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As such, this is a point in time view of data which will be refreshed periodically.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 focuses on the reasoning and technical skills necessary for students to become proficient in applying mathematical concepts and tools of calculus. This module reviews foundation mathematics, introduces matrices and complex numbers, and develops the computational skills and techniques of integral calculus. | |||||||||||||||||||||||||||||||||||||||||||
Learning Outcomes 1. solve inequalities, and perform elementary computations involving matrices and complex numbers 2. integrate algebraic, trigonometric, logarithmic and exponential functions 3. use integrals to solve applied problems 4. understand how finite sums can be used to estimate an area and connect finite sums to the definition of an integral 5. find partial derivatives, and solve related rates 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 solving inequalities Matrices basic matrix operations; transpose; the identity matrix. Integration estimating with finite sums; sigma notation and limits of finite sums; the definite integral; the fundamental theorem of calculus; indefinite integrals and substitution; area under curves. Techniques of Integration basic integration formulae; integration by substitution; integration by parts; partial fraction decomposition; initial value problems; exponential growth and decay More on differentiation implicit differentiation; related rates; partial derivatives Complex Numbers Basic operations; complex roots of polynomial with real coefficients. | |||||||||||||||||||||||||||||||||||||||||||
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Indicative Reading List
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Other Resources None | |||||||||||||||||||||||||||||||||||||||||||