MODULE SPECIFICATION TEMPLATE
MODULE DETAILS
Module title
Module code
Credit value
Level
Mark the box to the right of the
appropriate level with an ‘X’
Mathematics 1
CN118
10
Level 4 x Level 5
Level 6
Level 0 (for modules at foundation level)
Level 7
Level 8
Entry criteria for registration on this module
Pre-requisites
Specify in terms of module codes or
equivalent
Co-requisite modules
Specify in terms of module codes or
equivalent
Module delivery
Mode of delivery
Taught
Other
Pattern of delivery
Weekly
x
Distance
Placement
Block
Other
Online
When module is delivered
Semester 1
x
Semester 2
Throughout year
Other
Brief description of module This module covers the review of elementary functions and trigonometry,
content and/ or aims
vectors, matrix analysis, the solution of a set of linear equations and
Overview (max 80 words)
introduction to differentiation and its applications required to provide a
foundation for the study of civil and environmental engineering.
Module team/ author/
ML: Dr Ourania Tsioulou
coordinator(s)
Dr Paul Harris
School
School of Environment and Technology
Site/ campus where
Moulsecoomb Campus
delivered
Course(s) for which module is appropriate and status on that course
Course
BEng(Hons) / MEng Civil Engineering
BEng(Hons) / MEng Civil with Environmental Engineering
BEng(Hons) / MEng Civil Engineering with Construction
Management
Status (mandatory/ compulsory/
optional)
Compulsory
Compulsory
Compulsory
MODULE AIMS, ASSESSMENT AND SUPPORT
Aims
To develop competence in basic analytic and numerical techniques in
mathematics relevant to Civil Engineering
Learning outcomes
By the end of this module the student should be able to:
1.
Module descriptor template: updated Aug 2012
understand the meaning of vectors and vector operations
2.
3.
4.
Content
solve sets of linear simultaneous equations;
perform matrix operations;
apply concepts of differentiation.
Elementary Functions
Review of elementary functions (such as polynomial up to the 3rd
order, trigonometric and exponential functions) and their graphs.
Review of basic trigonometry and logarithm.
Geometry
Graphical Vector operations (sum, components of a vector). Resolving
vector into components. Scalar and vector products. Definition of
moment of a force respect to a point and to a line. Equation of the line
passing through two points. Collinear and non collinear points.
Distance of a point from a line. Intersection of two lines. Simultaneous
Linear Equations Gauss elimination. Planes, equation of a plane.
Quadratic forms, paraboloid.
Matrix Algebra
Definition and properties of Matrices. Determinants and Matrices
Definition and properties of Determinants (Sarrus and Laplace rules
for the calculation of determinants). Test for consistency of linear
simultaneous equations.
Cramer’s rule for solution of systems of up to 3 linear equations.
Inverse matrices by Gauss-Jordan method. Transformations of
coordinates in 2D (translations and rotations) Analytical determination
of eigenvalues and eigenvectors.
Introduction to differentiation
Slopes, basic differentiation, differentiation of products and quotients.
Maximum and minimum points – finding and classifying
Plot of a function.
Zeros, Maxima and minima, concavity. computation of asymptotes for
a function
Learning support
Recommended Reading List :
Engineering Mathematics (7th Ed.) by K A Stroud MacMillan 2013
Mathematical Formulae by J O Bird and A J C May Longman 1999
Teaching and learning activities
Details of teaching and
learning activities
Lectures and tutorials.
Allocation of study hours (indicative)
Study hours
Where 10 credits = 100 learning hours
SCHEDULED
This is an indication of the number of hours students can expect to
spend in scheduled teaching activities including lectures, seminars,
tutorials, project supervision, demonstrations, practical classes and
workshops, supervised time in workshops/ studios, fieldwork, and
external visits.
40
GUIDED INDEPENDENT
STUDY
All students are expected to undertake guided independent study
which includes wider reading/ practice, follow-up work, the
completion of assessment tasks, and revisions.
60
Module descriptor template: updated Aug 2012
PLACEMENT
The placement is a specific type of learning away from the
University. It includes work-based learning and study that occurs
overseas.
TOTAL STUDY HOURS
Assessment tasks
Details of assessment for
this module
100% Examination (LO1-LO3)
The assessment task consists of two linked compulsory tests (LO1, 2,
3) (2 hours each) all under exam conditions.
Class Test 1 (25% of the final mark)
Exam (75% of the final mark)
Deferred/ referred assessment consists of a single 2 hour exam.
Types of assessment task1
% weighting
Indicative list of summative assessment tasks which lead to the award of credit or which are required for
progression.
(or indicate if
component is
pass/fail)
WRITTEN
Class test 1 (under exam condition)
2 hour exam
25%
75%
COURSEWORK
Written assignment/ essay, report, dissertation, portfolio, project
output, set exercise
PRACTICAL
Oral assessment and presentation, practical skills assessment, set
exercise
EXAMINATION INFORMATION
Area examination board
Built Environment & Civil Engineering Area Examination Board
Refer to Faculty Office for guidance in completing the following sections
External examiners
Name
Position and institution
Date appointed
Date tenure
ends
Dr Alessandro Palmeri
Senior Lecturer in Structural
Engineering
Oct 2013
Sept 2017
QUALITY ASSURANCE
Date of first approval
1999
Only complete where this is not the
first version
Date of last revision
July 2014
Only complete where this is not the
first version
1 Set exercises, which assess the application of knowledge or analytical, problem-solving or evaluative skills, are included
under the type of assessment most appropriate to the particular task.
Module descriptor template: updated Aug 2012
Date of approval for this
version
October 2015
Version number
3
Modules replaced
Specify codes of modules for which
this is a replacement
Available as free-standing module?
Module descriptor template: updated Aug 2012
Yes
No
x