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 for Computing
  • Unit Code

    MAT1252
  • Year

    2021
  • Enrolment Period

    1
  • Version

    3
  • Credit Points

    15
  • Full Year Unit

    N
  • Mode of Delivery

    On Campus
    Online
  • Unit Coordinator

    Dr Julia COLLINS

Description

This unit presents fundamental topics in mathematics that are essential to computing studies including propositional and predicate calculus, Boolean algebra, set theory, computer arithmetic and number systems in computing. It also provides an introduction to matrix algebra with applications to computing and cryptography.

Learning Outcomes

On completion of this unit students should be able to:

  1. Identify and apply appropriate discrete mathematics techniques to solve problems involving propositional and predicate calculus.
  2. Identify and apply appropriate techniques to operate in different number systems.
  3. Apply critical and logical thinking skills to solve mathematical problems
  4. Use appropriate terminology to communicate solutions to problems involving discrete mathematics techniques.

Unit Content

  1. Sets and set operations; Venn diagrams; laws of sets.
  2. Propositions, connectives and truth tables; logical equivalence; laws of logic; arguments; predicate logic.
  3. Boolean algebra; logic gates; simplification of Boolean expressions; design and simplification of logic circuits; universality of NANDs.
  4. Relations and their representations; equivalence relations and classes. Function as process; function as relation; onto and one-to-one functions; composition and inverse functions; ASCII code; Unicode.
  5. Decimal, octal, binary and hexadecimal number systems and conversions of integers and fractions; arithmetic in these systems.
  6. Modular arithmetic; application to cryptography; addition and multiplication principles.
  7. Addition and multiplication of matrices; transpose; zero and identity matrices; laws of matrix algebra; inverse of a square matrix; finding determinant and inverse of 2 x 2 matrix; application of matrices to computer graphics and cryptography.

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 113 x 2 hour lectureNot OfferedNot Offered
Semester 113 x 2 hour tutorialNot 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
TestOnline quizzes20%
PortfolioPortfolio of workshop activities30%
TestEnd of semester test50%
ONLINE
TypeDescriptionValue
TestOnline quizzes20%
PortfolioPortfolio of workshop activities30%
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.

MAT1252|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.

  • Unit Title

    Mathematics for Computing
  • Unit Code

    MAT1252
  • Year

    2021
  • Enrolment Period

    2
  • Version

    3
  • Credit Points

    15
  • Full Year Unit

    N
  • Mode of Delivery

    On Campus
    Online
  • Unit Coordinator

    Dr Julia COLLINS

Description

This unit presents fundamental topics in mathematics that are essential to computing studies including propositional and predicate calculus, Boolean algebra, set theory, computer arithmetic and number systems in computing. It also provides an introduction to matrix algebra with applications to computing and cryptography.

Learning Outcomes

On completion of this unit students should be able to:

  1. Identify and apply appropriate discrete mathematics techniques to solve problems involving propositional and predicate calculus.
  2. Identify and apply appropriate techniques to operate in different number systems.
  3. Apply critical and logical thinking skills to solve mathematical problems
  4. Use appropriate terminology to communicate solutions to problems involving discrete mathematics techniques.

Unit Content

  1. Sets and set operations; Venn diagrams; laws of sets.
  2. Propositions, connectives and truth tables; logical equivalence; laws of logic; arguments; predicate logic.
  3. Boolean algebra; logic gates; simplification of Boolean expressions; design and simplification of logic circuits; universality of NANDs.
  4. Relations and their representations; equivalence relations and classes. Function as process; function as relation; onto and one-to-one functions; composition and inverse functions; ASCII code; Unicode.
  5. Decimal, octal, binary and hexadecimal number systems and conversions of integers and fractions; arithmetic in these systems.
  6. Modular arithmetic; application to cryptography; addition and multiplication principles.
  7. Addition and multiplication of matrices; transpose; zero and identity matrices; laws of matrix algebra; inverse of a square matrix; finding determinant and inverse of 2 x 2 matrix; application of matrices to computer graphics and cryptography.

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 113 x 2 hour lectureNot OfferedNot Offered
Semester 113 x 2 hour tutorialNot 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
TestOnline quizzes25%
PortfolioPortfolio of workshop activities30%
TestEnd of semester test45%
ONLINE
TypeDescriptionValue
TestOnline quizzes25%
PortfolioPortfolio of workshop activities30%
TestEnd of semester test45%

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.

MAT1252|3|2