INTRODUCTORY
For those who are interested primarily in the principles and uses of mathe- matics and mathematical methods Pure Mathematics Part I is the basic course;
but for those whose formal mathematical studies are likely to be confined to one 88
year, General Mathematics is an alternative providing a somewhat wider and more superficial cover.
Tutorial Classes will be held in Pure Mathematics Part I and General Mathematics, Practice Classes in Pure Mathematics II and III. Tutorial Classes will be held in Applied Mathematics Part I, and Practice Classes in Applied Mathematics Parts II and III. The work done in the Practice Classes will carry some weight in the Annual Examinations.
EXTERNAL STUDIES. Candidates for any of Pure Mathematics Part I, II and Applied Mathematics Parts I, II, by external study, will be supplied with a full synopsis of the appropriate course, with detailed references to text-books.
They will be supplied also with sheets of Practice Examples, and, in certain subjects with typed notes on isolated topics. They may submit examples for cor- rection and may consult the appropriate Lecturer or Professor as to points of difficulty which they encounter in their studies, but apart from this they cannot be given detailed tuition.
Entries for external study in the above subjects at the Honours Staпдarд or in Pure or Applied Mathematics Part III or in General Mathematics will not be accepted.
VACATION READING
Students are expected to read " (especially during the summer vacations) substantial portions of at least two of the books listed under "Preliminary Reading"
for the several subjects. Many of the books are available in paperback editions.
In addition, attention is called to the following books on the history of mathe- matics.
Struik, D. J.
—
Concise History of Mathematics. (Dover.) Turnbull, H.W.
—The
Great Mathematicians. (Methuen.) Bell, E. T.—
Men of Mathematics. (Pelican.)Sartori,
G. History
of Mathematics. (Dover.) Hooper,A.—Makers
of Mathematics. (Faber.)Van der Waerden, B.
L.-Science
Awakening. (Groningen.) Dantzig, T.—
Bequest of the Greeks. (Allen & Unwin.) Boyer, C.B. History
of the Calculus. (Dover.)ORDINARY DEGREE
A typical pass degree course in Mathematics consists of:
First Year.
Pure Mathematics I Applied Mathematics I Physics I
One subject from Group I (excluding General Mathematics), e.g. Chemistry IA or IB or Biology.
Second Year.
Pure Mathematics II Applied Mathematics II
One of : Theory of Statistics I, Theory of Computation I, Physics II or IIT, Chemistry IIC.
Third Year.
Pure Mathematics III
Applied Mathematics III or Theory of Statistics II And not more than one other subject from Group II
or
Pure Mathematics III (Honours) and one of the following subjects :
Applied Mathematics III (Honours) Theory of Statistics II (Honours) A Science Language is also required.
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HONOURS DEGREE
I. The course for B.Sc. with honours in Mathematics covers four years, during which the following subjects must be taken (at Honours level) ;
Pure Mathematics Parts I, II, III, IV Applied Mathematics Parts I, II, III, IV.
An honours course would normally consist of:
First Year.
Pure Mathematics part I Applied Mathematics part I Physics I
One other Group I subject (excluding General Mathematics and Principles of Statistics) e.g. Chemistry part IA, Biology.
Second Year.
Pure Mathematics part II (Honours) Applied Mathematics part II (Honours) one of: Theory of Statistics part I (Honours)
Physics II Third Year.
Pure Mathematics part III (Honours) Applied Mathematics part III (Honours) Fourth Year.
Pure Mathematics IV (Honours) Applied Mathematics IV (Honours) Thesis
A Science Language is also required.
Tutorial classes are held in the earlier years only. Students are expected to do reading and exercises related tp the lectures throughout the course, and the work so done each year may be taken into account in the examinations. The fol- lowing provisions, so far as they are relevant, apply also to combined Honours courses which include Mathematics.
2. Students proposing to take the Second Year of the Honours School of Mathematics should normally have obtained at least second class honours in Pure Mathematics I and Applied Mathematics I. In exceptional circumstances students may be admitted without these qualifications ; if admitted, they will be advised what reading to undertake in the long vacation.
3. In the Fourth Year, candidates will carry out, under direction, a study of a special topic in Pure or Applied Mathematics involving the reading and collation of the relevant mathematical literature, and will present a thesis embodying this work. The topic will be chosen, in consultation with the staff of the department, at or before the beginning of the first term, and the thesis will be presented not later than the beginning of the third term. The thesis will be taken into account in determining the class list for the final examination.
4. The examinations in Pure Mathematics part III and Applied Mathematics part III (two papers in each), held at the end of the Third Year, will count as the first section of the final examination. The second section of this examination, held at the end of the Fourth Year, will cover the work of that year (two papers in each of Pure and Applied Mathematics part IV), and will include also two general papers. The results in both sections will be taken into account in determining the class list.
5. At the final examination the Wyselaskie Scholarship of $346 in Mathematics is awarded. This award may be held in conjunction with a University research grant. Normally the Wyselaskie scholar will be required to pursue study or research in Mathematics or some other subject. See Calendar, regulation 6.7.
6. Students are advised that there is a B.A. (Honours) course in Mathematics, for those who prefer to replace the optional first year subjects by subjects from the humanities. For details, refer to the Arts Faculty Handbook.
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7. The Professor Wilson Prize and the Professor Nanson Prize are awarded in alternate years £or the best original memoir in Pure or Applied Mathematics.
Candidates must be graduates of not more than seven years' standing from Matri- culation. See regulation 6.72 (2) and (14) in the University Calendar.
DETAILS OF SUBJECTS
For syllabus details and book lists see under subjects listed alphabetically.