G103 Mathematics (MMath) Year 4

Loading/Requirements

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

• In the fourth year, you must take
  • either MA4K8 Maths-in-Action Project or MA4K9 Research Project (worth 30 CATS)

  • at least 60 CATS from Year 3 List A and List C combined.

• 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 award carefully. In particular, note the following.

• Student must pass at least 90 CATS of modules at FHEQ Level 7 (UG Level 4) over the duration of their programme, not just in year 4
• For all FHEQ Level 7 modules, the pass mark is 50%.

The recommendation is that you should take mostly List C and UG Level 4 modules in your fourth year.

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

Core Modules

There are two optional core modules, of which you take one.

Code	Name	CATS	Term
MA4K8	Maths-in-Action Project	30	Terms 1 & 2
MA4K9	Research (R) Project	30	Terms 1 & 2

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.

List A modules

This is the same as Year 3 List A, but as a fourth-year student, you cannot take:

• MA395 Third-Year Essay
• any of the 10 CAT MA3 modules (those which have MA2 equivalents)
• any MA2 or MA1 modules.

List B modules

This is the same as Year 3 List B, but as a fourth-year student, you cannot take:

• Any module at FHEQ Level 5 (i.e. UG Level 2)
• EP304 Introduction to Secondary Mathematics Teaching.

List C modules

Department	Term	Code	Name	CATS
Maths	Term 1	MA424	Dynamical Systems	15
	Term 1	MA426	Elliptic Curves	15
	Term 1	MA433	Fourier Analysis	15
	Term 1	MA473	Reflection Groups	15
	Term 1	MA482	Stochastic Analysis	15
	Term 1	MA4A2	Advanced PDEs	15
	Term 1	MA4C0	Differential Geometry	15
	Term 1	MA4E0	Lie Groups	15
	Term 1	MA4H0	Applied Dynamical Systems	15
	Term 1	MA4H4	Geometric Group Theory	15
	Term 1	MA4J3	Graph Theory	15
	Term 1	MA4L0	Advanced Topics in Fluids	15
	Term 1	MA4L2	Statistical Mechanics	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
	Term 2	MA427	Ergodic Theory	15
	Term 2	MA442	Group Theory	15
	Term 2	MA453	Lie Algebras	15
	Term 2	MA4A5	Algebraic Geometry	15
	Term 2	MA4E7	Population Dynamics: Ecology and Epidemiology	15
	Term 2	MA4J0	Advanced Real Analysis	15
	Term 2	MA4J1	Continuum Mechanics	15
	Term 2	MA4J7	Cohomology and Poincaré Duality	15
	Term 2	MA4J8	Commutative Algebra II	15
	Term 2	MA4L5	Mathematics of Cancer	15
	Term 2	MA4L6	Analytic Number Theory	15
	Term 2	MA4L7	Algebraic Curves	15
	Term 2	MA4M1	Epidemiology by Example	15
	Term 2	MA4M6	Category Theory	15
	Term 2	MA4M8	Theory of Random Graphs	15
	Term 2	MA4M9	Mathematics of Neuronal Network	15
	Term 2	MA4N6	Finite-Elements for PDEs	15
Computer Science	Term 2	CS419	Quantum Computing	15
	Term 2	CS429	Data Mining	15
Statistics	Term 1	ST401	Stochastic Methods in Finance	15
	Term 1	ST403	Brownian Motion	15
	Term 1	ST406	Applied Stochastic Processes with Advanced Topics	15
	Term 1	ST407	Monte Carlo Methods	15
	Term 1	ST411	Dynamic Stochastic Control	15
	Term 1	ST412	Multivariate Statistics with Advanced Topics	15
	Term 1	ST413	Bayesian Statistics and Decision Theory with Advanced Topics	15
	Term 2	ST405	Bayesian Forecasting and Intervention with Advanced Topics	15
	Term 2	ST409	Medical Statistics with Advanced Topics	15
	Term 2	ST410	Designed Experiments with Advanced Topics	15
	Term 2	ST418	Statistical Genetics with Advanced Topics	15
	Term 2	ST419	Advanced Topics in Data Science	15
	Term 2	ST420	Statistical Learning and Big Data	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 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 Awards

Fourth-Year Learning Outcomes

After completing the fourth year of the MMath degree the students will have

• covered advanced mathematics in greater depth and breadth, and be in a position to decide whether they wish to undertake research in mathematics, and to ascertain whether they have the ability to do so
• 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
  • investigative and analytical skills,
  • the ability to formulate and solve concrete and abstract problems in a precise way,
  • 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

To be awarded an MMath degree, you must

1. have taken modules in accordance with the description under the heading Loading/Requirements at the top of this page.
   In particular, note that
   - for students whose programme of study began in 2021/22, 105 CATS of FHEQ Level 7 modules must have been taken over the duration of their programme
   - for students whose programme of study began in 2022/23 or later, 120 CATS of FHEQ Level 7 modules must have been taken over the duration of their programme
2. have an end-of-year average of at least 40%
3. have an overall mark, using the year weightings describe in Maths Degree Programmes, of at least 40%
4. pass at least 90 CATS of modules at FHEQ Level 7 (UG Level 4) over the duration of their programme, not just in year 4.

Final-year examination boards - possible outcomes

The possible decisions from the Final-Year Examination Board for year 4 G103 students taking modules for the first time are

• award of an MMath degree where the Requirements for Award of Degree above are met
• take required resits in September, so that if they are passed the Requirements for the Award of an MMath degree would be met.

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

• award of an MMath 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 Further First Attempt (FFA) for that module, e.g. due to mitigation or deferral of exams
• awarded a BSc Honours if they have met the requirements to do so, or 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 award is as follows, but see MMath Regulations for the university regulations that will be applied

• an overall mark (using the weightings for the degree programme) of over 40% and must pass in the final three years contributing to the degree classification, whole modules equating to at least 258 CATS in total, including at least 90 credits taken in the final year.