Algebra, Calculus and Statistics

Module title	Algebra, Calculus and Statistics
Module code	INT0056
Academic year	2020/1
Credits	30
Module staff

Duration: Term	1	2	3
Duration: Weeks	13	13

Description - summary of the module content

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.

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 and techniques
2. Use mathematical methods to solve problems requiring the use of algebraic techniques
3. Apply mathematics to a wide range of real-life problems
4. Demonstrate understanding of and apply mathematical techniques in calculus
5. Demonstrate understanding of and apply statistical techniques
6. Manipulate polynomial, logarithmic and exponential functions

ILO: Discipline-specific skills

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

7. Demonstrate understanding of mathematical principles required in business and scientific disciplines
8. Construct and solve mathematical models representing situations in the business and scientific worlds
9. Use the results of calculations to make predictions and interpret answers
10. Describe and interpret sets of data

ILO: Personal and key skills

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

11. Analyse, interpret and illustrate data using a variety of techniques including graphical presentations
12. Communicate effectively in the written format

Syllabus plan

Numbers: natural number, integer, rational number, irrational number, real number, fractions, modulus. Decimal places and significant figures. Scientific notation.
Estimation, absolute and relative answers.
Algebra.
Functions.
Coordinate Geometry in two dimensions.
Optimisation.
The exponential and logarithmic functions.
Differentiation.
Integration.
Numerical determination of integrals using the trapezium rule.
Numerical solution of equations.
12. Statistics and Probability.
The Normal Distribution.

Learning and teaching

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

Scheduled Learning and Teaching Activities	Guided independent study	Placement / study abroad
90	120	0

Details of learning activities and teaching methods

Category	Hours of study time	Description
Scheduled Learning & Teaching Activities	90	Small group lessons, including lectures, examples, practice and use of computing techniques. Working on problem solving activities and online activities
Guided Independent Study	210	Study of written notes, practise examples, using resources supplied on ELE and other on-line learning material

Assessment

Formative assessment

Form of assessment	Size of the assessment (eg length / duration)	ILOs assessed	Feedback method
Class exercises and activities	20 hours	1-12	Verbal and Answers on ELE

Summative assessment (% of credit)

Coursework	Written exams	Practical exams
50	50	0

Details of summative assessment

Form of assessment	% of credit	Size of the assessment (eg length / duration)	ILOs assessed	Feedback method
Coursework Assignments	50	10 CMAs, 5 per semester at 5%	1-11	Online feedback after submission
Final Examination	50	2 hours (taken over 4 hours within a 24 hour window)	1-12	Written feedback on formal submission

Re-assessment

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

Original form of assessment	Form of re-assessment	ILOs re-assessed	Timescale for re-assessment
Examination	Examination	1-12	Next assessment opportunity
Coursework	Examination	1-12	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.

Resources

Indicative learning resources - Basic reading

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

Module has an active ELE page

Indicative learning resources - Other resources

www.Integralmaths.org

www.mathcentre.ac.uk

Key words search

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

Credit value	30
Module ECTS	15
Module pre-requisites	N/A
Module co-requisites	N/A
NQF level (module)	3
Available as distance learning?	Yes
Origin date	21/10/2020
Last revision date	21/10/2020