Module Specifications..
Current Academic Year 2023 - 2024
Please note that this information is subject to change.
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None Examination in August repeat exam diet |
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Description The purpose of this module is to introduce to students who have successfully completed Linear Mathematics 1 further foundational topics in Linear Algebra. The emphasis is on students gaining a sound knowledge of basics and fundamental computational skills. Eigenvalues and eigenvectors are important in calculus of several variables, probability and statistics. The course is delivered through a combination of lectures, and tutorials facilitated by a tutor. | |||||||||||||||||||||||||||||||||||||||
Learning Outcomes 1. demonstrate computational skills by solving wide range of drill problems related to the indicative syllabus 2. state selected definitions and theorems related to the indicative syllabus 3. solve exercises that test understanding of these definitions and theorems 4. explain arguments used to prove selected theorems in special cases | |||||||||||||||||||||||||||||||||||||||
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
Vector SpacesSpaces of real and complex vectors; linear mappings; subspaces; linear independence; basis and dimension; row space, column space and null space; rank and nullityInner product spacesstandard inner products; Cauchy-Schwarz inequality; angle and orthogonality; orthonormal bases and Gram-Schmidt procedure; orthogonal matrices; positive and negative definite matrices; least squares approximation; least square solutions; orthogonal projectionsEigenvalues and EigenvectorsEigenvalues and eigenvectors; diagonalisation; Diagonalisation of symmetric and Hermitian matrices | |||||||||||||||||||||||||||||||||||||||
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Indicative Reading List
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Other Resources None | |||||||||||||||||||||||||||||||||||||||
Programme or List of Programmes | |||||||||||||||||||||||||||||||||||||||
Date of Last Revision | 18-JUN-08 | ||||||||||||||||||||||||||||||||||||||
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