Mathematical Perspectives (8104.3)
Please note these are the 2019 details for this unit
| Available teaching periods | Delivery mode | Location |
|---|---|---|
| View teaching periods | ||
| EFTSL | Credit points | Faculty |
| 0.125 | 3 | Faculty Of Science And Technology |
| Discipline | Study level | HECS Bands |
| Academic Program Area - Technology | Level 3 - Undergraduate Advanced Unit | Band 1 2021 (Commenced After 1 Jan 2021) Band 1 2021 (Commenced Before 1 Jan 2021) |
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.
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.
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
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 effectively1. 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| Year | Location | Teaching period | Teaching start date | Delivery mode | Unit convener |
|---|
Not available
Required texts
Required text: John Stillwell, "Mathematics and its history", Second Edition, Springer ISBN 0-387-95336-1.
https://books.google.com.au/books/about/Mathematics_and_Its_History.html?id=WNjRrqTm62QC&redir_esc=y
Learner engagement
| Activities | Hours |
|---|---|
| Lectures (2 hours/week; 11 times) |
22 |
| Workshops (2 hours/week; 12 times) |
24 |
| Weekly study (2 hours/week; 12 times) |
24 |
| in class tests preparation |
30 |
| Assignment/Presentation |
50 |
| Total hours |
150 |
Participation requirements
It is expected that students will attend all lectures and tutorials.
Required IT skills
The students should be able to access the unit website and email.
In-unit costs
See recommended text section.
Work placement, internships or practicums
None
