Module title Engineering Mathematics Module code INT1106 Academic year(s) 2015/6 Credits 30 Basic module details Module staff Andrew Mackenzie Robertson - Convenor Duration (weeks) - term 1 12 Duration (weeks) - term 2 12 Duration (weeks) - term 3 3 Number students taking module (anticipated) 25 Description - summary of the module content Module description Today, mathematics as a mode of thought and expression is more valuable than ever before. Learning to think and express yourself in mathematical terms is an essential part of your becoming an engineer who is able to describe engineering processes and systems and solve problems. Your mathematical skills will be extended to the level necessary to complete a BEng or MEng engineering degree programme. This module takes you deeper than you are likely to have gone before in mathematics and it covers what you will need throughout your professional career, focussing on the direct application of mathematics to engineering problems. Module aims - intentions of the module Module aims The purpose of this module is to extend students' mathematical skills to the level necessary to complete a BEng or MEng degree programme. It covers topics which are fundamental to engineers in their professional careers and places emphasis on the application of mathematics to engineering problems. Intended learning outcomes (ILOs) ILO: Module-specific skills 1. work with functions in 1, 2 and 3 variables, applying the appropriate techniques to the solution of problems. 2. solve first and second order ordinary differential equations. 3. demonstrate an understanding of the concepts of complex number and analytic functions, change the form of complex numbers, and carry out arithmetic operations with complex numbers 4. use vector algebra. to analyse problems involving lines and planes, apply the scalar and vector products to vectors 5. perform basic arithmetic operations on matrices. ILO: Discipline-specific skills 6. apply mathematical principles to systematically analyse problems 7. extract the essential mathematics from real-world problems given in written and verbal language and to begin to be able to model such problems in familiar mathematical language 8. communicate mathematical concepts and processes coherently, both orally and in writing, using correct notation 9. use mathematical software (Mathcad) to solve mathematical problems ILO: Personal and key skills 10. carry out directed private study using textbooks and other provided resources Syllabus plan Syllabus plan Algebra and functions Differential calculus and its application to simple problems in mechanics and evolution problems Vector algebra to analyse problems involving lines and planes and applying the scalar and vector products to vectors Complex numbers Integration First and second order differential equations Matrices Partial differentiation Further integral calculus Complex variables 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 144 156 0 Details of learning activities and teaching methods Category Hours of study time Description Scheduled Learning and Teaching activities 72 Lectures. These introduce concepts, provide a broad background, introduce methods and give general guidance. Scheduled learning and Teaching activities 72 Tutorials. These sessions will explore particular topics in greater depth and provide students with an opportunity to consolidate their knowledge by solving questions. Included are tutorials on using Mathcad. Directed private study 156 Preparation for lectures. CMA/TMA/Tutorial problem solving. Reading and research. Assessment Formative assessment Form of assessment Size of the assessment (eg length / duration) ILOs assessed Feedback method Tutorial examples In tutorials 1-8, 10 Verbal feedback on review Tutorial examples Mathcad tutorials 9 Verbal feedback on review Summative assessment (% of credit) Coursework Written exams Practical exams 20 80 0 Details of summative assessment Form of assessment % of credit Size of the assessment (eg length / duration) ILOs assessed Feedback method Written assignments. TMA and CMA. 20 20 CMAs/TMAs (4 hours each) 1-8 Written feedback on formal submission 80 2 hour closed book exam end of semester 1 (30%) 3 hour closed book exam end of semester 2 (50%) 1-8 Written feedback on formal submission Written examination 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 Written exam Written exam (referral) 1-8 Usually taken in next exam period Written exam Written exam (deferral) 1-8 Usually taken in next exam period Re-assessment notes The pass mark for award of credit in this module is 40%. Referral is the process whereby a further attempt at the module examination, following an initial failure, is permitted without the requirement to repeat any attendance. Referral will constitute a second formal examination – coursework will not be included in the re-assessment. All summative coursework must be completed before entitlement to a referral. The grade for the referred exam, and therefore the module grade, will be capped at 40%. For deferrals, candidates will be awarded the higher of the deferred examination mark or the deferred examination mark combined with the original coursework mark. Resubmission of coursework is impractical since coursework answers and feedback are given to students after marking. Resources Indicative learning resources - Basic reading Stroud, K. (2013) Engineering Mathematics, 7th edition, Basingstoke: Palgrave Macmillan, 0312-4 ISBN: 978-1-137- Stroud, K. (2003) Advanced Engineering Mathematics, 5th edition, Basingstoke: Palgrave Macmillan, ISBN: 978-0-230-27548-5 Module has an active ELE page? Yes Indicative learning resources - Web based and electronic resources ELE – http://vle.exeter.ac.uk/ Indicative learning resources - Other resources Other details Module ECTS 15 Module pre-requisites Module co-requisites NQF level (module) 4 Available as distance learning? No Origin date 17/11/2011 Last revision date 17/07/2015 Key words search Engineering mathematics, Mathematics