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Unit of study_

OLET2606: Origins of Mathematics

The roots of mathematical thought reach as far back as the beginnings of human history, and many of the foundational ideas behind the modern standards of proof and scientific inquiry were conceived thousands of years ago. This OLE is an introductory course in the history of mathematics and its applications in the development of modern civilisation. You will learn about number systems of early indigenous Australian societies and discover the arithmetic and applied mathematics of the ancient Egyptians that made the construction of their great works possible. You will explore ancient Greek mathematics, from Pythagoras to Euclid and Archimedes, and their role in the development of contemporary science. You will learn how the ancestors of today’s numerals were conceived in India and made their way to Arab and Medieval European mathematics. You will study the Medieval mathematical understanding of the infinite. You will study primary source documents, such as the Ahmes and Moscow Papyri and Euclid’s foundational work Elements and conduct further research on a topic of your choice. By completing this unit, you will develop quantitative reasoning skills, and enhance your ability to read mathematical and technical text. You will gain a deeper understanding of the methods of mathematics and science, and how historical ideas underpin modern mathematical thought and reasoning. In your final essay, you will explore a historical mathematical topic of your choosing and use your newly attained knowledge to also review and provide feedback on the essay of one of your peers.

Details

Academic unit Mathematics and Statistics Academic Operations
Unit code OLET2606
Unit name Origins of Mathematics
Session, year
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Intensive July, 2022
Attendance mode Block mode
Location Remote
Credit points 2

Enrolment rules

Prohibitions
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None
Prerequisites
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None
Corequisites
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None
Assumed knowledge
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HSC Mathematics or equivalent and familiarity with basic scientific method

Available to study abroad and exchange students

Yes

Teaching staff and contact details

Coordinator Zsuzsanna Dancso, zsuzsanna.dancso@sydney.edu.au
Type Description Weight Due Length
Online task Module 1-2 quizzes
Untimed, repeatable Canvas quizzes.
25% Multiple weeks
Due date: 12 Jul 2022
2x60 minutes
Outcomes assessed: LO1
Participation Workshop Active Participation
Active participation in the workshop.
10% Ongoing
Due date: 14 Jul 2022
5 hours
Outcomes assessed: LO1 LO3 LO2
Assignment Essay
Essay on a chosen topic, mark includes draft and peer review task.
50% Week -01
Due date: 31 Jul 2022
4 weeks
Outcomes assessed: LO2 LO3 LO4
Online task Timed Canvas quiz
Timed quiz summarising online material
15% Week -05
Due date: 20 Jul 2022
60 minutes
Outcomes assessed: LO1 LO2 LO3 LO4

25% Canvas self-grading quizzes repeatable; 15% Canvas timed quiz (one time only); 10% active participation in the Workshop; 50% Essay, including peer-review task.

Assessment criteria

Result name Mark range Description
High distiction 85-100 You demonstrate the learning outcomes for the unit at an exceptional standard.
Distinction 75-84 You demonstrate the learning outcomes for the unit at a very high standard.
Credit 65-74 You demonstrate the learning outcomes for the unit at a good standard.
Pass 50-64 You demonstrate the learning outcomes for the unit at an acceptable standard.
Fail 0-49 You don’t meet the learning outcomes of the unit to a satisfactory standard.

 

Late submission

In accordance with University policy, these penalties apply when written work is submitted after 11:59pm on the due date:

  • Deduction of 5% of the maximum mark for each calendar day after the due date.
  • After ten calendar days late, a mark of zero will be awarded.

This unit has an exception to the standard University policy or supplementary information has been provided by the unit coordinator. This information is displayed below:

For Essay, 5% each day late.

Special consideration

If you experience short-term circumstances beyond your control, such as illness, injury or misadventure or if you have essential commitments which impact your preparation or performance in an assessment, you may be eligible for special consideration or special arrangements.

Academic integrity

The Current Student website provides information on academic honesty, academic dishonesty, and the resources available to all students.

The University expects students and staff to act ethically and honestly and will treat all allegations of academic dishonesty or plagiarism seriously.

We use similarity detection software to detect potential instances of plagiarism or other forms of academic dishonesty. If such matches indicate evidence of plagiarism or other forms of dishonesty, your teacher is required to report your work for further investigation.

WK Topic Learning activity Learning outcomes
Pre-semester Early History of Mathematics Workshop (5 hr) LO1 LO2 LO3 LO4
Early History of Mathematics Independent study (40 hr) LO1 LO2 LO3 LO4

Study commitment

Typically, there is a minimum expectation of 1.5-2 hours of student effort per week per credit point for units of study offered over a full semester. For a 2 credit point unit, this equates to roughly 40-50 hours of student effort in total.

Required readings

See Canvas Modules and eReserve.

Learning outcomes are what students know, understand and are able to do on completion of a unit of study. They are aligned with the University’s graduate qualities and are assessed as part of the curriculum.

At the completion of this unit, you should be able to:

  • LO1. Recount and explain the early history of mathematics (Egyptian, Mesopotamian, Greek, Islamic, and Medieval European).
  • LO2. Analyse how the modern scientific method is rooted in thousands of years of discovery by cultures that differ profoundly from ours.
  • LO3. Analyse how classical techniques - engineering, geometric constructions, axiomatic methods, notational conventions - are still applicable today, and how they set the stage for scientific thinking.
  • LO4. Read and synthesise material about elementary - pre-calculus - mathematics and its history

Graduate qualities

The graduate qualities are the qualities and skills that all University of Sydney graduates must demonstrate on successful completion of an award course. As a future Sydney graduate, the set of qualities have been designed to equip you for the contemporary world.

GQ1 Depth of disciplinary expertise

Deep disciplinary expertise is the ability to integrate and rigorously apply knowledge, understanding and skills of a recognised discipline defined by scholarly activity, as well as familiarity with evolving practice of the discipline.

GQ2 Critical thinking and problem solving

Critical thinking and problem solving are the questioning of ideas, evidence and assumptions in order to propose and evaluate hypotheses or alternative arguments before formulating a conclusion or a solution to an identified problem.

GQ3 Oral and written communication

Effective communication, in both oral and written form, is the clear exchange of meaning in a manner that is appropriate to audience and context.

GQ4 Information and digital literacy

Information and digital literacy is the ability to locate, interpret, evaluate, manage, adapt, integrate, create and convey information using appropriate resources, tools and strategies.

GQ5 Inventiveness

Generating novel ideas and solutions.

GQ6 Cultural competence

Cultural Competence is the ability to actively, ethically, respectfully, and successfully engage across and between cultures. In the Australian context, this includes and celebrates Aboriginal and Torres Strait Islander cultures, knowledge systems, and a mature understanding of contemporary issues.

GQ7 Interdisciplinary effectiveness

Interdisciplinary effectiveness is the integration and synthesis of multiple viewpoints and practices, working effectively across disciplinary boundaries.

GQ8 Integrated professional, ethical, and personal identity

An integrated professional, ethical and personal identity is understanding the interaction between one’s personal and professional selves in an ethical context.

GQ9 Influence

Engaging others in a process, idea or vision.

Outcome map

Learning outcomes Graduate qualities
GQ1 GQ2 GQ3 GQ4 GQ5 GQ6 GQ7 GQ8 GQ9
Workshop has been split between two days to alleviate "Zoom fatigue". The essay length has been reduced to better fit in a 2cp workload.

Disclaimer

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