G103 Mathematics (MMath) Year 3

Loading/Requirements

The normal (minimum) load is 120 CATS. The maximum load is 150 CATS.

• In the third year, you must take at least 90 CATS from List A or List C, including at least 75 CATS of modules worth 15 CATS with codes beginning MA3, MA4 or ST318.
  Note that you must pass 90 CATS of modules at FHEQ Level 6 of above (UG Level 3 or above) to progress to 4th year.

• In the third and fourth years combined, you must take
  • at least 75 CATS from List C, including at least 60 CATS of modules with code MA4XX or ST403
  • (for those who began their programme of study in 22/23 or later) a total of at least 120 CATS of modules at FHEQ Level 7 (UG Level 4), although these do not all have to come from List C.

Please also read the requirements for progression carefully.

Here is a visual summary of the third year of the MMath.

Core Modules

There are no core modules for year 3 of G103.

Optional Modules

Your selection of optional modules is extremely important. You must ensure that

• you meet the regulations for your degree programme
• you follow any special procedures for registering for certain modules, including for Unusual Options
• you take modules which may be prerequisites for other modules you wish to take later on in your degree programme.

Year 3 List A modules

(This list is the same for both G100 and G103.)

Department	Term	Code	Module	CATS	Notes
Maths	Term 1	MA341	Combinatorics	10	Not available if you took MA241 previously. Not available to Year 4 G103.
	Term 1	MA343	Geometry	10	Not available if you took MA243 previously. Not available to Year 4 G103.
	Term 1	MA356	Introduction to Mathematical Biology	10	Not available if you took MA256 previously. Not available to Year 4 G103.
	Term 1	MA357	Introduction to Number Theory	10	Not available if you took MA257 previously. Not available to Year 4 G103.
	Term 1	MA359	Measure Theory	15
	Term 1	MA390	Topics in Mathematical Biology	15
	Term 1	MA397	Consolidation	7.5	By invitation only. Taken as an Unusual Option.
	Term 1	MA398	Matrix Analysis and Algorithms	15
	Term 1	MA3B8	Complex Analysis	15
	Term 1	MA3D5	Galois Theory	15
	Term 1	MA3F1	Introduction to Topology	15
	Term 1	MA3G6	Commutative Algebra	15
	Term 1	MA3G7	Functional Analysis I	15
	Term 1	MA3H3	Set Theory	15
	Term 1	MA3H5	Manifolds	15
	Term 1	MA3J4	Mathematical Modelling and PDEs	15
	Term 1	MA3J8	Approximation Theory and Applications	15
	Term 1	MA3K0	Probability in Many Variables	15	Previously called "High-Dimensional Probability"
	Term 1	MA3K4	Introduction to Group Theory	15
	Term 1	MA3K6	Boolean Functions	15
	Term 1	MA3K9	Mathematics of Digital Signal Processing	15
	Term 1	MA3L2	Optimisation	15
	Term 1	MA3L3	Communicating Mathematics	15	Pregistration required
	Terms 1 & 2	MA395	Essay	15	Not available to Year 4 G103.
	Term 2	MA2K4	Numerical Methods and Computing	10	Not available to Year 4 G103. Warning: This does not count towards the 90 CATS at FHEQ Level 6 required for Degree Award.
	Term 2	MA300	Mathematics of Cryptography	15	NEW
	Term 2	MA301	Waves and Metamaterials	15	NEW
	Term 2	MA302	Electromagnetism	15	NEW
	Term 2	MA352	Combinatorial Optimization	10	Not available if you took MA252 previously. Not available to Year 4 G103.
	Term 2	MA354	Theory of ODEs	10	Not available if you took MA254 previously. Not available to Year 4 G103.
	Term 2	MA369	Asymptotics and Integral Transforms	10	Not available if you took MA269 previously. Not available to Year 4 G103.
	Term 2	MA377	Rings and Modules	15
	Term 2	MA3A6	Algebraic Number Theory	15
	Term 2	MA3D1	Fluid Dynamics	15
	Term 2	MA3D4	Fractal Geometry	15
	Term 2	MA3D9	Geometry of Curves and Surfaces	15
	Term 2	MA3E1	Groups and Representations	15
	Term 2	MA3G1	Theory of PDEs	15
	Term 2	MA3G8	Functional Analysis II	15
	Term 2	MA3H0	Numerical Analysis and PDEs	15
	Term 2	MA3H2	Markov Processes and Percolation Theory	15
	Term 2	MA3H6	Algebraic Topology	15
	Term 2	MA3H7	Control Theory	15
	Term 2	MA3J2	Combinatorics II	15
	Term 2	MA3J3	Bifurcations, Catastrophes and Symmetry	15
	Term 2	MA3K1	Mathematics of Machine Learning	15
	Term 2	MA3K7	Problem Solving with Python	15	Pregistration required
	Term 2	MA3P2	Knot Theory	15
Statistics	Term 1	ST339	Introduction to Mathematical Finance	15
	Term 2	ST318	Probability Theory	15
Computer Science	Term 1	CS301	Complexity of Algorithms	15
		CS409	Algorithmic Game Theory	15
Physics	Term 1	PX390	Scientific computing	15
	Term 1	PX3A7	Statistical Physics	15
	Term 1	PX436	General Relativity	15
	Term 1	PX453	Advanced Quantum Theory	15
	Term 1	PX457	High Performance Computing	15

Year 3 List B modules

(This list is the same for G100 and G103.)

Department	Term	Code	Module	CATS	Notes
Statistics	Term 1	ST233	Introduction to Mathematical Statistics	15	Cannot have taken ST232. Not available to 4th year G103. Warning: This does not count towards the 90 CATS at FHEQ Level 6 required for Degree Award.
	Term 1	ST234	Games and Decisions	10	Not available to 4th year G103. Warning: This does not count towards the 90 CATS at FHEQ Level 6 required for Degree Award.
	Term 1	ST235	Finance and Financial Reporting	15	Linked toactuarial exemptions. Not available to 4th year G103. Warning: This does not count towards the 90 CATS at FHEQ Level 6 required for Degree Award.
	Term 1	ST301	Bayesian Statistics and Decision Theory	15
	Term 1	ST323	Multivariate Statistics	15
	Term 1	ST333	Applied Stochastic Processes	15
	Term 1	ST346	Generalized Linear Models for Regression and Classification	15
	Term 1	ST350	Measure Theory for Probability	15	Cannot take or have taken MA359 Measure Theory
	Term 2	ST240	Linear Statistical Modelling	15	Not available to 4th year G103. Warning: This does not count towards the 90 CATS at FHEQ Level 6 required for Degree Award.
	Term 2	ST305	Designed Experiments	15
	Term 2	ST332	Medical Statistics	15
	Term 2	ST337	Bayesian Forecasting and Intervention	15
	Term 2	ST338	Actuarial Models	15	Linked toactuarial exemptions
	Term 2	ST340	Programming for Data Science	15
	Term 2	ST341	Statistical Genetics	15
	Term 2	ST343	Topics in Data Science	15
	Term 2	ST348	Risk Theory	15	Linked toactuarial exemptions
	Term 2	ST349	Machine Learning Frameworks	15	Pre-registration required (see module page)
	Terms 1&2	ST347	Actuarial Methods and Life Contingencies	30	Linked toactuarial exemptions
Computer Science	Term 1	CS324	Computer Graphics	15
	Term 1	CS325	Compiler Design	15
	Term 1	CS349	Principles of Programming Languages	15
	Term 2	CS356	Approximation and Randomised Algorithms	15
Economics	Term 1	EC220	Mathematical Economics 1A	15	Not available to 4th year G103. Warning: These modules do not count towards the 90 CATS at FHEQ Level 6 required for Degree Award.
	Term 2	EC221	Mathematical Economics 1B	15
Physics	Term 1	PX399	The Earth and its Atmosphere	15
	Term 1	PX3A6	Galaxies and Cosmology	15
	Term 2	PX3A4	Plasma Physics and Fusion	15
	Term 2	PX3A9	Black Holes, White Dwarfs and Neutron Stars	15
	Term 2	PX443	Planets, Exoplanets and Life	15
WBS	Term 1	IB253	Principles of Finance I	15	Cannot be taken with ST339 Intro to Mathematical Finance. Not available to 4th year G103. Warning: This does not count towards the 90 CATS at FHEQ Level 6 required for Degree Award.
	Term 1	IB313	Business Studies I	15
	Term 2	IB254	Principles of Finance II	15	Not available to 4th year G103. Warning: This does not count towards the 90 CATS at FHEQ Level 6required for Degree Award.
	Term 2	IB320	Simulation	15
Philosophy	Term 1	PH210	Logic II: Metatheory	15	Not available to 4th year G103. Warning: This does not count towards the 90 CATS at FHEQ Level 6required for Degree Award
	Term 1	PH340	Logic III: Incompleteness and Undecidability	15
	Term 2	PH342	Philosophy of Maths	15
Education	Term 2	EP304	Introduction to Secondary Maths Teaching	15 or 30	Not available to 4th year G103.

List C modules

See List C on the fourth-year specifications.

You should check the Modules from Other Departments page for information about any special procedures that must be followed to register for a module and for further advice.

Any modules not listed as List A, B or C are considered Unusual Options. Permission to take these modules must usually be obtained with a completed Unusual Option form.

More about Unusual Options, including restrictions and deadlines, can be found in the Unusual Options section of the Handbook.

Outcomes and Progression

Third-Year Learning Outcomes

After completing the third year of G103 students will have

• covered advanced material in mathematics, and studied some of it in depth
• achieved a level of mathematical maturity which has progressed from the skills expected in school mathematics to the understanding of abstract ideas and their applications
• developed
  1. investigative and analytical skills,
  2. the ability to formulate and solve concrete and abstract problems in a precise way, and
  3. the ability to present precise logical arguments
• been given the opportunity to develop other interests by taking options outside the Mathematics Department in all the years of their degree course.

Requirements for Progression

To progress from year 3 of G103 to year 4 of G103, you must

1. pass 90 CATS of modules at FHEQ level 6 or above (i.e. UG Level 3 or above)

2. have a year average mark of at least 55%, and an average of at least 55% in the best 90 CATS of modules from the union of List A and List C.

If you do not meet the above requirements and you have no possibility of meeting them via any resits, you will be considered for the award of BSc Mathematics. See the G100 Year 3 Regulations page.

Third-Year Examination Boards - possible outcomes

The possible decisions from the summer Third-Year Examination Board for students taking modules for the first time are

• proceed to year 4 of G103, if the Requirements for Progression above are met
• graduate with BSc Honours if criterion 1 in the Requirements for Progression above is met and the overall mark for the three years of study (using the G100 yearly weightings) is at least 40%
• take required resits in September, so that if they are passed the requirements to be awarded either BSc Honours or a Pass degree will be met.

The possible outcomes for the September (Resit) Examination Board, where resit marks are considered alongside original marks are

• proceed to year 4 of G103
• graduate with a BSc Honours degree if criterion 1 in the Requirements for Progression above is met and the overall mark for the three years of study (using the G100 yearly weightings) is at least 40%
• graduate with a Pass degree if 60 CATS of modules at FHEQ Level 6 or above are passed and the overall mean for the three years of study (using the G100 weightings) is at least 35%
• required resits at the next available opportunity. This would only be the case for a module if a student's most recent attempt was considered to be a Further First Attempt (FFA) for that module, e.g. due to mitigation or deferral of exams
• required to withdraw, in which case the student will be offered an Exit Award if possible.

Students who commenced their programme of study before (and including) academic year 2020/21

For students whose G103 Programme began in academic year 2020/21, the main requirements for progression from year 3 to year 4 are as follows, but see University Integrated Masters Regs for the university regulations that will be applied:

1. pass 60 CATS of modules

2. have an overall mean for the year of at least 40%

3. have a year average mark of no less than 55% or an average of at least 55% in the best 90 CATS of modules from the union of List A and List C.