ObjectivesThe Mathematics course is taught by the three departments of Pure Mathematics, Applied Mathematics and probability and Statistics. Most Single Honours students start by studying Core Mathematics and all three of these subjects and may specialise in one or two of them later on. Dual Honours students take Core Mathematics and some of the same modules as the Single Honours students, and spend roughly half of their time in the School of Mathematics and Statistics. There is scope for changing degree course within the first few weeks of arriving in Sheffield, and sometimes at the end of the first or second year. The courses in Applied Mathematics and Probability and statistics do not assume prior knowledge of these subjects. The third year is spent abroad at a German university, learning mathematics in the German language. Also, in the first, second and fourth years, spent at Sheffield, some mathematics courses are replaced by courses in German language at an appropriate level. Candidates are expected to have a good A Level in German to enter this course. This course is run jointly with the Department of Germanic Studies
Entry requirementsEntry requirements GCE/VCE A Levels - ABC BTEC National Diploma - 2 Distinctions and 1 Merit Two GCE A Levels plus two GCE AS Levels - AB+CC Scottish Highers - AABB - AAAB (plus at least two Advanced Highers) Irish Leaving Cert. - ABBBB - AABBB International Baccalaureate - 32-33 points including 5 in Higher Maths Core Requirements - Grade C in GCE A Level German plus Grade A in GCE A Level Maths.
Academic titleMMath Mathematics with German Language
Course descriptionOur students usually select from a range of compulsory and optional modules to add up to 120 credits.
Some departments offer courses that don't feature optional modules whereas other courses are fully flexible.
Important notice :
This is a list of modules that have been offered in the past. We expect similar modules to be offered for courses starting in 2009.
This information is provided for illustration only and you should check with the department directly when applying to confirm module options.
Typical First Year Modules
Module/Unit Credits
Foundations of Probability and Statistics 10
German 3A 10
German 3B 10
Groups and Symmetries 10
Mathematics with Maple 10
Matrices and Geometry 10
Numbers and Proofs 10
Practical Calculus 10
Probability and Inference 10
Probability, Sets and Complex Numbers 10
Typical Second Year Modules
Module/Unit Credits
Advanced Calculus 10
Continuity and Integration 10
German 4A 10
German 4B 10
German Placement Preparation 10
Linear Mathematics for Applications 10
Statistics Core 10
Tandem Learning Module Stage 4 German/English 10
Nonlinear Mathematics 10
Probability Modelling 10
Rings and Groups 10
Statistical Modelling 10
Statistical Reasoning 10
Vector Spaces and Fourier Theory 10
Typical Third Year Modules
Module/Unit Credits
German 3D/4D Yr Abroad Project Identification - Social Scientists, Scientists, Engineers 10
German 3E/4E Yr Abroad Project - Social Scientists, Scientists, Engineers 10
Probability and Statistics with Study in Europe 100
Study in Europe 100
Typical Fourth Year Modules
Module/Unit Credits
German 5A 10
German 5B 10
Project Presentation in Mathematics and Statistics 10
Practical and Applied Statistics 20
Probability and Statistics Project IIB 20
Probability and Statistics Project IIa 20
Pure Mathematics Project IIA 20
Pure Mathematics Project IIB 20
Algebraic Topology 10
Analytic Number Theory 10
Applicable Analysis 10
Applied Probability 10
Bayesian Statistics 10
Chaos 10
Codes and Cryptography 10
Combinatorics 10
Commutative Algebra 10
Complex Analysis 10
Computational Inference 10
Differential Geometry 10
Extended Linear Models 10
Fields 10
Financial Mathematics 10
Fractals 10
Galois Theory 10
Graph Theory 10
Group Representations 10
Groups and Symmetry 10
History of Mathematics 10
Knots and Surfaces 10
Linear Models 10
Medical Statistics 10
Metric Spaces 10
Multivariate Data Analysis 10
Optics and Symplectic Geometry 10
Probability and Statistics Project I 10
Pure Mathematics Project I 10
Real and Complex Analysis 10
Sampling Theory and Design of Experiments 10
Statistical Analysis with S-Plus 10
Stochastic Finance 10
Stochastic Processes 10
Time Series 10
Topics in Number Theory 10
Undergraduate Ambassadors Scheme in Mathematics 10