Examinations and Boards

Contents of this section:

[Note. An asterisk denotes a reference to a previously published or recurrent entry.]

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BOARD OF THE FACULTY OF MATHEMATICAL SCIENCES

Honour School of Mathematical Sciences 1999

The Board of the Faculty of Mathematical Sciences has approved the following list of papers for examination in Section o of the Honour School of Mathematical Sciences 1999 (see Examination Decrees, 1997, p. 280, regulation 3(e)).

Paper o3: Functional Programming and Algorithm Design (as specified for Section 4 of the Regulations for Honour Moderations in Mathematics and Computation). This course involves practical work. All candidates will be assessed as to their practical ability under the provisions laid down in the Regulations for Section 4 of Honour Moderations in Mathematics and Computation. Practical weight: one sixth. Paper of 2 hours 30 minutes. [This option is not available to candidates who have taken Honour Moderations in Mathematics and Computation.]

Paper o4: Imperative Programming (as specified for Paper I.1 of the Honour School of Computation). This course involves practical work according to provisions laid down in the Regulations for the Honour School of Computation. Practical weight: one sixth. Paper of 2 hours 30 minutes.

Paper o5: Algorithms and Complexity (as specified for Paper I.5 of the Honour School of Computation). No practical. Paper of 3 hours.

Paper o6: History of Philosophy from Descartes to Kant (Paper 101 of the Regulations for Philosophy in Some of the Honour Schools). No candidate will be permitted this option who is not offering Paper b1.

Paper o7: Metaphysics and Theory of Knowledge (Paper 102 of the Regulations for Philosophy in Some of the Honour Schools). No candidate will be permitted this option who is not offering Paper b1.

Paper o8: Philosophy of Mathematics (Paper 122 of the Regulations for Philosophy in Some of the Honour Schools). No candidate will be permitted this option who is not offering Paper b1.

Paper o9: Astronomy (as specified for Subject 9 of the Regulations of the Preliminary Examinations in Physical Sciences). There is no requirement for practical work with this course.

Paper o10: Mathematics and Finance

This paper will consist of three parts: Part I, Part II, and Part III. Candidates will be expected to show a knowledge of two of the three parts. In the examination four essay questions and two calculation questions will be set on Part I, four questions will be set on Part II and four questions on Part III.

Part I: Corporate Finance

Discounted cash flow and capital project appraisal methods. Portfolio theory, models of financial market equilibrium and implications for the cost of capital and divisional performance measurement. Financial market efficiency, methods of company finance, capital structure, with further implications for the cost of capital.

Part II: Mathematical Models of Financial Derivatives

Introduction to markets, assets, interest rates and present value; arbitrage and the law of one price; European call and options, payoff diagrams; other option strategies; Wiener processes as models for asset price movements; informal treatment of Ito's lemma; hedging and the Black-Scholes analysis, leading to the Black-Scholes partial differential equation for a derivative price-reduction to the heat equation; review of theory for the heat equation, explicit solution for call and put options; extensions to dividends paid on the asset, time-varying parameters; forward and future contracts, options on them; American options as free boundary problems and linear complementarity problems; weakly path-dependent options including lookbacks and asians. Simple treatment of stochastic interest rates and their derivatives.

Part III: Decision Mathematics

The theme is decision-making under conditions of uncertainty, when typically more than one decision has to be taken, later decisions depending on the outcome of earlier decisions. This will be explored in the contexts of, for example, investment decisions, insurance, choosing a job, searching for a hidden object, and planning industrial research.

The main mathematical tools are stochastic dynamic programming, allocation indices, and utility theory. Dynamic programming centres on a recurrence equation which expresses the fact that the first decision should be one which is optimal given that all later decisions are optimal. Allocation indices express priorities for different ways of allocating resources, and sometimes simplify the calculation of how to do so in an optimal way. Utility is a map onto a scale in terms of which (unlike a monetary scale) preferences between uncertain outcomes are measured by the expectation operator.

Paper 011: Mathematical Modelling and Applications

This paper will consist of Part I followed by an application course, Part II. Part I will provide a broad base of common techniques and simple applications and the applications courses will go into a particular area of application in more depth. The examination will have four questions on Part I and four questions on the course in Part II.

Part I: Introduction to Mathematical Modelling

The aim of the course is to develop and extend some of the theoretical ideas developed in the mainstream mathematics course and to show how they can be applied in simple modelling situations. The methods and models will be fully integrated so that each technique will be illustrated with at least one application.

Methods to be covered:

Modelling, nondimensionalisation, dimensional analysis, similarity solutions.

Asymptotic methods of solution for ordinary differential equations, regular and singular expansions, bifurcations, stability.

First order quasi-linear partial differential equations, travelling wave solutions, shocks.

Classification of second-order quasi-linear partial differential equations, well-posedness, linear and nonlinear diffusion equations, travelling waves, solutions with compact support, moving boundary problems.

Part II: Mathematics and the Environment

Applications of mathematics to environmental problems involving the use of models with ordinary differential equations, first order partial differential equations, and nonlinear diffusion equations. Examples to be considered will be taken from the following: (i) river flow; (ii) climate dynamics and ice ages; (iii) geomagnetic reversals of the earth's magnetic field; (iv) soil consolidation and groundwater flow; (v) snow melt run-off; (vi) surging ice sheets; (vii) glacier outburst floods (JÜkulhlaups).

Paper o12: Mathematics Education

This course is a study of processes and practices in learning and teaching mathematics and of associated issues. It will develop awareness of processes and issue in mathematical learning and understanding beneficial to the learning of mathematics, and will also service as an introduction to mathematics education as a discipline. It will have three strands: doing, thinking, and understanding mathematics; teaching mathematics and its relationship to issues in learning; wider issues in the learning and teaching of mathematics.

Mathematical Thinking: The nature of mathematics; The processes of mathematics; Conjecturing; Convincing and proving; Advanced mathematical thinking. Some issues in learning mathematics: Mathematics and language; Visualisation and imagery; Children and number; Strategies and errors. Psychology of Learning Mathematics: Types of understanding; Understanding, learning and knowing; Constructions of learning. Some issues in teaching mathematics: Teaching styles and interactive strategies; Constructions of teaching; Use of technology in teaching; Assessment. Sociology of Mathematics Teaching: The role of mathematics education in society; Gender, culture and social class. Oganisation of Mathematics Teaching and Learning: School curricula; Classroom learning.

Assessment

Assessment will take the form of a three-hour examination consisting of three essay-type questions each relating to one of the strands of the course. Preparation for two of these questions will be done in advance. All questions will be unseen. Graphical calculators may be used in the exam.

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CHANGES IN REGULATIONS

With the approval of the General Board, the following changes in regulations made by boards of faculties and the Standing Committee for Engineering and Materials will come into effect on 22 May.

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1 Board of the Faculty of Literae Humaniores

Philosophy in some of the Honour Schools

With effect from 1 October 1999 (for first examination in 2000)

1 In Examination Decrees, 1997, p. 463, ll.1–2, delete `REGULATIONS FOR PHILOSOPHY IN SOME OF THE HONOUR SCHOOLS' and substitute `REGULATIONS FOR PHILOSOPHY IN ALL HONOUR SCHOOLS INCLUDING PHILOSOPHY'.

2 Ibid, delete ll. 3–8.

3 Ibid, p. 463, l. 9, delete `Candidates offering Philosophy in any of these honour schools' and substitute `Candidates offering Philosophy papers* in any honour school'. Then insert a footnote:

`* The paper `History and Philosophy of Science', which is set as a supplementary subject in the Honour School of Natural Science, is not here counted as a Philosophy paper, since it is a joint paper in both History and Philosophy.'

4 Ibid, p. 463, l. 10, delete `for their particular school' and substitute `for their particular school, as specified elsewhere'.

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2 Boards of the Faculties of Literae Humaniores and Medieval and Modern Languages

(a) Honour School of Classics and Modern Languages

With effect from 1 October 1999 (for first examination in 2000)

In Examination Decrees, 1997, p. 154, l. 40, delete from `some', and substitute `all Honour Schools including Philosophy '.

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(b) Honour School of Philosophy and Modern Languages

With effect from 1 October 1999 (for first examination in 2000)

In Examination Decrees, 1997, p. 475, l. 20, delete from `some', and substitute `all Honour Schools including Philosophy'.

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3 Board of the Faculty of Law

Honour School of Jurisprudence

With effect from 1 October 1999 (for first examination in 2000)

In Examination Decrees, 1997, p. 243, ll. 7 and 8, delete `Some', and substitute `all'.

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4 Board of the Faculty of Literae Humaniores

Honour School of Literae Humaniores

With effect from 1 October 1999 (for first examination in 2000)

1 In Examination Decrees, 1997, p. 266, l. 6, delete from `some', and substitute `all Honour Schools including Philosophy'.

2 Ibid, p. 275, l. 4, delete from `some', and substitute `all Honour Schools including Philosophy'.

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5 Boards of the Faculties of Literae Humaniores and Mathematical Sciences

(a) Honour School of Mathematics and Philosophy

With effect from 1 October 1999 (for first examination in 2000)

1 In Examination Decrees, 1997, p. 304, ll. 6–7, 20, and 45, delete from `some', and substitute `all Honour Schools including Philosophy'.

2 Ibid, p.306, ll. 23 and 46 delete from `some', and substitute `all Honour Schools including Philosophy'.

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(b) Pass School of Mathematics and Philosophy

With effect from 1 October 1999 (for first examination in 2000)

In Examination Decrees, 1997, p. 307, l. 11, delete from `some', and substitute `all Honour Schools including Philosophy'.

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6 Board of the Faculty of Oriental Studies

Honour School of Oriental Studies

With effect from 1 October 1999 (for first examination in 2000)

1 In Examination Decrees, 1997, p. 443, l. 11, delete from `some', and substitute `all Honour Schools including Philosophy'.

2 Ibid, p. 457. l. 45, delete from `some', and substitute `all Honour Schools including Philosophy'.

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7 Board of the Faculty of Social Studies

Honour School of Philosophy, Politics, and Economics

With effect from 1 October 1999 (for first examination in 2000)

1 In Examination Decrees, 1997, p. 478, ll. 3, 11, 28, and 36, delete from `some', and substitute `all Honour Schools including Philosophy'.

2 Ibid, p. 480, l. 13, delete from `some', and substitute `all Honour Schools including Philosophy'.

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8 Boards of the Faculties of Literae Humaniores and Theology

Honour School of Philosophy and Theology

With effect from 1 October 1999 (for first examination in 2000)

In Examination Decrees, 1997, p. 493, l. 38, delete from `some', and substitute `all Honour Schools including Philosophy'.

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9 Boards of the Faculties of Literae Humaniores and Physical Sciences

(a) Honour School of Physics and Philosophy

With effect from 1 October 1999 (for first examination in 2000)

In Examination Decrees, 1997, p. 498, ll. 41 and 44, delete from `some', and substitute `all Honour Schools including Philosophy'.

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(b) Pass School of Physics and Philosophy

With effect from 1 October 1999 (for first examination in 2000)

In Examination Decrees, 1997, p. 499, ll. 24 and 32, delete from `some', and substitute `all Honour Schools including Philosophy'.

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10 Board of the Faculty of Psychological Studies

(a) Honour School of Psychology, Philosophy, and Physiology

With effect from 1 October 1999 (for first examination in 2000)

1 In Examination Decrees, 1997, p. 502, l. 15, delete from `some', and substitute `all Honour Schools including Philo-sophy '.

2 Ibid, p. 503, l. 49, delete from `some', and substitute `all Honour Schools including Philosophy'.

(b) Honour School of Experimental Psychology

With effect from 1 October 1999 (for first examination 2000)

In Examination Decrees, 1997, p. 221, l. 28, delete from `some', and substitute `all Honour Schools including Philosophy'.

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11 Board of the Faculty of Theology

Honour School of Theology

With effect from 1 October 1999 (for first examination in 2000)

1 In Examination Decrees, 1997, p. 520, delete ll. 10–13 and substitute:

`(9) The History and Theology of the Western Church 1050–1350

The paper will consist of questions on the thought of the leading theologians (especially Anselm, Peter Abelard, Aquinas, Duns Scotus, and William of Ockham), and of questions on the main developments in the western church. It will be so set that any period of 150 years, with its theological writers, will prove sufficient coverage.'

2 Ibid., p. 527, after l. 15, insert:

`(33) English church and Mission 597–754

Candidates will be expected to study the main lines of the history of the English Church in this period, and some aspects of its theology. There will also be an opportunity to study works of art. Candidates will be expected to have studied the texts in Group I, on which alone gobbets will be set, and in at least one of sections (a), (b), (c) in Group II.

Group I

Bede Ecclesiastical History of the English People, Preface, Bks I, 23–4; II; III; IV; V, 9–10, 19 (trans. L. Sherley-Price, revised R.E. Latham, with introduction and notes by D.H. Farmer, Penguin Classics, 1990) pp. 41–3, 72–265, 278–82, 300–06.

Bede's Letter to Egbert, trans. D.H. Farmer, ibid., pp. 337–51. Bede: On the Temple, trans. S. Connolly, in J. O'Reilly (Liverpool University Press: Translated Texts for Historians 21, 1995), Prologue and Book I to I, 8.4, pp. 1–33; Book II, 18.8 to 20.9, pp. 76–100.

Eddius Stephanus, Life of Wilfrid in The Age of Bede (ed. D.H. Farmer, trans. J. Webb, Penguin Classics 1988), pp. 105–82.

`The Dream of the Rood', in A Choice of Anglo-Saxon Verse, ed. and trans. R. Hamer (Faber 1970), pp. 161–71.

Group II

(a) Adomnan of Iona, Life of St Columba, ed. and trans. R. Sharpe (Penguin Classics, 1995).

(b) Bede, Life of Cuthbert in The Age of Bede (Penguin Classics, 1988), pp. 41–102.

Bede, Lives of the Abbots of Wearmouth and Jarrow, ibid., pp. 185–208.

Bede's Homily on the Gospel for the Feast of St Benedict Biscop, in Bede, Homilies on the Gospels, trans. L.T. Martin and D. Hurst, Preface by B. Ward (Cistercian Studies Series, 110, 1991), pp. 125–32.

Letters of Aldhelm, in Aldhelm, The Prose Works, trans. M. Lapidge and M. Herren (Boydell and Brewer, 1979), pp. 152–70.

(c) Willibald's Life of St Boniface and The Correspondence of St Boniface, in C.H. Talbot, The Anglo-Saxon Missionaries in Germany (Stead and Ward, 1954), pp. 25–62, 65–149.'

3 Ibid., l. 16, renumber existing (33) as (34).

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12 Standing Committee for Engineering and Materials

Honour School of Engineering and Materials

(i) With effect from 1 October 1998 (for first Part I examination in 1999)

1 In Examination Decrees, 1997, p. 191, after l. 17 insert:

`In the assessment of paper A6 the examiners shall take into consideration failure of a candidate to complete the practical work to a level prescribed from time to time by the Sub-faculty of Engineering Science.'

2 Ibid., l. 19, delete `papers A6 and'.

3 Ibid., ll. 19–20, delete `Practical work reports taken . . . written paper.'.

4 Ibid., ll. 20–4, delete from `Practical work . . .' to `. . . takes place.' and substitute:

`Such reports should be submitted to the Chairman of Examiners in the Honour School of Engineering and Materials, c/o Clerk of the Schools, Examination Schools, High Street, Oxford by 5 p.m. on the Friday of the seventh week of the Trinity Full Term in which the Part I examination takes place.' 5 Ibid., l. 35, delete `, A6' and after line 43 insert:

`A6: Engineering Practical Work: as specified in the Honour School of Engineering Science omitting control and computer architecture [From 1 October 1999 for first Part I examination in 2000: materials]'.

(ii) With effect from 1 October 1998 (for first Part II examination in 1999)

In Examination Decrees, 1997, delete p. 192, ll. 13–15 and substitute:

`SME1 Materials Processing
SME2 Advanced Structural Materials
SME3 Design and Performance'.

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DEGREE OF DOCTOR OF LETTERS

The Board of the Faculty of English Language and Literature has granted leave to A. THWAITE, St Hilda's, to supplicate for the Degree of Doctor of Letters.

A list of the evidence submitted by the candidate is available at the University Offices.

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EXAMINATIONS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY

The examiners appointed by the following faculty boards give notice of oral examination of their candidates as follows:

Biological Sciences

P. VICKERMAN, Lady Margaret Hall: `A mathematical framework for melding the intra and inter host dynamics of visceral leishmaniasis'.
Department of Zoology, Tuesday, 2 June, 2 p.m.
Examiners: M.A. Nowak, G.F. Medley.

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Law

K. MAGLIVERAS, Exeter: `Exclusion from participation in international organisations: the theory and practice behind member states' expulsion and suspension of membership'.
Wolfson, Wednesday, 10 June, 2.30 p.m.
Examiners: G.S. Goodwin-Gill, N.D. White.

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Modern History

J.D. MUSTON, Brasenose: `The end of exceptionalism in the foreign affairs debate? The resistance to inter- nationalism in the United States Senate, 1944–52'.
Nuffield, Friday, 15 May, 2.15 p.m.
Examiners: S.M.Gillon, J. Thompson.

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Physical Sciences

XIANHUA WAN, St Catherine's: `Dendritic growth'.
Department of Materials, Thursday, 14 May, 11 a.m.
Examiners: K.A.Q. O'Reilly, D.G. McCartney.

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Social Studies

L. SONG, Wolfson: `Rural–urban labour migration in China: the institutional framework, incentives, determinants, and processes'.
St Antony's, Friday, 22 May, 2 p.m.
Examiners: C.Z. Lin, S. Feuchtwang.

M.T. TJIRONGO, St Antony's: `Exchange rate policy options for Namibia'.
Institute of Economics and Statistics, Friday, 8 May, 2.30 p.m.
Examiners: D. Fielding, L. Harris.

R. YEP, Nuffield: `The rise of rural entrepreneurs and the changing state–society relationship in post-Mao China'.
Institute for Chinese Studies,Thursday, 14 May, 2 p.m.
Examiners: F.N. Pieke, D.S. Goodman.

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EXAMINATION FOR THE DEGREE OF MASTER OF LETTERS

The examiners appointed by the following faculty board give notice of oral examination of their candidate as follows:

Modern History

A. CRISP, Worcester: `The owner-occupied working-class house of the 1930s'.
Worcester, Wednesday, 13 May, 2.15 p.m.
Examiners: J. Stevenson, P. Scott.

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