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Mathematical Perspectives (8104.3)

Level: Level 3 - Undergraduate Advanced Unit
Credit Points: 3
HECS Bands: 2, 4
Faculty: Faculty of Science and Technology
Discipline: Academic Program Area - Technology

Availability

    Unit Outlines

    To view your Unit Outline, click View to log in to MyUC and access this information, or visit your unit's online teaching site.

    • Semester 2, 2019, ON-CAMPUS, BRUCE (185378) - View
    • Semester 2, 2018, ON-CAMPUS, BRUCE (182140) - View
    • Semester 2, 2017, ON-CAMPUS, BRUCE (166301) - View
    • Semester 2, 2016, ON-CAMPUS, BRUCE (151509) - View
    • Semester 2, 2015, ON-CAMPUS, BRUCE (140015) - View

    If a link to your Unit Outline is not displayed, please check back later. Unit Outlines are generally published by Week One of the relevant teaching period.

    Syllabus

    A broad introduction to mathematics from earliest times to the present, suitable for anyone with an interest in the history of ideas. Accessible to a broad audience, its mathematical prerequisites are a bare minimum. Students have the option of following their own interests via project work. Topics include: Mathematics in ancient times, the modern era, and western culture; varieties of mathematical thinking; has all mathematics been discovered? and what is useful mathematics? Selected Topics in Mathematics chosen from: Prime number theorem, straightedge and compass constructions, solvability of polynomial equations in radicals, transfinite arithmetic, group theory, Euclidean and non-Euclidean geometry, mathematical foundations, infinity, chaos and fractals, quantifying uncertainty, mathematical physics, cryptography, error correcting codes, and information theory.

    Learning Outcomes

    On successful completion of this unit, students will be able to:

    1. A mature perspective on mathematics as a cultural phenomenon and contrast this with mathematics as an enabling discipline for other sciences;

    2. Mathematics will take its place as one aspect in the history of ideas and hence students will understand mathematics as a human enterprise; and

    3. Skill in historical scholarship.

    Assessment Items

    Contact Hours

    A 2-hour lecture and a 2-hour tutorial per week.

    Prerequisites

    None.

    Corequisites

    None.

    Assumed Knowledge

    6543 Mathematical Structures or 8110 Linear Algebra

    Incompatible Units

    None.

    Equivalent Units

    None.



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