Module Specifications.
Current Academic Year 2024 - 2025
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Date posted: September 2024
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Description This course concentrates on developing the algebraic and logical skills of the student. The course develops skills in the techniques of logic, probability, differential and integral calculus. 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 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 basic probability. | |||||||||||||||||||||||||||||||||||||||||||
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
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. Probability Basic probability to include axioms, independent events, conditional probability and some probabiilty distributions. Functions Functions as a special case of relations, Injective, surjective and bijective functions, one-sided inverses, inverse functions, polynomials and the remainder theorem. Domain and range of functions. | |||||||||||||||||||||||||||||||||||||||||||
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Indicative Reading List
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