MMATH Mathematics (MASU02) FT

2017 - 2018

Year 1

Core These are a compulsory part of your degree: you cannot change them. units (100 credits)

A student will take

Semester 1
MAS110 P⇒Is a pre-requisite for: MAS111 MAS202 MAS220 MAS223 MAS271 MAS279 MAS377 (when the module is running) CCo-requisites: MAS112 MAS115 PHY165 XCannot be taken with: ECN118 ECN119	Mathematics Core 1	AUT SEM	20 credits
Semester 2
MAS111 ⇐P⇒Pre-requisites: MAS110 Is a pre-requisite for: MAS201 MAS202 MAS207 MAS220 MAS221 MAS223 MAS271 MAS377 (when the module is running) CCo-requisites: MAS112 MAS115 PHY165	Mathematics Core II	SPR SEM	20 credits
Full academic year
MAS112 P⇒Is a pre-requisite for: MAS203 MAS280 MAS315 MAS412 MAS412 MAS413 MAS6450 (when the module is running) CCo-requisites: MAS110 MAS111 + A level mathematics. MAS110 and MAS111.	Vectors and Mechanics	ACAD YR	20 credits
MAS113 P⇒Is a pre-requisite for: MAS205 MAS223 MAS275 MAS281 MAS286 MAS350 MAS451 MAS452 PHY420 (when the module is running) XCannot be taken with: ECN120 + A level mathematics.	Introduction to Probability and Statistics	ACAD YR	20 credits
MAS114 P⇒Is a pre-requisite for: MAS207 MAS208 MAS220 MAS276 MAS277 MAS430 PHY420 (when the module is running) + A level mathematics.	Numbers and Groups	ACAD YR	20 credits

1B.

A student will take 20 credits from B1, B2 or B3.

Approved These are on a restricted list of modules offered by your department(s). Normally you will need to select a minimum number of credits from the list. units (20 credits)

1B1

A student will take 20 credits from this group.

Full academic year
MAS115 P⇒Is a pre-requisite for: MAS212 (when the module is running) CCo-requisites: MAS110 MAS111	Mathematical Investigation Skills	ACAD YR	20 credits

Approved These are on a restricted list of modules offered by your department(s). Normally you will need to select a minimum number of credits from the list. units (20 credits)

1B2

A student will take 20 credits from this group.

Semester 2
IPP102 + At least one Science A-Level.	Integrated Science	SPR SEM	10 credits

Unrestricted units to the value of 10 credits

Unrestricted Some degrees allow students to take unrestricted modules. These modules may be offered by your home department(s) but are often offered by other departments. You will need to choose unrestricted module(s) during Intro Week. Please check your Registration Timetable for details of your module enrolment event. units (20 credits)

1B3

A student will take unrestricted units to the value of 20 credits.

Year 2

Core These are a compulsory part of your degree: you cannot change them. units (20 credits)

A student will take

Semester 1
MAS211 P⇒Is a pre-requisite for: MAS275 MAS280 MAS301 MAS336 MAS342 MAS346 MAS420 MAS423 MAS445 (when the module is running) CCo-requisites: MAS212 MAS220 MAS221 MAS223 MAS279 MAS286	Advanced Calculus and Linear Algebra	AUT SEM	20 credits

Approved These are on a restricted list of modules offered by your department(s). Normally you will need to select a minimum number of credits from the list. units (60 credits)

A student will take a minimum of 60 and a maximum of 80 credits from this group.

Full academic year
MAS220 ⇐P⇒Pre-requisites: MAS110 MAS111 MAS114 Is a pre-requisite for: MAS333 MAS346 MAS435 MAS436 MAS438 MAS439 (when the module is running) CCo-requisites: MAS211	Algebra	ACAD YR	20 credits
MAS221 ⇐P⇒Pre-requisites: MAS111 Is a pre-requisite for: MAS350 MAS451 MAS452 (when the module is running) CCo-requisites: MAS211	Analysis	ACAD YR	20 credits
MAS222 P⇒Is a pre-requisite for: MAS320 MAS323 MAS377 MAS414 MAS424 (when the module is running) CCo-requisites: MAS212	Differential Equations	ACAD YR	20 credits
MAS223 ⇐P⇒Pre-requisites: MAS110 MAS111 MAS113 Is a pre-requisite for: MAS360 MAS363 MAS367 MAS367 MAS371 MAS452 MAS462 MAS463 MAS464 MAS465 MAS6019 MAS61001 MAS61003 (when the module is running) CCo-requisites: MAS211 MAS281	Statistical Inference and Modelling	ACAD YR	20 credits

AND

Approved These are on a restricted list of modules offered by your department(s). Normally you will need to select a minimum number of credits from the list. units

A student will take up to 20 credits from this group.

Semester 2
MAS275 ⇐P⇒Pre-requisites: MAS113 MAS211 Is a pre-requisite for: MAS371 MAS452 (when the module is running)	Probability Modelling	SPR SEM	10 credits
MAS280 ⇐P⇒Pre-requisites: MAS112 MAS211 PHY120 PHY165 Is a pre-requisite for: MAS310 MAS320 MAS412 (when the module is running) + permission needed if don't have prerequisites..	Mechanics and Fluids	SPR SEM	10 credits

AND

Approved These are on a restricted list of modules offered by your department(s). Normally you will need to select a minimum number of credits from the list. units

A student will take up to 30 credits from this group.

Semester 1
MAS212 ⇐P⇒Pre-requisites: MAS115 Is a pre-requisite for: MAS414 (when the module is running) CCo-requisites: MAS211 MAS222	Scientific Computing and Simulation	AUT SEM	10 credits
Semester 2
MAS281 ⇐PPre-requisites: MAS113 CCo-requisites: MAS223 + MAS113.	Probability and Statistics in Society	SPR SEM	10 credits
Full academic year
MAS279 ⇐PPre-requisites: MAS110 CCo-requisites: MAS211 XCannot be taken with: CAS201 + CAS201. This module is for MAS students only.	Career Development Skills	ACAD YR	10 credits

a student can take unrestricted units to the value of 20 credits.

Year 3

Approved These are on a restricted list of modules offered by your department(s). Normally you will need to select a minimum number of credits from the list. units (100 credits)

A student will take 100 credits from this group.

Semester 1
MAS301 ⇐PPre-requisites: MAS211 XCannot be taken with: MAS360 MAS406 + MAS201 and MAS202. This unit is only available to Level 3 students on MASU01, MASU02, MASU05, MASU11, and ERASMUS students. It cannot be taken by MASU02 students in their 4th year..	Group Project	AUT SEM	10 credits
MAS310 ⇐PPre-requisites: MAS280	Continuum Mechanics	AUT SEM	10 credits
MAS314 P⇒Is a pre-requisite for: MAS413 MAS61016 (when the module is running)	Introduction to Relativity	AUT SEM	10 credits
MAS315 ⇐PPre-requisites: MAS112	Waves	AUT SEM	10 credits
MAS330 ⇐PPre-requisites: MAS2001 + This unit cannot be taken by any student who has previously taken MAS208..	Topics in Number Theory	AUT SEM	10 credits
MAS331 ⇐P⇒Pre-requisites: MAS2004 Is a pre-requisite for: MAS347 MAS435 MAS435 MAS436 MAS61015 MAS61018 (when the module is running)	Metric Spaces	AUT SEM	10 credits
MAS332 ⇐P⇒Pre-requisites: MAS2001 Is a pre-requisite for: MAS342 MAS430 MAS436 (when the module is running)	Complex Analysis	AUT SEM	10 credits
MAS333 ⇐P⇒Pre-requisites: MAS220 Is a pre-requisite for: MAS442 (when the module is running) XCannot be taken with: MAS438	Fields	AUT SEM	10 credits
MAS334 ⇐PPre-requisites: MAS2001	Combinatorics	AUT SEM	10 credits
MAS336 ⇐PPre-requisites: MAS211 + MAS201, MAS202.	Differential Geometry	AUT SEM	10 credits
MAS348 ⇐PPre-requisites: MAS2001 MAS2004	Game Theory	AUT SEM	10 credits
MAS361 ⇐PPre-requisites: MAS2010 XCannot be taken with: MAS61002 + Not with MAS461.	Medical Statistics	AUT SEM	10 credits
MAS362 ⇐PPre-requisites: MAS2001 XCannot be taken with: MAS61017 MAS61017	Financial Mathematics	AUT SEM	10 credits
MAS364 ⇐PPre-requisites: MAS2010 XCannot be taken with: MAS61006	Bayesian Statistics	AUT SEM	10 credits
MAS367 ⇐PPre-requisites: MAS223 + MAS223.	Linear and Generalised Linear Models	AUT SEM	10 credits
MAS377	Mathematical Biology	AUT SEM	10 credits
Semester 2
MAS316 ⇐PPre-requisites: MAS2002 MAS2008 XCannot be taken with: MAS414 + permission needed if don't have prerequisites..	Mathematical modelling of natural systems	SPR SEM	10 credits
MAS320 ⇐PPre-requisites: MAS222 MAS280	Fluid Mechanics I	SPR SEM	10 credits
MAS322 ⇐PPre-requisites: MAS2001	Operations Research	SPR SEM	10 credits
MAS324 P⇒Is a pre-requisite for: MAS415 MAS415 MAS417 MAS61016 (when the module is running)	Quantum Theory	SPR SEM	10 credits
MAS325 ⇐PPre-requisites: MAS2001	Mathematical Methods	SPR SEM	10 credits
MAS341 ⇐PPre-requisites: MAS2001	Graph Theory	SPR SEM	10 credits
MAS342 ⇐PPre-requisites: MAS202 MAS211 MAS332 + MAS202, MAS332 is desirable but not essential.	Applicable Analysis	SPR SEM	10 credits
MAS343	History of Mathematics	SPR SEM	10 credits
MAS344 ⇐PPre-requisites: MAS107	Knots and Surfaces	SPR SEM	10 credits
MAS345 ⇐PPre-requisites: MAS2004	Codes and Cryptography	SPR SEM	10 credits
MAS346 ⇐PPre-requisites: MAS211 MAS220 + MAS201, MAS276.	Groups and Symmetry	SPR SEM	10 credits
MAS350 ⇐PPre-requisites: MAS113 MAS221 XCannot be taken with: MAS451	Measure and Probability	SPR SEM	10 credits
MAS370 ⇐PPre-requisites: MAS2010 XCannot be taken with: MAS61003	Sampling Theory and Design of Experiments	SPR SEM	10 credits
MAS371 ⇐PPre-requisites: MAS223 MAS275	Applied Probability	SPR SEM	10 credits
MAS372 ⇐PPre-requisites: MAS2010 XCannot be taken with: MAS61005	Time Series	SPR SEM	10 credits
Full academic year
MAS360 ⇐PPre-requisites: MAS223 XCannot be taken with: MAS301	Practical and Applied Statistics	ACAD YR	20 credits

3B.

A student will take either 3B1, 3B2, 3B3 or 3B4

AND

Approved These are on a restricted list of modules offered by your department(s). Normally you will need to select a minimum number of credits from the list. units (20 credits)

3B1

A student will take 20 credits from this group.

Full academic year
MAS302	Undergraduate Ambassadors Scheme in Mathematics	ACAD YR	20 credits

3B2

A student will take 20 credits from 3A above.

Unrestricted Some degrees allow students to take unrestricted modules. These modules may be offered by your home department(s) but are often offered by other departments. You will need to choose unrestricted module(s) during Intro Week. Please check your Registration Timetable for details of your module enrolment event. units (20 credits)

3B3

A student will take unrestricted units to the value of 20 credits.

3B4

A student will take 20 credits from 4B below.

Year 4

Core These are a compulsory part of your degree: you cannot change them. units (40 credits)

A student will take

Semester 1
MAS400 P⇒Is a pre-requisite for: MAS402 MAS403 MAS404 MAS405 (when the module is running) CCo-requisites: MAS406 MAS407 + The unit is restricted to students registered on programmes MASU02, MASU10, MASU12, MASU13, MASU14 and visiting students. Cannot be taken simultaneously with MAS301.	Project Presentation in Mathematics and Statistics	AUT SEM	10 credits
Full academic year
MAS406 CCo-requisites: MAS400 XCannot be taken with: MAS301	Mathematics and Statistics Project II	ACAD YR	30 credits

Approved These are on a restricted list of modules offered by your department(s). Normally you will need to select a minimum number of credits from the list. units (80 credits)

A student will take 80 credits from this group.

Semester 1
MAS411	Topics in Advanced Fluid Mechanics	AUT SEM	20 credits
MAS420 ⇐PPre-requisites: MAS211	Signal Processing	AUT SEM	10 credits
MAS430 ⇐PPre-requisites: MAS114 MAS332	Analytic Number Theory	AUT SEM	10 credits
MAS438 ⇐P⇒Pre-requisites: MAS220 Is a pre-requisite for: MAS442 (when the module is running) XCannot be taken with: MAS333	Fields	AUT SEM	10 credits
MAS461 + MAS273 recommended. Not with MAS361.	Medical Statistics	AUT SEM	10 credits
MAS462 ⇐PPre-requisites: MAS223 XCannot be taken with: MAS6053	Financial Mathematics	AUT SEM	10 credits
MAS464 ⇐PPre-requisites: MAS223 + 70 credits of Level 3 statistics modules or equivalent.	Bayesian Statistics	AUT SEM	10 credits
MAS465 ⇐PPre-requisites: MAS205 MAS223 MAS274 + MAS274 recommended.	Multivariate Data Analysis	AUT SEM	10 credits
MAS467 + MAS223.	Linear and Generalised Linear Models	AUT SEM	10 credits
PHY472	Advanced Quantum Mechanics	AUT SEM	10 credits
Semester 2
MAS414 ⇐PPre-requisites: MAS212 MAS222 XCannot be taken with: MAS316 + Permission required if not passed MAS212..	Mathematical modelling of natural systems (Advanced)	SPR SEM	10 credits
MAS422	Magnetohydrodynamics	SPR SEM	10 credits
MAS423 ⇐PPre-requisites: MAS211	Advanced Operations Research	SPR SEM	10 credits
MAS441	Optics and Symplectic Geometry	SPR SEM	10 credits
MAS442 ⇐PPre-requisites: MAS333 MAS438	Galois Theory	SPR SEM	10 credits
MAS451 ⇐PPre-requisites: MAS113 MAS221 XCannot be taken with: MAS350	Measure and Probability	SPR SEM	10 credits
MAS472 + MAS364 or MAS464.	Computational Inference	SPR SEM	10 credits
MAS474 + MAS31001/MAS61001 Linear and Generalised Linear Modelling.	Extended Linear Models	SPR SEM	10 credits
Full academic year
MAS413 ⇐PPre-requisites: MAS112 MAS314 PHY21004 PHY21006 XCannot be taken with: MAS6431 PHY414 PHY414	Analytical Dynamics and Classical Field Theory	ACAD YR	20 credits
MAS435 ⇐PPre-requisites: MAS220 MAS331	Algebraic Topology	ACAD YR	20 credits
MAS436 ⇐PPre-requisites: MAS220 MAS331 MAS332	Functional Analysis	ACAD YR	20 credits
MAS439 ⇐PPre-requisites: MAS220	Commutative Algebra and Algebraic Geometry	ACAD YR	20 credits
MAS452 ⇐PPre-requisites: MAS113 MAS221 MAS223 MAS275	Stochastic Processes and Finance	ACAD YR	20 credits
MAS468	Statistical Programming in R	ACAD YR	10 credits

Units listed at 3 above to the value of 20 credits

With the permission of the Head of Department a student may replace MAS406 at 4A above with the following unit: MAS407 F7 Mathematics and Statistics Project III ACAD YR 17 40 Credits. In this case 70 rather than 80 credits need to be chosen from 4B above.

A student must achieve a weighted mean of 59.5 or above at Level Two, at the first attempt, in order to continue as a student for the Degree of MMath in Mathematics (MASU02). A student who fails to satisfy this requirement may be required by the Faculty to become instead a student for the Degree of BSc in Mathematics (MASU01).

A student must normally achieve a weighted mean of 59.5 or above at Level Three in order to continue as a student for the Degree of MMath in Mathematics (MASU02). A student who fails to satisfy this requirement may be required by the Faculty to become instead a student for the Degree of BSc in Mathematics (MASU01).

A student will take at least 120 credits at F7 level in Levels 3 and 4 combined in order to be eligible for the award of MMath in Mathematics (MASU02).

⇐P	-	This module has pre-requisite(s).
P⇒	-	This module is a pre-requisite for other modules.
C	-	This module has co-requisite(s).
X	-	Some modules cannot be studied in combination with this module.
+	-	Additional information about requirements for studying this module.

Please note that the regulations displayed on this page reflect provision in 2017/18 and may not reflect study undertaken in other academic sessions. To see regulations that applied in another academic session, please return to the Programme Regulations Finder home screen and select the appropriate session.