申请牛津大学录取率只有5.8%的数学与统计专业，不得不看的官方建议

　　牛津大学随着每年日益递增的申请，录取率也是逐年下降，2019/20季录取率为17%。

　　而众多专业中，竞争最为激烈的三大专业为：

　　Mathematics and Statistics，录取率5.8%

　　Economics and Management，录取率6.7%

　　Computer Science，录取率7.6%

　　我们今天就来说说录取率最低的数学与统计（Mathematics and Statistics）专业。

　　Alevel入学要求

　　专业：Mathematics and Statistics

　　Alevel要求：A*A*A

　　数学和进阶数学A*

　　需参加MAT (Mathematics Admissions Test)

　　2017-2019 三年平均录取数据：

　　Interviewed: 27%

　　Successful: 6%

　　Intake: 13

　　入学前要掌握哪些知识点

　　由于A-level数学已经包含了力学、概率和统计的部分知识，步入大学后，你可能会发现一些课程的早期部分会重复A-level学过的知识点，当然也有一些部分对我们来说是全新的。不过，即使是“旧的”知识也会被重新包装，以不同的形式呈现给学生。

　　入学前需要掌握的知识点如下：

　　Polynomials and basic properties of the roots of polynomial equations.

　　Partial fractions.

　　Simultaneous equations.

　　Inequalities and their manipulation.

　　Basic properties of triangles and circles.

　　Equations of the parabola, ellipse and hyperbola.

　　Elementary properties of lines and planes in three dimensions.

　　Arithmetic and geometric progressions.

　　Product, quotient and chain rules of differentiation.

　　Solving simple differential equations.

　　Integration by parts.

　　Recognition of the shape of a plane curve from its equation, maxima and minima, tangents and normals.

　　Binomial Theorem, combinations.

　　Taylor series, the binomial series for non-integer exponent.

　　Matrices and determinants.

　　Induction.

　　Complex numbers – their algebra and geometry.

　　Exponential and trigonometric expansions and Euler’s relation between them.

　　Standard integration techniques and spotting substitutions.

　　Second-order differential equations with constant coefficients

　　而Alevel考试结束后的两个月，对我们来说是一个很重要的机会，既可以复习牛津大学提出的必备知识点的知识缺口，或者重启那些已经生疏的知识。

　　暑期推荐书单

　　牛津大学同时还给我们列出了如下阅读书单。有些是技术性书籍，旨在缩小A-level和大学数学之间的差距，帮助你在夏季填补这些差距;还有一些旨在普及数学思想、某个专题或定理的历史，或者是伟大数学家的传记，这些可以让你了解数学是如何被发现的，以及大学将会涉及到哪些专题。

　　Bridging Material

　　Alcock, Lara How to Study for a Mathematics Degree (2012)

　　Allenby, Reg Numbers and Proofs (1997)

　　Earl, Richard Towards Higher Mathematics: A Companion (2017)

　　Houston, Kevin How to Think Like a Mathematician (2009)

　　Liebeck, Martin A Concise Introduction to Pure Mathematics (2000)

　　Popular Mathematics

　　Acheson, David 1089 and All That (2002), The Calculus Story (2017)

　　Bellos, Alex Alex’s Adventures in Numberland (2010)

　　Clegg, Brian A Brief History of Infinity (2003)

　　Courant, Robbins and Stewart What is Mathematics? (1996)

　　Devlin, Keith Mathematics: The New Golden Age (1998), The Millennium Problems (2004), The Unfinished Game (2008)

　　Dudley, Underwood Is Mathematics Inevitable? A Miscellany (2008)

　　Elwes, Richard MATHS 1001 (2010), Maths in 100 Key Breakthroughs (2013)

　　Gardiner, Martin The Colossal Book of Mathematics (2001)

　　Gowers, Tim Mathematics: A Very Short Introduction (2002)

　　Hofstadter, Douglas G?del, Escher, Bach: an Eternal Golden Braid (1979)

　　K?rner, T. W. The Pleasures of Counting (1996)

　　Neale, Vicky Closing the Gap: the quest to understand prime numbers (2017)

　　Odifreddi, Piergiorgio The Mathematical Century: The 30 Greatest Problems of the Last 100 Years (2004)

　　Piper, Fred & Murphy, Sean Cryptography: A Very Short Introduction (2002)

　　Polya, George How to Solve It (1945)

　　Sewell, Michael (ed.) Mathematics Masterclasses: Stretching the Imagination (1997)

　　Singh, Simon The Code Book (2000), Fermat’s Last Theorem (1998)

　　Stewart, Ian Letters to a Young Mathematician (2006), 17 Equations That Changed The World (2012)

　　History and Biography

　　Burton, David The History of Mathematics (2007)

　　Derbyshire, John Unknown Quantity – A Real and Imaginary History of Algebra (2006)

　　Goldstein, Rebecca Incompleteness – The Proof and Paradox of Kurt G?del (2005)

　　Gray, Jeremy Hilbert’s Challenge (2000)

　　Hellman, Hal Great Feuds in Mathematics (2006)

　　Hodgkin, Luke A History of Mathematics – From Mesopotamia to Modernity (2005)

　　Hodges, Andrew Alan Turing: The Enigma (1992)

　　Stedall, Jacqueline The History of Mathematics: A Very Short Introduction (2012)

　　Pesic, Peter Abel’s Proof (2004)

　　Reid, Constance Julia: A Life in Mathematics (1996)

　　Stillwell, John Mathematics and Its History (2002)