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## Course Overview

Linear algebra is the study of 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. For example, special relativity and quantum mechanics are formulated within the framework of linear algebra.

The two courses Linear Algebra I and II aim at providing a solid foundation of the subject.

### Course Details

Study Type Level Undergraduate 2 Second Sub Session 15 credits (7.5 ECTS credits) Aberdeen No Dr Jean-Baptiste Gramain

### Qualification Prerequisites

• Programme Level 2

None.

None.

No

### Course Description

This is the second part of the two parts course on linear algebra. The whole course contains the following topics:

* Fields
* Vector spaces
* Linear maps
* Matrices
* Linear equations
* Eigenvalues and eigenvectors

Syllabus

• The ring of polynomials with coefficients in a field.
• The various definitions of the determinant. Properties and methods of calculation. Finding the inverse of a matrix using cofactors.
• Eigenvalues and eigenvectors of square matrices and of endomorphisms. Properties.
• Diagonalization
• Minimal polynomial, characteristic polynomial, Cayley-Hamilton theorem.
• Orthogonal bases and the Gram-Schmidt procedure.
• Product spaces, symmetric matrices, orthogonal transformations, unitary transformations.
• Jordan normal forms if time allows.

### Contact Teaching Time

Information on contact teaching time is available from the course guide.

### Teaching Breakdown

Details, including assessments, may be subject to change until 30 August 2024 for 1st half-session courses and 20 December 2024 for 2nd half-session courses.

### Summative Assessments

#### Design Project: Group

Assessment Type Weighting Summative 25 Group Exercise Creation
##### Learning Outcomes
Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

#### Report: Group

Assessment Type Weighting Summative 25 Group Project Report, 5 pages
##### Learning Outcomes
Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

#### Oral Presentation: Group

Assessment Type Weighting Summative 15 12-minute Group Project Video Presentation
##### Learning Outcomes
Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

#### Reflective Report

Assessment Type Weighting Summative 20 Learning Journal
##### Learning Outcomes
Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

#### Class Test

Assessment Type Weighting Summative 15 10 x Weekly Quizzes
##### Learning Outcomes
Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

### Formative Assessment

There are no assessments for this course.

### Resit Assessments

#### Resubmission/resit of failed elements (pass marks carried forward)

Assessment Type Summative Individual tasks will be assigned in place of group work
##### Learning Outcomes
Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

### Course Learning Outcomes

Knowledge LevelThinking SkillOutcome
FactualRememberNot Available

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