Availabilities:

2021 unit offering information will be available in September 2020

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.

Learning outcomes

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.

GA1: Intellectual rigour, GA2: Creativity, GA3: Ethical practice, GA4: Knowledge of a discipline, GA5: Lifelong learning, GA6: Communication and social skills, GA7: Cultural competence
On completion of this unit, students should be able to:GA1GA2GA3GA4GA5GA6GA7
1demonstrate a sound knowledge and understanding of the concepts of linear algebraIntellectual rigourKnowledge of a disciplineCommunication and social skills
2demonstrate a proficiency in applying techniques from linear algebraIntellectual rigourKnowledge of a disciplineCommunication and social skills
3apply appropriate techniques from linear algebra to 'real world' problemsIntellectual rigourKnowledge of a disciplineCommunication and social skills
4communicate mathematical ideas, processes and results effectively at different levels of formality.Intellectual rigourKnowledge of a disciplineCommunication and social skills

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

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

Prescribed texts

  • Anton, H & Rorres, C, 2014, Elementary linear algebra with applications, 11th edn, Wiley, Hoboken, NJ.
Prescribed texts may change in future study periods.

Teaching and assessment

Teaching method
Tutorial online 1 hour (8 weeks)
Assessment
QuizSR
Applied and theoretical problems. Mathematical calculations25%
Applied and theoretical problems. Mathematical calculations25%
Exam: closed book50%
Notice

Intensive offerings may or may not be scheduled in every session. Please refer to the timetable for further details.

Southern Cross University employs different teaching methods within units to provide students with the flexibility to choose the mode of learning that best suits them. SCU academics strive to use the latest approaches and, as a result, the learning modes and materials may change. The most current information regarding a unit will be provided to enrolled students at the beginning of the study session.

Fee information

Domestic

Commonwealth Supported courses
For information regarding Student Contribution Amounts please visit the Student Contribution Amounts.
Commencing 2021 Commonwealth Supported only. Student contribution band: 2

Fee paying courses
For POSTGRADUATE or UNDERGRADUATE full fee paying courses please check Domestic Postgraduate Fees OR Domestic Undergraduate Fees

International

Please check the international course and fee list to determine the relevant fees.

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