PG Certificate in Advanced Mathematics and Statistics for Engineers

Mariya Ptashnyk

Programme Director:  Dr Mariya Ptashnyk

Programme Codes: F130-AMD

Programme Structure and Progression Rules

_____________________________________________________________________________

Programme Structure

Semester 1 (Mandatory)
F11MT Modelling and Tools
Semester 1 (Optional)Semester 2 (Optional) 
F11AM Mathematical Ecology F11AN Mathematical Biology and Medicine
F11MM Optimization F11ND Numerical Analysis of PDEs
F11ST Special Topics 1 F11SU Special Topics 2
F71SM Statistical Methods F71PT Portfolio Theory

Composition: 
1 mandatory course and choose 3 optional courses

Awards, Credits & Level
60 SCQF credits for PG Cert; incl 60 credits at Level 11

MSc Quantitative Finance and Mathematics

Dominic Breit

Programme Director:  Dr Dominic Breit

Programme Code: F1FM-QFM

For further information about course choices consult:

_____________________________________________________________________________

Semester 1 Timetable                                         Semester 2 Timetable

Programme Structure

Semester 1 (Mandatory)Semester 2 (Mandatory)
F11MT Modelling and Tools F11DA Data Assimilation
F71DV Derivative Markets and Pricing Semester 2 (Optional Choose 3)
Semester 1 (Optional Choose 2)F11ND Numerical Analysis (PDEs)
F11FM Functional AnalysisF11SS Stochastic Simulation
F11MM  Optimization F71AP Advanced Derivative Pricing
F21ML Statistical Machine LearningF71AR Applied Risk Management
F71QR Quantitative Risk Analysis F71CM Credit Risk Modelling
F71SM Statistical MethodsF71DA Data Analytics and Time Series Analysis
C31FM Financial MarketsF71PT Portfolio Theory
F79BI Bayesian Inference and Computational Methods

Semester 3:
F11HM Masters Project 

Composition: 
8 taught courses (3 mandatory + 5 optional) plus a dissertation

Awards, Credits & Level
180 SCQF Credits including a minimum of 150 SCQF credits at Level 11
120 SCQF Credits including a minimum of 90 SCQF credits at Level 11
60 SCQF Credits including a minimum of 40 SCQF credits at Level 11

MSc Mathematics

Mariya Ptashnyk

Programme Director:  Dr Mariya Ptashnyk

Programme Code: F1MM-MAT

For further information about course choices consult:

_____________________________________________________________________________

Semester 1 Timetable                                         Semester 2 Timetable

Programme Structure

Semester 1 (Mandatory)Semester 2 (Mandatory)
F11MT Modelling and Tools F11MP Partial Differential Equations
F11FM Functional Analysis
Semester 1 (Optional Choose 2)Semester 2 (Optional Choose 3)
F11AE Applied Mathematics E F11AN Mathematical Biology and Medicine
F11AM Mathematical Ecology F11DA Data Assimilation
F11MM Optimisation
F11ND Numerical Analysis (PDEs)
F11NC Numerical Analysis ODEs F11PF Pure Mathematics F
F11PE Pure Mathematics E F11PG Geometry
F11SS Stochastic Simulation

Semester 3:
F11GM MSc Dissertation

Or other suitable course(s) at level 11

Awards, Credits & Level
180 SCQF credits for MSc; incl 180 credits at Level 11
120 SCQF credits for PG Dip; inc 120 credits at Level 11
60 SCQF credits for PG Cert; incl 60 credits at Level 11

MSc Mathematical Biology, Ecology and Medicine

Mariya Ptashnyk

Programme Director:   Dr Mariya Ptashnyk

Programme Code: F1BM-BEM

For further information about course choices consult:

_____________________________________________________________________________

Semester 1 Timetable                                         Semester 2 Timetable

Programme Structure

Semester 1 (Mandatory)Semester 2 (Mandatory)
F11AM Mathematical Ecology
F11AN Mathematical Biology and Medicine
F11MT Modelling and Tools F11DA Data Assimilation
F11MS Modelling and Simulation in the Life Sciences
Semester 1 (Optional Choose 1)
Semester 2 (Optional Choose 2)
F11MM Optimisation 

F11AL  Applied Linear Algebra 
F11NC Numerical Analysis ODEs 
F11MP Partial Differential Equations 
F71SM Statistical Methods
  F11ND Numerical Analysis of PDEs
F11SS Stochastic Simulation
F79BI Bayesian Inference and Computational Methods

Semester 3:
F11GM MSc Dissertation 

Or other suitable course(s) at the level 11

Awards, Credits & Level
180 SCQF credits for MSc; incl at least 150 credits at Level 11
120 SCQF credits for PG Dip; incl at least 90 credits at Level 11
60 SCQF credits for PG Cert; incl at least 40 credits at Level 11

MSc Computational Mathematics

Dominic Breit

Programme Director: Dr Dominic Breit

Programme Code : F1CM-COM

For further information about course choices consult:

_____________________________________________________________________________

Semester 1 Timetable                                         Semester 2 Timetable

Programme Structure

Semester 1 MandatorySemester 2 Mandatory
F11MT Modelling and ToolsF11SS Stochastic Simulation
 F11ND Numerical Analysis of PDEs
Semester 1 Optional (choose 3) Semester 2 Optional (choose 2)
F11AE Applied Mathematics EF11AL Applied Linear Algebra
F11AM Mathematical EcologyF11AN Mathematical Biology and Medicine
F11FM Functional AnalysisF11DA Data Assimilation 
F11MM Optimisation F11MP Partial Differential Equations
F11MS Modelling and Simulation in Life SciencesF79BI Bayesian Inference and Computational Methods
F11NC Numerical Analysis ODEs 
F71SM Statistical Methods 

Or other suitable course(s) at level 11

F11GM MSc Dissertation (MSc Only)

Composition: 
8 courses (3 mandatory & 5 optional) plus a project/ dissertation for MSc.
8 taught courses (3 mandatory & 5 optional)

Awards, Credits & Level
180 SCQF credits for MSc; incl at least 150 credits at Level 11
120 SCQF credits for PG Dip; incl at least 90 credits at Level 11
60 SCQF credits for PG Cert; incl at least 40 credits at Level 11

MSc Applied Mathematical Sciences with Climate Change Modelling

Mariya Ptashnyk

Programme Director:  Dr Mariya Ptashnyk

Programme Code: F1C7-CCM

For further information about course choices consult:

_____________________________________________________________________________

Semester 1 Timetable                                         Semester 2 Timetable

Programme Structure

Semester 1 (Mandatory)Semester 2 (Mandatory)
D11CA Climate Change, Sustainability and Adaptation
F11DA Data Assimilation
F11AM Mathematical Ecology

F11MT Modelling and Tools
Semester 1 (Optional – choose 1)Semester 2 (Optional – choose 3)
F11MM Optimisation F11AL Applied Linear Algebra
F11MS Modelling and Simulation in Life Sciences F11AN Mathematical Biology and Medicine
F71SM Statistical Methods F11MP Partial Differential Equations
F11ND Numerical Analysis of PDEs
F11SS Stochastic Simulation
F79BI Bayesian Inference and Computational methods

Semester 3: F11GM MSc Dissertation (MSc Only)

Or other suitable course(s) at level 11

Awards, Credits & Level
180 SCQF credits for MSc; incl at least 150 credits at Level 11
120 SCQF credits for PG Dip; incl at least 90 credits at Level 11
60 SCQF credits for PG Cert; incl at least 40 credits at Level 11

MSc Applied Mathematical Sciences (2 Years)

Mariya Ptashnyk

Programme Director:  Dr Mariya Ptashnyk

Programme Code: F1MS-TAM

For further information about course choices consult:

_________________________________________________________________

Year 1

Semester 1 Timetable                    Semester 2 Timetable

Programme Structure

Semester 1 (Mandatory) Semester 2 (Mandatory)
C69RP Research Preparation in English (1) C69RQ Research Preparation in English (2)

Composition: 
8 courses (2 mandatory & 6 optional)

Students should also choose 3 optional courses each semester from level 8 or 9 Maths (F1) or Statistics (F7) subjects. Guidance is provided to students on selection of courses and course choice must be approved by the Programme Director.

F1 Courses F7 Courses

Year 2

Semester 1 Timetable                                         Semester 2 Timetable

Programme Structure

Semester 1 (Mandatory)Semester 2 (Mandatory)
F11MM Optimisation
F11MT Modelling and Tools
Semester 1 (Optional – Choose 2) Semester 2 (Optional – Choose 4)
F11AE Applied Mathematics E
F11AL Applied Linear Algebra
F11AM Mathematical Ecology F11AN Mathematical Biology and Medicine
F11FM Functional Analysis F11DA Data Assimilation
F11MS Modelling and Simulation in the Life Sciences F11MP Partial Differential Equations
F11NC Numerical ODEs F11ND  Numerical Analysis of PDEs
F71SM Statistical Methods F11SS Stochastic Simulation
F79BI Bayesian Inference and Computational methods

Semester 3:
F11GM MSc Dissertation

Composition: 
8 courses (2 mandatory & 6 optional) plus project/ dissertation for MSc

Awards, Credits & Level
180 SCQF credits for MSc; incl at least 150 credits at Level 11
120 SCQF credits for PG Dip; incl at least 90 credits at Level 11
60 SCQF credits for PG Cert; incl at least 40 credits at Level 11

MSc Applied Mathematical Sciences

Mariya Ptashnyk

Programme Director: Dr Mariya Ptashnyk

Programme Code: F147-APM

For further information about course choices consult:

_________________________________________________________________

Semester 1 Timetable Semester 2 Timetable

Programme Structure

Semester 1 (Mandatory)Semester 2 (Mandatory)
F11MM Optimisation
F11MT Modelling and Tools
Semester 1 (Optional – Choose 2) Semester 2 (Optional – Choose 4) 
F11AE Applied Mathematics E  F11AL Applied Linear Algebra 
F11AM Mathematical Ecology  F11AN Mathematical Biology and Medicine 
F11FM Functional Analysis  F11DA Data Assimilation
F11MS Modelling and Simulation in Life Sciences F11MP Partial Differential Equations 
F11NC Numerical ODEs F11ND Numerical Analysis of PDEs 
F71SM Statistical Methods F11SS Stochastic Simulation 

F79BI Bayesian Inference and Computational methods 

Semester 3:
F11GM Masters Project and Dissertation

Or other suitable course(s) at level 11

Awards, Credits & Level
180 SCQF credits for MSc; incl at least 150 credits at Level 11
120 SCQF credits for PG Dip; incl at least 90 credits at Level 11
60 SCQF credits for PG Cert; incl at least 40 credits at Level 11

Graduate Diploma/Certificate in Mathematical Sciences

Nick Gilbert

Programme Director: Nick Gilbert

Programme Code: F1G5-MAS

For further information about course choices consult:

_____________________________________________________________________________

Semester 1 Timetable                                         Semester 2 Timetable

Programme Pathways

You may take the Graduate Certificate either as a qualification in its own right as a graduating student or as a pathway on to a PGDip or MSc programme as a non-graduating student.  Graduating students may also take the Graduate Diploma by choosing courses at a higher level.  Non-graduating students have more flexibility in their course choices, and can opt for some lower-level courses.  The Programme Director will advise students on appropriate choices for their pathways.

Graduate Diploma

You need to take 8 courses at level 9 or 10, and pass all of them at grade D or better.

Graduate Certificate

You need to take at least 6 courses, with at least 4 at level 9 or higher, pass them all at grade E or better, and with an overall average of at least 40%.

Non-graduating pathways

You may choose to follow a non-graduating pathway within the Graduate Certificate programme, either to develop your mathematical qualifications and experience, or as entry route to a PGDip or MSc programme.  Some typical pathways are given below: your choice of pathway and your course choices must be approved by the Programme Director.   All pathways require the study of at least six courses, and you may study up to eight: the same tuition fee applies.

  • Pathway on to the Actuarial Science PGDip/MSc

You must study at least six courses.

Mandatory Courses:

CodeSemesterCourse titleLevel
F77SA 1Introduction to Statistical Science A7
F78PA1Probability and Statistics A8
F77SB2Introduction to Statistical Science B7
F78PB2Probability and Statistics B8

Optional Courses:

CodeSemesterTitleLevel
F17CA1Calculus A7
F18CD1Multivariable Calculus & Real Analysis A8
F18CF1Linear Algebra8
F18AA1Applied Mathematics A8
F17CB2Calculus B7
F18CE2Multivariable Calculus & Real Analysis B8
F18NA2Numerical Analysis A8
F18PA2Pure Mathematics A8
  • Pathway on to PGDip/MSc programmes in Mathematics

You must study at least six courses.

Compulsory Courses

CodeSemesterTitleLevel
F18CF1Linear Algebra8
F18NA2Numerical Analysis A8
F19MO2Ordinary Differential Equations8

Optional Courses:

CodeSemesterTitleLevel
F18CD1Multivariable Calculus & Real Analysis A8
F18AA1Applied Mathematics A8
F78PA1Probability and Statistics A8
F19MV1Vector Analysis9
F18CE2Multivariable Calculus & Real Analysis B8
F78PB2Probability and Statistics B8
F19MC2Complex Analysis9
F18NA2Numerical Analysis A8
F19AB2Applied Mathematics B9

Composition:
Grad Cert 6 taught courses (all optional) Grad Dip 8 taught courses (all optional)

Awards, Credits & Level

  • 90 SCQF credits for Grad Cert; incl 60 credits at Level 9 or above
  • 120 SCQF credits for Grad Dip; with all credits at Level 9 or above