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

    Differential Equations and Numerical Methods
  • Unit Code

    MAT3150
  • Year

    2021
  • Enrolment Period

    1
  • Version

    1
  • Credit Points

    15
  • Full Year Unit

    N
  • Mode of Delivery

    On Campus
  • Unit Coordinator

    Dr Steven James RICHARDSON

Description

This unit covers a range of topics in differential equations and numerical methods. Students will be introduced to numerical techniques for solving first order differential equations and systems of equations (initial value problems). They will also learn numerical and analytical techniques for analysing and solving partial differential equations and dynamical systems.

Prerequisite Rule

Students must pass 1 unit from MAT1236 OR students must pass 2 units from MAT1250 AND MAT1251

Learning Outcomes

On completion of this unit students should be able to:

  1. Solve mathematical problems by applying appropriate analytical and numerical techniques.
  2. Analyse applied problems using appropriate analytical and numerical techniques.
  3. Effectively utilise numerical computer packages to investigate mathematical concepts in abstract and applied contexts.
  4. Independently communicate solutions to problems involving the application of analytical and numerical techniques in a coherent written form.

Unit Content

  1. Numerical methods for solving first order differential equations and systems of equations: Euler method; Runge-Kutta method; multistep methods; errors and stability.
  2. Dynamical systems: First order linear systems (homogeneous and non-homogeneous); nonlinear systems (phase portraits; autonomous systems and stability; locally linear systems); applications.
  3. Partial differential equations: Fourier series; separation of variables; boundary and initial value problems; applications.

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
AssignmentWorked problems25%
TestMid-semester test25%
ExaminationEnd of semester examination50%

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.

MAT3150|1|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

    Differential Equations and Numerical Methods
  • Unit Code

    MAT3150
  • Year

    2021
  • Enrolment Period

    2
  • Version

    2
  • Credit Points

    15
  • Full Year Unit

    N
  • Mode of Delivery

    On Campus
  • Unit Coordinator

    Dr Steven James RICHARDSON

Description

This unit covers a range of topics in differential equations and numerical methods. Students will be introduced to numerical techniques for solving first order differential equations and systems of equations (initial value problems). They will also learn numerical and analytical techniques for analysing and solving partial differential equations and dynamical systems.

Prerequisite Rule

Students must pass 1 unit from MAT1236 OR students must pass 2 units from MAT1250 AND MAT1251

Learning Outcomes

On completion of this unit students should be able to:

  1. Analyse applied problems using appropriate analytical and numerical techniques.
  2. Effectively utilise numerical computer packages to investigate mathematical concepts in abstract and applied contexts.
  3. Independently communicate solutions to problems involving the application of analytical and numerical techniques in a coherent written form.

Unit Content

  1. Numerical methods for solving first order differential equations and systems of equations: Euler method; Runge-Kutta method; multistep methods; errors and stability.
  2. Dynamical systems: First order linear systems (homogeneous and non-homogeneous); nonlinear systems (phase portraits; autonomous systems and stability; locally linear systems); applications.
  3. Partial differential equations: Fourier series; separation of variables; boundary and initial value problems; applications.

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
AssignmentWorked problems25%
TestMid-semester test25%
ExaminationEnd of semester examination50%

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.

MAT3150|2|2