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Using Quantitative Methods

  • Module code: XX3003
  • Year: 2018/9
  • Level: 3
  • Credits: 30
  • Pre-requisites: None
  • Co-requisites: None

Summary

This module is designed to allow students to develop competence in a range of mathematical and statistical techniques which they can then apply within a range of contexts in social and behavioural sciences. The module reinforces basic mathematical concepts to the level required for entry in the BA/BSc programmes offered by the School of Law, Social and Behavioural Sciences, and is accessible to students with a wide range of previous mathematical experiences.

Aims

  • To enable students with a wide variety of previous mathematical experiences to develop competence in a range of algebraic, graphical, numerical and statistical techniques, as well as elementary formal logic
  • To enable students to apply mathematical knowledge to solve a range of problems within social and behavioural scientific contexts.
  • To enable students to use calculators and appropriate computer software to analyse and present mathematical data in a variety of suitable formats.

Learning outcomes

On successful completion of the module, students will be able to:

  • Use a range of numerical, algebraic and statistical techniques to solve mathematical problems.
  • Use a range of graphical methods to present and interpret data.
  • Demonstrate an understanding of elementary formal logic and its application.
  • Use spreadsheets to present, analyse and interpret numerical data.
  • Deploy mathematical concepts and techniques covered in the module to solve problems relevant to the social and behavioural sciences.

Curriculum content

  • Basic mathematical operations - arithmetic, indices, fractions, decimals, percentages, ratios, approximation, significant figures, precision and accuracy.
  • Algebra - simplification, transposition of formulae, substitution.
  • Graphs - plotting, scales, the straight line equation.
  • Solving simultaneous equations - graphical methods.
  • Quadratic equations - factorisation, quadratic formulae, quadratic graphs.
  • Statistics - Analysing and presenting data using tabular and graphical methods, statistical measures, standard deviation.
  • Elementary logic - venn diagrams; basic boolean algebra; truth tables.
  • Using Excel to calculate and display statistical data in appropriate formats.
  • Probability.
  • Statistics - analysing and presenting data using tabular and graphical methods, statistical measures, standard deviation, simple statistical tests, correlation and regression.

Teaching and learning strategy

Teaching is delivered through whole group lecture/tutorial classes. A proportion of the taught sessions will take place in IT labs enabling students to make use of standard software to analyse data and produce graphs. The majority of taught classes will begin with a short "lecture" introducing and explaining concepts, but the majority of each session will be devoted to students completing formative exercises to build and develop their mathematical skills. The main emphasis in the module is to foster the link between its mathematical content and the application of the theory to contexts in the social and behavioural sciences; this will be done throughout the module and will not be treated as a section in isolation from the subject content. Where appropriate, examples and data will be drawn from applications related to the subject content of the other modules in the programme, but will also provide some links to applications related to the intended degree pathways of the students following their foundation year.

Breakdown of Teaching and Learning Hours

Definitive UNISTATS Category Indicative Description Hours
Scheduled learning and teaching Lecture/Tutorial/Workshop/IT Labs 22 x 2 hr per week 44
Scheduled learning and teaching 256
Total (number of credits x 10) 300

Assessment strategy

Summative assessment is through the submission of a portfolio of coursework. This consists of two seen in-class tests of 30 minutes each, a statistics assignment to be completed outside formal class time, and a final unseen test of 60 minutes. The time constraint in class assessment will test the students' understanding of, and skills in using, the basic mathematical concepts in the module. The statistics coursework will give the students an opportunity to demonstrate their data handling, statistical inference and presentation skills. The end of module final test will provide synoptic assessment of the whole module, with the exception of the statistical techniques tested in the coursework assessment.

Mapping of Learning Outcomes to Assessment Strategy (Indicative)

Learning Outcome Assessment Strategy
1) Recall and use a range of numerical, algebraic and statistical techniques to solve mathematical problems. In course tests. (F/S). Final test (S).
2) Recall and use a range of graphical methods to present and interpret data. In course tests. (F/S). Final test (S).
3) Demonstrate an understanding of basic formal logic and its application. In course tests. (F/S). Final test (S).
4) Use spreadsheets to present, analyse and interpret numerical data. Statistics Coursework (F/S)
5) Relate and use the mathematical concepts and techniques in the module to solve problems expressed in the context of social and behavioural sciences. In course tests (F/S), Statistics Coursework (F/S). Final test (S).

Elements of Assessment

Description of Assessment Definitive UNISTATS Categories Percentage
Porfolio of assessments consisting of two seen in course tests, one statistics coursework assignment, and one final test. Coursework 100
Total (to equal 100%) 100%

Achieving a pass

It IS NOT a requirement that any major assessment category is passed separately in order to achieve an overall pass for the module.

Bibliography core texts

Croft, A. and R. Davidson (2016), Foundation Mathematics, 6th Edition, Pearson, Harlow.

Bibliography recommended reading

Barrow, M. (2009), Statistics for Economics, Accounting and Business Studies, 5th Edition, Pearson, Harlow.
Dancey C. and J. Reidy (2014), Statistics without Maths for Psychology, 6th Edition, Prentice Hall, London.
Gilbert, N. (2008), Researching Social Life, 2nd Edition, Sage, London
Renshaw, G. (2011), Maths for Economics, 3rd Edition, Oxford University Press.

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