Cambridge Mathematical Tripos
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The Mathematical Tripos is the taught mathematics course at the University of Cambridge.
Contents
Structure of the Course
The course comprises three undergraduate years (Parts I and II) which qualify a student for a BA degree and a single year graduate training course (Part III) which qualify a student for a Certificate of Advance Study in Mathematics.Origin of the Mathematical Tripos
In its classical nineteenth-century form, the tripos was a distinctive written examination of undergraduate students of the University of Cambridge. From about 1780 to 1909, the "Old Tripos" was distinguished by a number of features, including the publication of an order of merit of successful candidates, and the difficulty of the mathematical problems set for solution.Influence
According to the study Masters of Theory: Cambridge and the Rise of Mathematical Physics by Andrew Warwick, during this period the style of teaching and study required for the successful preparation of students had a wide influence: on the development of 'mixed mathematics' (a precursor of later applied mathematics and mathematical physics, with emphasis on algebraic manipulative mastery); on mathematical education; as vocational training for fields such as astronomy; and in the reception of new physical theories, particularly in electromagnetism as expounded by James Clark Maxwell.Early history
The early history is of the gradual replacement during the middle of the eighteenth century of a traditional method of oral examination by written papers, with a simultaneous switch in emphasis from Latin disputation to mathematical questions. That is, all degree candidates were expected to show at least competence in mathematics. A long process of development of coaching – tuition usually outside the official University and college courses – went hand-in-hand with a gradual increase in the difficulty of the most testing questions asked. The standard examination pattern of bookwork (mostly memorised theorems) plus rider (problem to solve, testing comprehension of the bookwork) was introduced.Wranglers and their coaches
The list of wranglers, that is, the candidates awarded a first-class degree, became in time the subject of a great deal of public attention. The coaches, of whom Edward Routh was the most outstanding, assumed a para-academic status. The level of technique required of the candidates was high, and the time pressure in the examinations acute. It became common for those with a first degree in mathematics elsewhere to come to Cambridge to take part in the Tripos, as a second degree.From 1909
The reforms implemented in 1909 did much to dismantle the old Mathematical Tripos system. It continued as an examination (and a course).The influence persists. In Cambridge terms, it has done much to support the particular kind of mathematical approach of DAMTP. G. H. Hardy, one of those most responsible for the changes, was concerned in particular to assert the importance of pure mathematics. The undergraduate course of mathematics at Cambridge still reflects a historically-broad approach; and problem-solving skills are tested in examinations, though the setting of excessively taxing questions has been discouraged for many years.
Today, the mathematics undergraduate degree consists of Parts 1 and 2, with the idea of a third part of the Tripos living on in an especially difficult postgraduate qualification known as the Certificate for Advanced Studies in Mathematics.
References
- Masters of Theory: Cambridge and the Rise of Mathematical Physics (2003) Andrew Warwick, ISBN 0226873757
- Leonard Roth (1971) Old Cambridge Days, American Mathematical Monthly, 78, 223-236.
- John Gascoigne (1984) Mathematics and Meritocracy: The Emergence of the Cambridge Mathematical Tripos, Social Studies of Science, 14, 547-584.
- Nicholas Griffin; Albert C. Lewis (1990) Bertrand Russell's Mathematical Education, Notes and Records of the Royal Society of London, 44, 51-71.
- Christopher Stray (2001) The Shift from Oral to Written Examination: Cambridge and Oxford 1700–1900, Assessment in Education: Principles, Policy & Practice, 8, 33 - 50.
- A. R. Forsyth (1935) Old Tripos Days in Cambridge, Mathematical Gazette, 19, 162-179.
- Karl Pearson (1936) Old Tripos Days at Cambridge, as Seen from Another Viewpoint, Mathematical Gazette, 20, 27-36.
- J. J. Thomson Recollections and Reflections London : G. Bell, 1936.
- J. E. Littlewood A Mathematician's Miscellany (2nd edition published in 1986)Cambridge University Press.
See also
External links
To get some impression of the importantce of the Tripos in the history of mathematics in Britain search on "tripos" in For a mid-Victorian (1869) view of the Tripos and some data on the marks awarded see Francis Galton For statistics on the number of graduates (men and women) between 1882 and 1940 see For the present-day Tripos see- [Cambridge University: Guide to the Mathematical Tripos]
- [The Cambridge Maths faculty's site explaining the CASM]
- Nelson, Graham. ["Miss Warren’s Profession"] Eureka 51, 1992. Critique of Part III.
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