Mathematical Perspectives (8104.4)

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. Synthesise perspectives on Mathematics both as a cultural phenomenon and an enabling discipline for research/real world problems;
2. Conceptualise Mathematics as an element of knowledge systems, the history of ideas, and as a human enterprise; and
3. Evaluate and report on the scholarship of Mathematics, both historically and contemporarily.

Graduate attributes

1. UC graduates are professional - use creativity, critical thinking, analysis and research skills to solve theoretical and real-world problems
3. UC graduates are lifelong learners - adapt to complexity, ambiguity and change by being flexible and keen to engage with new ideas

Prerequisites

12123 Mathematical Modelling with Calculus AND 8110 Linear Algebra

Corequisites

None.

Incompatible units

None.

Equivalent units

None.

Assumed knowledge

None.