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Unit of Study MAT10720 - Linear Algebra (2018)

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Unit Snapshot

  • Unit type

    UG Coursework Unit

  • Credit points

    12

  • AQF level

    7

  • Level of learning

    Intermediate

  • Former School/College

    Former School of Education

  • Enrolment information

    N/A

Unit description

Introduces students to the theory, techniques and applications of linear algebra. Topics include matrices and determinants, vectors, vector and inner product spaces, linear transformations.

Unit content

Topics 1 and 2: Matrices and determinants - Matrix definitions and operations - Inverse matrices - Determinants, evaluation and properties - Diagonal, triangular and symmetric matrices.

Topics 3 and 4: Vectors - Definitions - Basic operations and algebra of vectors.

Topics 5 to 8: Vector spaces Euclidean and general vector spaces and subspaces - Linear independence - Basis and dimension - Linear transformations.

Topic 9: Inner product spaces - Inner product - Orthonormal bases.

Topic 10: Eigenvalues and eigenvectors - Eigenvalues and eigenvectors - Diagonalisation and orthogonal diagonalisation.

Availabilities

Location Domestic International
Online Session 1,  2 Session 2

Learning outcomes and graduate attributes

Unit Learning Outcomes express learning achievement in terms of what a student should know, understand and be able to do on completion of a unit. These outcomes are aligned with the graduate attributes. The unit learning outcomes and graduate attributes are also the basis of evaluating prior learning.

On completion of this unit, students should be able to:

GA1: Intellectual rigour, GA2: Creativity, GA3: Ethical practice, GA4: Knowledge of a discipline, GA5: Lifelong learning, GA6: Communication and social skills, GA7: Cultural competence
Learning outcome count Learning outcome description GA1 GA2 GA3 GA4 GA5 GA6 GA7
1 demonstrate a sound knowledge and understanding of the concepts of linear algebra
2 demonstrate a proficiency in applying techniques from linear algebra
3 apply appropriate techniques from linear algebra to 'real world' problems
4 communicate mathematical ideas, processes and results effectively at different levels of formality.

On completion of this unit, students should be able to:

  1. demonstrate a sound knowledge and understanding of the concepts of linear algebra
    • GA1:
    • GA4:
    • GA6:
  2. demonstrate a proficiency in applying techniques from linear algebra
    • GA1:
    • GA4:
    • GA6:
  3. apply appropriate techniques from linear algebra to 'real world' problems
    • GA1:
    • GA4:
    • GA6:
  4. communicate mathematical ideas, processes and results effectively at different levels of formality.
    • GA1:
    • GA4:
    • GA6:

Prescribed learning resources

Prescribed Texts
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Prescribed Texts
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Prescribed Learning Resources may change in future Teaching Periods.