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Applicants should have, or expect to obtain before the start of the course a: 1st or upper 2nd class 4 year undergraduate degree (e.g. MMath) degree (or an equivalent overseas qualification) in a mathematical subject; MSc with Merit or Distinction (or an equivalent overseas qualification) in a mathematical subject. In some research areas, a background in physics, engineering or computer science is also acceptable. All applicants will need to demonstrate competency in English language. Applicants who do not already possess an acceptable English Language qualification will need to take a recognised test and attain the required English Language score: IELTS: At least 6.5 overall with 6.0 in the written component and no other sub-test below 5.5. TOEFL iBT: At least 90 overall with 20 in the written component and no other sub-test below 20. We do not accept 'MyBestScore'. Pearson Test of English (PTE): At least 58 overall with 50 in the written component and no other sub-test below 42.