Module title
Maths 1 for Foundation
Module code
INT0020
Academic year(s)
2015/6
Credits
20
Basic module details
Module staff
Robin Patrick Dixon - Convenor
Duration (weeks) - term 1
Duration (weeks) - term 2
12
Duration (weeks) - term 3
Number students taking module (anticipated)
100
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? What is the trajectory of an asteroid escaping from orbit? You can answer all these questions if you
study the mathematics taught in this module!
Pre-requisite modules: INT0007 Foundation Mathematics
Module aims - intentions of the module
Module aims
This module aims to provide a foundation in mathematics for students who intend to follow a degree programme in the areas of
Accountancy, Finance, Mathematics, Psychology, Engineering or related disciplines. It builds on the knowledge and skills
developed in Foundation Mathematics. Students will be expected to manage their time successfully in order to complete a
series of coursework and other tasks.
Intended learning outcomes (ILOs)
ILO: Module-specific skills
1. Use scientific mathematical notation
2. Manipulate algebraic expressions and functions
3. Demonstrate understanding of and apply mathematical techniques in calculus and statistics
4. Recognise and construct graphs from algebraic, logarithmic and exponential functions
5. Use some statistical techniques to describe and analyse data
ILO: Discipline-specific skills
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
9. Describe and interpret sets of data using statistical analysis
ILO: Personal and key skills
10. Interpret and analyse data
11. Communicate effectively in the written form
Syllabus plan
Syllabus plan
1. Estimation, absolute and relative answers.
2. Algebra. Algebraic fractions: cancelling, adding, subtracting, multiplying, and dividing. Partial fractions. The modulus
function. Simultaneous equations, 1 linear and 1 quadratic. Inequalities. Division of a polynomial by a linear orquadratic
polynomial. The factor theorem. The remainder theorem. Binomial expansion of (1+x)n and (a+bx)n , where n isan
integer or a fraction.
3. Vectors. Addition, Modulus, Scalar Product, Angle between vectors, Equation of line, Vector Product.
4. Function notation: y=f(x). Curve sketching of quadratic and cubic functions. Application of simple transformations on the
graph y = f(x). Domain and range. Composite Functions.
5. Matrices. Addition, Subtraction, Multiplication of up to 3x3 matrices. Inverse of 2x2 matrix. Using matrices to solve
simulations equations.
6. Co-ordinate geometry. Sketching curves given by Cartesian equations. Asymptotes.
7. Differentiation. ex, In x. The chain rule, the product rule, the quotient rule. Connected rates of change.
8. Integration of exponentials, log functions. Integration: by substitution, by parts, of rational functions using partial
fractions.
9. Probability. Random variables. The probability function.
10. Statistics. The binomial distribution. Hypothesis testing using 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
60
140
0
Details of learning activities and teaching methods
Category
Hours of study time
Description
Scheduled Learning and Teaching
activities
60
Small group lessons, including lectures,
examples, practice and use of
computing techniques.
140
Study of written notes, practise
examples, using resources supplied on
ELE and other on-line learning material.
Coursework
Written exams
Practical exams
20
80
0
Guided Independent Learning
Assessment
Formative assessment
Summative assessment (% of credit)
Details of summative assessment
Form of assessment
% of credit
Size of the
assessment (eg
length / duration)
ILOs assessed
Feedback method
Coursework
assignments
20
15 hours
1-10
Online feedback
immediately after
submission
Mid-Term Examination
30
2 hours
1-11
Verbal feedback in
class tutorial
Final Examination
50
2 hours
1-11
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 reassessment
Examination and Coursework
1-11
Notified at commencement of
module.
Examination
Re-assessment notes
The grade for the referred exam, and therefore the module grade, will be capped at 40%. Re-assessment, which is only
available if all coursework has been completed, will not include coursework marks or mid-term exam marks. Resubmission of
coursework is impractical since coursework answers are made available to students at the close of original submission.
Deferred exams will not be capped and will include both summative coursework and examination marks in the final module
grade.
Resources
Indicative learning resources - Basic reading
Hanrahan, V., Matthews, J., Porkess, R. & Secker, P. (2004). MEI AS Pure Mathematics C1 and C2: MEI Structured
Mathematics (3rd Ed.). London: Hodder Murray.
Berry, C., Hanrahan, V., Porkess, R., Secker, P.(2004). MEI A2 Pure Mathematics C3 and C4: MEI Structured Mathematics
(3rd Ed.). London: Hodder Murray.
Eccles, A., Francis, B., Graham, A.,& Porkess, R. (2004). MEI Statistics 1: MEI Structured Mathematics (3rd Ed.). London:
Hodder Murray.
Eccles, A., Francis, B., Green, N.,& Porkess, R. (2004). MEI Statistics 2: MEI Structured Mathematics (3rd Ed.). London:
Hodder Murray.
Berry, C., Martin, D., & Heard, T., (2004). MEI AS Further Pure Mathematics FP1: MEI Structured Mathematics (3rd Ed.).
London: Hodder Murray.
Module has an active ELE page?
Yes
Indicative learning resources - Web based and electronic resources
ELE – http://vle.exeter.ac.uk/mod/resource/view.php?id=25831
Indicative learning resources - Other resources
Pledger, K., Attwood, G., MacPherson, A., Moran, B., Petran, J. & Wilkins, D. (2004). Core Mathematics 1: Heinemann Modular
Mathematics. Oxford: Heinemann Educational.
Pledger, K., Attwood, G., MacPherson, A., Moran, B., Petran, J., Staley, G. & Wilkins, D. (2004). Core Mathematics 2:
Heinemann Modular Mathematics. Oxford: Heinemann Educational.
Pledger, K., Attwood, G., MacPherson, A., Moran, B., Petran, J., Staley, G. & Wilkins, D. (2004). Core Mathematics 3:
Heinemann Modular Mathematics. Oxford: Heinemann Educational.
Attwood, G., Dyer, G. & Skipworth, G. (2000). Statistics 1: Heinemann Modular Mathematics. Oxford: Heinemann Educational.
Other details
Module ECTS
10
Module pre-requisites
Foundation Maths
Module co-requisites
NQF level (module)
3
Available as distance learning?
No
Origin date
01/09/2009
Last revision date
25/07/2013
Key words search
Mathematics, Foundation Mathematics, Foundation Statistics