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 1
  • Unit Code

    MAT1250
  • Year

    2019
  • 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 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 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. Identify and apply appropriate calculus techniques to solve applied problems.
  3. Make use of numerical and symbolic computing packages to aid in understanding and solving problems in abstract and applied contexts.
  4. 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. Matlab 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

Students will attend on campus classes as well as engage in learning activities through ECU Blackboard.

JoondalupMount LawleySouth West (Bunbury)
Semester 13 x 2 hour labNot OfferedNot Offered
Semester 126 x 2 hour lectureNot Offered x 2 hour lecture
Semester 1Not OfferedNot Offered13 x 2 hour tutorial
Semester 113 x 1 hour workshopNot Offered3 x 2 hour workshop
Semester 23 x 2 hour labNot OfferedNot Offered
Semester 226 x 2 hour lectureNot OfferedNot Offered
Semester 213 x 1 hour pass sessionNot OfferedNot Offered

For more information see the Semester Timetable

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
ExerciseEssential skills exercises5%
ExercisePractice exercises10%
AssignmentProblem solving assignments10%
Laboratory WorkMATLAB based activities10%
TestIn-semester test15%
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.

MAT1250|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

    Mathematics 1
  • Unit Code

    MAT1250
  • Year

    2019
  • 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 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. Identify and apply appropriate calculus techniques to solve applied problems.
  3. Make use of numerical and symbolic computing packages to aid in understanding and solving problems in abstract and applied contexts.
  4. 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. Matlab 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

Students will attend on campus classes as well as engage in learning activities through ECU Blackboard.

JoondalupMount LawleySouth West (Bunbury)
Semester 13 x 2 hour labNot OfferedNot Offered
Semester 126 x 2 hour lectureNot Offered x 2 hour lecture
Semester 1Not OfferedNot Offered13 x 2 hour tutorial
Semester 113 x 1 hour workshopNot Offered3 x 2 hour workshop
Semester 23 x 2 hour labNot OfferedNot Offered
Semester 226 x 2 hour lectureNot OfferedNot Offered
Semester 213 x 1 hour pass sessionNot OfferedNot Offered

For more information see the Semester Timetable

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
ExerciseEssential skills exercises5%
ExercisePractice exercises10%
AssignmentProblem solving assignments10%
Laboratory WorkMATLAB based activities10%
TestIn-semester test15%
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.

MAT1250|2|2