1. DEMONSTRATE THE APPLICATION OF MATHEMATICAL TECHNIQUES IN THE CONTEXT OF SCIENTIFIC PROBLEMS.
Learning Outcomes - Application, Enquiry, Learning

2. CONSTRUCT AND INTERPRET A VARIETY OF GRAPHS PRODUCED FROM EXPERIMENTAL DATA. ACCURATELY INTERPRET LINEAR GRAPHS IN TERMS OF GRADIENT AND INTERCEPT.
Learning Outcomes - Analysis, Communication, Problem Solving

3. APPLY ALGEBRAIC RULES TO MANIPULATE SIMPLE ALGEBRAIC EXPRESSIONS.
Learning Outcomes - Application, Problem Solving

4. UNDERSTAND THE PRINCIPLES OF PROBABILITY AND STATISTICS INCLUDING NORMAL DISTRIBUTION. APPLY A RANGE OF STATISTICAL METHODS AND CONCEPTS TO DATA.
Learning Outcomes - Application, Knowledge & Understanding, Problem Solving

5. COLLECT ANALYSE AND INTERPRET EXPERIMENTAL RESULTS AND COMMUNICATE FINDINGS IN AN INTELLIGABLE WRITTEN FORMAT.
Learning Outcomes - Analysis, Communication, Enquiry

The module provides study of the mathematical techniques needed to support the study of physical and life sciences at level 3 and provides the foundation for higher level study in data science. Throughout the emphasis will be on practising the application of mathematical techniques in the context of science. Students will study the rules of algebra needed for the manipulation of equations and the transposition of simple formulae. They will be able to appreciate and handle linear and quadratic functions, leading to the solution of simultaneous linear equations and quadratic equations. The data analysis section will concentrate on the construction and interpretation of linear graphs (y=mx+c) in terms of gradient and intercept, including simple examples involving rearranging data into a linear form. Students will apply the basics of trigonometry and Pythagoras to right-angled triangles. The principles of probability and statistical analysis will be introduced, including the calculation of measures of central tendency and dispersion, and the application of the normal distribution to basic statistical data. Values to measure statistical significance will be determined and interpreted. The principles of differential and integral calculus will be studied and applied to measuring the rate of change of a function and used to determine simple maxima and minima. The concept of error and precision in measurement, including means of estimating errors in experimental work will be studied. Exponential functions will be introduced.

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Subject Specific¿
The module will be delivered by tutor led theory sessions, problem solving classes and practical work, throughout which the emphasis will be on student involvement.¿
The information will be delivered using interactive lectures interspersed with tutorials and problem-solving classes. Worksheets will be used to engage students in an active role in the learning process. Problem solving activities will be used to consolidate learning. The active learning is continued in the tutorial sessions where investigative procedures will be discussed, planned and carried out by the students.¿
Formative learning will be aided by assignments, tutorial exercises and the ability to receive formative feedback of coursework drafts prior to submission.¿
The lecture and laboratory classes will be spread over semester 1 and 2 so that there will be class contact and scheduled activities per week. Each week the classes will contain an appropriate combination of theory and practical exercises for the individual topic being delivered.¿

The time for independent study will be taken up by preparation and completion of assignment work, and preparation for class discussion.¿

Foundation Maths (6th Ed.) by A. Croft and R. Davison, Pearson, 2016.¿

Edexcel AS and A level Mathematics Pure Mathematics, G. Attwood, J. Barraclough, I. Bettison, A. Mcpherson, B. Moran, S. Nicholson, K Pledger, H. Smith, G, Staley, R. Ward-Penny, D. Wilkins, D. Oliver & J. Petran, Pearson Education, 2017.

Edexcel AS and A Level Mathematics Statistics and Mechanics Year 1/AS Practice Workbook, Pearson Education, 2019

In order to provide further support specialist texts and journal articles can be accessed via the WWW as well as College and University library support services. In addition, suitable texts/resources will be cited as and when required to support a learning activity.¿

Well-appointed classroom, with screen casting facilities.
Appropriately resourced library.¿
I.T Resources equipped with Office or equivalent.
Access to University study skills support.

Examination 2 hours to assess outcomes 1 to 3 (60%) (final assessment)

A laboratory report – students are allowed to submit two lab reports of their choice and the best mark is the formal summative mark to assess outcomes 4 and 5 (40%)

Additional Assessment Information:
Students will be required to complete 2 pieces of summative assessment, namely a laboratory report and end of module examination. These will be used to assess both comprehension of the subject and the attainment of subject specific and transferable study skills.

Formative exam questions and review of these will be provided.