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MA2508: LINEAR ALGEBRA II (2024-2025)

Last modified: 22 Aug 2024 12:16


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 Undergraduate Level 2
Term Second Term Credit Points 15 credits (7.5 ECTS credits)
Campus Aberdeen Sustained Study No
Co-ordinators
  • Dr Jean-Baptiste Gramain
  • Professor Jaroslaw J. Kedra

Qualification Prerequisites

  • Programme Level 2

What courses & programmes must have been taken before this course?

What other courses must be taken with this course?

None.

What courses cannot be taken with this course?

None.

Are there a limited number of places available?

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

More Information about Week Numbers


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

Summative Assessments

Design Project: Group

Assessment Type Summative Weighting 25
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Group Exercise Creation

Learning Outcomes
Knowledge LevelThinking SkillOutcome
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Oral Presentation: Group

Assessment Type Summative Weighting 15
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12-minute Group Project Video Presentation

Learning Outcomes
Knowledge LevelThinking SkillOutcome
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Reflective Report

Assessment Type Summative Weighting 20
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Learning Journal

Learning Outcomes
Knowledge LevelThinking SkillOutcome
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Report: Group

Assessment Type Summative Weighting 25
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Group Project Report, 5 pages

Learning Outcomes
Knowledge LevelThinking SkillOutcome
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Class Test

Assessment Type Summative Weighting 15
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10 x Weekly Quizzes

Learning Outcomes
Knowledge LevelThinking SkillOutcome
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Formative Assessment

There are no assessments for this course.

Resit Assessments

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

Assessment Type Summative Weighting
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Individual tasks will be assigned in place of group work

Learning Outcomes
Knowledge LevelThinking SkillOutcome
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Course Learning Outcomes

Knowledge LevelThinking SkillOutcome
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