68	4.20
			Second Class Honours, Grade 1	3.08	3.67
			Second Class Honours, Grade 2	2.48	3.07
			Pass	2.00	2.47