Mathematical Perspectives (8104.3)

This unit considers the historical and cultural context of mathematics. The unit will include a broad introduction to the history of mathematics from prehistoric times to the 21st century. Students will complete a guided research project into a particular area of their own interest. Lecture topics will be chosen from Euclidean geometry, solving polynomial equations, perspective and projective geometry, the development of calculus, early probability and statistics, non-Euclidean geometry, mathematical foundations, logic, infinity, and computational mathematics. The unit is suitable for anyone with an interest in the history of ideas, but emphasises the importance of context in mathematics education.

Learning outcomes

On successful completion of this unit, students will be able to:
1. Analyse mathematical forms of reasoning in their historical context;
2. Appraise the importance of mathematical thought for the student's course and future career; and
3. Critically evaluate the uses of mathematics in pedagogy and science.

Graduate attributes

1. UC graduates are professional - communicate effectively
1. UC graduates are professional - employ up-to-date and relevant knowledge and skills
1. UC graduates are professional - use creativity, critical thinking, analysis and research skills to solve theoretical and real-world problems
2. UC graduates are global citizens - think globally about issues in their profession
3. UC graduates are lifelong learners - reflect on their own practice, updating and adapting their knowledge and skills for continual professional and academic development

Prerequisites

None.

Corequisites

None.

Incompatible units

None.

Equivalent units

None.

Assumed knowledge

6543 Mathematical Structures or 8110 Linear Algebra