Availabilities:
| Location | Domestic | International |
|---|---|---|
| Online |
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: 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.
| 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 | Knowledge of a discipline | ||||||
| 2 | demonstrate an understanding of current mathematical knowledge as well the historical development of selected important mathematical ideas | Intellectual rigour | Knowledge of a discipline | |||||
| 3 | analyse real world problems through the use of the mathematical ideas and techniques in the unit | Intellectual rigour | Communication and social skills | |||||
| 4 | communicate mathematical ideas, processes and results effectively at different levels of formality. | Knowledge of a discipline | Communication and social skills | |||||
On completion of this unit, students should be able to:
- demonstrate an understanding of and proficiency in the mathematical ideas and techniques within the unit
- GA4: Knowledge of a discipline
- demonstrate an understanding of current mathematical knowledge as well the historical development of selected important mathematical ideas
- GA1: Intellectual rigour
- GA4: Knowledge of a discipline
- analyse real world problems through the use of the mathematical ideas and techniques in the unit
- GA1: Intellectual rigour
- GA6: Communication and social skills
- communicate mathematical ideas, processes and results effectively at different levels of formality.
- GA4: Knowledge of a discipline
- GA6: Communication and social skills
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.
Teaching and assessment
| Teaching method |
| Tutorial online 2 hrs (10) |
| Structured online learning 110 hrs (1) |
| Assessment | |
| Quiz | 5% |
| Calculations | 50% |
| Exam: closed book | 45% |
Fee information
Domestic
Commonwealth Supported courses
For information regarding Student Contribution Amounts please visit the Student Contribution Amounts.
Fee paying courses
For postgraduate or undergraduate full fee paying courses please check Domestic Postgraduate Fees OR Domestic Undergraduate Fees
International
Please check the international course and fee list to determine the relevant fees.