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Provides introductory notes, overview of expectations and submission deadlines, and guidance for writing essays for 3 units of examination credit, including essay marks, quality marks, and how credit totals must reach 17-19 units. Explains how to request additional titles, consult the essay setter, and choose preferred essay titles via the Part III Essay Moodle.",{"@graph":63,"@context":118},[64,80,101],{"@type":65,"itemListElement":66},"BreadcrumbList",[67,71,74,77],{"item":68,"name":69,"@type":70,"position":9},"https://docshare.wps.com","Home","ListItem",{"item":72,"name":10,"@type":70,"position":73},"https://docshare.wps.com/template/",2,{"item":75,"name":46,"@type":70,"position":76},"https://docshare.wps.com/template/paper-templates/",3,{"item":78,"name":59,"@type":70,"position":79},"https://docshare.wps.com/template/faculty-of-mathematics-part-iii-essays-2025-26/349123/",4,{"url":78,"name":59,"@type":81,"image":82,"author":87,"headline":59,"publisher":90,"fileFormat":93,"inLanguage":57,"description":61,"dateModified":94,"datePublished":95,"encodingFormat":93,"isAccessibleForFree":96,"interactionStatistic":97},"DigitalDocument",{"url":83,"@type":84,"width":85,"height":86},"https://docshare.wps.com/thumbnails/faculty-of-mathematics-part-iii-essays-2025-26/349123.png","ImageObject",442,249,{"name":88,"@type":89},"วิน","Person",{"url":68,"name":91,"@type":92},"DocShare","Organization","application/pdf","2026-10-07","2026-09-22",true,{"@type":98,"interactionType":99,"userInteractionCount":15},"InteractionCounter",{"@type":100},"ViewAction",{"@type":102,"mainEntity":103},"FAQPage",[104,110,114],{"name":105,"@type":106,"acceptedAnswer":107},"When are students expected to submit their essay and for what examination credit?","Question",{"text":108,"@type":109},"Students submit an essay written during the year by a deadline early in the Easter Term for 3 units of examination credit.","Answer",{"name":111,"@type":106,"acceptedAnswer":112},"How are essay marks and quality marks used?",{"text":113,"@type":109},"Each essay receives a numerical mark out of 100 and a quality mark, with further detail referenced in the Part III Handbook appendices.",{"name":115,"@type":106,"acceptedAnswer":116},"How can a student request an additional essay title not listed in the booklet?",{"text":117,"@type":109},"Students must approach their Part III Subject Advisor or a departmental contact, then ask their Director of Studies to write to the Secretary of the Faculty Board by 1 February for approval by the Part III Examiners.","https://schema.org",{"og:url":78,"og:type":120,"og:title":59,"og:site_name":91,"og:description":61},"article",{"robots":122,"canonical":78},"index,follow",{"doc_id":124,"site_id":56},349123,1790351936,{"code":4,"msg":5,"data":127},{"doc_id":124,"user_id":128,"nickname":88,"user_avatar":129,"doc_module":9,"category_id":45,"category_name":46,"doc_title":59,"doc_description":61,"doc_content":130,"file_id":131,"file_url":132,"file_type":133,"file_size":134,"view_count":15,"is_deleted":4,"is_public":9,"is_downloadable":9,"audit_status":9,"page_count":135,"language":136,"language_code":57,"site_id":56,"html_lang":57,"table_of_contents":137,"faqs":138,"seo_title":139,"seo_description":61,"update_tm":140,"read_time":141},2336475104736,"https://ap-avatar.wpscdn.com/avatar/22000c4c5e0e5b17e70?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786591360781797222","Faculty of Mathematics Part III Essays: 2025-26  \nTitles 1 – 65  \nDepartment of Pure Mathematics & Mathematical Statistics  \nTitles 66 – 103  \nDepartment of Applied Mathematics & Theoretical Physics  \nTitles 104 – 127  \nAdditional Essays  \nIntroductory Notes  \nOverview  \nAs explained in the Part III Handbook, students are expected to submit an essay (written during the year) by a deadline early in the Easter Term for 3 units of examination credit (equivalent to the credit available from a 3-hour written paper for a 24-lecture course) . This Essay Booklet contains details of the approved essay titles, together with general guidelines and instructions for writing an essay. A timetable of relevant events and deadlines is included on page (vi) of this document.  \nThe essay is a key component of Part III. Experience has shown that the great majority of students find that working on their essay is an enjoyable change from learning from lectures and is valuable training for research as well as a range of other careers.  \nEssay Marks and Examination Credit  \nEach essay is awarded a numerical mark out of a maximum of 100 and a ‘quality mark’(just as with written papers) . Further details can be found in Appendix IV of the Part III Handbook and descriptors for the broad grade ranges of quality marks for essays are also reproduced below, in Appendix 2. The Faculty Board does not necessarily expect the mark distribution for essays to be the same as that for written examinations. Indeed, in recent years for many students their essay mark has been amongst their higher marks across all examination papers, both because of the typical amount of effort devoted to the essay and the different skill set tested (compared to a time-limited written examination) . The Faculty Board wishes that hard work and talent thus exhibited should be properly rewarded.  \nCandidates should note that, since there is a maximum of 16 units of credit that can be obtained from examination papers for lecture courses, it is essential to submit an essay in order to achieve a total amount of examination credit in the range 17-19 units. See Section 9 – Examinations and Assessment in the Part III Handbook for further details.  \nEssay Titles  \nThe titles of essays in this booklet have been approved by the Part III Examiners.1 Additional titles may be approved by the Part III Examiners and will be added to this booklet not later than 1 March. Essay titles cannot be approved informally: the only allowed essay titles are those which appear in the final version of this document, available on the Faculty website.2  \nRequesting an Additional Title  \nIf you wish to write an essay on a topic not covered in this booklet you should approach your Part III Subject Advisor or Departmental Contact or another member of the academic staff to discuss a new title. You should then ask your Director of Studies to write to the Secretary of the Faculty Board (email: undergrad[office@maths.cam.ac.uk](office@maths.cam.ac.uk)) not later than 1 February requesting that an essay on that topic be approved.3 The new essay title will require the approval of the Part III Examiners. It is important that the essay should not substantially overlap with any course being given in Part III. If you request an essay title you are under  \n1 The titles are also published in the University’s journal of record, the Cambridge University Reporter.  \n2 All additional titles will also be published in the Cambridge University Reporter.  \n3 See Regulation 17 of the Regulations for the Mathematical Tripos.  \nno obligation to write the corresponding essay. Once announced, an essay title is open to any student, subject to the guidance below.  \nInteraction with the Essay Setter  \nNormally candidates may consult the setter up to three times before the essay is submitted. This includes the first meeting described below, which may take the form of a group meeting at which the setter describes the essay topic and answers general qu","cbCaiik54q2w7M6K","https://ap.wps.com/l/cbCaiik54q2w7M6K","pdf",1401287,139,"English","# Introductory Notes\n## Overview\n## Essay Marks and Examination Credit\n## Essay Titles\n## Requesting an Additional Title\n## Interaction with the Essay Setter\n## Essay Title Choice","[{\"question\":\"When are students expected to submit their essay and for what examination credit?\",\"answer\":\"Students submit an essay written during the year by a deadline early in the Easter Term for 3 units of examination credit.\"},{\"question\":\"How are essay marks and quality marks used?\",\"answer\":\"Each essay receives a numerical mark out of 100 and a quality mark, with further detail referenced in the Part III Handbook appendices.\"},{\"question\":\"How can a student request an additional essay title not listed in the booklet?\",\"answer\":\"Students must approach their Part III Subject Advisor or a departmental contact, then ask their Director of Studies to write to the Secretary of the Faculty Board by 1 February for approval by the Part III Examiners.\"}]","Faculty of Mathematics Part III Essays 2025-26 | PDF",1790081751,49]