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).
As such, this is a point in time view of data which will be refreshed periodically. Some fields/data may not yet be available pending the completion of the full Coursebuilder upgrade and integration project. We will post status updates as they become available. Thank you for your patience and understanding.
Date posted: September 2024
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Description This module focusses on the reasoning and technical skills necessary for students to become proficient in applying the mathematical concepts and tools of calculus. This module reviews foundation mathematics and develops the computational skills and techniques of differential calculus. | |||||||||||||||||||||||||||||||||||||||||||
Learning Outcomes 1. solve elementary questions dealing with pre-calculus concepts 2. state selected definitions and theorems 3. evaluate limits of functions and determine when a function is continuous 4. find derivatives of functions and understand the relationship between derivatives, rates of change and tangent lines 5. apply derivatives to sketch graphs of functions, find solutions to equations, and solve optimisation problems | |||||||||||||||||||||||||||||||||||||||||||
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
Preliminaries sets, intervals, lines. Functions definition, domain and range, even and odd, classes of functions, combining functions. Limits & Continuity properties of limits, one-sided limits, limits at infinity, continuity, I.V.T., l'Hopital's Rule. Differentiation derivative as a function, rates of change and tangent lines, rules of differentiation, higher-order derivatives. Applications extreme values, M.V.T., monotonicity and first derivative test, concavity and second derivative test, graph sketching, applied optimisation problems. | |||||||||||||||||||||||||||||||||||||||||||
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Indicative Reading List
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Other Resources None | |||||||||||||||||||||||||||||||||||||||||||