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.

Your unit may be subject to government or third party COVID-19 vaccination requirements. Please consider this before enrolling in this unit, and speak with the unit coordinator if this raises any concerns.

  • Unit Title

    Mathematics 1
  • Unit Code

    MAT1250
  • Year

    2022
  • Enrolment Period

    1
  • Version

    3
  • Credit Points

    15
  • Full Year Unit

    N
  • Mode of Delivery

    On Campus
    Online
  • Unit Coordinator

    Dr Steven James RICHARDSON

Description

This unit will build on students’ knowledge of functions and calculus to consider a range of techniques used to solve problems arising in applied contexts. Students will be introduced to complex numbers, functions of two variables and their derivatives, differentiation of hyperbolic, inverse trigonometric and reciprocal trigonometric functions, related rates problems, integration techniques and their application to solve volume and length problems, the solution of first and second order differential equations and their application to applied problems. 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 calculus techniques to solve mathematical problems.
  2. Make use of numerical and symbolic computing packages to aid in understanding and solving problems in abstract and applied contexts.
  3. Communicate solutions to problems involving the application of calculus techniques in a coherent written form.

Unit Content

  1. Review – Algebra, trigonometry, functions (definition, domain and range, composition, inverses, translation and scaling, continuity, trigonometric, exponential, logarithmic and polynomial functions), differentiation (power rule, product rule, quotient rule, chain rule, differentiability), integration (reverse power rule, definite and indefinite integrals), applications (optimisation, area, rectilinear motion).
  2. Complex numbers – Definition of 'i'; complex solutions of quadratics; complex plane; Cartesian form (addition, subtraction, multiplication and division); polar form (multiplication and division); conjugates (properties and location in complex plane); De Moivres's theorem; Euler's formula.
  3. Functions of several variables – Definition; domain and range; surface and contour plots; partial derivatives; the gradient vector; directional derivatives.
  4. Differentiation and its application – inverse trigonometric functions and their derivatives; reciprocal trigonometric functions and their derivatives; hyperbolic functions and their derivatives; related rates.
  5. Integration and its application – integration by substitution; trigonometric integrals; integration by parts, integration by partial fraction decomposition; application of integration to area, volume and length.
  6. First order ordinary differential equations – Slope fields; autonomous, separable, linear and Bernoulli differential equations; applications.
  7. Second order ordinary differential equations – Constant coefficient and Euler Cauchy equations; method of undetermined coefficients; method of variation of parameters; Laplace transforms (definition, look-up tables, convolution, free/forced response); initial and boundary value problems; applications.
  8. Software – Plot curves, surface and contours; solve algebraic equations, evaluate derivatives, integrals and Laplace transforms using the symbolic toolbox, solve ordinary differential equations using the symbolic toolbox; evaluate integrals and ordinary differential equations using inbuilt numerical functions.

Learning Experience

ON-CAMPUS

Students will attend on campus classes as well as engage in learning activities through ECU's LMS

JoondalupMount LawleySouth West (Bunbury)
Semester 15 x 2 hour labNot OfferedNot Offered
Semester 126 x 2 hour lectureNot OfferedNot Offered
Semester 112 x 1 hour pass sessionNot OfferedNot Offered
Semester 24 x 2 hour labNot OfferedNot Offered
Semester 226 x 2 hour lectureNot OfferedNot Offered
Semester 212 x 1 hour pass sessionNot OfferedNot Offered

For more information see the Semester Timetable

ONLINE

Students will engage in learning experiences via ECU’s LMS as well as additional ECU learning technologies

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 exercises10%
AssignmentProblem solving assignments10%
Laboratory WorkSoftware based activities10%
TestIn-semester test20%
ExaminationEnd of semester examination45%
ONLINE
TypeDescriptionValue
ExerciseEssential skills exercises5%
ExercisePractice exercises10%
AssignmentProblem solving assignments10%
Laboratory WorkSoftware based activities10%
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 Integrity

Integrity is a core value at Edith Cowan University, and it is expected that ECU students complete their assessment tasks honestly and with acknowledgement of other people's work. This means that assessment tasks must be completed individually (unless it is an authorised group assessment task) and any sources used must be referenced.

Breaches of academic integrity can include:

Plagiarism

Copying the words, ideas or creative works of other people, without referencing in accordance with stated University requirements. Students need to seek approval from the Unit Coordinator within the first week of study if they intend to use some of their previous work in an assessment task (self-plagiarism).

Unauthorised collaboration (collusion)

Working with other students and submitting the same or substantially similar work or portions of work when an individual submission was required. This includes students knowingly providing others with copies of their own work to use in the same or similar assessment task(s).

Contract cheating

Organising a friend, a family member, another student or an external person or organisation (e.g. through an online website) to complete or substantially edit or refine part or all of an assessment task(s) on their behalf.

Cheating in an exam

Using or having access to unauthorised materials in an exam or test.

Serious outcomes may be imposed if a student is found to have committed one of these breaches, up to and including expulsion from the University for repeated or serious acts.

ECU's policies and more information about academic integrity can be found on the student academic integrity website.

All commencing ECU students are required to complete the Academic Integrity Module.

Assessment Extension

In some circumstances, Students may apply to their Unit Coordinator to extend the due date of their Assessment Task(s) in accordance with ECU's Assessment, Examination and Moderation Procedures - for more information visit https://askus2.ecu.edu.au/s/article/000001386.

Special Consideration

Students may apply for Special Consideration in respect of a final unit grade, where their achievement was affected by Exceptional Circumstances as set out in the Assessment, Examination and Moderation Procedures - for more information visit https://askus2.ecu.edu.au/s/article/000003318.

MAT1250|3|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.

Your unit may be subject to government or third party COVID-19 vaccination requirements. Please consider this before enrolling in this unit, and speak with the unit coordinator if this raises any concerns.

  • Unit Title

    Mathematics 1
  • Unit Code

    MAT1250
  • Year

    2022
  • Enrolment Period

    2
  • Version

    3
  • Credit Points

    15
  • Full Year Unit

    N
  • Mode of Delivery

    On Campus
    Online
  • Unit Coordinator

    Dr Steven James RICHARDSON

Description

This unit will build on students’ knowledge of functions and calculus to consider a range of techniques used to solve problems arising in applied contexts. Students will be introduced to complex numbers, functions of two variables and their derivatives, differentiation of hyperbolic, inverse trigonometric and reciprocal trigonometric functions, related rates problems, integration techniques and their application to solve volume and length problems, the solution of first and second order differential equations and their application to applied problems. 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 calculus techniques to solve mathematical problems.
  2. Make use of numerical and symbolic computing packages to aid in understanding and solving problems in abstract and applied contexts.
  3. Communicate solutions to problems involving the application of calculus techniques in a coherent written form.

Unit Content

  1. Review – Algebra, trigonometry, functions (definition, domain and range, composition, inverses, translation and scaling, continuity, trigonometric, exponential, logarithmic and polynomial functions), differentiation (power rule, product rule, quotient rule, chain rule, differentiability), integration (reverse power rule, definite and indefinite integrals), applications (optimisation, area, rectilinear motion).
  2. Complex numbers – Definition of 'i'; complex solutions of quadratics; complex plane; Cartesian form (addition, subtraction, multiplication and division); polar form (multiplication and division); conjugates (properties and location in complex plane); De Moivres's theorem; Euler's formula.
  3. Functions of several variables – Definition; domain and range; surface and contour plots; partial derivatives; the gradient vector; directional derivatives.
  4. Differentiation and its application – inverse trigonometric functions and their derivatives; reciprocal trigonometric functions and their derivatives; hyperbolic functions and their derivatives; related rates.
  5. Integration and its application – integration by substitution; trigonometric integrals; integration by parts, integration by partial fraction decomposition; application of integration to area, volume and length.
  6. First order ordinary differential equations – Slope fields; autonomous, separable, linear and Bernoulli differential equations; applications.
  7. Second order ordinary differential equations – Constant coefficient and Euler Cauchy equations; method of undetermined coefficients; method of variation of parameters; Laplace transforms (definition, look-up tables, convolution, free/forced response); initial and boundary value problems; applications.
  8. Software – Plot curves, surface and contours; solve algebraic equations, evaluate derivatives, integrals and Laplace transforms using the symbolic toolbox, solve ordinary differential equations using the symbolic toolbox; evaluate integrals and ordinary differential equations using inbuilt numerical functions.

Learning Experience

ON-CAMPUS

Students will attend on campus classes as well as engage in learning activities through ECU's LMS

JoondalupMount LawleySouth West (Bunbury)
Semester 15 x 2 hour labNot OfferedNot Offered
Semester 126 x 2 hour lectureNot OfferedNot Offered
Semester 112 x 1 hour pass sessionNot OfferedNot Offered
Semester 24 x 2 hour labNot OfferedNot Offered
Semester 226 x 2 hour lectureNot OfferedNot Offered
Semester 212 x 1 hour pass sessionNot OfferedNot Offered

For more information see the Semester Timetable

ONLINE

Students will engage in learning experiences via ECU’s LMS as well as additional ECU learning technologies

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 exercises10%
AssignmentProblem solving assignments10%
Laboratory WorkSoftware based activities10%
TestIn-semester test20%
ExaminationEnd of semester examination45%
ONLINE
TypeDescriptionValue
ExerciseEssential skills exercises5%
ExercisePractice exercises10%
AssignmentProblem solving assignments10%
Laboratory WorkSoftware based activities10%
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 Integrity

Integrity is a core value at Edith Cowan University, and it is expected that ECU students complete their assessment tasks honestly and with acknowledgement of other people's work. This means that assessment tasks must be completed individually (unless it is an authorised group assessment task) and any sources used must be referenced.

Breaches of academic integrity can include:

Plagiarism

Copying the words, ideas or creative works of other people, without referencing in accordance with stated University requirements. Students need to seek approval from the Unit Coordinator within the first week of study if they intend to use some of their previous work in an assessment task (self-plagiarism).

Unauthorised collaboration (collusion)

Working with other students and submitting the same or substantially similar work or portions of work when an individual submission was required. This includes students knowingly providing others with copies of their own work to use in the same or similar assessment task(s).

Contract cheating

Organising a friend, a family member, another student or an external person or organisation (e.g. through an online website) to complete or substantially edit or refine part or all of an assessment task(s) on their behalf.

Cheating in an exam

Using or having access to unauthorised materials in an exam or test.

Serious outcomes may be imposed if a student is found to have committed one of these breaches, up to and including expulsion from the University for repeated or serious acts.

ECU's policies and more information about academic integrity can be found on the student academic integrity website.

All commencing ECU students are required to complete the Academic Integrity Module.

Assessment Extension

In some circumstances, Students may apply to their Unit Coordinator to extend the due date of their Assessment Task(s) in accordance with ECU's Assessment, Examination and Moderation Procedures - for more information visit https://askus2.ecu.edu.au/s/article/000001386.

Special Consideration

Students may apply for Special Consideration in respect of a final unit grade, where their achievement was affected by Exceptional Circumstances as set out in the Assessment, Examination and Moderation Procedures - for more information visit https://askus2.ecu.edu.au/s/article/000003318.

MAT1250|3|2