Latest Module Specifications
Current Academic Year 2025 - 2026
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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. Apply a repertoire of problem-solving skills, including the ability to generalise and transfer ideas, appropriate to simple engineering applications of mathematical concepts 4. Apply 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 5. Use mathematical terminology and formulae to communicate effectively to other technically literate people | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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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/applications Matrix Algebra Complex Numbers Limits and continuity Differentiation and application including differential calculus Extrema and sketching Taylor series & approximation Anti-differentiation and area Definite and indefinite Integrals Fundamental theorem of calculus Applications involving the integral as a Sum Systematic techniques for integration Introduction to first and second order ordinary differential equations Analytic solution methods for ODEs, Numerical methods in the solution of ODEs | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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Indicative Reading List Books:
Articles: None | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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Other Resources None | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||