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  2. Linear Algebra [MAT1163]

Faculty of Health, Engineering and Science

School: Engineering

This unit information may be updated and amended immediately prior to semester. To ensure you have the correct outline, please check it again at the beginning of semester.

  • Unit Title

    Linear Algebra

  • Unit Code

    MAT1163

  • Year

    2015

  • Enrolment Period

    1

  • Version

    2

  • Credit Points

    15

  • Full Year Unit

     N

  • Mode of Delivery

    On Campus

Description

This unit provides an introduction to the concepts of linear algebra: vectors in 2, 3 and n-dimensional space, analytic geometry, matrices and matrix arithmetic, solution of systems of linear equations, eigenvalues and eigenvectors. These concepts are illustrated by their application.

Prerequisite Rule

For COURSE_CODE NOT IN K94, Y13, Y28, Y44, Y45, Y46, Y47, Y49, Y50, Y51, Y54, Y55, Y60, Y64, Y65, Y66, Y74, Y75 Do (Scaled Score in MAT3C/3D > 49.99 OR Students must pass 1 units from MAT1137) Otherwise true

Equivalent Rule

Unit was previously coded MAT4163

Learning Outcomes

On completion of this unit students should be able to:

  1. Communicate their understanding of concepts in linear algebra and explain their solutions to problems involving techniques of linear algebra in written form.
  2. Demonstrate competence in constructing and solving systems of linear equations.
  3. Demonstrate competence in matrix, and vector arithmetic.
  4. Determine eigenvalues and eigenvectors of a matrix and characterise the associated linear transformation in terms of its eigenvalues.
  5. Use calculators and/or MATLAB to solve problems in linear algebra.
  6. Use the reduced row echelon form of a matrix to determine bases for the fundamental subspaces associated with the given matrix.

Unit Content

  1. Eigenvalues and eigenvectors, diagonalization of matrices, eigenvalues of the matrices of transformations of the plane.
  2. Matrix arithmetic, inverse of a matrix, solution sets of systems of linear equations; determinants and their properties.
  3. Matrix transformations: null space, and column space of a matrix.
  4. N-dimensional Euclidean space, linear independence, bases, projections and orthogonality.
  5. Vector arithmetic, dot product, cross product.

Additional Learning Experience Information

Lectures, tutorials, workshops.

Assessment

GS1 GRADING SCHEMA 1 Used for standard coursework units

Students please note: The marks and grades received by students on assessments may be subject to further moderation. All marks and grades are to be considered provisional until endorsed by the relevant Board of Examiners.

ON CAMPUS
TypeDescriptionValue
TestTheory and practical tests20%
AssignmentTheory and problem solving assignments30%
Examination ^End of semester examination50%

^ Mandatory to Pass

Text References

  • ^ Lay, D. (2011). Linear algebra and its applications (4th ed.). Sydney: Pearson Education/Addison Wesley.
  • Strang, G. (2006). Linear algebra and its applications (4th ed.). Southbank: Thomson Learning Australia.
  • Spence, L. E., Insel, A. J., & Friedberg, S.H. (2008). Elementary linear algebra: a matrix approach. Upper Saddle River: Pearson.
  • Anton, H., & Rorres, C. (2005). Elementary linear algebra (9th ed.). New York: Wiley.
  • Kolman, B., & Hill, D.R. (2008). Elementary linear algebra with applications (9th ed.). Upper Saddle River: Pearson.

^ Mandatory reference

Disability Standards for Education (Commonwealth 2005)

For the purposes of considering a request for Reasonable Adjustments under the Disability Standards for Education (Commonwealth 2005), inherent requirements for this subject are articulated in the Unit Description, Learning Outcomes and Assessment Requirements of this entry. The University is dedicated to provide support to those with special requirements. Further details on the support for students with disabilities or medical conditions can be found at the Access and Inclusion website.

Academic Misconduct

Edith Cowan University has firm rules governing academic misconduct and there are substantial penalties that can be applied to students who are found in breach of these rules. Academic misconduct includes, but is not limited to:

  • plagiarism;
  • unauthorised collaboration;
  • cheating in examinations;
  • theft of other students' work;

Additionally, any material submitted for assessment purposes must be work that has not been submitted previously, by any person, for any other unit at ECU or elsewhere.

The ECU rules and policies governing all academic activities, including misconduct, can be accessed through the ECU website.

MAT1163|2|1

Faculty of Health, Engineering and Science

School: Engineering

This unit information may be updated and amended immediately prior to semester. To ensure you have the correct outline, please check it again at the beginning of semester.

  • Unit Title

    Linear Algebra

  • Unit Code

    MAT1163

  • Year

    2015

  • Enrolment Period

    2

  • Version

    2

  • Credit Points

    15

  • Full Year Unit

     N

  • Mode of Delivery

    On Campus

Description

This unit provides an introduction to the concepts of linear algebra: vectors in 2, 3 and n-dimensional space, analytic geometry, matrices and matrix arithmetic, solution of systems of linear equations, eigenvalues and eigenvectors. These concepts are illustrated by their application.

Prerequisite Rule

For COURSE_CODE NOT IN K94, Y13, Y28, Y44, Y45, Y46, Y47, Y49, Y50, Y51, Y54, Y55, Y60, Y64, Y65, Y66, Y74, Y75 Do (Scaled Score in MAT3C/3D > 49.99 OR Students must pass 1 units from MAT1137) Otherwise true

Equivalent Rule

Unit was previously coded MAT4163

Learning Outcomes

On completion of this unit students should be able to:

  1. Communicate their understanding of concepts in linear algebra and explain their solutions to problems involving techniques of linear algebra in written form.
  2. Demonstrate competence in constructing and solving systems of linear equations.
  3. Demonstrate competence in matrix, and vector arithmetic.
  4. Determine eigenvalues and eigenvectors of a matrix and characterise the associated linear transformation in terms of its eigenvalues.
  5. Use calculators and/or MATLAB to solve problems in linear algebra.
  6. Use the reduced row echelon form of a matrix to determine bases for the fundamental subspaces associated with the given matrix.

Unit Content

  1. Eigenvalues and eigenvectors, diagonalization of matrices, eigenvalues of the matrices of transformations of the plane.
  2. Matrix arithmetic, inverse of a matrix, solution sets of systems of linear equations; determinants and their properties.
  3. Matrix transformations: null space, and column space of a matrix.
  4. N-dimensional Euclidean space, linear independence, bases, projections and orthogonality.
  5. Vector arithmetic, dot product, cross product.

Additional Learning Experience Information

Lectures, tutorials, workshops.

Assessment

GS1 GRADING SCHEMA 1 Used for standard coursework units

Students please note: The marks and grades received by students on assessments may be subject to further moderation. All marks and grades are to be considered provisional until endorsed by the relevant Board of Examiners.

ON CAMPUS
TypeDescriptionValue
TestTheory and practical tests20%
AssignmentTheory and problem solving assignments30%
Examination ^End of semester examination50%

^ Mandatory to Pass

Text References

  • ^ Lay, D. (2011). Linear algebra and its applications (4th ed.). Sydney: Pearson Education/Addison Wesley.
  • Strang, G. (2006). Linear algebra and its applications (4th ed.). Southbank: Thomson Learning Australia.
  • Spence, L. E., Insel, A. J., & Friedberg, S.H. (2008). Elementary linear algebra: a matrix approach. Upper Saddle River: Pearson.
  • Anton, H., & Rorres, C. (2005). Elementary linear algebra (9th ed.). New York: Wiley.
  • Kolman, B., & Hill, D.R. (2008). Elementary linear algebra with applications (9th ed.). Upper Saddle River: Pearson.

^ Mandatory reference

Disability Standards for Education (Commonwealth 2005)

For the purposes of considering a request for Reasonable Adjustments under the Disability Standards for Education (Commonwealth 2005), inherent requirements for this subject are articulated in the Unit Description, Learning Outcomes and Assessment Requirements of this entry. The University is dedicated to provide support to those with special requirements. Further details on the support for students with disabilities or medical conditions can be found at the Access and Inclusion website.

Academic Misconduct

Edith Cowan University has firm rules governing academic misconduct and there are substantial penalties that can be applied to students who are found in breach of these rules. Academic misconduct includes, but is not limited to:

  • plagiarism;
  • unauthorised collaboration;
  • cheating in examinations;
  • theft of other students' work;

Additionally, any material submitted for assessment purposes must be work that has not been submitted previously, by any person, for any other unit at ECU or elsewhere.

The ECU rules and policies governing all academic activities, including misconduct, can be accessed through the ECU website.

MAT1163|2|2