DPT: Mathematics (MMath Hons) (UTMMATHEMA1F)

Year 1, Academic year 2016/17, Starting month: September

Notes: Before selecting your outside courses, please ensure you have met your Personal Tutor.

Students must pass the following courses to progress to Year 2 of this programme :
MATH08057 Introduction to Linear Algebra AND
MATH08058 Calculus and its Applications AND
MATH08059 Proofs and Problem Solving

COMPULSORY COURSES
This DPT has 3 compulsory course(s).

Code	Course Name	Period	Credits
MATH08057	Introduction to Linear Algebra	Semester 1	20

MATH08058	Calculus and its Applications	Semester 2	20

MATH08059	Proofs and Problem Solving	Semester 2	20

COURSE OPTIONS
This DPT has 1 set(s) of course options with the following rules.

Select exactly 60 credits from Level 7 and 8 courses in Schedules A to Q, T and W, as available

Year 2, Academic year 2016/17, Starting month: August

Notes: Students must have passed the following courses to progress to Year 2 of this programme :
MATH08057 Introduction to Linear Algebra AND
MATH08058 Calculus and its Applications AND
MATH08059 Proofs and Problem Solving

Students must pass the following courses to progress to Year 3 of this programme :
MATH08063 Several Variable Calculus and Differential Equations AND
MATH08064 Fundamentals of Pure Mathematics

Students are normally required to obtain an average of at least 60% in Year 3 in order to progress to Year 4 of MMath.

In 2016-17, students *hoping to study abroad in Year 3* of the MMath degree programme are expected to obtain an average of at least 70% in MATH08063 Several Variable Calculus and Differential Equations AND MATH08065 Fundamentals of Pure Mathematics.

From 2017-18, students *hoping to study abroad in Year 4* of this programme are expected to obtain an average of at least 65% in MATH10069 Honours Algebra AND MATH10066 Honours Differential Equations AND MATH10068 Honours Analysis AND MATH10067 Honours Complex Variables.

COMPULSORY COURSES
This DPT has 3 compulsory course(s).

Code	Course Name	Period	Credits
MATH08063	Several Variable Calculus and Differential Equations	Semester 1	20

MATH08064	Fundamentals of Pure Mathematics	Semester 2	20

MATH08065	Computing and Numerics	Semester 2	10

COURSE OPTIONS
This DPT has 4 set(s) of course options with the following rules.

Overarching rule collection group: A
Select exactly 70 credits from these collections:

Select a minimum of 0 credits and maximum of 30 credits from the following list of courses, as available

Code	Course Name	Credits
MATH08062	Accelerated Algebra and Calculus for Direct Entry	20
MATH08071	Accelerated Proofs and Problem Solving	10

Notes:*BOTH COURSES are COMPULSORY for DIRECT ENTRY STUDENTS* : continuing students are not permitted to take these courses

AND

Select a minimum of 10 credits and maximum of 20 credits from the following list of courses, as available

Code	Course Name	Credits
MATH08066	Probability	10
MATH08067	Probability with Applications	20

AND

Select a minimum of 0 credits and maximum of 20 credits from the following list of courses, as available

Code	Course Name	Credits
MATH08051	Statistics (Year 2)	10
MATH08068	Facets of Mathematics	10

Notes:*The above are RECOMMENDED courses*

AND

Select a minimum of 0 credits and maximum of 60 credits from Level 7, 8 and 9 courses in Schedules A to Q, T and W, as available

Year 3, Academic year 2016/17, Starting month: August

Notes: Students must have passed the following courses to progress to Year 3 of this programme :
MATH08063 Several Variable Calculus and Differential Equations AND
MATH08064 Fundamentals of Pure Mathematics

AND

Students are normally required to obtain an average of at least 60% in Year 3 in order to progress to Year 4 of MMath.

In 2016-17, students hoping to *study abroad in Year 3* of the MMath degree programme are expected to obtain an average of at least 70% in MATH08063 Several Variable Calculus and Differential Equations AND MATH08065 Fundamentals of Pure Mathematics.

From 2017-18, students hoping to *study abroad in Year 4* of this programme are expected to obtain an average of at least 65% in MATH10069 Honours Algebra AND MATH10066 Honours Differential Equations AND MATH10068 Honours Analysis AND MATH10067 Honours Complex Variables.

COMPULSORY COURSES
This DPT has 4 compulsory course(s).

Code	Course Name	Period	Credits
MATH10069	Honours Algebra	Semester 2	20

MATH10066	Honours Differential Equations	Semester 1	20

MATH10068	Honours Analysis	Semester 1	20

MATH10067	Honours Complex Variables	Semester 2	20

COURSE OPTIONS
This DPT has 3 set(s) of course options with the following rules.

Overarching rule collection group: A
Select exactly 40 credits from these collections:

Select a minimum of 0 credits and maximum of 30 credits from the following list of courses, as available

Code	Course Name	Credits
MATH10003	Financial Mathematics	10
MATH10005	Linear Statistical Modelling	10
MATH10071	Introduction to Number Theory	10
MATH10059	Numerical Linear Algebra and Applications	10
MATH10074	Geometry	10

Notes:SEMESTER 1 courses - please confirm delivery period using the course links

AND

Select a minimum of 0 credits and maximum of 30 credits from the following list of courses, as available

Code	Course Name	Credits
MATH10004	Likelihood	10
MATH10007	Stochastic Modelling	10
MATH10073	Linear Programming, Modelling and Solution	10
MATH10060	Numerical Ordinary Differential Equations and Applications	10
MATH10070	Statistical Communication Skills	10
MATH09022	Statistics (Yr 3)	10
MATH10072	Combinatorics and Graph Theory	10

Notes:SEMESTER 2 courses - please confirm delivery period using the course links

AND

Select a minimum of 0 credits and maximum of 20 credits from Level 9 and 10 courses in Schedules A to Q, T and W, as available

Year 4, Academic year 2016/17, Starting month: August

Notes: Students are normally required to obtain an average of at least 60% in Year 3 in order to progress to Year 4 of MMath. In the senior Honours years, detailed information about individual courses, as well as restrictions on the choice will be available to students.

*120 points at Level 11 MUST be taken overall in years 4 and 5.*

COMPULSORY COURSES
This DPT has 0 compulsory course(s).

Code

Course Name

Period

Credits

COURSE OPTIONS
This DPT has 7 set(s) of course options with the following rules.

Select a minimum of 20 credits and maximum of 40 credits from the following list of courses, as available

Code	Course Name	Credits
MATH10063	Mathematics Project	20
MATH10010	Mathematical Education	20

AND

Overarching rule collection group: A
Select a minimum of 80 credits and a maximum of 100 credits from these collections:

Select a minimum of 0 credits and maximum of 80 credits from the following list of courses, as available

Code	Course Name	Credits
MATH10024	Probability, Measure & Finance	20
MATH10081	Linear and Fourier Analysis	20
MATH10078	Group and Galois Theory	20
MATH10075	General and Algebraic Topology	20

AND

Select a minimum of 0 credits and maximum of 50 credits from the following list of courses, as available

Code	Course Name	Credits
MATH10003	Financial Mathematics	10
MATH10059	Numerical Linear Algebra and Applications	10
MATH10005	Linear Statistical Modelling	10
MATH10065	Fundamentals of Operational Research	10
MATH10028	Theory of Statistical Inference	10
MATH10071	Introduction to Number Theory	10
MATH10086	Advanced Methods of Applied Mathematics	20
MATH11140	Applied Dynamical Systems	10
MATH10047	Essentials in Analysis and Probability	10
MATH10076	General Topology	10
MATH10074	Geometry	10
MATH10079	Group Theory	10
MATH10082	Linear Analysis	10
MATH10017	Commutative Algebra	10
MATH10013	Mathematical Biology	10
MATH11136	Real Analysis	10
MATH11143	Topics in Noncommutative Algebra	10
MATH10092	Statistical Consultancy	10
MATH11179	Variational Calculus	10

Notes:SEMESTER 1 courses - please confirm delivery period using the course links

AND

Select a minimum of 0 credits and maximum of 50 credits from the following list of courses, as available

Code	Course Name	Credits
MATH10004	Likelihood	10
MATH10007	Stochastic Modelling	10
MATH11024	The Analysis of Survival Data	10
MATH10051	Fourier Analysis	10
MATH10052	Nonparametric Regression	10
MATH10015	Simulation	10
MATH10064	Multivariate Data Analysis	10
MATH10060	Numerical Ordinary Differential Equations and Applications	10
MATH10077	Algebraic Topology	10
MATH10072	Combinatorics and Graph Theory	10
MATH10080	Galois Theory	10
MATH11138	Geometry of General Relativity	10
MATH10073	Linear Programming, Modelling and Solution	10
MATH10070	Statistical Communication Skills	10
MATH10085	Stochastic Differential Equations	10
MATH10088	Differentiable Manifolds	10
MATH10044	Numerical Partial Differential Equations	10
MATH10091	Symmetry and Geometry	10
MATH10089	Elliptic Partial Differential Equations	10
MATH11145	Interactions in Algebra, Geometry, and Topology	10
MATH11141	Multi-scale Methods in Mathematical Modelling	10
MATH11120	Algebraic Geometry	10
MATH11181	Mathematics in Action B	10

Notes:SEMESTER 2 courses - please confirm delivery period using the course links

AND

Select a minimum of 0 credits and maximum of 30 credits from the following list of courses, as available

Code	Course Name	Credits
MATH11111	Fundamentals of Optimization	10
MATH11158	Optimization Methods in Finance	10
MATH11147	Large Scale Optimization for Data Science	10
MATH11031	Nonlinear Optimization	10
MATH11177	Bayesian Theory	10
MATH11175	Bayesian Data Analysis	10
MATH11152	Object-Oriented Programming with Applications	10
MATH11088	Finance, Risk and Uncertainty	10
MATH11132	Financial Risk Theory	10
MATH11029	Stochastic Modelling	10

Notes:These Postgraduate Taught courses may be taken by Undergraduate students *without* requiring a concession (NB. students on Postgraduate taught programmes are given priority in the allocation of places). For all other Postgraduate Taught courses the student and/or Personal Tutor must seek a concession.

AND

Select a minimum of 0 credits and maximum of 20 credits from the following list of courses, as available

Code	Course Name	Credits
INFR11111	Computer Algebra	10
PHIL10133	Logic, Computability and Incompleteness	20
SSPS10024	Multi-Level Modelling in Social Science	20
PGSP11424	Multi-Level Modelling in Social Science	20
BUST10134	Mathematical Programming in Advanced Analytics	20
BUST10133	Decision Analytics	20

Notes:Students may take only one 'Multi-Level Modelling in Social Science' course during their degree programme, ie. *either* SSPS10024 (Level 10) *or* PGSP11424 (Level 11).

AND

Select a minimum of 0 credits and maximum of 20 credits from Level 10 and 11 courses in Schedules A to Q, T and W, as available

Year 5, Academic year 2016/17, Starting month: August

Notes:
In the Senior Honours (Y4) and Integrated Masters (Y5) years, detailed information about individual courses, as well as restrictions on the choice will be available to students.
Course choices in the final year are agreed with the School of Mathematics, so that they constitute a focussed programme of study.

*120 points at Level 11 MUST be taken overall in years 4 and 5.*

NB. Courses labelled as 'postgraduate' in DRPS may not normally be taken as part of this programme - apart from those listed in the Course Options collection A, below. Postgraduate courses can be taken only with the permission of the Director of Teaching. This will not be given where there is substantial overlap with Mathematics courses already taken for credit.

COMPULSORY COURSES
This DPT has 1 compulsory course(s).

Code	Course Name	Period	Credits
MATH11127	Mathematics Dissertation	Full Year	40

COURSE OPTIONS
This DPT has 6 set(s) of course options with the following rules.

Overarching rule collection group: A
Select exactly 80 credits from these collections:

Select a minimum of 0 credits and maximum of 80 credits from the following list of courses, as available

Code	Course Name	Credits
MATH10024	Probability, Measure & Finance	20
MATH10081	Linear and Fourier Analysis	20
MATH10078	Group and Galois Theory	20
MATH10075	General and Algebraic Topology	20

AND

Select a minimum of 0 credits and maximum of 50 credits from the following list of courses, as available

Code	Course Name	Credits
MATH10003	Financial Mathematics	10
MATH10059	Numerical Linear Algebra and Applications	10
MATH10005	Linear Statistical Modelling	10
MATH10065	Fundamentals of Operational Research	10
MATH10028	Theory of Statistical Inference	10
MATH10071	Introduction to Number Theory	10
MATH10086	Advanced Methods of Applied Mathematics	20
MATH11140	Applied Dynamical Systems	10
MATH10047	Essentials in Analysis and Probability	10
MATH10076	General Topology	10
MATH10074	Geometry	10
MATH10079	Group Theory	10
MATH10082	Linear Analysis	10
MATH10017	Commutative Algebra	10
MATH10013	Mathematical Biology	10
MATH11136	Real Analysis	10
MATH11143	Topics in Noncommutative Algebra	10
MATH10092	Statistical Consultancy	10
MATH11179	Variational Calculus	10

Notes:SEMESTER 1 courses - please confirm delivery period using the course links

AND

Select a minimum of 0 credits and maximum of 50 credits from the following list of courses, as available

Code	Course Name	Credits
MATH10004	Likelihood	10
MATH10007	Stochastic Modelling	10
MATH11024	The Analysis of Survival Data	10
MATH10051	Fourier Analysis	10
MATH10052	Nonparametric Regression	10
MATH10015	Simulation	10
MATH10064	Multivariate Data Analysis	10
MATH10060	Numerical Ordinary Differential Equations and Applications	10
MATH10077	Algebraic Topology	10
MATH10072	Combinatorics and Graph Theory	10
MATH10080	Galois Theory	10
MATH11138	Geometry of General Relativity	10
MATH10073	Linear Programming, Modelling and Solution	10
MATH10070	Statistical Communication Skills	10
MATH10085	Stochastic Differential Equations	10
MATH10088	Differentiable Manifolds	10
MATH10044	Numerical Partial Differential Equations	10
MATH10091	Symmetry and Geometry	10
MATH10089	Elliptic Partial Differential Equations	10
MATH11145	Interactions in Algebra, Geometry, and Topology	10
MATH11141	Multi-scale Methods in Mathematical Modelling	10
MATH11120	Algebraic Geometry	10
MATH11181	Mathematics in Action B	10

Notes:SEMESTER 2 courses - please confirm delivery period using the course links

AND

Select a minimum of 0 credits and maximum of 60 credits from the following list of courses, as available

Code	Course Name	Credits
MATH11111	Fundamentals of Optimization	10
MATH11158	Optimization Methods in Finance	10
MATH11147	Large Scale Optimization for Data Science	10
MATH11031	Nonlinear Optimization	10
MATH11177	Bayesian Theory	10
MATH11175	Bayesian Data Analysis	10
MATH11152	Object-Oriented Programming with Applications	10
MATH11088	Finance, Risk and Uncertainty	10
MATH11132	Financial Risk Theory	10
MATH11029	Stochastic Modelling	10

AND

Select a minimum of 0 credits and maximum of 20 credits from the following list of courses, as available

Code	Course Name	Credits
INFR11111	Computer Algebra	10
PHIL10133	Logic, Computability and Incompleteness	20
SSPS10024	Multi-Level Modelling in Social Science	20
PGSP11424	Multi-Level Modelling in Social Science	20
BUST10134	Mathematical Programming in Advanced Analytics	20
BUST10133	Decision Analytics	20

Notes:Students may take only one 'Multi-Level Modelling in Social Science' course during their degree programme, ie. *either* SSPS10024 (Level 10) *or* PGSP11424 (Level 11).

AND

Select a minimum of 0 credits and maximum of 20 credits from Level 10 and 11 courses in Schedules A to Q, T and W, as available

THE UNIVERSITY of EDINBURGH

DEGREE REGULATIONS & PROGRAMMES OF STUDY 2016/2017

Degree Programme Table: Mathematics (MMath Hons) (UTMMATHEMA1F)

Year 1, Academic year 2016/17, Starting month: September

Year 2, Academic year 2016/17, Starting month: August

Year 3, Academic year 2016/17, Starting month: August

Year 4, Academic year 2016/17, Starting month: August

Year 5, Academic year 2016/17, Starting month: August

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