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Session1, 3
Session1, 3

Unit Summary

Unit type

UG Coursework Unit

Credit points

12

AQF level

7

Level of learning

Introductory

Former School/College

Former School of Education

Unit aim

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: Number theory
Topic 5: Linear inequalities, Non-linear Functions and Graphs and Systems of Linear Equations
Topic 6: Complex Numbers
Topic 7: Introduction to Differentiation and Integration
Topic 8: Statistics
Topic 9: Trigonometry
Topic 10: Advanced Geometry – Non-Euclidean geometries

Learning outcomes

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.

GA1: , GA2: , GA3: , GA4: , GA5: , GA6: , GA7:
On completion of this unit, students should be able to: 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 texts

  • Angel, AR, Abbott, CD & Runde, DC, 2019, Foundations: mathematics and numeracy, Pearson Australia, Melbourne, Australia. ISBN: 9780655700722.

  • Angel, AR, Abbott, CD & Runde, DC, 2019, Foundations: mathematics and numeracy, Pearson Australia, Melbourne, Australia. ISBN: 9780655700722.
Prescribed texts may change in future study periods.