UCC College Calendar Main Index

2011/2012

MATHEMATICAL SCIENCES

NFQ Level 8, Major Award

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. In addition, eligible students may pursue a Joint Honours BSc Degree in either Applied Mathematics and Physics or in Mathematics and Physics.

Note: 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

FIRST SCIENCE

 

SECOND SCIENCE

 

THIRD SCIENCE

 

FOURTH SCIENCE


 


 
 


CK407

 

BSc Single Honours

 

BSc Single Honours

 

BSc Single Honours

             


Mathematical Sciences


Mathematical Sciences


Mathematical Sciences



AM (25 credits) + MA (25 credits) + ST (10 credits)


AM (30 credits)*
+ at least 10 credits from each of MA and ST


AM (30 credits)**
+ at least 10 credits from each of MA and ST



or


or


or



AM (25 credits)
+ MA (15 credits)
+ ST (20 credits)


MA (30 credits)*
+ at least 10 credits from each of AM and ST


MA (30 credits)**
+ at least 10 credits from each of AM and ST



or


or


or



AM (20 credits)
+ MA (20 credits)
+ ST (20 credits)


ST (30 credits)*
+ at least 10 credits from each of AM and MA


ST (30 credits)**
+ at least 10 credits from each of AM and MA



or


or


or



AM (15 credits)
+ MA (25 credits)
+ ST (20 credits)


AM (30 credits)*
+ MA (30 credits)*


AM (30 credits)**
+ MA (30 credits)**





or


or

   
 

MA (30 credits)*
+ ST (30 credits)*

 

MA (30 credits)**
+ ST (30 credits)**

       

or

 

or

       

ST (30 credits)*
+ AM (30 credits)*

 

ST (30 credits)**
+ AM (30 credits)**

        *In order to take 30 credits of any subject in Third and Fourth Science, at least 20 credits of that subject must have been taken in Second Science   **In order to take 30 credits of any subject in Fourth Science, 30 credits of that subject must have been taken in Third Science
             


Financial Mathematics and Actuarial Science


Financial Mathematics and Actuarial Science


Financial Mathematics and Actuarial Science



AM (10 credits) +
MF (15 credits) +
MA (20 credits) +
ST (15 credits)


AM (10 credits) +
MA (5 credits) +
MA/AM/ST (5 credits) +
MF (10 credits) +
ST (20 credits) +
EC or PA (10 credits) if not taken in First Year, otherwise
10 credits of electives from the following: AC/AM/MA/ST


MF (25 credits) +
MA (5 credits) +
ST (5 credits) +
25 credits of electives from the following:
AC/AM/MA/ST


CK407

BSc Joint Honours


BSc Joint Honours


BSc Joint Honours



AM + PY


AM + PY


AM + PY



AM (25 credits) +
MA (5 credits) +
PY (30 credits)


AM (30 credits) +
PY (30 credits)


AM (30 credits) +
PY (30 credits)

             


MA + PY


MA + PY


MA + PY



AM (10 credits) + MA (20 credits) +
PY (30 credits)


MA (30 credits) +
PY (30 credits)


MA (30 credits) +
PY (30 credits)

PROGRAMME REQUIREMENTS

The modules taken in the above programme structures are as follows:

BSc Single Honours - Mathematical Sciences

SECOND SCIENCE

Students take 60 credits as outlined below. Note: Students should refer to
Table 6 (above) for subject combinations.

Applied Mathematics:


Students taking 25 credits of Applied Mathematics
take the following:

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


Students taking 20 credits of Applied Mathematics
take the following:

AM2052, AM2060, AM2061, AM2071 (each 5 credits)

   

Students taking 15 credits of Applied Mathematics
take the following:

AM2052, AM2071, AM2072 (each 5 credits)

   

Mathematics:


Students taking 25 credits of Mathematics
take the following:

MA2051, MA2054, MA2055, MA2059, MA2071 (each 5 credits)

 

Students taking 20 credits of Mathematics
take the following:

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



Students taking 15 credits of Mathematics
take the following:

MA2051, MA2055, MA2071 (each 5 credits)



Statistics


Students taking 20 credits of Statistics
take the following:

ST2053 (5 credits), ST2054 (10 credits), ST4401 (5 credits)

   

Students taking 10 credits of Statistics
take the following:

ST2054 (10 credits)

   
THIRD SCIENCE

Students take 60 credits as outlined below. Note: In order to take 30 credits of any subject in Third Science,
at least 20 credits of that subject must have been taken in Second Science. Students should refer to
Table 6 above for subject combinations and to the Book of Modules for module pre-requisites.



Applied Mathematics:

AM3051, AM3052, AM3061, AM3062, AM3063, AM3064 (each 5 credits)

:

Mathematics:

MA3051, MA3052, MA3053, MA3054 , MA3056, MA3060 (each 5 credits)



Statistics:

ST3050 (5 credits), ST3051 (10 credits), ST3053 (5 credits), ST3054 (5 credits), ST3055 (5 credits)

   

Students taking 10 credits of Statistics
take the following:

ST3051 (10 credits)
   
FOURTH SCIENCE

Students take 60 credits as outlined below. Note: In order to take 30 credits of any subject in Fourth Science, at least 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:

MA4051, MA4052, MA4053, MA4058, MA4061, MF4054 (each 5 credits)

 

Statistics:

Students taking 30 credits of Statistics select 30 credits from the following:
ST3064 (5 credits), ST3074 (5 credits), MF4055 (5 credits), ST4050 (10 credits), ST4066 (5 credits), ST4067 (5 credits)
Students taking 10 credits of Statistics choose from the following:
ST3050, ST3053, ST3054, ST3064, ST4066, ST4067, MF4055 (each 5 credits)

Note: Any elective module, selected in 4th year, must not have been taken in any previous year.

Module descriptions are contained in the Book of Modules, 2011/2012.

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 2012 Book, and for each module in the Book of Modules 2011/2012, 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.

BSc Single Honours - Financial Mathematics and Actuarial Science

SECOND SCIENCE

Students take 60 credits as follows:

     

Applied Mathematics:

 

AM2071 (5 credits)

Financial Mathematics:

 

MF2050 (5 credits), MF2052 (10 credits), MF2053 (5 credits)

Mathematics:

 

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

Statistics:

 

ST2053 (5 credits), ST2054 (10 credits)

     

THIRD SCIENCE

Students take 60 credits as follows:

 

Core Modules

Applied Mathematics:

 

AM2061 (5 credits)

Financial Mathematics:

 

MF2053 (5 credits), MF3052 (5 credits), MF3053 (5 credits)

Mathematics:

 

MA3051 (5 credits), [MA3054 (5 credits) or AM3051 (5 credits)

    or ST3054 (5 credits)]

Statistics:

 

ST3051 (10 credits), ST3053 (5 credits), ST3055 (5 credits)

and modules to the value of 10 credits from the following:

Elective Modules

   

 

 

EC1206 (10 credits) or PA1003 (10 credits) or, if one of these two modules has already been taken in 1st year, 10 credits from the following:
AC1117 (10 credits), AM2052 (5 credits), AM2055 (5 credits),
AM2056 (5 credits), AM3052 (5 credits), AM3064 (5 credits)
AM3051 (5 credits), MA3052 (5 credits), MA3053 (5 credits), MA3054 (5 credits)
MA3056 (5 credits), ST3054 (5 credits), ST3074 (5 credits), ST3075 (5 credits)

     

FOURTH SCIENCE

Students take 60 credits as follows:

Core Modules

   

Financial Mathematics:

 

MF4051 (5 credits), MF4052 (5 credits),
MF4054 (5 credits), MF4055 (5 credits)

Mathematics:

 

MA4058 (5 credits)

Statistics:

 

ST3064 (5 credits)

Final year project:   MF4053 (5 credits) or MA4053 (5 credits) or AM4090 (5 credits) or ST4050 (10 credits)

and modules to the value of 25 credits [or 20 credits if the number of credits from the core modules sum up to 40] from the following:

Elective Modules

   
   

AC4119* (5 credits), AC4205* (5 credits) AC4403* (10 credits)
AM3061 (5 credits), AM4052 (5 credits), AM4060 (5 credits), AM4062 (5 credits), AM4063 (5 credits), AM4064 (5 credits)
MA4051 (5 credits), MA4052 (5 credits), MA4061 (5 credits), MF3053 (5 credits),
ST3054 (5 credits), ST3074 (5 credits), ST3075 (5 credits), ST3090 (5 credits), ST4050 (10 credits),
ST4066‡ (5 credits), ST4068‡ (10 credits), ST4401 (5 credits).

Note:

Module descriptions are contained in the Book of Modules, 2011/2012.

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 2012 Book , and for each module in the Book of Modules, 2011/2012, 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.

BSc Joint Honours - Applied Mathematics and Physics or Mathematics and Physics

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:

   
     

Applied Mathematics (10 credits):

 

AM2071 (5 credits), AM2072 (5 credits):

Mathematics (20 credits):

 

MA2051 (5 credits), MA2054 (5 credits), MA2055 (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)

     

THIRD SCIENCE

Students take 60 credits as follows:

Applied Mathematics and Physics:

   
     

Applied Mathematics (30 credits):

 

AM3051, AM3052,
AM3061, AM3062, AM3063, AM3064 (each 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)

 

 

 

Mathematics and Physics:

   
     

Mathematics (30 credits):

 

MA3051 (5 credits), MA3052 (5 credits), MA3053 (5 credits),
MA3054 (5 credits), MA3056 (5 credits), MA3060 (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)

FOURTH SCIENCE

Students take 60 credits as follows:

Applied Mathematics and Physics:

   
     

Applied Mathematics (30 credits):

 

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

     

Physics (30 credits):

 

PY4114 (5 credits) and three modules from list (A) and two
modules from list (B)


   OR
    PY3106 (5 credits), PY4110 (5 credits), PY4111 (5 credits), PY4112 (5 credits), PY4114 (5 credits) and one 5-credit module from list (A) or list (B) (other than PY3109 and PY4112).
    List (A): PY4101 (5 credits), PY4102 (5 credits),
PY4103 (5 credits), PY4105 (5 credits),
PY4108 (5 credits), PY4112 (5 credits),
CY4001 (10 credits)
List (B): PY3105 (5 credits),
PY3106 (5 credits), PY3109 (5 credits),
PY4104 (5 credits), PY4106 (5 credits),
PY4107 (5 credits), PY4109 (5 credits),
PY4110 (5 credits), PY4111 (5 credits), PY4117 (5 credits)
    Note: Students taking CY4001 cannot take PY4117 and vice versa.
    Note: If PY3106 was not taken in 3rd year, it must be included among the Physics modules taken in 4th year. If PY3106 was taken in 3rd year, it cannot be included among the Physics modules taken in 4th year.
   

Mathematics and Physics:

   
     

Mathematics (30 credits):

 

MA4051 (5 credits), MA4052 (5 credits), MA4053 (5 credits),
MA4058 (5 credits), MA4061 (5 credits), MF4054 (5 credits),

Physics (30 credits):

 

PY4114 (5 credits) and three modules from list (A) and two
modules from list (B):

    OR
    PY3106 (5 credits), PY4110 (5 credits), PY4111 (5 credits), PY4112 (5 credits), PY4114 (5 credits) and one 5-credit module from list (A) or list (B) (other than PY3109 and PY4112).
     List (A): PY4101 (5 credits), PY4102 (5 credits),
PY4103 (5 credits), PY4105 (5 credits),
PY4108 (5 credits), PY4112 (5 credits),
CY4001 (5 credits)
List (B): PY3105 (5 credits), PY3106 (5 credits),PY3109 (5 credits),
PY4104 (5 credits), PY4106 (5 credits),
PY4107 (5 credits), PY4109 (5 credits),
PY4110 (5 credits), PY4111 (5 credits), PY4117 (5 credits)
    Note: Students taking CY4001 cannot take PY4117 and vice versa.
    Note: If PY3106 was not taken in 3rd year, it must be included among the Physics modules taken in 4th year. If PY3106 was taken in 3rd year, it cannot be included among the Physics modules taken in 4th year.
   

Note: The substitution of taught modules by Project modules requires special permission from the Head of the Department. Other Elective modules may be selected from outside the Physics Department with the approval of the Head of Department.

Module descriptions are contained in the Book of Modules, 2011/2012.

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 2012 Book, and for each module in the Book of Modules, 2011/2012, 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 (Financial Mathematics and Actuarial Science)
On successful completion of this programme, students should be able to:

Programme Learning Outcomes (Mathematical Sciences)
On successful completion of this programme, students should be able to:

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