## Mathematics Part B

### Second Notice to Candidates

This circular contains information about:

- the marking of papers in Part B. This is in addition to the information about marking and classification contained in the First Notice to Candidates which was sent out in November.
- publication of a marks distribution table;
- the use of calculators and tables.

A Third Notice will be sent out later with information about the examination timetable and practical arrangements in the Examination Schools, including examination numbers, handing in of scripts and so on.

Michael Vaughan-Lee

Chairman of Examiners

Mathematical Institute

March 2005

### FHS 2005 Mathematics Part B

#### Mathematics papers B1 - B10

These are whole unit papers, and each contains four questions on Michaelmas Term work and four questions on Hilary Term work. Most of these papers can also be taken as half unit papers either on Michaelmas Term work (four questions) or on Hilary Term work (four questions). Each question is marked out of 25.

The whole unit papers last for 3 hours, and the rubric states "Submit answers to a maximum of five questions. Submit at least one answer in each section (half-unit) of the paper. The best answer in each section will count, along with the best two of the remaining answers".

The half unit papers last for 1 3/4 hours, and the rubric states "Submit answers to a maximum of three questions. The best two answers will be counted".

#### Mathematics papers B11 - B14

These are half unit papers, and each contains four questions. Each question is marked out of 25. The papers last for 1 3/4 hours, and the rubric states "Submit answers to a maximum of three questions. The best two answers will be counted".

#### BE Extended Essay in Mathematics (whole unit)

USM marks will be assigned to Extended Essays with the same meaning as regards class boundaries as in the Mathematics papers. In arriving at these marks, the relative weights attached to content, mathematics and presentation will be 1/4, 1/2 and 1/4, respectively.

The attention of candidates is drawn to the requirement to submit their own original work and to complete a certificate of originality when submitting their essays. Passages quoted or closely paraphrased from another person's work must be identified as quotations or paraphrases, and the source of the quoted or paraphrased material must be clearly acknowledged. Failure to set a high standard in this respect could lead to a charge of plagiarism, with serious disciplinary consequences. Equally, if a student summarises another person's ideas, judgements, figures, software or diagrams, a reference to that person or the source should be made in the text and the source included in the bibliography.

#### O1 History of Mathematics (whole unit)

The written examination will be of two hours' duration.� It will have two sections: A (Extracts) with six questions and�B (Essays) with four questions.� Candidates will be expected to attempt two questions from Section A and one from Section B.� The reading course mini-project will consist of an essay of up to 3000 words; essay topics set by the examiners will be released to the candidates in Week 7 of Hilary Term.

The assessment will use the following weighting principles:

- �
- The written paper and the mini-project will be given equal weight in the calculation of the USM.
- �
- For the project, marks will be awarded for mathematical content, historical content, and presentation.
- �
- The extracts questions in Section A of the written paper will attract marks for treatment of context, content and significance.
- �
- The Section B essay will be marked using the same categories as the project.

#### OBS1 Applied Statistics (whole unit)

This is a 2 hour paper, with four questions on Michaelmas Term work and three questions on Hilary Term work. The rubric requires candidates to answer at most 4 questions, with the best three counting. Each question is marked out of 22 and the compulsory assessed practical is marked out of 34.

#### OBS2 Statistical Inference (whole unit) & OBS3 Stochastic Modelling (whole unit)

These are 3 hour papers, each with four questions on Michaelmas Term work and four questions on Hilary Term work. Each question is marked out of 25. The rubric states:" Submit answers to a maximum of five questions. Submit at least one answer in each section (half-unit) of the paper. The best answer in each section will count, along with the best two of the remaining answers". Each part of OBS2 can be taken as a half unit, and the first part of OBS3 can be taken as a half unit. The rubric on the half unit papers states: "Submit answers to a maximum of three questions. The best two answers will be counted".

#### OBS4 Actuarial Science (whole unit)

This is a 3 hour paper, with three questions on Michaelmas Term work and three questions on Hilary Term work. Each question is marked out of 25. The rubric states: "Submit answers to a maximum of five questions. The best four will count".

#### OCS1 Functional Programming, Data Structures and Algorithms (whole unit)

This paper is Paper CS1 in Honour Moderations in Mathematics and Computer Science, and will be marked by the moderators. Candidates are advised to consult the Computer Science Course Handbook. for details. The paper is a 3 hour paper, with four questions on Functional Programming and four on Data Structures and Algorithms. Candidates are required to submit answers to a maximum of five questions. Each question is marked out of 20. In addition, there is a mark out of 20 for the practical. The best five marks out of the six possible marks (five on examination paper questions and one on the practical) will count. USMs will be assigned by the Mathematics Examiners following similar principles to those for other papers.

#### OB21 Numerical Solutions of Differential Equations I and II (whole unit)

This is a 3 hour examination, with three questions on Michaelmas Term work and three questions on Hilary Term work. Candidates are required to answer at most 2 questions from each half. Individual questions are marked out of 25.

#### OB21 Numerical Solutions of Differential Equations l (half unit)

This is a 1 1/2 hour examination, with three questions. Candidates are required to answer at most 2 questions. Individual questions are marked out of 25.

#### OB22 Integer Programming (half unit)

This is a 1 1/2 hour examination, with three questions. Candidates are required to answer at most 2 questions. Individual questions are marked out of 25.

#### OE Extended Essay

USM marks will be assigned to Extended Essays with the same meaning as regards class boundaries as in the Mathematics papers. In arriving at these marks, the relative weights attached to content, appropriate intellectual content and presentation will be 1/4, 1/2 and 1/4, respectively.

The attention of candidates is drawn to the requirement to submit their own original work and to complete a certificate of originality when submitting their essays. Passages quoted or closely paraphrased from another person's work must be identified as quotations or paraphrases, and the source of the quoted or paraphrased material must be clearly acknowledged. Failure to set a high standard in this respect could lead to a charge of plagiarism, with serious disciplinary consequences. Equally, if a student summarises another person's ideas, judgements, figures, software or diagrams, a reference to that person or the source should be made in the text and the source included in the bibliography.�

#### N1 Undergraduate Ambassadors' Scheme (half unit)

Candidates are assessed on their Journal of activities, Oral presentation, Course report and project, Teacher report. The weightings for these four headings are 20%, 30%, 35%, 15% respectively.

#### Philosophy papers N101, N102, N122

These papers will be marked by the Philosophy Examiners and assigned USMs by them.

### Publication of marks distribution tables

The Examiners propose to publish marks distribution tables (i.e. tables showing the percentage of candidates achieving each average USM and above). The tables will be sent to each candidate and to Tutors and Senior Tutors, and the information will also be published in the Examiners' Report.

### Calculators and tables

Basic scientific calculators which have features such as exp and log, but which are NOT programmable, will be allowed. Any of the following will be permitted:

- Casio fx-83 or fx-85
- Sharp EL-520 or EL-531

Any candidate wishing to use an equivalent calculator should apply in writing to the Chairman of Part B Examiners, Mathematical Institute, by 21 May, specifying the make and including a photocopied image of the calculator. Candidates should note that no calculators will be available in the examination room. New Cambridge Elementary Statistical Tables will be provided for use with papers OBS1, OBS2, OBS3, OBS4. These tables may be inspected in the Mathematical Institute Academic Office on any morning during 5th week of Trinity Term.