| Module Title |
Linear Algebra |
| Module Code |
MTH1034 (ITS: MS200) |
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Faculty |
Mathematical Sciences |
School |
Science & Health |
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NFQ level |
8 |
Credit Rating |
5 |
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Description
This module will introduce students to the notions of vectors, matrices and linear maps in the context of Euclidean Space. The module aims to give students a working knowledge of the methods and applications of linear algebra. Applications will be chosen with their significance to the students disciplines in mind. Students will attend lectures on the course material and will work, independently, to solve problems on topics related to the course material. The students will have an opportunity to review their solutions, with guidance, at weekly tutorials.
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Learning Outcomes
1. solve systems of linear equations.
2. perform various operations with vectors and matrices.
3. apply linear algebraic methods to geometic problems in 2 and 3 dimensions.
4. demonstrate an understanding of concepts by use of examples or counterexamples.
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| Workload | Full time hours per semester | | Type | Hours | Description |
|---|
| Lecture | 24 | Students will attend lectures where new material will be presented and explained. Also attention will be drawn to various supporting material and tutorials as the course progresses. | | Tutorial | 12 | Students will show their solutions to homework questions and will receive help with and feed-back on these solutions. | | Independent Study | 89 | Corresponding to each lecture students will devote approximately one and a half additional hours of independent study to the material discussed in that lecture or to work on support material when attention is drawn to such in lectures. Before each tutorial students will devote approximately three and a half hours to solving homework problems which are to be discussed in that tutorial. |
| Total Workload: 125 |
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| Section Breakdown | | CRN | 12011 | Part of Term | Semester 1 | | Coursework | 0% | Examination Weight | 0% | | Grade Scale | 40PASS | Pass Both Elements | Y | | Resit Category | RC3 | Best Mark | Y | | Module Co-ordinator | Abraham Harte | Module Teacher | |
| | Section Breakdown | | CRN | 20842 | Part of Term | Semester 2 | | Coursework | 0% | Examination Weight | 0% | | Grade Scale | 40PASS | Pass Both Elements | Y | | Resit Category | RC3 | Best Mark | Y | | Module Co-ordinator | Ronan Egan | Module Teacher | Abraham Harte |
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| Assessment Breakdown |
| Type | Description | % of total | Assessment Date |
|---|
| In Class Test | n/a | 20% | Week 1 | | Formal Examination | End-of-Semester Final Examination | 100% | End-of-Semester |
| Reassessment Requirement Type |
Resit arrangements are explained by the following categories;
RC1: A resit is available for both* components of the module.
RC2: No resit is available for a 100% coursework module.
RC3: No resit is available for the coursework component where there is a coursework and summative examination element.
* ‘Both’ is used in the context of the module having a coursework/summative examination split; where the module is 100% coursework, there will also be a resit of the assessment
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Pre-requisite |
None
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Co-requisite |
None |
| Compatibles |
None |
| Incompatibles |
None |
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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
Systems of Linear Equations
Introduction to Systems of Linear Equations, Gaussian Elimination, Consistent and Inconsistent Systems.
Matrices
Matrices and Matrix Operations, Square Matrices, Determinants, Inverses, More Systems of Linear Equations
Vectors
Vectors in the plane, Vectors in space, Applications to Geometry, n-component vectors, linear independence and bases, Gram-Schmidt Process Linear transformations
Eigenvectors
Eigenvalues, Eigenvectors and Diagonalization.
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Indicative Reading List
Books:
- Howard Anton and Chris Rorres: 2000, Elementary Linear Algebra, (Applications Version)., 8, Wiley, 0471170526
- Howard Anton: 2005, Elementary Linear Algebra., 9, Wiley, 0471669601
- Noble, B. and Daniels, J.: 1988, Applied Linear Algebra, 3, Prentice Hall, 0130412600
Articles:
None |
Other Resources
None |
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