View source for Part III of the Mathematical Tripos

[[Image:Mathmo results.jpg|right|thumb|240px|Results for parts II and III of the Mathematical Tripos are read out inside Senate House, University of Cambridge and then tossed from the balcony.]]
'''Part III of the Mathematical Tripos''' (officially '''Master of Mathematics/Master of Advanced Study''') is a one-year Masters-level taught course in [[Mathematics|mathematics]] offered at the Faculty of Mathematics, University of Cambridge. It is regarded as one of the hardest and most intensive mathematics courses in the world and is taken by approximately 260 students each year.<ref>{{Cite web |url=http://www2014.maths.cam.ac.uk/facultyboard/partiiicommittee/exreport2013.pdf |title=Archived copy |access-date=2015-10-14 |archive-url=https://web.archive.org/web/20150830052955/http://www.maths.cam.ac.uk/facultyboard/partiiicommittee/exreport2013.pdf |archive-date=2015-08-30 |url-status=dead }}</ref><ref>https://www.dpmms.cam.ac.uk/~twk/PartIII.pdf</ref> Roughly one third of the students take the course as a fourth year of mathematical study at Cambridge after Parts IA, IB, and II of the Mathematical Tripos, whilst the remaining two thirds take the course as a one-year course.<ref name="discussion" />

==History==
The Smith's Prize Examination was founded by bequest of Robert Smith upon his death in 1768 to encourage the study of more advanced mathematics than that found in the undergraduate course. [[Biography:Thomas William Körner|T. W. Körner]] notes

{{quote|Only a small handful of students took the Smith's prize examination in the nineteenth century. When [[Biography:Karl Pearson|Karl Pearson]] took the examination in 1879, the examiners were [[Biography:Sir George Stokes, 1st Baronet|Stokes]], [[Biography:James Clerk Maxwell|Maxwell]], [[Biography:Arthur Cayley|Cayley]], and [[Biography:Isaac Todhunter|Todhunter]] and the examinees went on each occasion to the examiner's house, did a morning paper, had lunch there, and continued their work on the paper in the afternoon.|[[Biography:Thomas William Körner|Thomas William Körner]]<ref name="discussion" />}}

In 1883 this was replaced by an exam called ''Part III'' and the Smith's Prize awarded for an essay rather than examination. In 1886 this exam was renamed ''Part II'', and later in 1909 ''Part II, Schedule B''. In 1934 it was again renamed ''Part III''.<ref name="discussion" /> 

In the 1980s the ''Certificate of Advanced Study in Mathematics'' was introduced; for those students successfully completing Part III of the Mathematical Tripos in Easter Term 2011 CASM was replaced by two new degrees, the ''[[Master of Mathematics]]'' (M.Math.) and ''Master of Advanced Study'' (M.A.St.). All who have passed the course since 1962 are entitled to these new degrees.<ref name="discussion">{{cite web|url=http://www.admin.cam.ac.uk/reporter/2008-09/weekly/6138/16.html|title=Discussion on the establishment of a degree of Master of Mathematics and a degree of Master of Advanced Study|publisher=Cambridge University Reporter|date=2009-01-28|access-date=2009-04-30}}</ref> The first retrospective M.Math and M.A.St. degrees were conferred as part of a celebration of the University's 800th anniversary.<ref>{{cite web|url=http://www.maths.cam.ac.uk/postgrad/mathiii/arrangements.html|title=Award of the Master of Mathematics and the Master of Advanced Study in Mathematics|author=T. W. Körner|access-date=3 December 2010|url-status=dead|archive-url=https://web.archive.org/web/20101127135858/http://www.maths.cam.ac.uk/postgrad/mathiii/arrangements.html|archive-date=27 November 2010}}</ref> The course is often still referred to as Part III.

==Master of Mathematics vs Master of Advanced Study==
Students who have completed their undergraduate degree at Cambridge will be awarded both a Bachelor of Arts (B.A.) and the [[Master of Mathematics]] (M.Math.) degree for four years of study, provided they have not previously graduated with a B.A.<ref>{{Cite web|url=http://www.maths.cam.ac.uk/postgrad/mathiii/information-part-ii-students-wishing-continue-part-iii|title=Information for Part II students wishing to continue to Part III|date=September 23, 2015|website=www.maths.cam.ac.uk}}</ref> This allows Cambridge graduates to remain eligible for government funding for the course. Progression from Part II of the Mathematical Tripos to Part III normally requires either a first in Part II or very good performances in Parts IB and Part II.<ref>{{Cite web|url=https://www.undergraduate.study.cam.ac.uk/courses/mathematics|title=Mathematics|first=Lisa|last=Bonetti|date=February 1, 2019|website=www.undergraduate.study.cam.ac.uk}}</ref> 
Students who complete Part III of the Mathematical Tripos, but did not complete undergraduate studies at Cambridge (or have previously graduated with a B.A.) will be awarded the Master of Advanced Study (M.A.St.) in Mathematics degree for the one-year course.<ref>{{cite web|url=http://www.admin.cam.ac.uk/reporter/2008-09/weekly/6133/13.html|title=Joint Report of the Council and the General Board on the establishment of a degree of Master of Mathematics and a degree of Master of Advanced Study|publisher=Cambridge University Reporter|date=2008-12-10|access-date=2009-04-30}}</ref><ref>{{cite web|url=http://www.admin.cam.ac.uk/reporter/2008-09/weekly/6144/21.html|title=Graces submitted to the Regent House on 11 March 2009|publisher=Cambridge University Reporter|date=2009-03-11|access-date=2009-04-30}}</ref>

The program previously resulted in a Certificate of Advanced Study in Mathematics instead of a Master's degree.<ref>{{cite web|url=https://www.maths.cam.ac.uk/certificate-advanced-study-mathematics-part-iii-announcement-1|title=Certificate of Advanced Study in Mathematics (Part III) : Announcement|publisher=Cambridge University Reporter|access-date=2018-02-25|archive-url=https://web.archive.org/web/20180226031955/https://www.maths.cam.ac.uk/certificate-advanced-study-mathematics-part-iii-announcement-1|archive-date=2018-02-26|url-status=dead}}</ref>

==Current course structure==
The course lasts one year, divided into three eight-week terms. There are a wide variety of lectures on both pure and applied maths, mostly concentrated in the first two terms. The third term is primarily for examinations (and revision for said examinations) which, together with the option of writing a part III essay (introduced in the 1970s, a miniature [[Thesis|thesis]] of sorts, often in the form of a [[Literature review|literature review]]), determine one's final grade entirely.

==Grading==

The grades available are Fail, Pass (Honours), Merit, and Distinction (the Merit grade was introduced in 2000).  Cambridge recognises that in Part III of the mathematical tripos a merit is equivalent to a [[British undergraduate degree classification|First Class]] in the other parts of the Tripos.<ref>{{Cite web|url=https://raven.cam.ac.uk/auth/authenticate.html?ver=3&url=http%3A//www.maths.cam.ac.uk/&desc=Faculty%20of%20Mathematics&params=http%3A//www.maths.cam.ac.uk/postgrad/prospective/part-iii/structure|title=Raven login|website=raven.cam.ac.uk}}</ref><ref>{{Cite web|url=http://www.admin.cam.ac.uk/offices/planning/sso/studentnumbers/2014exams.pdf|title = Data & Analysis for Planning|date = 13 October 2016}}</ref> The level of achievement required for a distinction is yet higher.
Traditionally, results are announced in the University's Senate House. Standing on the [[Engineering:Balcony|balcony]], the examiner reads out the [[British undergraduate degree classification|class results]] for each student, and printed copies of the results are then thrown to the audience below. The students' exact rankings are no longer announced, but the highest-ranked student is still identified, nowadays by the tipping of the examiner's academic hat when the relevant name is read out.

==Prizes==

In addition to the grades, there are six associated prizes. Five of these may be awarded at the discretion of the examiners: the Mayhew Prize for [[Applied mathematics|applied mathematics]], the Tyson Medal for [[Mathematics|mathematics]] and [[Astronomy:Astronomy|astronomy]], the Bartlett Prize for [[Applied probability|applied probability]],<ref>{{Cite web|url=https://www.admin.cam.ac.uk/univ/so/2013/chapter12-section2.html#heading2-28|title = Chapter Xii : Trust Emoluments - Funds, Studentships, Prizes, Lectureships, Etc}}</ref> the Wishart Prize for [[Statistics|statistics]]<ref>{{Cite web|url=https://www.admin.cam.ac.uk/univ/so/2013/chapter12-section2.html#heading2-601|title = Chapter Xii : Trust Emoluments - Funds, Studentships, Prizes, Lectureships, Etc}}</ref> and the Pure Mathematics Prize for [[Pure mathematics|pure mathematics]]. Several notable astronomers and astrophysicists have been awarded the Tyson Medal in the history of Part III maths, including Jayant Narlikar, Ray Lyttleton and Edmund Whittaker. In addition, the Thomas Bond Sprague Prize
is awarded by the Rollo Davidson Trust for distinguished performance in [[Actuarial science|actuarial science]], 
[[Finance:Finance|finance]], [[Finance:Insurance|insurance]], [[Operations research|mathematics of operational research]], [[Probability theory|probability]], [[Risk|risk]]
and [[Statistics|statistics]].

==References==
{{Reflist}}

{{DEFAULTSORT:Part Iii Of The Mathematical Tripos}}

{{Sourceattribution|Part III of the Mathematical Tripos|1}}