Loading/Requirements

The minimum and normal load is 120 CATS.

The maximum load is 150 CATS.

Candidates for Honours are required to take:

• Modules totalling at least 55 CATS credits from G100 Year 3 Option List A, including at least 45 CATS of modules worth 15 CATS with codes beginning MA3 or ST318.
• an appropriate number of modules selected from G100 Year 3 Option List B, such that the total number of credits from List B and Unusual Options combined shall not exceed 65 CATS.
• at the very least 90 CATS of modules at FHEQ level 6 or above (i.e. generally with codes xx3xx or xx4xx). It is a university requirement for the award of a BSc that 90 CATS of such modules must be passed and so we advise that you take additional modules at FHEQ level 6 or above so that you can afford to fail one or two of these modules and still meet this requirement.

Third year G100 students who would have met the requirements to be on the third year of G103, the MMath, (and only these) can take up to two modules with title of form MA4XX modules as Unusual Options. These modules are included in the final table on this page.

Note that the restriction of 65 CATS in the second bullet point above would not include any modules of this type (even though they would be taken as Unusual Options).

MA397 Consolidation

Certain students who scored a low maths average at the end of the second year will not be permitted to take more than a minimum number of CATS greater than or equal to 120 (unless at the discretion of the Director of Undergraduate Studies), but will also offered the opportunity to take MA397 Consolidation to improve their chances of securing an honours degree at the end of the 3rd year. This is a decision of the Second Year Exam Board. Taking MA397 is by invite only and then must be taken as an Unusual Options, following the processes required for that.

Transferring to G103

If, as a third year G100 student who met the second year requirements to proceed to year 3 of G103, you are considering a course transfer to G103 MMath then, at the end of year 3, you must satisfy the Year 3 G103 Course requirements to progress to year 4 of G103, and you should also consider your modules choice over years 3 and 4 so that you can meet the requirements in year 4 of G103 too, see the G103 Year 3 Regulations page and the G103 Year 4 Regulations page for more details.

Core Modules

There are no Core Modules (or indeed Required Core Modules) for year 3 of G100.

Optional Modules

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

• you meet the regulations for your degree programme
• you follow any special procedures for registering for certain modules, including for Unusual Options.

• if, as a third year G100 student who met the G103 Year 2 Requirement to proceed to year 3 of G103, you are considering a course transfer to G103, you must

  • satisfy the Year 3 G103 Course requirements to progress to year 4 of G103, and you should also consider your modules choice over years 3 and 4 so that you can meet the requirements in year 4 of G103 too, see the G103 Year 3 Regulations page and the G103 Year 4 Regulations page for more details.

  • make sure you take modules which may be prerequisites for other modules you wish to take in your 4th year.

The tables below show the modules in G100 List A, G100 List B and those which can be taken as Unusual Options only by those G100 Year 3 student who met the requirement to progress to G103 Year 3 during their second year.

G100 Year 3 Option List A

G100 Y3 List A	Term	Code	Module	CATS	Notes
MA2 and MA3 Maths Modules	Term 1	MA341	Combinatorics	10	Not available if you took MA241 previously
	Term 1	MA343	Geometry	10	Not available if you took MA243 previously
	Term 1	MA350	Introduction to Partial Differential Equations	10	Not available if you took MA250 previously
	Term 1	MA356	Introduction to Mathematical Biology	10	Not available if you took MA256 previously
	Term 1	MA359	Measure Theory	15
	Term 1	MA390	Topics in Mathematical Biology	15
	Term 1	MA398	Matrix Analysis and Algorithms	15
	Term 1	MA3A6	Algebraic Number Theory	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	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	Numbers are capped for MA3L3 and there is a special registration procedure
	Terms 1 & 2	MA372	Reading Module	15
		MA395	Essay	15
	Term 2	MA263	Multivariable Analysis	10	MA263 and MA266 are available to year 3 G100 students who did not take them during year 2.
	Term 2	MA266	Multilinear Algebra	10
	Term 2	MA2K4	Numerical Methods and Computing	10	Note that third year students who have taken MA261 Different Equations: Modelling and Numerics previously cannot register for this module.
	Term 2	MA352	Combinatorial Optimization	10	Not available if you took MA252 previously
	Term 2	MA354	Theory of ODEs	10	Not available if you took MA354 previously
	Term 2	MA357	Introduction to Number Theory	10	Not available if you took MA257 previously
	Term 2	MA369	Asymptotics and Integral Transforms	10	Not available if you took MA269 previously
	Term 2	MA377	Rings and Modules	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	MA3K0	High-Dimensional Probability	15
	Term 2	MA3K1	Mathematics of Machine Learning	15
	Term 2	MA3K7	Problem Solving with Python	15	Numbers are capped for MA3K7, with 3rd year G100 students given priority, and there is a special registration procedure, also see MA3K7 modules page for details.
	Term 2	MA3K8	Variational Principles, Symmetry and Conservation Laws	15
	Term 2	MA3L1	Topics in Set Theory	15
Statistics Modules, further advice	Term 1	ST339	Introduction to Mathematical Finance	15	Cannot be taken with IB253
	Term 2	ST318	Probability Theory	15
Computer Science Modules, further advice	Term 1	CS301	Complexity of Algorithms	15
		CS409	Algorithmic Game Theory	15
Physics Modules, further advice	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

G100 Year 3 Option List B

G100 Y3 List B	Term	Code	Module	CATS	Notes
Statistics Modules, further advice	Term 1	ST233	Introduction to Mathematical Statistics	15	This is the code for finalists taking ST232
	Term 1	ST234	Games and Decisions	10
	Term 1	ST301	Bayesian Statistics and Decision Theory	15
	Term 1	ST323	Multivariate Statistics	15
	Term 1	ST333	Applied Stochastic Processes	15
	Term 1	ST407	Monte Carlo Methods	15
	Term 2	ST305	Designed Experiments	15
	Term 2	ST332	Medical Statistics	15
	Term 2	ST337	Bayesian Forecasting and Intervention	15
	Term 2	ST343	Topics in Data Science	15
Computer Science Modules, further advice	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 Modules, further advice	Term 1	EC220	Mathematical Economics 1A	15	To do these modules you must have previously taken either EC106 or EC107
	Term 2	EC221	Mathematical Economics 1B	15
Physics Modules, further advice	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 Modules, special registration procedures apply, further advice	Term 1	IB253	Principles of Finance I	15	Cannot be taken with ST339
	Term 1	IB313	Business Studies I	15
	Term 2	IB254	Principles of Finance II	15
	Term 2	IB320	Simulation	15
Philosophy Modules, special registration procedures apply, further advice	Term 1	PH210	Logic II: Metatheory	15
	Term 1	PH340	Logic III: Incompleteness and Undecidability	15
	Term 2	PH342	Philosophy of Maths	15
Centre for Teaching Education Modules, further advice	Term 2	EP304	Introduction to Secondary Maths Teaching	15	The 15 CAT module does not involve a school placement.
	Term 2	EP304	Introduction to Secondary Maths Education	30	The 30 CAT modules involves either a school placement or creating learning resources for secondary age students.

MA4 Modules that can be taken as Unusual Options by some G100 Year 3 Students

These modules, which are available to G103 students, can be taken as Unusual Options by those G100 Year 3 students who would have met the requirements to progress from G103 Year 2 to G103 Year 3.

Note: An asterix (*) next to the module name below denotes those modules particularly suitable for 3rd year MMath students to consider taking.

	Term	Code	Module	CATS
MA4 Maths Modules	Term 1	MA424	Dynamical Systems*	15
	Term 1	MA433	Fourier Analysis*	15
	Term 1	MA448	Hyperbolic Geometry	15
	Term 1	MA453	Lie Algebras*	15
	Term 1	MA473	Reflection Groups*	15
	Term 1	MA4A2	Advanced PDEs	15
	Term 1	MA4A5	Algebraic Geometry	15
	Term 1	MA4C0	Differential Geometry	15
	Term 1	MA4J3	Graph Theory*	15
	Term 1	MA4J5	Structures of Complex Systems	15
	Term 1	MA4J7	Cohomology and Poincare Duality	15
	Term 1	MA4L0	Advanced Topics in Fluids	15
	Term 1	MA4L2	Statistical Methods	15
	Term 1	MA4L6	Analytic Number Theory	15
	Term 1	MA4M2	Mathematics of inverse problems*	15
	Term 1	MA4N1	Theorem Proving with Lean	15
	Term 1	MA4N4	Transport Processes in Mathematical Biology	15
	Terms 1 & 2	MA472	Reading Course	15
	Term 2	MA426	Elliptic Curves*	15
	Term 2	MA427	Ergodic Theory*	15
	Term 2	MA442	Group Theory*	15
	Term 2	MA482	Stochastic Analysis	15
	Term 2	MA4A7	Quantum Mechanics: Basic Principles & Probabilistic Methods	15
	Term 2	MA4E0	Lie Groups*	15
	Term 2	MA4E7	Population Dynamics: Ecology & Epidemiology*	15
	Term 2	MA4H0	Applied Dynamical Systems	15
	Term 2	MA4H4	Geometric Group Theory*	15
	Term 2	MA4J0	Advanced Real Analysis	15
	Term 2	MA4J1	Continuum Mechanics*	15
	Term 2	MA4J8	Commutative Algebra II	15
	Term 2	MA4L7	Algebraic Curves	15
	Term 2	MA4M1	Epidemiology by Example	15
	Term 2	MA4M6	Category Theory*	15
	Term 2	MA4N3	Hyperbolic Dynamics	15
	Term 2	MA4N5	Symmetric Functions and Integrable Probability	15
	Term 2	MA4N6	Finite-Elements for PDEs	15

You should check the Module 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 above as G100 Year 3 Option List A or G100 Year 3 Option List B are classed as Unusual Options and permission to take these modules must be obtained with a completed Unusual Option form submitted to the support office by the specified deadline.

It is not permitted to take more than 30 CATS of Unusual Options from any given department in any given year.

Unusual Options count towards your load but they do not count, under any circumstances, towards CATS requirements described in the course regulations where these regulations refer to Core Modules, Optional Core Modules, or letter Lists (e.g. List A, List B etc).

Further information about Unusual Options, including restrictions and deadlines can be found in the Unusual Options section of the handbook.

Note that there is information about Language Centre Modules, Engineering Department Modules, Institute for Advanced Teaching and Learning (IATL) Modules and Global Sustainable Development (GSD) Modules on the Modules from Other Departments page.

Outcomes and Awards

Third Year Learning Outcomes

After completing the third year of G100 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 Award of Degree

In order to be awarded a BSc Honours degree third year G100 students must

1. have taken modules in accordance with the description under the heading Loading/Requirements at the top of this page
2. have an year average mark of 40% or above.
3. have an overall mark (using the year weightings for the degree programme) of 40 percent or above
4. pass at least 90 CATS of whole modules at FHEQ level 6 or above (i.e. generally with code xx3xx or xx4xx).

If the requirements above are not satisfied then a third year G100 student will be awarded a Pass degree if they

1. have taken modules in accordance with the description under the heading Loading/Requirements at the top of this page.
2. have an overall mark (using the year weightings for the degree programme) of 35 percent or above
3. pass at least 60 CATS of whole modules with FHEQ level 6 or above (i.e. generally with code xx3xx or xx4xx).

Final year examination boards - possible outcomes

The possible decisions from the Final Year Examination Board for students taking modules for the first time are

• award of a BSc Honours degree where the corresponding requirements above are met
• else award of a pass degree where the requirements for the award of a BSc Honours degree are not met but the requirement for award of a pass degree are.
• else take required resits in September, these will be chosen by the Exam Board so that if they are passed the requirements for an award could be met.

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

• award of a BSc Honours degree or else a pass degree if the requirements above are now met
• 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 first attempt for that module (due to mitigation or deferral of exams for example), or if there is specific suitable mitigation which applies to one or more of the resits taken
• else, the student will be offered an Exit Award if possible.

Note that it is quite common for students to be out of phase with this sequence due to deferring their exams, temporary withdrawal, mitigation allowing resits to be taken as Further First Attempts (which would allow for a further capped resit) and so on. In these cases students are considered at the next available Final Year Examination Board.

Note also that all students whose degree programme started in 21/22 or later have the Right to Remedy Failure in the next available exams following first attempts at modules in which they score less than the pass mark. Students choosing to take these cannot graduate until after they are taken and their results have been considered as above by the boards.

Note that sometimes it is possible for students who are awarded a pass degree to improve to a BSc Honours by taking these optional resits, students should look carefully at this in relation to the requirements above ask for advice from their tutor or the department as necessary.

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

For students whose G100 Programme began in academic year 2020/21 are the main requirements for award are as follows, but see BSc Regulations for the full rules that will be applied

• for an Honours degree a candidate must have an overall mark (using the weightings for the degree programme) of over 40% and must pass in the final two years contributing to the degree classification, whole modules equating to at least 168 CATS in total, including at least 80 CATS taken in the final year.
• if the above is not satisfied, for a Pass degree, a candidate must have an overall mark (using the weightings for the degree programme) of over 35% and must pass in the final two years contributing to the degree classification, whole modules equating to at least 150 CATS in total, including at least 50 CATS taken in the final year.