University of Oxford Mathematics

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University of Oxford Mathematics

Mathematicians have always been fascinated by numbers. One of the most famous problems is Fermat’s Last Theorem: ie if n≥3, the equation xn+yn=zn has no solutions with x, y, z all nonzero integers. An older problem is to show that one cannot construct a line of length 3√2 with ruler and compass, starting with just a unit length.

Often the solution to a problem will require you to think outside its original framing. This is true here, and you will see the second problem solved in your course; the first is far too deep and was famously solved by Andrew Wiles.

In applied mathematics we use mathematics to explain phenomena that occur in the real world. You can learn how a leopard gets its spots, explore quantum theory and relativity, or study the mathematics of stock markets.

We will encourage you to ask questions and find solutions for yourself. You will need to think mathematically and we begin by teaching you careful definitions so that you can construct theorems and proofs. Above all, mathematics is a logical subject, so you will need to argue clearly and concisely as you solve problems. For some of you, this way of thinking or solving problems will be your goal. Others will want to see what further can be discovered. Either way, it is a subject we want you to enjoy.

Maths Careers

Quantitative skills are highly valued, and this degree prepares students for employment in a wide variety of occupations in the public and private sectors. Around 30% of our graduates go on to further study, but for those who go into work typical careers include finance, consultancy and IT.

Nathan, an engineer, says: ‘During my degree I developed my ability to solve complex problems – a fundamental skill set to tackle challenges I encounter on a day-to-day basis as an engineer. The application of mathematics in engineering and manufacturing is ever increasing, meaning there will be more and more opportunities to find interesting roles in which I can apply my skills.’

Related courses

Students interested in this course might also like to consider the three joint degrees with mathematics: Mathematics and Computer ScienceMathematics and Philosophy, and Mathematics and Statistics.

The course

There are two Mathematics degrees, the three-year BA and the four-year MMath. Decisions regarding continuation to the fourth year do not have to be made until the third year.

The first year consists of core courses in pure and applied mathematics (including statistics). Options start in the second year, with the third and fourth years offering a large variety of courses, including options from outside mathematics.

A typical weekly timetable

  • Years 1 and 2: around ten lectures a week, two–three tutorials or classes a week
  • Additional practicals in computing (first year) and numerical analysis (if taken)
  • Years 3 and 4: eight lectures a week, with two–four classes a week, depending on options taken
1st year
Courses

Compulsory 1st year includes:

  • Algebra
  • Analysis
  • Probability and statistics
  • Geometry and dynamics
  • Multivariate calculus and mathematical models
Assessment

First University examinations:

Five compulsory papers

Computational mathematics projects

2nd year
Courses

  • Compulsory core of Algebra, Complex analysis, Metric spaces, Differential equations
  • Selection from topics including Algebra; Number theory; Analysis; Applied analysis; Geometry;
    Topology; Fluid dynamics; Probability; Statistics; Numerical analysis; Graph theory; Special relativity; Quantum theory
Assessment

Final University examinations, Part A:

Three core papers and six or seven optional papers

3rd and 4th years
Courses

Large variety, ranging across: Algebra; Analysis; Applied analysis; Geometry; Topology; Logic; Number theory; Applied probability; Statistics; Theoretical mechanics; Mathematical physics; Mathematical biology; Information theory; Actuarial mathematics; Undergraduate Ambassadors Scheme; Dissertation; Mathematical philosophy; Computer Science options; History of Mathematics

The options listed above are illustrative and may change. A full list of current options is available on the Maths website.

Assessment

3rd year: Final University Examinations, Part B: Eight papers or equivalent

4th year: Final University Examinations, Part C: Eight papers or equivalent

Classification on Parts A and B. Currently upper second required to progress to Part C. Separate classification on Part C

MMathPhys 4th year

From 2015–16, the Physics and Mathematics Departments have jointly offered an integrated master’s level course in Mathematical and Theoretical Physics. Mathematics students will be able to apply for transfer to a fourth year studying entirely mathematical and theoretical physics, completing the degree with an MMathPhys. The course offers research-level training in: Particle physics, Condensed matter physics, Astrophysics, Plasma physics and Continuous media. For full details see mmathphys.physics.ox.ac.uk.