Registry
Module Specifications
Current Academic Year 2012 - 2013
Please note that this information is subject to change.
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| Description | |||||||||||||||||||||||||||||||||||||||||||||
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This course concentrates on developing the algebraic and logical skills of the student. The course develops skills in the techniques of logic, calculus, probability and statistics. Enhancing the student's ability to solve mathematical problems occuring in IT lies at the heart of this module.Students will participate in the following learning activities: Lectures: Students will attend three one-hour lectures per week. These lectures are designed to introduce learners to the mathematical principles and problem solving techniques that underpin this module. Tutorials: Each student will attend one one-hour tutorial per week. Problem sheets based on lecture content are distributed to the students and they are strongly advised to attempt all tutorial questions in advance of the tutorial.Reading: Students are expected to fully utilise the textbooks recommended. | |||||||||||||||||||||||||||||||||||||||||||||
| Learning Outcomes | |||||||||||||||||||||||||||||||||||||||||||||
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1. Apply the methods of discrete mathematics, including sets and relations. 2. Use logic to demonstrate the equivalence of statements and test the validity of arguments. 3. Work confidently with functions and in particular those covered in the course. 4. Demonstrate an understanding of the concepts that arise in differential and integral calculus and be able to apply the calculus to rational functions as well as to the log and the exponential functions 5. Present and draw conclusions from statistical data. | |||||||||||||||||||||||||||||||||||||||||||||
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 | |||||||||||||||||||||||||||||||||||||||||||||
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Set Theory/Logic. Sets, relations, equivalence relations and partitions, partial ordering, inverse relations, composition of relations, applications of relations to databases, predicate logic as a language, methods of proof, mathematical induction. Boolean algebra, equivalent boolean expressions.. Functions. Functions as a special case of relations, Injective, surjective and bijective functions, one-sided inverses, inverse functions, polynomials and the remainder theorem.. Graph Theory. Directed and undirected graphs, cycles, connectivity, shortest paths, examples in practice (network flows, internet pages as a graph).. Calculus. Differential calculus of rational functions, the Riemann integral, the fundamental theorem of calculus, log and exponential functions.. Statistics. Descriptive statistics, mean and variance, the normal distribution, random samples, point estimation, confidence intervals, statistical calculations with Excel.. | |||||||||||||||||||||||||||||||||||||||||||||
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| Indicative Reading List | |||||||||||||||||||||||||||||||||||||||||||||
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| Other Resources | |||||||||||||||||||||||||||||||||||||||||||||
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| Programme or List of Programmes | |||||||||||||||||||||||||||||||||||||||||||||
| CA | BSc in Computer Applications | ||||||||||||||||||||||||||||||||||||||||||||
| EC | BSc in Enterprise Computing | ||||||||||||||||||||||||||||||||||||||||||||
| Timetable this semester: Timetable for MS121 | |||||||||||||||||||||||||||||||||||||||||||||
| Date of Last Revision | 11-OCT-10 | ||||||||||||||||||||||||||||||||||||||||||||
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