Last modified: 23 Jul 2024 10:43
Linear algebra is the study of linear equations and matrices. At a more abstract level, it concerns vector spaces and linear maps between them, and it is a central subject within mathematics. It provides foundations for almost all branches of mathematics and sciences in general. The techniques are used in engineering, physics, computer science, economics and others.
| Study Type | Undergraduate | Level | 1 |
|---|---|---|---|
| Term | First Term | Credit Points | 15 credits (7.5 ECTS credits) |
| Campus | Offshore | Sustained Study | No |
| Co-ordinators |
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This course is an introduction to linear algebra over the real numbers and the complex numbers. It covers linear equations and matrices, vector spaces and linear maps, and eigenvectors and eigenvalues.
Syllabus
Information on contact teaching time is available from the course guide.
| Assessment Type | Summative | Weighting | 10 | |
|---|---|---|---|---|
| Assessment Weeks | Feedback Weeks | |||
| Feedback |
Solutions provided |
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| Knowledge Level | Thinking Skill | Outcome |
|---|---|---|
| Conceptual | Analyse | Ability to prove elementary results about linear independence, basis and dimension |
| Conceptual | Understand | Understand the connections among linear transformations, matrices and systems of linear equations |
| Conceptual | Understand | Ability to state and understand the main definitions and theorems of the course |
| Factual | Understand | Understand the basic concepts of linear algebra, such as vector spaces and linear transformations |
| Factual | Understand | Understand the concepts of linear independence, basis and dimension |
| Factual | Understand | Ability to calculate rank, nullity and matrix inverses. |
| Factual | Understand | Understand the concepts of rank, nullity and invertibility of matrices and linear transformations |
| Factual | Understand | Ability to calculate matrix determinants |
| Procedural | Apply | Ability to calculate eigenvalues and eigenspaces and to diagonalize matrices |
| Procedural | Apply | Ability to row reduce matrices and solve systems of linear equations |
| Assessment Type | Summative | Weighting | 70 | |
|---|---|---|---|---|
| Assessment Weeks | Feedback Weeks | |||
| Feedback |
Students to have opportunity to discuss script |
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| Knowledge Level | Thinking Skill | Outcome |
|---|---|---|
| Conceptual | Analyse | Ability to prove elementary results about linear independence, basis and dimension |
| Conceptual | Understand | Ability to state and understand the main definitions and theorems of the course |
| Conceptual | Understand | Understand the connections among linear transformations, matrices and systems of linear equations |
| Factual | Understand | Ability to calculate matrix determinants |
| Factual | Understand | Understand the concepts of rank, nullity and invertibility of matrices and linear transformations |
| Factual | Understand | Understand the concepts of linear independence, basis and dimension |
| Factual | Understand | Understand the basic concepts of linear algebra, such as vector spaces and linear transformations |
| Factual | Understand | Ability to calculate rank, nullity and matrix inverses. |
| Procedural | Apply | Ability to row reduce matrices and solve systems of linear equations |
| Procedural | Apply | Ability to calculate eigenvalues and eigenspaces and to diagonalize matrices |
| Assessment Type | Summative | Weighting | 20 | |
|---|---|---|---|---|
| Assessment Weeks | Feedback Weeks | |||
| Feedback |
Mid-term quiz |
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| Knowledge Level | Thinking Skill | Outcome |
|---|---|---|
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There are no assessments for this course.
| Assessment Type | Summative | Weighting | 100 | |
|---|---|---|---|---|
| Assessment Weeks | Feedback Weeks | |||
| Feedback | ||||
| Knowledge Level | Thinking Skill | Outcome |
|---|---|---|
|
|
||
| Knowledge Level | Thinking Skill | Outcome |
|---|---|---|
| Factual | Understand | Ability to calculate rank, nullity and matrix inverses. |
| Conceptual | Understand | Understand the connections among linear transformations, matrices and systems of linear equations |
| Factual | Understand | Ability to calculate matrix determinants |
| Conceptual | Analyse | Ability to prove elementary results about linear independence, basis and dimension |
| Procedural | Apply | Ability to row reduce matrices and solve systems of linear equations |
| Procedural | Apply | Ability to calculate eigenvalues and eigenspaces and to diagonalize matrices |
| Factual | Understand | Understand the concepts of linear independence, basis and dimension |
| Factual | Understand | Understand the concepts of rank, nullity and invertibility of matrices and linear transformations |
| Conceptual | Understand | Ability to state and understand the main definitions and theorems of the course |
| Factual | Understand | Understand the basic concepts of linear algebra, such as vector spaces and linear transformations |
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