Five alternative programmes are available, each comprising compulsory courses and op.lions. Students must complete satisfactorily one reading course
and the equivalent of 12 topics, a topic consisting of a course of three
r
lectures a week for one term together with the prescribed tutorial work. A course of less than three lectures is counted pro rata. In exceptional cases students may, with the permission of the Board, be permitted to take additional topics.
Students must have their choice of optional courses approved by the Profes- sor responsible for the coordination of undergraduate teaching, who may in certain cases refer their programmes to the Board for final approval. For the purposes of this regulation a Part I course is counted as three topics, while a full Part II or Part III Arts course is counted as four topics. The course in foundations of educational theory A (300) is counted as two topics.
MIO PURE MATHEMATICS
This Programme leads to the Ordinary Degree of Bachelor of Arts or Bachelor of Science, and to Honours work in Pure Mathematics. Entry into this Programme is restricted to students who have achieved a sufficiently high standard in Programme Ml or P3.
COMPULSORY COURSES:
422 Reading course MIO 423 Logic and set theory 424 Group theory 425 Ring theory 426 Topology
427 Complex analysis A 428 Fourier analysis 429 Differentiable manifolds 431 Integration theory
415 *Classical differential geometry
OPTIONAL COURSES:
Three of four* topics, or the equivalent, selected from courses, including Part II, Part III and Part IV courses given within the School of Mathematics, or of any other School.
Mii STATISTICS
This programme leads to the Ordinary Degree of Bachelor of Arts or Bachelor of Science, and to Honours work in Statistics. Entry into the Programme is restricted to those students who have achieved a sufficiently high standard in the Programme Ml or P3.
COMPULSORY COURSES:
439 Reading course Ml I
427 Complex analysis A or 475 Complex analysis B 432 Random variables
433 Stochastic processes I 434 Stochastic processes II 435 Statistical inference I 436 Statistical inference II 437 Statistical inference III
OPTIONAL COURSES:
Students who have taken both 433 Stochastic processes I and 434 Stochastic processes II in Part II will select seven further topics; students· who have
o Students who have taken 415 Classical differential geometry in Part II, will select four topics, while those including it in Part III will select three topics.
STATUTES taken 433 Stochastic processes I in Part II will select six further topics; other students will require five topics (not already completed in Part II). A maximum of four topics (or their equivalent) may be selected from courses given in another School. The following topics best complement the com- pulsory courses of this programme.
470 Linear programming 421 Combinatorial analysis 424 Group theory
428 Fourier analysis 431 Integration theory
440 Partial differential equations I 441 Partial differential equations II 485 Calculus of variations
202 Economics IIA (4 topics) 204 Economics IIIA (4 topics)
300 Foundations of educational theory A (2 topics) Ml2 MATHEMATICS
This Programme normally leads to a general Ordinary Degree of Bachelor of Arts or Bachelor of Science in Mathematics. Students completing this Programme at a sufficiently high level •may be admitted to a special Pro- gramme to qualify them for the Honours degree in either one or two more years, according to circumstances. Entry into the Programme is restricted to students who have satisfactorily completed Programmes Ml, P3 or B4.
COMPULSORY COURSES:
438 Reading course Ml2
413 Matrix theory (if not previously completed) OPTIONAL CoURSES:
Three topics to be selected from:
41 l Real analysis
427 Complex analysis A or 475 Complex analysis B 440 Partial differential equations I
441 Partial differential equations II 442 Partial differential equations III One topic to be selected from:
414 Vector spaces
415 Classical differential geometry 423 Logic and set theory
424 Group theory 425 Ring theory
Three topics to be selected from:
421 Combinatorial analysis 433 Stochastic processes I 4 70 Linear programming 461 Numerical analysis I 462 Numerical analysis II 466 Classical mechanics 471 Analytical mechanics
Additional topics selected from courses given within the School of Mathe- matics, or of any other School.
STATUTES
M20 APPLIED MATHEMATICS (Physical Sciences Option)
This programme leads to the Ordinary Degree of Bachelor of Arts or Bachelor of Science, and to Honours work in Applied Mathematics with specialisation towards the Physical Sciences and Mechanics. Entry into the Programme is restricted to students who have achieved a sufficiently high standard in Programmes Ml, P3 or B4.
COMPULSORY COURSES:
481 Reading course M20, M21
427 Complex analysis A or 475 Complex analysis B 440 Partial differential equations I
441 Partial differential equations II 442 Partial differential equations III 4 77 Analytical mechanics
478 Continuum mechanics 485 Calculus of variations 428 Fourier analysis OPTIONAL COURSES:
Additional topics to be chosen from those available in the School of Mathematical Sciences or the School of Physical Sciences; or other courses as may be approved. It is recommended that the Part IV course 483 Introduction to astrophysics be included.
M21 APPLIED MATHEMATICS (Numerical Analysis Option)
This Programme leads to the Ordinary Degree of Bachelor of Arts or Bachelor of Science, and to Honours work in Applied Mathematics with specialisation towards Numerical Analysis. Entry into the Programme is restricted to students who have achieved a sufficiently high standard in Programmes Ml, P3 or B4.
COMPULSORY COURSES:
481 Reading course M20, M21
427 Complex analysis A or 475 Complex analysis B 467 Numerical solutions of differential equations 469 Numerical solutions of eigenvalue problems 4 70 Linear programming
440 Partial differential equations I 441 Partial differential equations II 442 Partial differential equations III 428 Fourier analysis
OPTIONAL COURSES:
Additional topics to be chosen from those available in the School of Mathematical Sciences, or the School of Physical Sciences or other courses as may be approved.
Appendix C
For the purpose of Clause 4 of Schedule 5, the Council on the recommen- dation of the Board of the School of Physical Sciences has approved the following courses with\n the Programmes:
106
STATUTES
PART II PROGRAMMES