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 entering CK407 from 2019/20 may pursue a Joint Honours BSc Degree in Mathematical Sciences and Physics. Eligible students who entered CK407 in/prior to 2018/19 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 Mathematical Sceinces and Physics (students entering CK407 from 2019/20). Students who entered CK407 in/prior to 2018/19 will be eligible to enter the Joint Honours programme in Applied Mathematics and Physics or Mathematics and Physics .

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/prerequisites, for a total of 60 credits.

List A (each 5 credits)
AM3052, AM3062, AM3065,
MA3054, MA3056, MA3062, MA3063,
ST3053, ST3054, ST3055, ST4060, ST3074.

FOURTH SCIENCE
Students take 10 credits:

MS4090

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

Module Lists
All modules are 5 credits unless otherwise specified.

List A
AM3052, AM3062, AM3065,
MA3054, MA3056,
ST3053, ST3054, ST3055, ST3074, ST4060.

List B
AM4062, AM4063, AM4064, AM4065, AM4066, AM4067,
MA4052, MA4058, MA4059, MA4062, MA4063,
MF4054,
ST4061, ST4064, ST4050 (10 credits),
PY4112

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

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 and regulations governing Examinations for each programme will be contained in the Marks and Standards 2020/2021 Book and for each module in the Book of Modules, 2020/2021.

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)

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 [EC1213 and EC1214] in Year 1 must take PA1003 (10 credits) as an elective, together with modules from the following list:
AM2052, AM2061, AM2072, AM3051, AM3063, AM3064, AM3065, 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, 2020/2021, as the availability of many Fourth Year electives will be dependent on prerequisites having been taken as part of Third Year.

FOURTH SCIENCE
Students take 60 credits as follows:
Core Modules (each 5 credits unless otherwise stated):
MA4058, MF4051, MF4052, MF4054, ST4064, ST4071

Elective Modules to a total of 30 credits (each 5 credits unless otherwise stated):
Students take one of the following modules:
MS4090 (10 credits) or ST4050 (10 credits)
Together with modules from the following list:
AC4119, AC4409, AM3051, AM3063, AM3064, AM3065, AM4062 , AM4063, AM4064, AM4065, AM4066, MA3054, MA3056, MA4052, MA4062, MA4063, MF4056. ST3054, ST3074, ST3075, ST4060, ST4061, ST4068 (10 credits), ST4072.

Note:

• Any elective module selected in Fourth Year must not have been taken in any previous year.
• Choice of electives in Year 4 will have a direct bearing on the number of recommendations for exemptions from professional actuarial examinations for which an 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, 2020/2021, to ensure they meet the pre-requisites required for each Fourth Year elective.

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 and regulations governing Examinations for each programme will be contained in the Marks and Standards 2020/2021 Book and for each module in the Book of Modules, 2020/2021.

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

THIRD SCIENCE (for 2020/21 only)
Students take 60 credits as follows:

Applied Mathematics and Physics
Applied Mathematics (30 credits):
AM3051, AM3052, AM3062, AM3063, AM3064, AM3065 (5 credits per module)

Physics (30 credits):
PY3101 (5 credits), PY3102 (5 credits), PY3103 (5 credits), PY3104 (5 credits), PY3107 (5 credits)
and one of
PY3106 (5 credits)** or 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), PY3107 (5 credits)
and one of
PY3106 (5 credits)** or PY3109 (5 credits)

** If PY3106 is not taken in Third Science it must be taken in Fourth Science.

FOURTH SCIENCE (for 2020/21 and 2021/22)
Students take 60 credits as follows:

Applied Mathematics and Physics

Students take one of PY4115 (10 credits) or MS4090 (10 credits) together with

Applied Mathematics (25 credits):
AM4062, AM4063, AM4064, AM4065, AM4066 (5 credits per module)

Physics (25 credits from):
PY3105, PY3106**, PY4101, PY4102, PY4103, PY4104, PY4105, PY4106, PY4108, PY4109, PY4110, PY4111, PY4112, PY4113, PY4117, PY4118, PY4126(5 credits per module)

OR

Mathematics and Physics

Students take one of MS4090 (10 credits) or PY4115 (10 credits) together with

Mathematics (25 credits):
Students take 15 credits of core modules as follows:
MA4052, MA4058, MA4059 (each 5 credits)

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

Physics (25 credits):
Students take either : AM3062 (5 credits) or PY4101 plus 20 credits from:

AM3052, PY3105, PY3106**, PY4102, PY4103, PY4104, PY4105, PY4106, PY4108, PY4109, PY4110, PY4111, PY4112, PY4113, PY4117, PY4118, PY4126 (5 credits per module)

** If PY3106 is not taken in Third Science it must be taken in Fourth Science.

Notes:

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

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 and regulations governing Examinations for each programme will be contained in the Marks and Standards 2020/2021 Book and for each module in the Book of Modules, 2020/2021.

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 REQUIREMENTS

SECOND SCIENCE
Students take 60 credits as follows:
AM2052 (5 credits), AM2060 (5 credits), AM2061 (5 credits), AM2071 (5 credits), MA2051 (5 credits), MA2055 (5 credits), MA2071 (5 credits), PY2101 (5 credits), PY2102 (5 credits), PY2103 (5 credits), PY2106 (5 credits), PY2107 (5 credits)

THIRD SCIENCE
Students take 60 credits as follows:

Core (35 credits):
AM3051 (5 credits), MA3051 (5 credits), PY2104 (5 credits), PY3102 (5 credits), PY3103 (5 credits), PY3104 (5 credits), PY3107 (5 credits)

Electives (25 credits):
10 credits from: PY3101 (5 credits)*, PY3105 (5 credits)*, PY3106 (5 credits)*, PY3109 (5 credits), PY3106 (5 credits)
Plus
15 credits from: AM2072 (5 credits), AM3052 (5 credits), AM3062 (5 credits)**, AM3063 (5 credits), AM3064 (5 credits), AM3065 (5 credits), MA2054 (5 credits), MA3052 (5 credits), MA3054 (5 credits), MA3056 (5 credits), MA3062 (5 credits), MA3063 (5 credits), ST2054 (10 credits).

Notes:

• * at least 2 of these 3 modules must be taken during years 3 and 4
• ** AM3062 must be taken in year 4 if not taken in year 3, in which case PY4101 cannot also be taken in year 4.

FOURTH SCIENCE
Students take 60 credits as follows:

Project (10 credits)

Students take one of MS4090 (10 credits) ), or PY4115 (10 credits)

Electives (50 credits):
Students take a total of 50 credits of modules from the following lists (see note):

List A: AM3052 (5 credits), AM3062** (5 credits), AM3063 (5 credits), AM3064 (5 credits), AM3065 (5 credits), MA3052 (5 credits), MA3054 (5 credits), MA3056 (5 credits), ST3053 (5 credits)

List B: AM4062 (5 credits), AM4063 (5 credits), AM4064 (5 credits), AM4065 (5 credits), AM4066 (5 credits), MA4052 (5 credits), MA4058 (5 credits), MA4059 (5 credits), MA4062 (5 credits), MA4063 (5 credits), MF4054 (5 credits)

List C: PY3101* (5 credits), PY3105* (5 credits), PY3106* (5 credits)

List D: PY4101** (5 credits),PY4102 (5 credits), PY4103 (5 credits), PY4104 (5 credits), PY4105 (5 credits), PY4106 (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:

• A total of 25 credits must be taken from the combination of Lists A and B
• A total of 25 credits must be taken from the combination of Lists C and D
• A total of at most 15 credits may be taken from the combination of Lists A and C, and only modules not previously taken may be chosen
• *at least 2 of these 3 modules must be taken during years 3 and 4
• ** AM3062 must be taken in year 4 if not taken in year 3, in which case PY4101 cannot also be taken in year 4.

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 and regulations governing Examinations for each programme will be contained in the Marks and Standards 2020/2021 Book and for each module in the Book of Modules, 2020/2021.

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.