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

    Mathematical Fundamentals
  • Unit Code

    MAT6105
  • Year

    2021
  • Enrolment Period

    1
  • Version

    1
  • Credit Points

    20
  • Full Year Unit

    N
  • Mode of Delivery

    On Campus
    Online
  • Unit Coordinator

    Dr Julia COLLINS

Description

This unit provides an introduction to the fundamental mathematical concepts of functions, differential calculus, vector and matrix algebra, systems of equations, and eigenvectors and eigenvalues. Students will be required to apply these concepts in applied contexts including optimisation problems and linear regression.

Learning Outcomes

On completion of this unit students should be able to:

  1. Identify suitable techniques and procedures to solve mathematical problems.
  2. Implement appropriate mathematical techniques to solve abstract and applied problems.
  3. Communicate solutions to problems involving the application of mathematical techniques, in a coherent written form.

Unit Content

  1. Algebra (algebraic manipulation including factorisation; adding, multiplying and dividing fraction expressions; and index laws. Solution of equations and inequalities involving rational expressions); trigonometry (Pythagoras’ theorem, trigonometric ratios, sine and cosine rule), linear and quadratic functions.
  2. Functions and Graphs - Functions and relations; function notation; domain and range; translations and scaling; composite functions; inverse functions; limits and continuity; radian measure; sine, cosine and tangent functions; unit circle; solution of trigonometric equations; exponential functions and natural base; logarithm functions, logarithm laws and change of base; solving equations involving an unknown exponent.
  3. Calculus - Differentiation (definition, power, product, quotient and chain rules) and differentiability; derivatives of exponential, logarithm and trigonometric functions; higher order derivatives; Optimisation.
  4. 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).

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 213 x 2 hour workshopNot 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
ExerciseEssential skills exercises5%
ExercisePractice exercises25%
AssignmentProblem solving assignments20%
ExaminationEnd of semester examination50%
ONLINE
TypeDescriptionValue
ExerciseEssential skills exercises5%
ExercisePractice exercises25%
AssignmentProblem solving assignments20%
TestEnd of semester test50%

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.

MAT6105|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

    Mathematical Fundamentals
  • Unit Code

    MAT6105
  • Year

    2021
  • Enrolment Period

    2
  • Version

    1
  • Credit Points

    20
  • Full Year Unit

    N
  • Mode of Delivery

    On Campus
    Online
  • Unit Coordinator

    Dr Julia COLLINS

Description

This unit provides an introduction to the fundamental mathematical concepts of functions, differential calculus, vector and matrix algebra, systems of equations, and eigenvectors and eigenvalues. Students will be required to apply these concepts in applied contexts including optimisation problems and linear regression.

Learning Outcomes

On completion of this unit students should be able to:

  1. Identify suitable techniques and procedures to solve mathematical problems.
  2. Implement appropriate mathematical techniques to solve abstract and applied problems.
  3. Communicate solutions to problems involving the application of mathematical techniques, in a coherent written form.

Unit Content

  1. Algebra (algebraic manipulation including factorisation; adding, multiplying and dividing fraction expressions; and index laws. Solution of equations and inequalities involving rational expressions); trigonometry (Pythagoras’ theorem, trigonometric ratios, sine and cosine rule), linear and quadratic functions.
  2. Functions and Graphs - Functions and relations; function notation; domain and range; translations and scaling; composite functions; inverse functions; limits and continuity; radian measure; sine, cosine and tangent functions; unit circle; solution of trigonometric equations; exponential functions and natural base; logarithm functions, logarithm laws and change of base; solving equations involving an unknown exponent.
  3. Calculus - Differentiation (definition, power, product, quotient and chain rules) and differentiability; derivatives of exponential, logarithm and trigonometric functions; higher order derivatives; Optimisation.
  4. 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).

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 213 x 2 hour workshopNot 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
ExerciseEssential skills exercises5%
ExercisePractice exercises25%
AssignmentProblem solving assignments40%
AssignmentEnd of semester test and oral presentation30%
ONLINE
TypeDescriptionValue
ExerciseEssential skills exercises5%
ExercisePractice exercises25%
AssignmentProblem solving assignments40%
AssignmentEnd of semester test and oral presentation30%

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.

MAT6105|1|2