s

Title

/ Mathematics
Code / XE120
Level / 4
Credit rating / 20
Pre-requisites / Normal entry requirements for Stage 1 of MEng/BEng (Hons) Engineering Portfolios
Type of module / Double module delivered over two semesters.
Aims / To provide sufficient mathematical detail to support other first year engineering subjects and to build mathematical facility and confidence
Learning outcomes/objectives / On successful completion of this module students will be able to:
1 demonstrate an understanding of and show how to apply key topics in calculus, such as differentiation, integration, complex numbers, sequences and series, and partial differentiation.
2 demonstrate an understanding and use of vector techniques in two and three dimensions and basic matrix algebra.
3 demonstrate how to solve simple first and second order differential equations.
4 demonstrate the use of suitable statistical techniques and probability distributions to summarise and analyse data.
Content / Complex numbers
Differentiation (including partial differentiation)
Integration (including integration by parts)
First-order differential equations (separable, general linear)
Second-order differential equations (homogeneous, inhomogeneous)
Numerical integration and solution of equations (Newton-Raphson)
Matrix methods (notation, algebra, inversion)
Probability & statistics (quick review of basics i.e. means etc, Normal distribution, regression)
Binomial expansion
Series (arithmetic, geometric, Taylor)
Hyperbolic functions
Vectors (up to 3D)
Numerical methods of solution of ODEs (Euler, Runge Kutta)
Teaching and learning strategies / Contact hours will include lectures and tutorial classes. Personal study is encouraged through extensive referencing to specific chapters in the textbook and exercise sheets
Learning support / Use will be made of textbooks and handouts.
Singh, K, (2011) Engineering Mathematics through Applications, 2nd edition. Palgrave (ISBN 978-0230274792).
Allocation of study hours to activities / KIS CATEGORY/Activity type / Study hours / %
CATEGORY: SCHEDULED
Type: Lectures, seminars, tutorials, project supervision, demonstrations, practical classes and workshops, supervised time in workshop/ studio, fieldwork, external visits, work-based learning / Lecture - 78hr. / 39%
CATEGORY: GUIDED INDEPENDENT STUDY
Type: Independent study including wider reading/ practice, follow-up work, completion of assessment tasks, revision etc / Guided independent study - 122 hr. / 61%
CATEGORY: PLACEMENT*
Type: Learning away from the University that is not a year abroad or work-based learning
Assessment tasks
Type of assessment tasks
Summative assessment tasks which lead to the award of credit or which are required for progression (expressed as a %)
/ KIS CATEGORY/Activity type / Further details / %
CATEGORY: WRITTEN
Type: Written exam/ test (inc. in-class test) / Written tests / 100
CATEGORY: COURSEWORK
Type: Written assignment/ essay, report, dissertation, portfolio, project output
CATEGORY: PRACTICAL
Type: Oral assessment and presentation, practical skills assessment
CATEGORY: VARIES
Type: Set exercises assessing application of knowledge, analytical, problem-solving or evaluative skills
Assessment tasks
/ Semester 1 tests (50%, LO1, LO2), semester-2 tests (50%, LO1, LO3, LO4)
Brief description of module content and/or aims (maximum 80 words) / The module seeks to give the students the opportunity to fully understand the utility of mathematics in analysing and solving engineering problems. This will build confidence in applying the appropriate methods of calculus, vectors and complex numbers.
Area examination board to which module relates / Division of Engineering and Product Design Examination Board
Module team/authors/coordinator / Dr W Wilkinson, Dr D Lawrence, Dr J Taylor
Semester offered, where appropriate / 1
Site where delivered / Moulsecoomb
Date of first approval / 2/1/2005
Date of last revision / June 2011
Date of approval of this version / 7/1/2012
Version number / 4
Replacement for previous module / XE100, XE101
Field for which module is acceptable and status in that field
Course(s) for which module is acceptable and status in that course / MEng/BEng (Hons) Mechanical Engineering Portfolio (compulsory)
MEng/BEng (Hons) Electrical Engineering Portfolio (compulsory)
BSc (Hons) Electronic Engineering (compulsory)
BSc (Hons) Mechanical and Manufacturing Engineering (compulsory)
School home / Computing, Engineering and Mathematics
External examiner / Dr S Ashenden (appointed October 2009) and Dr Khaled Hayatleh (October 2011)