Module title
Maths 2 for Foundation
Module code
INT0021
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)
40
Description - summary of the module content
Module description
Now that you have completed Foundation Mathematics, you will be able to study techniques that are applied to current
engineering problems. This module will introduce you to the techniques you will develop further in your engineering or
mathematics degree: you will learn the basics of the mathematics used in the construction of machines, buildings or satellites;
develop the skills in calculus needed for basic weather forecasting and climate studies; study the mechanics used for planning
the movements of objects, such as car engines, trains pulling uphill or rockets launching into space; and the trigonometry used
to design communications networks, aerials and medical treatments for diseases such as cancer.
If you study this module, you will also need to take INT0020 Maths 1
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
Mathematics, Engineering or related disciplines. It builds on the skills and knowledge 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. apply mathematical methods to solve problems requiring the use of algebraic and trigonometric formulae
2. demonstrate recognition of and apply introductory techniques required in undergraduate mathematical courses
3. demonstrate understanding of the basic principles of mathematics
4. demonstrate understanding of the use of vectors in applications to geometry and mechanics
5. apply techniques in calculus
6. recognise when particular techniques are used in a variety of mathematical or engineering situations
ILO: Discipline-specific skills
7. demonstrate understanding of mathematical principles in Engineering and Mathematical disciplines
8. construct models and solve problems which represent situations in science and engineering
9. interpret answers to problems with appropriate accuracy
ILO: Personal and key skills
10. apply mathematical methods to address a well-defined problem
11. communicate effectively in the written form
Syllabus plan
Syllabus plan
1. Vectors. Position vector, modulus of a vector. Adding subtracting vectors. The scalar product. Angle between two vectors.
Cartesian co-ordinates of vector in 3 dimensions. The vector equation of a straight line. Resolving vectors into horizontal and
vertical components.
2. Two-dimensional trigonometry. Solving trig equations for any angle in degrees in a given interval. Trigonometrical identities.
Addition formula. Double angle formula. The sine and cosine rules. Solving equations of the form asinx +bcosx. Radian
measure. Arc length and sector area. Solving trig equations for any angle in radians for 0 < angle < 2?.
3. Polar co-ordinates. Converting between Cartesian and polar coordinates.
4. Introduction to complex numbers. Adding, subtracting, and multiplying. Complex conjugate.
5. Parametric equations. Drawing curves given by parametric equations.
6. Differentiation of sin x, cos x, tan x. Velocity and acceleration. Differentiating functions given implicitly and parametrically.
7. Integrations of trig functions. Use of trig identities to integrate functions such as cos2x. Application of integration to volumes
of revolution.
8. Differential equations. Forming and solving simple differential equations. First order, variables separable differential
equations.
9. Mechanics. Applications of vectors to displacements, velocities, accelerations and forces. Velocity triangles. Dynamics of a
particle moving in straight line, the suvat equations. Newton’s laws of motion. F=ma. Equilibrium of particle under forces.
Moments of a force.
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
40
60
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
40
24 hours
1-11
Written feedback.
Verbal feedback on
review.
Final exam
60
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 grade will not include
coursework marks. Deferred exams will not be capped and will include summative coursework marks in the final module grade.
Resources
Indicative learning resources - Basic reading
Module has an active ELE page?
Yes
Indicative learning resources - Web based and electronic resources
Berry, C., Hanrahan, V., Porkess, R. & Secker, P. (2004). MEI A2 Pure Mathematics C3-C4: MEI Structured Mathematics.
London: Hodder and Murray.
Bryden, P. (2004). MEI Mechanics 1: MEI Structured Mathematics. London: Hodder and Murray.
Indicative learning resources - Other resources
Pledger, K., Attwood, G., MacPherson, A., Moran, B., Petran, J., Staley, G. & Wilkins, D. (2004). Core Mathematics 3:
Heinemann Modular Mathematics. Oxford: Heinemann Educational.
Pledger, K., Attwood, G., MacPherson, A., Moran, B., Petran, J., Staley, G. & Wilkins, D. (2004). Core Mathematics 4:
Heinemann Modular Mathematics. Oxford: Heinemann Educational.
Hebborn, J & Littlewood, J. (2004). Mechanics 1: Heinemann Modular Mathematics. Oxford: Heinemann Educational.
Other details
Module ECTS
10
Module pre-requisites
INT0007 Foundation Maths
Module co-requisites
INT0020 Maths 1 for Foundation
NQF level (module)
3
Available as distance learning?
No
Origin date
1/9/2009
Last revision date
28/11/2012
Key words search
Mathematics, Trigonometry, Vectors, Mechanics