Registry
Module Specifications
Archived Version 2014 - 2015
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Description The aims of the modules are - To develop further the students’ abilities in mathematics, in particular calculus, linear algebra and complex numbers. To deepen the students’ appreciation of the central role that mathematics plays in the development and practice of engineering. To further motivate the comprehension and use of important analytical concepts, calculus methods and linear mathematics fundamental to engineering. To help students to further develop the skill of analysing problems in a rational (rigorous, logical) and methodical manner. To further develop the students’ ability to transfer their mathematical understanding (and the associated methods) to diverse engineering application areas. To develop the students’s abilities in mathematical computation, realisation and visualisation using Matlab. To help students towards self-diagnosis and self-help in filling gaps in their mathematical education. | |||||||||||||||||||||||||||||||||||||
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Learning Outcomes 1. Describe in their own words, using appropriate mathematical notation and relevant engineering examples, the primary mathematical tools used in the treatment of engineering problems (e.g. notions of linearity, linear algebra and functional approximation); 2. Apply standard techniques of linear algebra, complex numbers and calculus 3. Demonstrate a repertoire of problem-solving skills and an ability to generalise and transfer ideas, appropriate to simple engineering applications of mathematical concepts 4. Make effective use of a mathematical software tool such as Matlab in understanding, solving and visualising simple engineering mathematics problems 5. Use references to appropriately acknowledge the work of others in any work that they submit for assessment 6. Demonstrate self-learning skills for the use of mathematical techniques in engineering contexts, with particular reference to (i) recognising and remedying gaps in their mathematical knowledge and (ii) developing strategies for life-long learning 7. Use mathematical terminology and formulae to communicate effectively to other technically literate people | |||||||||||||||||||||||||||||||||||||
All module information is indicative and subject to change. For further information,students are advised to refer to the University's Marks and Standards and Programme Specific Regulations at: http://www.dcu.ie/registry/examinations/index.shtml |
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Indicative Content and
Learning Activities Advanced vector operations/applicationsMatrix AlgebraComplex NumbersLimits and continuityDifferentiation and application including differential calculusExtrema and sketchingTaylor series & approximationAnti-differentiation and areaDefinite and indefinite IntegralsFundamental theorem of calculusApplications involving the integral as a SumSystematic techniques for integrationIntroduction to first and second order ordinary differential equationsAnalytic solution methods for ODEs, Numerical methods in the solution of ODEs | |||||||||||||||||||||||||||||||||||||
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Indicative Reading List
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Other Resources None | |||||||||||||||||||||||||||||||||||||
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