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  2. Foundations of Mathematics [MAT1108]

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

    Foundations of Mathematics

  • Unit Code

    MAT1108

  • Year

    2016

  • Enrolment Period

    1

  • Version

    2

  • Credit Points

    15

  • Full Year Unit

     N

  • Mode of Delivery

    On Campus

Description

This unit is intended primarily to provide bridging for those students who have previously studied mathematics to the level of WACE MAT2A/2B (or equivalent) and who wish to study MAT1137 Introductory Applied Mathematics; however it is also appropriate for students from non-mathematical disciplines wishing to enhance their mathematics skills. The unit covers the basic concepts and techniques of algebra, trigonometry, functions and graphs, problem formulation, and differential calculus of polynomials. Where possible, real world examples are used to reinforce conceptual understanding.

Equivalent Rule

Unit was previously coded MAT1107, UPU0110

Learning Outcomes

On completion of this unit students should be able to:

  1. Express simple real world situations in mathematical terms.
  2. Solve and manipulate simple algebraic equations.
  3. Solve problems involving exponential growth and decay.
  4. Solve problems involving the application of basic differential calculus.
  5. Solve problems using coordinate geometry, trigonometry, and functions and graphs.

Unit Content

  1. Algebra: Index laws; absolute value; factorisation of quadratics; solution of linear, quadratic, and cubic (in factorised form), exponential (using logarithms), and power (n=1,2,1/2,1/3,-1) equations both algebraically and graphically; solution of systems of 2 linear equations in 2 unknowns.
  2. Calculus: Differentiation of polynomial functions using power, sum and product rules; methods to distinguish between average and instantaneous rates of change; interpretion of derivatives as slopes; applications including tangent lines, graph sketching (no inflection points),and optimisation.
  3. Functions and Graphs: Function notation; linear and quadratic functions and their properties; exponential, logarithm, polynomial, power, hyperbolic, square root and cube root functions; function transformations; domain and range; basic qualitative features.
  4. Problem formulation: Formulation of worded problems mathematically (relevant to above content); conversion between different units of measurement.
  5. Trigonometry: Methods to solve for angles and sides of right angle triangles; methods to solve for angles and sides of triangles using sine and cosine rules; calculation of the area of a triangle; unit circle and solutions to trigonometric equations; Cartesian distance.

Additional Learning Experience Information

Lectures and tutorials.

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
AssignmentProblem sets and in-class assessments30%
TestMid-semester test20%
Examination ^End of semester examination50%

^ Mandatory to Pass

Text References

  • Sullivan, M. (2002). Precalculus. New York: Prentice-Hall.
  • Sadler, A.J. (2008). Unit 2C / 2D / 3A / 3B Mathematics. Willetton, Australia: Sadler Family Trust.
  • Connally, E., Hughes-Hallett, D., Gleason, A.M., et al. (2003). Functions modelling change (2nd ed.). New York:John Wiley and Sons.
  • Larson, R., Hostetlier, R., & Edwards, B. (2005). Precalculus (4th ed.). Boston: Houghton Mifflin.
  • Stewart, J, Redlin, L., & Watson, S. (2002). Precalculus: mathematics for calculus (4th ed.). Pacific Grove: Brooks/Cole.

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.

MAT1108|2|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

    Foundations of Mathematics

  • Unit Code

    MAT1108

  • Year

    2016

  • Enrolment Period

    2

  • Version

    2

  • Credit Points

    15

  • Full Year Unit

     N

  • Mode of Delivery

    On Campus

Description

This unit is intended primarily to provide bridging for those students who have previously studied mathematics to the level of WACE MAT2A/2B (or equivalent) and who wish to study MAT1137 Introductory Applied Mathematics; however it is also appropriate for students from non-mathematical disciplines wishing to enhance their mathematics skills. The unit covers the basic concepts and techniques of algebra, trigonometry, functions and graphs, problem formulation, and differential calculus of polynomials. Where possible, real world examples are used to reinforce conceptual understanding.

Equivalent Rule

Unit was previously coded MAT1107, UPU0110

Learning Outcomes

On completion of this unit students should be able to:

  1. Express simple real world situations in mathematical terms.
  2. Solve and manipulate simple algebraic equations.
  3. Solve problems involving exponential growth and decay.
  4. Solve problems involving the application of basic differential calculus.
  5. Solve problems using coordinate geometry, trigonometry, and functions and graphs.

Unit Content

  1. Algebra: Index laws; absolute value; factorisation of quadratics; solution of linear, quadratic, and cubic (in factorised form), exponential (using logarithms), and power (n=1,2,1/2,1/3,-1) equations both algebraically and graphically; solution of systems of 2 linear equations in 2 unknowns.
  2. Calculus: Differentiation of polynomial functions using power, sum and product rules; methods to distinguish between average and instantaneous rates of change; interpretion of derivatives as slopes; applications including tangent lines, graph sketching (no inflection points),and optimisation.
  3. Functions and Graphs: Function notation; linear and quadratic functions and their properties; exponential, logarithm, polynomial, power, hyperbolic, square root and cube root functions; function transformations; domain and range; basic qualitative features.
  4. Problem formulation: Formulation of worded problems mathematically (relevant to above content); conversion between different units of measurement.
  5. Trigonometry: Methods to solve for angles and sides of right angle triangles; methods to solve for angles and sides of triangles using sine and cosine rules; calculation of the area of a triangle; unit circle and solutions to trigonometric equations; Cartesian distance.

Additional Learning Experience Information

Lectures and tutorials.

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
AssignmentProblem sets and in-class assessments30%
TestMid-semester test20%
Examination ^End of semester examination50%

^ Mandatory to Pass

Text References

  • Sadler, A.J. (2008). Unit 2C / 2D / 3A / 3B Mathematics. Willetton, Australia: Sadler Family Trust.
  • Sullivan, M. (2002). Precalculus. New York: Prentice-Hall.
  • Connally, E., Hughes-Hallett, D., Gleason, A.M., et al. (2003). Functions modelling change (2nd ed.). New York:John Wiley and Sons.
  • Larson, R., Hostetlier, R., & Edwards, B. (2005). Precalculus (4th ed.). Boston: Houghton Mifflin.
  • Stewart, J, Redlin, L., & Watson, S. (2002). Precalculus: mathematics for calculus (4th ed.). Pacific Grove: Brooks/Cole.

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.

MAT1108|2|2