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Unit Summary
Unit type
UG Coursework Unit
Credit points
12
AQF level
Level of learning
Introductory
Former School/College
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.
| 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:
-
demonstrate an understanding of and proficiency in the mathematical ideas and techniques within the unit
- GA4:
-
demonstrate an understanding of current mathematical knowledge as well the historical development of selected important mathematical ideas
- GA1:
- GA4:
-
analyse real world problems through the use of the mathematical ideas and techniques in the unit
- GA1:
- GA6:
-
communicate mathematical ideas, processes and results effectively at different levels of formality.
- GA4:
- GA6:
Prescribed texts
- Angel, AR, Abbott, CD & Runde, DC, 2014, A survey of Mathematics with applications, Pearson New International Edition, Pearson , Harlow, England. ISBN: 9781292040196.
- Angel, AR, Abbott, CD & Runde, DC, 2014, A survey of Mathematics with applications, Pearson New International Edition, Pearson , Harlow, England. ISBN: 9781292040196.