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# Mathematics and Statistics

Module title Mathematics and Statistics INT0065 2023/4 30 Joaquin Navarrete Navarro (Convenor)
 Duration: Term Duration: Weeks 1 2 3 10 10
 Number students taking module (anticipated) 80

## Module description

How can you record and manipulate the quantities of different goods in your company warehouse? How can you find out whether your rival company is telling the truth about their products without taking them all to pieces? How high will your fireworks go before they turn and fall back onto the amazed onlookers? How does changing one small thing affect all the other things dependent on it? Mathematics is used to answer these questions. In this module you will learn how to describe, understand and represent situations both graphically and algebraically and draw conclusions from these. You will learn how to manipulate and solve different types of equations to find unknown values, how to make decisions and how to find the best decision from a set of different possibilities.

This is not a course for beginners: students taking this course should already have good knowledge of mathematics which will be checked at the beginning of the course. This module is open to all foundation students with a good level of mathematical skill; it is compulsory for students progressing to Economics, Computing, Physics, and Engineering degrees.

## Module aims - intentions of the module

This module aims to provide a foundation in mathematics for students who intend to follow a degree programme in the area of Economics, Computer Science, Engineering, Psychology, Science, Medicine or other related disciplines.

## Intended Learning Outcomes (ILOs)

### ILO: Module-specific skills

On successfully completing the module you will be able to...

• 1. demonstrate an understanding of standard mathematical notation
• 2. use mathematical methods to solve problems requiring the use of algebraic techniques
• 3. demonstrate understanding of and apply mathematical techniques in calculus
• 4. demonstrate understanding of and apply statistical techniques
• 5. manipulate polynomial, logarithmic and exponential functions

### ILO: Discipline-specific skills

On successfully completing the module you will be able to...

• 6. demonstrate understanding of mathematical principles required in business and scientific disciplines
• 7. construct and solve mathematical models representing situations in the business and scientific worlds
• 8. use the results of calculations to make predictions and interpret answers

### ILO: Personal and key skills

On successfully completing the module you will be able to...

• 9. describe, analyse and interpret sets of data
• 10. illustrate data using a variety of techniques including graphical presentations

## Syllabus plan

1. Numbers: natural number, integer, rational number, irrational number, real number, fractions, modulus. Decimal places and significant figures. Scientific notation.

1. Estimation, absolute and relative answers.

1. Algebra.

1. Functions.

1. Coordinate Geometry in two dimensions.

1. Optimisation

1. The exponential and logarithmic functions.

1. Differentiation.

1. Integration.

1. Numerical determination of integrals using the trapezium rule.

1. Numerical solution of equations.

1. Statistics and Probability

1. The Normal Distribution.

## Learning activities and teaching methods (given in hours of study time)

Scheduled Learning and Teaching ActivitiesGuided independent studyPlacement / study abroad
90210

## Details of learning activities and teaching methods

CategoryHours of study timeDescription
Scheduled Learning and Teaching activities90Small group lessons, including lectures, examples, practice and use of computing techniques. Working on problem solving activities and online activities
Guided Independent Learning 210Study of written notes, practise examples, using resources supplied on ELE and other on-line learning material.

## Formative assessment

Form of assessmentSize of the assessment (eg length / duration)ILOs assessedFeedback method
Class exercises and activities 20 hours 1-10 Verbal and answers on ELE
Computer-marked assessment 1 hour 1-2, 5-8 Immediate feedback after submission
Formative Coursework Assignment 2 hours (estimated)4, 6-10 On-line feedback and sample answers after submission
Mock Final Examination1 hour Written

## Summative assessment (% of credit)

CourseworkWritten examsPractical exams
30700

## Details of summative assessment

Form of assessment% of creditSize of the assessment (eg length / duration)ILOs assessedFeedback method
Computer-marked assessment 202 hours 1-2, 4-8 Written and verbal
Coursework Assignment 302 hours (estimated)4, 6-10 Written and verbal
Final Examination502 hours 1-10 Written
0
0
0

## Details of re-assessment (where required by referral or deferral)

Original form of assessmentForm of re-assessmentILOs re-assessedTimescale for re-assessment
Computer-marked assessment (deferral only) Examination1-2, 4-8 Next Assessment opportunity
Coursework Assignment (deferral only) Coursework Assignment 4, 6-10 Next Assessment opportunity
Final Exam (deferral/referral) Examination1-10 Next Assessment opportunity

## Re-assessment notes

Deferral – if you miss an assessment for reasons judged legitimate by the Mitigation Committee, the applicable assessment will normally be deferred. See ‘Details of reassessment’ for the form that assessment usually takes. When deferral occurs, there is ordinarily no change to the overall weighting of that assessment.

Referral – if you have failed the module overall (i.e. a final overall module mark of less than 40%) you will be required to take a re-sit exam (open book). Only your performance in this exam will count towards your final module grade. A grade of 40% will be awarded if the examination is passed.

## Indicative learning resources - Basic reading

Basic reading:

• Edexcel A level mathematics year 1 (2017) Goldie S., Whitehouse S., Hanrahan V., Moore C., Muscat JP., Pledger K.978-1471853043 â?¯Hodder Education

• Edexcel A level mathematics year 2 (2017) Goldie S., Whitehouse S., Hanrahan V., Moore C., Muscat JP., Pledger K.978-1471853050    Hodder Education

• Foundation Mathematics (2020) Croft, A., Davison, R. 978-1292289694 Pearson

## Indicative learning resources - Web based and electronic resources

Web-based and electronic resources:

• ELE –  https://vle.exeter.ac.uk/course/view.php?id=12905

## Indicative learning resources - Other resources

Other resources:

### Key words search

Mathematics, Statistics, Probability, Algebra, Calculus, Numerical solutions, Functions, Logarithms, Exponentials

Credit value 30 15 None None 3 Yes February 2022 09/06/2023