Module Specifications.
Current Academic Year 2024 - 2025
All Module information is indicative, and this portal is an interim interface pending the full upgrade of Coursebuilder and subsequent integration to the new DCU Student Information System (DCU Key).
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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 differential and integral calculus. Enhancing the student's ability to solve mathematical problems occurring 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. Work confidently with functions and in particular those covered in the course. 2. 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 trigonometric, logarithmic and exponential functions. 3. Apply the techniques of differential and integral calculus to simple problems relating to curve sketching, optimisation and areas under the curve. | |||||||||||||||||||||||||||||||||||||||||||
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
Functions Domain and range of functions. Ways to combine functions (sums, products, compositions). Polynomials and rational, trigonometric and exponential functions. Equalities and inequalities. Limits & Continuity Simple finite and infinite limits. Simple tests to establish if piecewise-defined functions are continuous. Calculus Techniques of differentiation (first principles, product, quotient and chain rules) and integration (substitution and integration-by-parts). Curve sketching, optimisation and area under the curve applications. | |||||||||||||||||||||||||||||||||||||||||||
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Indicative Reading List
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