MTH5112 - Linear Algebra I - 2023/24
| Topic | Name | Description |
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These are the typeset lecture notes for the whole module and are essentially our textbook. I may modify them slightly as we go along, in order to correct typos or improve the exposition of the material. Material covered each week will be indicated in weekly tabs below, where you will also find handwritten weekly lecture notes. Although the lecture notes will define the module's assessable content, there are many, many books and online resources on linear algebra available. Two recommended books (of which there are numerous versions) are:
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| Module description | ||
| Week 1 - Review of Vectors and Matrices | ||
Used to set up your WebWork account, not assessed. |
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| Week 2 - Vector spaces | ||
| week 3 - Span | ||
| week 4 - Linear Independence, basis, dimension | ||
| Week 5 - Coordinates, Linear Transformations | ||
| week 6 - Linear transformations | ||
| Week 8, Change of Basis, Isomorphisms | ||
| week 9 - Eigenvalues and eigenvectors | ||
| week 10 - Orthogonality | ||
| Week 11-Orthogonal projections, spectral theorem, least squares | ||
| Week 12 - Revision and Applications of Linear Algebra | ||
| Assessment | ||
| General course materials | These are the typeset lecture notes for the whole module and are essentially our textbook. I may modify them slightly as we go along, in order to correct typos or improve the exposition of the material. Material covered each week will be indicated in weekly tabs below, where you will also find handwritten weekly lecture notes, pre-recorded lectures and synchronous lectures and their recording. Although the lecture notes will define the module's assessable content, there are many, many books and online resources on linear algebra available. Two recommended books (of which there are numerous versions) are:
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