- *BOARD OF THE FACULTY OF MATHEMATICAL SCIENCES
- *BOARD OF THE FACULTY OF MEDIEVAL AND MODERN LANGUAGES
- *BOARD OF THE FACULTY OF MODERN HISTORY
- *BOARD OF THE FACULTY OF PHYSIOLOGICAL SCIENCES
- BOARD OF THE FACULTY OF BIOLOGICAL SCIENCES
- BOARD OF THE FACULTY OF MATHEMATICAL SCIENCES
- BOARDS OF THE FACULTIES OF PHYSIOLOGICAL SCIENCES AND PSYCHOLOGICAL STUDIES
- SUB-FACULTY OF PHYSICS
- JOINT COMMITTEE FOR PHYSICS AND PHILOSOPHY
- STANDING COMMITTEE FOR THE M.SC. IN COMPUTATION
- CHANGES IN REGULATIONS
- DEGREE OF DOCTOR OF DIVINITY
- DEGREE OF DOCTOR OF MEDICINE
- EXAMINATIONS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY
- EXAMINATION FOR THE DEGREE OF MASTER OF SCIENCE

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Nominations in writing by two electors will be received by the Secretary of Faculties at the University Offices up to 4 p.m. on Monday, 30 June, and nominations by six electors up to 4 p.m. on Tuesday, 15 July.

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Research in Animal Behaviour

Research in Cell and Developmental Biology

Research in Ecology and Conservation of Biodiversity

Research in Mathematical Biology

Research in Ornithology

With effect from 1 October 1997, candidates will be required to submit practical notebooks for all the courses and to show advanced knowledge of three of the approved subjects, by submitting three extended essays on topics approved by the course organisers, in addition to submission of a practical notebook and an extended essay relating to the Techniques of Molecular Biology course.

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For 1997–8 the Organising Committee has approved the following submission dates:

Two copies of the essay relating to the Techniques in Molecular Biology course and the practical notebooks relating to the Techniques in Molecular Biology Course and the first of the Research in the Biosciences courses must be submitted by 12 noon on Friday, 9 January 1998.

Two copies of the second essay and the practical notebooks relating to the second and third of the Research in the Biosciences courses must be submitted by 12 noon on Friday, 3 April 1998.

Two copies of the dissertation on the first research project must be submitted by 12 noon on Friday, 24 April 1998.

The practical notebooks relating to the fourth and fifth of the Research in the Biosciences courses must be submitted by 12 noon on Friday, 10 July 1998.

Two copies each of the third and fourth essays must be submitted by 12 noon on Friday, 21 August 1998.

Two copies of the dissertation on the second research project must be submitted by 12 noon on Friday, 11 September 1998.

Each submission must be accompanied by a certificate signed by the candidate indicating that it is the candidate's own work, except where specifically acknowledged.

The submissions must be sent to the Chairman of Examiners, M.Sc. in Biology, c/o the Clerk of the Schools, Examination Schools, High Street, Oxford OX1 4BG.

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**1** Doing, thinking, and understanding
mathematics: this involves reflection on processes and strategies
which are a part of mathematical learning. What is
mathematics? will be overtly addressed as will theories
of learning and learning difficulties. Links will be made with
undergraduates' own learning of mathematics.

**2** Teaching mathematics and its relationship
to issues in learning: being an able mathematician is not, by
itself, sufficient to guarantee being an effective teacher of
mathematics, nor an effective unsupported learner of further
mathematics. Mathematical pedagogy will be introduced through an
analysis of mathematical topics and the needs of learners in
coming to understand these topics. We shall draw on research into
the learning and teaching of mathematics at all levels.

**3** Wider issues in the learning and teaching
of mathematics: this strand will explore a range of issues in
mathematics education: for example social and cultural issues and
the roles of technology.

Outline of topics to be covered:

Mathematical Thinking: the nature of mathematics; the process of
mathematics; convincing and proving; conjecturing; advanced
mathematical thinking.

Mathematical Understanding: mathematics and language;
visualisation and imagery; children and number; strategies and
errors.

Psychology of Learning Mathematics: relational and instrumental
understandings; understanding, learning, and knowing;
constructivism.

Research in Mathematics Teaching: teaching styles and interactive
strategies; constructions of teaching; assessment.

Sociology of Mathematics Teaching: social constructivism and
situated cognition; gender, culture, and social class.

Organisation of Mathematics Teaching and Learning: school
curricula; classroom learning.

The examination will consist of a three-hour paper with 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.

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Algebraic Topology

Further Quantum Theory

General Relativity I

General Relativity II

Quantum Field Theory

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Group Theory

Lie Algebras

Elementary Number Theory

Lattice Theory

Analytic Topology

Representation Theory

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General Topology

Gödel's Incompleteness Theorems

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Domain Theory

Parallel Algorithms

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Unifying Theories of Computation

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Complexity and Cryptography

Communication Theory

Combinatorial Optimisation

Computational Algebra

Computational Number Theory

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Thirteen lectures and associated practicals/demonstrations.

Structure and function of membranes

Varieties of ion channels

Synaptic transmission

Synaptic modifiability

Fourteen lectures and associated practicals/demonstrations.

Recording and monitoring neuronal activity

Direct manipulation of the brain

Cortical microcircuitry

Field potentials in health and disease

Fourteen lectures and associated practicals/demonstrations.

Neuroanatomical techniques

Techniques for functional localisation

Structural imaging

Functional imaging

Twelve lectures and associated practicals/demonstrations.

Sensory systems analysis

Sensory psychophysics

Artificial vision

Eighteen lectures and associated practicals/demonstrations.

The development and application of animal models

Consciousness and cognition

Non-affective neurological disorders

Eleven lectures and associated practicals.

Neurocomputing

Connectionist approaches to cognitive function: two-day workshop

Eight lectures and associated practicals/demonstrations.

Early development

Formation of a nervous system

Development of sense organs

Fifteen lectures and associated practicals/demonstrations.

Axonal growth

Establishing connections between neuronal populations

The modifiability of the brain

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Candidates shall submit their practical accounts and daybooks to the Chairman of the Examiners of the Final Honour School of Natural Science (Physics), or deputy, at the Department of Physics, not later than noon on Friday of Week 3 of Hilary Term 1999.

Apart from the mathematical questions on sects. (5a) and (5b) emphasis in the papers on the Fundamental Principles of Physics will be placed on testing the candidates' conceptual and experimental understanding of the subjects.

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Boltzmann, Fermi-Dirac and Bose Einstein distributions with simple applications. Black body radiation. Partition function and its relation to thermodynamic functions; application to the rotational and vibrational contributions to the heat capacity of diatomic gases.

Thermal waves in solids and thermal conductivity as a boundary value problem in one space dimension.

First and second laws of thermodynamics. Equations of state, thermodynamic properties of pure substances. Thermodynamic functions, their significance and use. First-order phase changes.

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Fraunhofer diffraction and interference by wavefront division. Telescopes, microscopes, grating spectrometers, resolution limits, Abbé theory (qualitative). Two beam interference and applications of the Michelson interferometer. Multiple beam interference and the Fabry-Perot etalon. Polarization and the optics of uniaxial crystals.

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Particle and wave properties of photons and matter. Simple treatment of atomic spectra, fine structure, Zeeman effect. Selection rules for electric dipole radiation. Periodic table. X-ray spectra in emission and absorption. Einstein A and B coefficients. Simple treatment of the hyperfine structure of atoms in the absence of external fields.

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Magnetic properties of solids including paramagnetism and mean field theory of ferromagnetism. Simple ideas of superconductivity. Elementary treatment of magnetic resonance phenomena.

The dc and small signal analysis of circuits containing junction diodes and one or two bipolar transistors. (High frequency effects in semiconductor devices are excluded.) Ideal operational amplifiers and their use with negative feedback in linear amplifiers, integrators, differentiators and summing circuits. Use of ideal operational amplifiers with positive feedback in oscillator and Schmitt trigger circuits.

Truth tables and Boolean algebra. Design of simple combinational logic circuits using ideal gates. The properties of ideal S-R, D-type and J-K flip-flops. Analysis of simple sequential circuits including counter and shift register circuits.

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The semi-empirical mass formula and nuclear stability. Radioactivity; simple applications. The single-particle shell model; spin and parity. Cross sections and qualitative treatment of resonances. The basic elements of energy generation in fission reactors and stars. The interaction of charged particles and photons with matter: ionisation energy loss, the Compton and photoelectric effect, pair-production and bremmstrahlung; the basic methods used in the detection of particles and radiation. Elementary properties of hadrons and leptons; the production and decay of particles; quark flow diagrams. The quark model; spin, parity and charge of hadrons; the quark flavours; heavy quark-antiquark systems. The fundamental interactions; concept of virtual particle exchange; conservation laws and coupling constants. Simple theory of Fermi beta decay and simple applications to particle and nuclear beta decay; effects of kinematics on decay rates. Parity violation in weak interactions. The W and Z bosons.

(*a*) Matrices and linear transformations, including
translations and rotations in three dimensions and Lorentz
transformations in four dimensions. Eigenvalues and eigenvectors
of real symmetric matrices and of Hermitian matrices.
Diagonalization of real symmetric matrices with distinct
eigenvalues.

(*b*) Eigenvalues and eigenfunctions of second-order
linear ordinary differential equations of the Sturm-Liouville
type; simple examples of orthogonality of eigenfunctions
belonging to different eigenvalues; simple eigenfunction
expansions. The method of separation of variables in linear
partial differential equations in three and four variables. Use
of Cartesian, spherical polar and cylindrical polar coordinates
(proofs of the form of [inverse delta squared] will not be
required). Elementary treatment of series solutions of linear,
homogeneous second order differential equations, including
solutions which terminate as a finite polynomial. (Formal
questions of convergence are excluded, as is the method of
Frobenius for obtaining a second solution containing a
logarithmic function in the case in which the roots of the
indicial equation differ by an integer.)

(*c*) Simple physical applications of the following
topics. (The physics will be restricted to topics occurring
elsewhere in the syllabus.) Wave packets, phase and group
velocity; the bandwidth theorems and uncertainty relations; the
formulae for the Fourier transform and its inverse and for
Fourier sine and cosine transforms and their inverses.
Convolution. (All transforms are restricted to one dimension
only. The use of transforms in solving ordinary and partial
differential equations and the use of contour integration are
excluded.)

One question may be set on each of the mathematical topics of sects. (5a) and (5b) and incidental use may be required on any paper of the material of sect. (5c).

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An equal number of questions will be set on each of the sections, A, B and C. Candidates replacing four days of practical work will be required to answer two questions in one and a half hours. Candidates replacing eight days of practical work will be required to answer four questions from at least two sections in three hours.

At the time of entering the examination candidates intending to offer a paper on theoretical physics must give notice of their intention and must state whether that paper will replace four or eight days of practical work.

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Candidates will be required to answer two questions from any one section, each section being set on the following separate topics. Such background knowledge as is required for the study of the topic will be assumed.

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Lasers in fundamental research.

Optical fibres and laser communication systems.

Medical, engineering and industrial applications of lasers.

Application of lasers to environmental monitoring.

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Digital Electronics: Combinational logic and sequential logic. Programmable logic. Registers, data transfer, the microprocessor. Codes, error detection and correction. Sampling. Analogue to digital interface.

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Ions and electrical signalling in biology: properties of ions in solution; sizes, charges, hydration, mobility and diffusion, counterions and Debye screening, the proton as an ion, pK and pH. Charged membranes; Debye layer, the membrane as an ion barrier. Ion channels; counterports and pumps; structures of channels. Signal transmission; simple explanation of the action potential in nerve.

Physical techniques: x-ray diffraction including a case study of a protein structure; magnetic resonance (MRI) imaging of living systems; new types of scanning microscopy to directly image molecules.

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Apart from the mathematical questions on sects. (iii.a) and (iii.b) emphasis in the papers on the Fundamental Principles of Physics will be placed on testing the candidates' conceptual and experimental understanding of the subjects.

Four questions will be set on each of the Sections, A and B. Candidates will be required to answer four questions not all from one of the sections labelled A, B.

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Particle and wave properties of photons and matter. Simple treatment of atomic spectra, fine structure, Zeeman effect. Selection rules for electric dipole radiation. Periodic table. X-ray spectra in emission and absorption. Einstein A and B coefficients. Simple treatment of the hyperfine structure of atoms in the absence of external fields.

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The semi-empirical mass formula and nuclear stability. Radioactivity; simple applications. The single-particle shell model; spin and parity. Cross sections and qualitative treatment of resonances. The basic elements of energy generation in fission reactors and stars. The interaction of radiation with matter and the basic methods used in the detection of particles and radiation. Elementary properties of hadrons and leptons; the production and decay of particles. The quark model; spin, parity and charge of hadrons; the quark flavours; charmonium. The fundamental interactions; concept of virtual particle exchange; selection rules and coupling constants. Simple theory of Fermi beta decay and simple applications to particle and nuclear beta decay; effects of kinematics on decay rates. Parity violation in weak interactions. The W and Z bosons.

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(*a*) Matrices and linear transformations, including
translations and rotations in three dimensions and Lorentz
transformations in four dimensions. Eigenvalues and eigenvectors
of real symmetric matrices and of Hermitian matrices.
Diagonalization of real symmetric matrices with distinct
eigenvalues.

(*b*) Eigenvalues and eigenfunctions of second-order
linear ordinary differential equations of the Sturm-Liouville
type; simple examples of orthogonality of eigenfunctions
belonging to different eigenvalues; simple eigenfunction
expansions. The method of separation of variables in linear
partial differential equations in three and four variables. Use
of Cartesian, spherical polar and cylindrical polar co-ordinates
(proofs of the form of [inverse delta squared] will not be
required). Elementary treatment of series solutions of linear,
homogeneous second order differential equations, including
solutions which terminate as a finite polynomial. (Formal
questions of convergence are excluded, as is the method of
Frobenius for obtaining a second solution containing a
logarithmic function in the case in which the roots of the
indicial equation differ by an integer.)

(*c*) Simple physical applications of the following
topics. (The physics will be restricted to topics occurring
elsewhere in the syllabus.) Wave packets, phase and group
velocity; the bandwidth theorems and uncertainty relations; the
formulae for the Fourier transform and its inverse and for
Fourier sine and cosine transforms and their inverses.
Convolution. (All transforms are restricted to one dimension
only. The use of transforms in solving ordinary and partial
differential equations and the use of contour integration are
excluded.)

One question may be set on each of the mathematical topics of sects. (iii.a) and (iii.b) and incidental use may be required on any paper of the material of sect. (iii.c).

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Introduction to Imperative Programming

Introduction to Concurrency

Introduction to Functional Programming

Introduction to Numerical Computation

Introduction to Architecture

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Specification Methods

Requirements Engineering

Object-Oriented Programming

Parallel Scientific Computation or Scalable Parallel Algorithms

Advanced Concurrency Tools

Machine-assisted Software Engineering

Operating Systems

Compilers

Theorem Proving

Application-oriented Program Semantics

Critical Systems Engineering

Advanced Software Development

Architecture

Software Testing

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`6. The examiners may award a distinction for excellence in the whole examination.'

`(*b*) The course will consist of four subjects as follows:

**2** Ibid., p. 911, delete ll. 25–31.

**3** Ibid., l. 35, delete `diploma'.

**4** Ibid., l. 36, after `examiners' insert `c/o
Registry,'.

**5** Ibid., l. 37, delete `Michaelmas' and
substitute `Hilary'.

**6** Ibid., l. 38, after `his' insert `or her'.

**7** Ibid., l. 40, after `his' insert `or her'.

**8** Ibid., l. 41, delete `Two' and substitute `Not
more than two'.

**9** Ibid., delete ll. 42–9 and substitute:
`Continuous assessment by persons appointed by the board of studies.
The final assessment will be based on at least one exercise in each
of the four subjects to be submitted by noon on Friday of the third
week in Trinity Term of the second year of study.'

**10** Ibid., after l. 50 insert: `The examiners may
award a distinction to candidates for the Diploma.'

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

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The evidence submitted by the candidate was entitled: `The assessment and significance of lower urinary tract symptoms in men with benign prostatic enlargement—a reappraisal'.

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School of Geography, Monday, 23 June, 11 a.m.

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Balliol, Friday, 27 June, 2.15 p.m.

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Christ Church, Wednesday, 23 July, 2.15 p.m.

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Computing Laboratory, Monday, 30 June, 11 a.m.

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St John's, Friday, 4 July, 2 p.m.

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Examination Schools, Tuesday, 24 June, 10 a.m.

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Department of Engineering Science, Monday, 23 June, 2.15 p.m.

O.W. KINGSBURY, St John's: `The inhibition of cysteine
proteinases'.

Dyson Perrins Laboratory, Monday, 23 June, 11 a.m.

*Examiners*: M.M. Campbell, C.J. Schofield.

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St Hugh's, Monday, 14 July, 2 p.m.

C. CARDY, Lincoln: `The structure and function of calcium binding
epidermal growth factor-like domains in human fibrillin-1'.

Institute of Molecular Medicine, Tuesday, 15 July, 11 a.m.

*Examiners*: B.C. Sykes, M. Grant.

Nissan Institute, Wednesday, 25 June, 11 a.m.

B.W. SETSER, University: `Slaying sacred cows: sources of policy
change in United States/European Union negotiations over agricultural
policy and audiovisual services'.

Nuffield, Tuesday, 8 July, 2 p.m.

*Examiners*: A.J. Hurrell, M. Smith.

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Mathematical Institute, Thursday, 26 June, 2 p.m.