REGULATIONS AND PROGRAMME REQUIREMENTS

Students enter the Mathematical Sciences programmes through CK407 (Mathematical Sciences) Area of Study. In Second Year, two Single Honours BSc Degree Programmes are available to eligible students: Mathematical Sciences (various combinations of the subjects Mathematics, Applied Mathematics and Statistics are taken in each of Years 2, 3 and 4 of the BSc Programme), and Financial Mathematics and Actuarial Science (FMAS). In addition, eligible students may pursue a Joint Honours BSc Degree in either Applied Mathematics and Physics or in Mathematics and Physics.

Notes:

1. Individual degree programes in CK407 involve a number of electives courses. The final set of electives and 'project-related' modules offered is subject to the availability of adequate staff resources and therefore may need to be a subset of those indicated. Within the FMAS degree programme, priority will always be given to maintaining coverage of syllabi of the Institute and Faculty of Actuaries. Students should consult with School staff for guidance on their selections and the implications thereof.
   
2. The BSc Single Honours Degree in Financial Mathematics and Actuarial Science does not seek to provide a professional training programme for the examinations of the Faculty and Institute of Actuaries. Graduates who wish to pursue an actuarial career may qualify for exemption from some of the professional actuarial examinations, depending on their performance and choice of electives, and will have the necessary preparation to undertake the remaining examinations.

ELIGIBILITY FOR ENTRY TO SECOND YEAR PROGRAMMES

Students from the Mathematical Sciences Area of Study (CK407) who pass First Science may opt to enter the Single Honours Mathematical Sciences programme or the Single Honours programme in Financial Mathematics and Actuarial Science.

Students from the Mathematical Sciences Area of Study (CK407) who take the Physics modules PY1052 and PY1053 in First Science, and who pass First Science, will be eligible to enter the Joint Honours programme in Applied Mathematics and Physics or Mathematics and Physics.

The programme structures for the Mathematical Sciences are outlined in Table 6.

TABLE 6. MATHEMATICAL SCIENCES

PROGRAMME REQUIREMENTS

SECOND SCIENCE
Students take 60 credits as outlined below.

Applied Mathematics
AM2052, AM2060, AM2061, AM2071, AM2072 (each 5 credits)

Mathematics
MA2051, MA2054, MA2055, MA2071 (each 5 credits)

Statistics
ST2053 (5 credits), ST2054 (10 credits)

Module Semester Information may be found here. Module Descriptions may be found here.
THIRD SCIENCE
Students take the following 5 credit core modules:
AM3051, AM3063, AM3064, MA3051, MA3052, ST3061, ST3062

and modules from List A, subject to co/pre-requisites, for a total of 60 credits.

List A (each 5 credits)
AM3052, AM3061, AM3062,
MA3054, MA3056, MA3062, MA3063,
ST3053, ST3054, ST3055, ST4060, ST3074.

Module Semester Information may be found here. Module Descriptions may be found here.
FOURTH SCIENCE
(2015/2016 only)
Students take 60 credits as outlined below. Note: In order to take 30 credits of any subject in Fourth Science, 30 credits of that subject must have been taken in Third Science. Students should refer to Table 6 above for subject combinations and to the Book of Modules for module pre-requisites.

Applied Mathematics
AM4052, AM4060, AM4062, AM4063, AM4064, AM4090 (each 5 credits)

Mathematics
Students taking 30 credits of Mathematics take the following 20 credits:
MA4052, MA4053, MA4058, MA4059 (each 5 credits)
and 10 credits from among the following modules:
MA4062, MA4063, MF4054 (each 5 credits)

Students taking 10 credits of Mathematics select 10 credits from the following modules:
MA4052, MA4053, MA4058, MA4059, MA4062, MA4063, MF4054 (each 5 credits)

Statistics
Students taking 30 credits of Statistics select 30 credits from the following modules:
ST3074, ST4055, ST4060, ST4064, ST4090 (each 5 credits), ST4050 (10 credits), ST4068 (10 credits)

Students taking 10 credits of Statistics select 10 credits from the following modules:
ST3053, ST3054, ST4055, ST4060, ST4064 (each 5 credits), ST4068 (10 credits)

Note: Any elective module selected in Fourth Year must not have been taken in the previous year.

(2016/2017 onwards)
Students take two of the following 5 credit modules:

AM4090, MA4053, ST4090

and
at least 40 credits of modules from List B, subject to co/pre-requisites,
and
at most 10 credits of modules from List A (not previously taken), subject to co/pre-requisites, for a total of 60 credits.

Module Lists
All modules are 5 credits unless otherwise specified.

List A
AM3052, AM3061, AM3062,
MA3054, MA3056, MA3062, MA3063,
ST3053, ST3054, ST3055, ST4060, ST3074.

List B
AM4052, AM4060, AM4062, AM4063, AM4064,
MA4052, MA4058, MA4059, MA4062, MA4063,
MF4054,
ST4055, ST4064, ST4050 (10 credits), ST4069 (10 credits).

Note: Any elective module selected in Fourth Year must not have been taken in the previous year.

Module Semester Information may be found here. Module Descriptions may be found here.

Examinations

Students who have passed Third Year may choose not to proceed to Fourth Year and may opt instead to be conferred with a BSc Ordinary Degree.

Full details of regulations governing Examinations for each programme will be available in the Marks and Standards 2016 Book, and for each module in the Book of Modules 2015/2016, in advance of the relevant Examination.

Three Year Rule

Students must pass the Second and Third University Examinations in Science - Mathematical Sciences within three academic years from the date of first registration for Second and Third Years respectively; Students must pass the BSc (Hons) (Mathematical Sciences) Degree Examination within three academic years from the date of first registration for Fourth Year. Failure to comply with this rule would mean that the student would be ineligible to proceed further with his/her studies. Exceptions to this rule may be granted by the College, only for very serious reasons.

PROGRAMME REQUIREMENTS

SECOND SCIENCE
Students take 60 credits as follows:
Core Modules
AM2071 (5 credits), MA2051 (5 credits), MA2054 (5 credits), MA2055 (5 credits), MA2071 (5 credits), MF2050 (5 credits), MF2052 (10 credits), MF2053 (5 credits), ST2053 (5 credits), ST2054 (10 credits)

Module Semester Information may be found here. Module Descriptions may be found here.
THIRD SCIENCE
Students take 60 credits as follows:
Core Modules (each 5 credits unless otherwise stated):
AM2060, MA3051, MF3052, MF3053, ST3053, ST3055, ST3061, ST3062

Elective Modules to a total of 20 credits (each 5 credits unless otherwise stated):
Students who have not taken PA1003 or EC1206 in Year 1 must take PA1003 (10 credits) as an elective, together with modules from the following list:
AC4411, AM2052, AM2061, AM3051, AM3063, AM3064, MA3054, MA3056, ST3054, ST3074, ST3075

Note: Choice of Electives in Year 3 will have a direct bearing on the number of recommendations for exemptions from professional actuarial examinations for which a FMAS graduate may be eligible. FMAS students are strongly encouraged to discuss this matter with actuarial staff members before finalising their Electives. Students should consult the University's Book of Modules, 2015/2016, as the availability of many Fourth Year electives will be dependent on pre-requisites having been taken as part of Third Year.

Module Semester Information may be found here. Module Descriptions may be found here.

FOURTH SCIENCE
Students take 60 credits as follows:
Core Modules (each 5 credits unless otherwise stated):
MA4058, MF4051, MF4052, MF4054, ST4055, ST4064

Elective Modules to a total of 30 credits (each 5 credits unless otherwise stated):
Students take one of the following modules:
MA4053 or MF4090 (10 credits) or ST4050 (10 credits)
Together with modules from the following list:
AC4119*, AC4205*, AC4409*, AC4411*, AM3051, AM3061, AM3063, AM3064, AM4060, AM4062 , AM4063, AM4064, MA3054, MA3056, MA4052, MA4062, MA4063, ST3054, ST3074, ST3075, ST4060, ST4068 (10 credits), ST4072.

Note:

• Any elective module selected in Fourth Year must not have been taken in any previous year.
• *Students can take at most 10 credits from AC4119, AC4205, AC4409, and AC4411.
• Choice of electives in Year 4 will have a direct bearing on the number of recommendations for exemptions from professional actuarial examinations for which a FMAS graduate may be eligible. FMAS students are strongly encouraged to discuss this matter with actuarial staff members before finalising their electives.
• Students are also encouraged to consult the University's Book of Modules, 2015/2016, to be clear on the pre-requisites required for each Fourth Year elective.

Module Semester Information may be found here. Module Descriptions may be found here.

Examinations

Students who have passed Third Year may choose not to proceed to Fourth Year and may opt instead to be conferred with a BSc Ordinary Degree.

Full details of regulations governing Examinations for each programme will be available in the Marks and Standards 2016 Book, and for each module in the Book of Modules, 2015/2016, in advance of the relevant Examination.

Three Year Rule

Students must pass the Second and Third University Examinations in Science - Financial Mathematics and Actuarial Science within three academic years from the date of first registration for Second and Third Years respectively; Students must pass the BSc (Hons) (Financial Mathematics and Actuarial Science) Degree Examination within three academic years from the date of first registration for Fourth Year. Failure to comply with this rule would mean that the student would be ineligible to proceed further with his/her studies. Exceptions to this rule may be granted by the College, only for very serious reasons.

PROGRAMME REQUIREMENTS

SECOND SCIENCE
Students take 60 credits as follows:

Applied Mathematics and Physics
Applied Mathematics (25 credits):
AM2052 (5 credits), AM2060 (5 credits), AM2061 (5 credits), AM2071 (5 credits), AM2072 (5 credits)

Mathematics (5 credits):
MA2071 (5 credits)

Physics (30 credits):
PY2101 (5 credits), PY2102 (5 credits), PY2103 (5 credits), PY2104 (5 credits), PY2106 (5 credits), PY2107 (5 credits)

Mathematics and Physics
Mathmatics/Applied Mathematics (30 credits):
AM2071 (5 credits), MA2051 (5 credits), MA2054 (5 credits), MA2055 (5 credits), MA2071 (5 credits)
and either AM2052 (5 credits) or MS2016 (5 credits)

Physics (30 credits):
PY2101 (5 credits), PY2102 (5 credits), PY2103 (5 credits), PY2104 (5 credits), PY2106 (5 credits), PY2107 (5 credits)

Module Semester Information may be found here. Module Descriptions may be found here.
THIRD SCIENCE
Students take 60 credits as follows:

Applied Mathematics and Physics
Applied Mathematics (30 credits):
AM3051, AM3052, AM3061, AM3062, AM3063, AM3064 (5 credits per module)

Physics (30 credits):
PY3101 (5 credits), PY3102 (5 credits), PY3103 (5 credits), PY3104 (5 credits), PY3106 (5 credits), PY3107 (5 credits)
OR
PY3101 (5 credits), PY3102 (5 credits), PY3103 (5 credits), PY3104 (5 credits), PY3107 (5 credits), PY3109 (5 credits)

Mathematics and Physics
Mathematics (30 credits):
MA3051 (5 credits), MA3052 (5 credits), MA3054 (5 credits), MA3056 (5 credits), MA3062 (5 credits), MA3063 (5 credits)

Physics (30 credits):
PY3101 (5 credits), PY3102 (5 credits), PY3103 (5 credits), PY3104 (5 credits), PY3106 (5 credits), PY3107 (5 credits)
OR
PY3101 (5 credits), PY3102 (5 credits), PY3103 (5 credits), PY3104 (5 credits), PY3107 (5 credits), PY3109 (5 credits)

Module Semester Information may be found here. Module Descriptions may be found here.
FOURTH SCIENCE
Students take 60 credits as follows:

Applied Mathematics and Physics
Applied Mathematics (30 credits):
AM4052, AM4060, AM4062, AM4063, AM4064, AM4090 (5 credits per module)

Physics (30 credits):
PY4114 (5 credits) plus 25 credits from:

PY3105 (5 credits), PY3106 (5 credits), PY3109 (5 credits), PY4101 (5 credits), PY4102 (5 credits), PY4103 (5 credits), PY4104 (5 credits), PY4105 (5 credits), PY4106 (5 credits), PY4107 (5 credits), PY4108 (5 credits), PY4109 (5 credits), PY4110 (5 credits), PY4111 (5 credits), PY4112 (5 credits), PY4113 (5 credits), PY4117 (5 credits), PY4118 (5 credits)

Notes:

• At most 35 credits can be taken in any one Semester.
• If PY3106 was not taken in 3rd year, it must be included among the Physics modules taken in 4th year.
• The substitution of taught modules by project modules requires special permission from the Head of Department.
• Other elective modules may be selected from outside the Physics Department with the approval of Head of Department.
• Individual elective modules may occasionally not be offered on some calendar years.

Mathematics and Physics
Mathematics (30 credits):
Students take 20 credits of core modules as follows:
MA4052, MA4053, MA4058, MA4059 (each 5 credits)

plus 10 credits from the following: MA4062, MA4063, MF4054 (each 5 credits)

Physics (30 credits):
PY4114 (5 credits) plus 25 credits from:

PY3105 (5 credits), PY3106 (5 credits), PY3109 (5 credits), PY4101 (5 credits), PY4102 (5 credits), PY4103 (5 credits), PY4104 (5 credits), PY4105 (5 credits), PY4106 (5 credits), PY4107 (5 credits), PY4108 (5 credits), PY4109 (5 credits), PY4110 (5 credits), PY4111 (5 credits), PY4112 (5 credits), PY4113 (5 credits), PY4117 (5 credits), PY4118 (5 credits)

Notes:

• At most 35 credits can be taken in any one Semester.
• If PY3106 was not taken in 3rd year, it must be included among the Physics modules taken in 4th year.
• The substitution of taught modules by project modules requires special permission from the Head of Department.
• Other elective modules may be selected from outside the Physics Department with the approval of Head of Department.
• Individual elective modules may occasionally not be offered on some calendar years.

Module Semester Information may be found here. Module Descriptions may be found here.

Examinations

Students who have passed Third Year may choose not to proceed to Fourth Year and may opt instead to be conferred with a BSc Ordinary Degree.

Full details of regulations governing Examinations for each programme will be available in the Marks and Standards 2016 Book, and for each module in the Book of Modules, 2015/2016, in advance of the relevant Examination.

Three Year Rule

Students must pass the Second and Third University Joint Honours Examinations in Science - Mathematical Sciences within three academic years from the date of first registration for Second and Third Years respectively; Students must pass the BSc Joint Honours (Mathematical Sciences) Degree Examination within three academic years from the date of first registration for Fourth Year. Failure to comply with this rule would mean that the student would be ineligible to proceed further with his/her studies. Exceptions to this rule may be granted by the College, only for very serious reasons.

Programme Learning Outcomes for BSc in Financial Mathematics and Actuarial Science (NFQ Level 8, Major Award)
On successful completion of this programme, students should be able to:

• Apply basic mathematical concepts, theories, principles and techniques for analysis of theoretical and practical problems of a mathematical nature.
• Construct and work with basic financial-mathematical models that are used for financial prediction, contract valuation (including option valuation) and financial decision making.
• Make use of mathematical software to analyze and solve problems in financial mathematics, actuarial science and related areas.
• Communicate effectively with the quantitative financial community and with the actuarial community.
• Provide a grounding in the fundamental concepts of actuarial science as they affect the operation of insurance and other financial bodies.
• Provide grounding in the mathematical and statistical techniques which can be used to model, analyze and manage risks.
• Present fundamental actuarial ideas and arguments to others outside the actuarial profession and use such ideas to analyze business and social issues and to formulate, justify and present plausible and appropriate solutions to business and social problems.

Programme Learning Outcomes for BSc in Mathematical Sciences (NFQ Level 8, Major Award)
On successful completion of this programme, students should be able to:

• Apply their knowledge and understanding of the basic concepts, theories, principles and practical methods of the mathematical sciences to analyse and solve theoretical and practical problems.
• Give clear and organized written and verbal explanations of mathematical and statistical ideas.
• Demonstrate mastery of the core concepts of several areas of pure mathematics, applied mathematics and statistics.
• Extend course material to solve original problems.
• Recognize the interdependency of different areas of the mathematical sciences.
• Contribute effectively as members of project teams dealing with mathematical/statistical topics, including the delivery of oral presentations and written reports.