## Availabilities:

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

## Unit Summary

### Unit type

UG Coursework Unit

12

7

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: 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

## 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:

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, 2013, A survey of Mathematics with applications, 9th edn, Pearson Addison Wesley, Boston. ISBN: 0321759664.
• Angel, AR, Abbott, CD & Runde, DC, 2013, A survey of Mathematics with applications, 9th edn, Pearson Addison Wesley, Boston. ISBN: 0321759664.
Prescribed texts may change in future teaching periods.