The Mathematical Tripos is a three-year or a four-year course. After three years students receive the BA degree but if they chose to continue for four years, receive the BA and MMath degrees. In both cases, you automatically qualify, after a further three years, for the MA degree. The range of subjects offered in the Cambridge Maths degree is exceptionally wide: you can learn about everything from black holes to the most abstruse problems in logic. Mathematics cannot be taken jointly with any other course (no joint honours, no Maths-with-French) – although, in the first year when you can choose to take the Physics paper from the Natural Sciences Tripos in place of 25% of the Mathematics course. The exams on the Cambridge maths course are also non-modular in structure. There are four three-hour papers at the end of each year and these do not correlate with a specific topic. In the first year, two topics are examined on each paper and in the second and third years each paper is cross-sectional, meaning that questions on the individual lectures courses are spread over the four papers. This allows you the flexibility to choose how many courses you wish to revise for the examination and therefore students can work at their own pace.

Aims of the Course:

- to provide a challenging course in mathematics and its applications for a range of students that includes the best in the country;
- to provide a course that is suitable both for students aiming to pursue research and for students going into other careers;
- to provide an integrated system of teaching which can be tailored to the needs of individual students;
- to develop in students the capacity for learning and for clear logical thinking;
- to continue to attract and select students of outstanding quality;
- to produce the high calibre graduates in mathematics sought by employers in universities, the professions and the public services, many of whom will become world leaders in their chosen ﬁelds;

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1st year | |

CoursesCompulsory first year includes:- Pure & Applied Mathematics
- Mathematics & Physics (designed for students with strong mathematical interests who plan to study Physics after the ﬁrst year)
- Extension on Familiar Themes: (such as linear equations, diﬀerentiation, integration)
- introduction to Dynamics and Special Relativity, which provides a ﬁrst look at theoretical physicsfrom a mathematical point of view
- Group Theory
- Probability.
| AssessmentFirst University examinations: Four three hour compulsory papers |

2nd year | |

Courses- Pure: foundations of calculus are examined further and new algebraic systems (extending the concept of a group) are developed.
- Applied: electromagnetism, ﬂuid dynamics and quantum mechanics
- ‘Applicable mathematics’ – including statistics, Markov chains, and optimisation (choosing the best route through a network, for example).
- Computational Projects course – students investigate mathematical problems using numerical or algebraic techniques on computers.
| Assessment: one examination paper for each lecture course. Four examinations total. You can opt to submit an essay, for which titles relating to current ‘hot’ research topics are suggested. |

3rd and 4th years | |

CoursesLarge variety. Students choose 8 topics form circa 35: C courses are designed to be readily accessible whereas D courses are more advanced.C courses:- Number Theory
- Geometry
- Coding and Cryptography
- Statistical Modelling
- Mathematical Biology
- Cosmology
D courses: - Algebraic Topology
- Logic and Set Theory
- Probability and Measure
- Principles of Statistics,
- Stochastic Financial Models
- Principles of Quantum Mechanics
- General Relativity
- Fluid Dynamics
- Numerical Analysis
| Assessment3rd year: Final University Examinations, 8 topics form circa 35: C courses are designed to be readily accessible whereas D courses are more advanced. |

Extra Supplementary Courses are also available:

- A (non-examinable) mechanics course aimed at ﬁrst-year students who have not taken much mechanics; it provides the prerequisites for the Dynamics and Relativity course.
- A (non-examinable) course on the History of Mathematics.
- A (non-examinable) course on Theoretical Physics, available to all students in the Easter term, but mainly aimed at ﬁrst year students; it provides a glimpse into the major areas of theoretical physics — a taster of things to come.
*Prestigious annual lectures, such as the Rouse Ball lecture, for which an eminent mathematician is invited to Cambridge.**Courses given by other faculties. For example, the Natural Sciences Faculty oﬀers**courses on Physics and the Philosophy Faculty oﬀers courses on Logic and the Philosophy of Mathematics.**Language Courses. There are lecture courses for Scientists and Mathematicians wishing**to learn German or Russian. The language laboratories contain material for many**languages.**Computing. The University Computing Service oﬀers a range of courses on computing:**http://training.csx.cam.ac.uk/ucs/theme**The Mathematics Faculty computer laboratory is equipped with workstations whic**may be used by any student reading Mathematics, and all colleges have well-equipped**IT centres.*