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Unit of Study MAT10718 - Mathematical Ideas (2015)

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Unit Snapshot

  • Unit type

    UG Coursework Unit

  • Credit points

    12

  • AQF level

    7

  • Level of learning

    Introductory

  • Former School/College

    Former School of Education

  • Enrolment information

    N/A

Unit description

Mathematical ideas expands a student's knowledge of current mathematical knowledge as well the historical development of selected mathematical ideas. Topics include set and number theory, real and complex number systems, geometry, mathematical systems, systems of linear equations, counting techniques.

Unit content

Topic 1: Set Theory

Topic 2: Boolean algebra and logic – Truth tables, Equivalent statements

Topic 3: Boolean algebra and Logic – Switching Circuits, Propositional Calculus, Validity of an Argument

Topic 4: Linear inequalities, Non-linear Functions and Graphs

Topic 5: Complex Numbers

Topic 6: Matrices and Systems of Linear Equations

Topic 7: Introduction to Differentiation

Topic 8: Introduction to Integration

Topic 9: Trigonometry

Topic 10: Advanced Geometry – Non-Euclidean geometries

Availabilities

Location Domestic International
Online Session 1,  3 Session 1,  3

Learning outcomes and graduate attributes

Unit Learning Outcomes express learning achievement in terms of what a student should know, understand and be able to do on completion of a unit. These outcomes are aligned with the graduate attributes. The unit learning outcomes and graduate attributes are also the basis of evaluating prior learning.

On completion of this unit, students should be able to:

GA1: Intellectual rigour, GA2: Creativity, GA3: Ethical practice, GA4: Knowledge of a discipline, GA5: Lifelong learning, GA6: Communication and social skills, GA7: Cultural competence
Learning outcome count Learning outcome description GA1 GA2 GA3 GA4 GA5 GA6 GA7
1 demonstrate an understanding of and proficiency in the mathematical ideas and techniques within the unit
2 demonstrate an understanding of current mathematical knowledge as well the historical development of selected important mathematical ideas
3 analyse real world problems through the use of the mathematical ideas and techniques in the unit
4 communicate mathematical ideas, processes and results effectively at different levels of formality.

On completion of this unit, students should be able to:

  1. demonstrate an understanding of and proficiency in the mathematical ideas and techniques within the unit
    • GA4:
  2. demonstrate an understanding of current mathematical knowledge as well the historical development of selected important mathematical ideas
    • GA1:
    • GA4:
  3. analyse real world problems through the use of the mathematical ideas and techniques in the unit
    • GA1:
    • GA6:
  4. communicate mathematical ideas, processes and results effectively at different levels of formality.
    • GA4:
    • GA6:

Prescribed learning resources

Prescribed Texts
  • No prescribed texts.

Prescribed Texts
  • No prescribed texts.

Prescribed Learning Resources may change in future Teaching Periods.