Natural Sciences

Mathematics within Natural Sciences 2018-2019

This pages is primarily intended for existing students. It consists of modules available to Natural Sciences students, Joint-Honours regulations and general advice (which includes links to Departmental advice.)

The following lists the module code and the title of each module by the level of each module - clicking on the link will take you to further details listed in the Faculty Handbooks.

The last digit of the module code indicates whether the module is single, double or triple. The level indicates the year in which modules are normally taken, but it is often the case that students take modules from the adjacent level beneath the year of study. Visit the Subjects page for the general overarching rules and structure.

Please note that the modules on offer and the requirements for progression can change from year to year and that the only combinations of modules that are guaranteed to fit in the timetable are those splits between the two departments on an approved Joint Honours routes (MSci and BSc). 

Within Natural Sciences, Mathematics has BSc Joint-Honours programmes with: Biology; Chemistry; Computer Science; Economics; Geography; Earth Sciences; Philosophy; Physics; Psychology. There are also the following MSci Joint-Honours programmes with: Chemistry; Computer Science; Physics.

In BSc students' final year, they are required to take no less than 20 credits and no more than 60 credits of Capstone Modules. MSci student students are not required to take a capstone module, but rather take a Dissertation/Project in Year 4. Dissertation/Project/Capstone modules are denoted with G

Mathematics modules available to Natural Sciences students

Level 1 modules

Discrete Mathematics (MATH1031)
Programming And Dynamics I (MATH1041)
Analysis I (MATH1051)
Calculus And Probability I (MATH1061)
Linear Algebra I (MATH1071)
Statistics (MATH1541)
Maths For Engineers And Scientists (MATH1551)
Single Mathematics A (MATH1561)
Single Mathematics B (MATH1571)

Level 2 modules

Complex Analysis II (MATH2011)
Analysis In Many Variables II (MATH2031)
Statistical Concepts II (MATH2041)
Numerical Analysis II (MATH2051)
Mathematical Physics II (MATH2071)
Algebra II (MATH2581)
Elementary Number Theory II (MATH2617)
Geometric Topology II (MATH2627)
Mathematical Modelling II (MATH2637)
Probability II (MATH2647)
Special Relativity And Electromagnetism II (MATH2657)
Monte Carlo II (MATH2667)

Level 3 modules

Analysis III* (available 2019-2020) (MATH3011)
Differential Geometry III* (MATH3021)
Number Theory III (available 2018-2019) (MATH3031)
Galois Theory III (MATH3041)
Statistical Methods III (MATH3051)
Decision Theory III (MATH3071)
Numerical Differential Equations III (available 2018-2019) (MATH3081)
Dynamical Systems III* (MATH3091)
Continuum Mechanics III* (available 2019-2020) (MATH3101)
Quantum Mechanics III (MATH3111)
Mathematics Teaching III*G (MATH3121)
Operations Research III* (MATH3141)
Mathematical Biology* (MATH3171)
Geometry III (available 2018-2019) (MATH3201)
Probability III (available 2018-2019) (MATH3211)
Solitons III* (available 2019-2020) (MATH3231)
Stochastic Processes III (available 2019-2020) (MATH3251)
Topology III* (MATH3281)
Partial Differential Equations III* (MATH3291)
Mathematical Finance III* (MATH3301)
Bayesian Statistics III (available 2019-2020) (MATH3341)
Statistical Mechanics III* (available 2018-2019) (MATH3351)
Topics In Statistics III (available 2018-2019) (MATH3361)
Representation Theory III (available 2019-2020) (MATH3371)
Project IIIG (MATH3382)
Quantum Information III* (MATH3391)
Cryptography And Codes III (MATH3401)

Level 4 modules

Bayesian Statistics IV (available 2019-2020) (MATH4031)
Partial Differential Equations IV* (MATH4041)
General Relativity IV* (MATH4051)
Advanced Quantum Theory IV* (MATH4061)
Topics In Statistics IV (available 2018-2019) (MATH4071)
Project IVG (MATH4072)
Continuum Mechanics IV* (available 2019-2020) (MATH4081)
Stochastic Processes IV (available 2019-2020) (MATH4091)
Solitons IV* (available 2019-2020) (MATH4121)
Probability IV (available 2018-2019) (MATH4131)
Geometry IV (available 2018-2019) (MATH4141)
Topics In Algebra And Geometry IV* (available 2018-2019) (MATH4151)
Algebraic Topology IV* (MATH4161)
Riemannian Geometry IV* (MATH4171)
Mathematical Finance IV* (MATH4181)
Analysis IV* (available 2019-2020) (MATH4201)
Number Theory IV (available 2018-2019) (MATH4211)
Numerical Differential Equations IV (available 2018-2019) (MATH4221)
Statistical Mechanics IV* (available 2018-2019) (MATH4231)
Representation Theory IV (available 2019-2020) (MATH4241)

Requirements for Joint Honours (BSc and MSci Programmes)

Please note that these requirements are just for the B.Sc. degrees and the M.Sci. in Natural Sciences, requirements for the JH M.Sci. degrees involving Mathematics are detailed elsewhere.

There are 2 routes within Mathematics: Maths with Physics route and Maths without Physics route.
Maths without Physics
Year 1

60 credits: Analysis I (MATH1051), Calculus And Probability I (MATH1061), Linear Algebra I (MATH1071)

Year 2

60 credits: from the Level 2 Mathematics list.

Year 3

40 credits: Modules taken from the Level 3 Mathematics list.
If 60 credits or more are taken, 20 credits can be taken from the Level 2 Mathematics list.

Maths with Physics
Year 1

60 credits: Analysis I (MATH1051), Calculus And Probability I (MATH1061), Linear Algebra I (MATH1071)

Year 2

60 credits: Complex Analysis II (MATH2011), Analysis In Many Variables II (MATH2031) and at least 20 credits taken from the Level 2 list. Students must either take Mathematical Physics II (MATH2071) or Theoretical Physics 2 (PHYS2631) but both is not permitted.

Year 3

40 credits: Modules taken from the Level Mathematics 3 list. If 60 credits or more are taken, 20 credits can be at Level 2 Mathematics.

Advice for progression and other aspects

Department advice: See Mathematics Handbook
Natural Sciences advice
Year 1

Calculus And Probability I (MATH1061) and Linear Algebra I (MATH1071) gives some choice at level 2. To enhance further choice at Level 2 and beyond, Analysis I (MATH1051) is strongly recommended.
Progression from: MATH1061; MATH1071; MATH1051.

Year 2

Students who are unable to take Analysis I (MATH1051) can take any from Statistical Concepts II (MATH2041), Algebra II (MATH2581), Elementary Number Theory II (MATH2617), Geometric Topology II (MATH2627) or (Mathematical Physics II (MATH2071) if Foundations Of Physics 1 (PHYS1122) has been taken.)
Students taking Biology, Economics or Geography are recommended to take Statistical Concepts II (MATH2041).
Progression from: MATH1051; MATH2041; MATH2581; MATH2617; MATH2627; MATH2071; PHYS1122.

Year 3

Decision Theory III (MATH3071) and Operations Research III (MATH3141) have no Level 2 prerequisites, but do require students to have taken Calculus And Probability I (MATH1061) and Linear Algebra I (MATH1071).
Progression from: MATH3071; MATH3141; MATH1061; MATH1071.

For more information about the Natural Sciences degree programme, please contact:

Dr. James Blowey
Deputy Head of Faculty
Faculty of Science Office
Level 3 Chemistry Building
Durham University
DH1 3LE
UK

Email: natural.sciences-director@durham.ac.uk

WWW: Natural Sciences home page

The Natural Sciences web pages are maintained by James Blowey