School: Science

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

    Mathematics 2
  • Unit Code

    MAT1251
  • Year

    2021
  • Enrolment Period

    1
  • Version

    2
  • Credit Points

    15
  • Full Year Unit

    N
  • Mode of Delivery

    On Campus
    Online
  • Unit Coordinator

    Dr Julia COLLINS

Description

This unit provides an introduction to linear algebra, operations research, probability and their application to problems arising in applied contexts. Students will be introduced to the vectors, matrices, the solution of linear systems of equations, the formulation and solution of linear programming problems, network optimisation, continuous probability distributions and reliability analysis. This unit is designed for students who have passed ATAR Mathematics Methods or MAT1137 Introductory Applied Mathematics or equivalent.

Prerequisite Rule

Students must have passed MAT1137 or must have achieved a scaled score >49.99 in ATAR Mathematics Methods or ATAR Mathematics Specialist or WACE MAT3C/3D or equivalent.

Learning Outcomes

On completion of this unit students should be able to:

  1. Identify and apply appropriate mathematics and statistics techniques to solve mathematical and statistical problems.
  2. Identify and apply appropriate mathematics and statistics techniques to solve applied problems.
  3. Make use of numeric computing packages to aid in understanding and solving problems in abstract and applied contexts.
  4. Communicate solutions to problems involving the application of mathematics and statistics techniques in a coherent written form.

Unit Content

  1. Linear Algebra – Vectors in Euclidean space (vector arithmetic); matrices (matrix algebra, determinants, eigenvectors and eigenvalues); solution of systems of linear equations; applications to applied problems (normal equation approach to linear regression).
  2. Operations Research – Formulation of a linear programming problem; the simplex method; sensitivity and duality; PERT.
  3. Statistics – Review of continuous random variables and the normal distribution; probability distributions from the exponential family; reliability of series and parallel systems and combination of these; modelling failure times with the exponential and Weibull distributions.
  4. Software – Use specified software to perform vector and matrix operations; solve linear programming problems and perform sensitivity analysis; carry out statistical analysis.

Learning Experience

ON-CAMPUS

Students will attend on campus classes as well as engage in learning activities through ECUs LMS

JoondalupMount LawleySouth West (Bunbury)
Semester 23 x 2 hour labNot OfferedNot Offered
Semester 213 x 2 hour lectureNot OfferedNot Offered
Semester 212 x 1 hour pass sessionNot OfferedNot Offered
Semester 213 x 2 hour tutorialNot OfferedNot Offered

For more information see the Semester Timetable

ONLINE

Students will engage in learning experiences through ECUs LMS as well as additional ECU l

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 School Progression Panel.

ON CAMPUS
TypeDescriptionValue
ExercisePractice exercises10%
AssignmentProblem solving assignments10%
Laboratory WorkSoftware based activities15%
TestIn-semester test20%
ExaminationEnd of semester examination45%
ONLINE
TypeDescriptionValue
ExercisePractice exercises10%
AssignmentProblem solving assignments10%
Laboratory WorkSoftware based activities15%
TestIn-semester test20%
TestEnd of semester assessment45%

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.

MAT1251|2|1

School: Science

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

    Mathematics 2
  • Unit Code

    MAT1251
  • Year

    2021
  • Enrolment Period

    2
  • Version

    2
  • Credit Points

    15
  • Full Year Unit

    N
  • Mode of Delivery

    On Campus
    Online
  • Unit Coordinator

    Dr Julia COLLINS

Description

This unit provides an introduction to linear algebra, operations research, probability and their application to problems arising in applied contexts. Students will be introduced to the vectors, matrices, the solution of linear systems of equations, the formulation and solution of linear programming problems, network optimisation, continuous probability distributions and reliability analysis. This unit is designed for students who have passed ATAR Mathematics Methods or MAT1137 Introductory Applied Mathematics or equivalent.

Prerequisite Rule

Students must have passed MAT1137 or must have achieved a scaled score >49.99 in ATAR Mathematics Methods or ATAR Mathematics Specialist or WACE MAT3C/3D or equivalent.

Learning Outcomes

On completion of this unit students should be able to:

  1. Identify and apply appropriate mathematics and statistics techniques to solve mathematical and statistical problems.
  2. Identify and apply appropriate mathematics and statistics techniques to solve applied problems.
  3. Make use of numeric computing packages to aid in understanding and solving problems in abstract and applied contexts.
  4. Communicate solutions to problems involving the application of mathematics and statistics techniques in a coherent written form.

Unit Content

  1. Linear Algebra – Vectors in Euclidean space (vector arithmetic); matrices (matrix algebra, determinants, eigenvectors and eigenvalues); solution of systems of linear equations; applications to applied problems (normal equation approach to linear regression).
  2. Operations Research – Formulation of a linear programming problem; the simplex method; sensitivity and duality; PERT.
  3. Statistics – Review of continuous random variables and the normal distribution; probability distributions from the exponential family; reliability of series and parallel systems and combination of these; modelling failure times with the exponential and Weibull distributions.
  4. Software – Use specified software to perform vector and matrix operations; solve linear programming problems and perform sensitivity analysis; carry out statistical analysis.

Learning Experience

ON-CAMPUS

Students will attend on campus classes as well as engage in learning activities through ECUs LMS

JoondalupMount LawleySouth West (Bunbury)
Semester 23 x 2 hour labNot OfferedNot Offered
Semester 213 x 2 hour lectureNot OfferedNot Offered
Semester 212 x 1 hour pass sessionNot OfferedNot Offered
Semester 213 x 2 hour tutorialNot OfferedNot Offered

For more information see the Semester Timetable

ONLINE

Students will engage in learning experiences through ECUs LMS as well as additional ECU l

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 School Progression Panel.

ON CAMPUS
TypeDescriptionValue
ExercisePractice exercises10%
AssignmentProblem solving assignments10%
Laboratory WorkSoftware based activities15%
TestIn-semester test20%
ExaminationEnd of semester examination45%
ONLINE
TypeDescriptionValue
ExercisePractice exercises10%
AssignmentProblem solving assignments10%
Laboratory WorkSoftware based activities15%
TestIn-semester test20%
TestEnd of semester assessment45%

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.

MAT1251|2|2