Skip to Main Content
Catalogue Link
<a href="/ords/r/curriculum/catalogue/home" class="t-Header-logo-link"><span class="apex-logo-text">Handbook</span></a>
Hidden Page Items
New
8
New
HE Unit Template
New
Upon the Shoulders of Giants
New
MATHS1000 - Upon the Shoulders of Giants
New
20240200
New
New
New
New
Course
New
Unit
New
New
1.2
New
New
2026-09-10
New
2026-09-10
New
Engineering
New
New
New
New
Institute of Innovation, Science & Sustainability
New
Engineering
New
Undergraduate
New
15
New
New
.125
New
010101
New
Mathematics
New
010101 - Mathematics
New
<a href="http://www.federation.edu.au/locate/unit/maths1000">View unit fees</a>
New
Graded (e.g. HD, D, C, etc)
New
7
New
Bachelor Degree
New
New
New
New
New
1
New
New
New
New
New
false
New
New
New
<p>This unit allows students to see the relevance of mathematics in scientific and technical practice, with a historical overview of the development of mathematical thought. Various concepts and techniques in elementary mathematics that will equip students for further mathematical and technical unitss will be introduced/reviewed. The unit would be particularly valuable to prospective teachers of mathematics at primary and secondary level and to students interested in improving their understanding of basic mathematical principles and techniques.</p>
New
New
<p>Topics in this unit may include an introduction to the concepts of number, function, probability and geometry through a guided exploration of the development of these ideas from an historical perspective. Throughout the unit, the ideas will be developed using practical applications. Topics to be covered in this unit will be taken from the following: early number systems and symbols, geometry and arithmetic from the early civilizations, the development of number theory and foundations of algebra, solving equations, geometry and trigonometry, geography and navigation, astronomy and trigonometry, combinatorics, logarithms, kinematics, sequences and series, probability and statistics, the foundations of calculus, the beginning of structure - groups, rings and fields, set theory, analysis and topology.<br>
•The changing concept of number in the development of society.<br>
•The contribution made by different cultures to the development of mathematics.<br>
•Concepts in algebra, trigonometry and geometry.<br>
•The development and application of calculus.<br>
•Mathematical models for the real world using functions, relations and sets.<br>
•Ideas in geometry that influence the world in which we live.<br>
•Concepts of probability with a discussion of historical and contemporary applications.<br>
•The historical context underpinning the development of mathematical topics found in typical school curricula.</p>
New
true
New
<p>Where supplementary assessment is available a student must have failed overall in the Unit but gained a final mark of 45 per cent or above, has completed all major assessment tasks (including all sub-components where a task has multiple parts) as specified in the Unit Description and is not eligible for any other form of supplementary assessment.</p>
New
true
Hidden Page Items
Semester
Semester
0200
Year
Year
2027
Current Year
2026
Breadcrumb Positioning
Handbook
MATHS1000 - Upon the Shoulders of Giants
Pseudo Breadcrumb
MATHS1000 - Upon the Shoulders of Giants
Breadcrumb Type
Unit
Catalogue Term and Year
Version Text
You are viewing a version for
Semester
Semester 1
Semester 2
Summer Semester
Year
2027
2026
Download PDF
RDS Holder
Overview
Key information
Requisites
Learning outcomes
Assessment
FedTASK
Parent Region
Overview
Unit description
<p>This unit allows students to see the relevance of mathematics in scientific and technical practice, with a historical overview of the development of mathematical thought. Various concepts and techniques in elementary mathematics that will equip students for further mathematical and technical unitss will be introduced/reviewed. The unit would be particularly valuable to prospective teachers of mathematics at primary and secondary level and to students interested in improving their understanding of basic mathematical principles and techniques.</p>
Unit content
<p>Topics in this unit may include an introduction to the concepts of number, function, probability and geometry through a guided exploration of the development of these ideas from an historical perspective. Throughout the unit, the ideas will be developed using practical applications. Topics to be covered in this unit will be taken from the following: early number systems and symbols, geometry and arithmetic from the early civilizations, the development of number theory and foundations of algebra, solving equations, geometry and trigonometry, geography and navigation, astronomy and trigonometry, combinatorics, logarithms, kinematics, sequences and series, probability and statistics, the foundations of calculus, the beginning of structure - groups, rings and fields, set theory, analysis and topology.<br> •The changing concept of number in the development of society.<br> •The contribution made by different cultures to the development of mathematics.<br> •Concepts in algebra, trigonometry and geometry.<br> •The development and application of calculus.<br> •Mathematical models for the real world using functions, relations and sets.<br> •Ideas in geometry that influence the world in which we live.<br> •Concepts of probability with a discussion of historical and contemporary applications.<br> •The historical context underpinning the development of mathematical topics found in typical school curricula.</p>
Key information
Institute / school:
Institute of Innovation, Science & Sustainability
Discipline:
Engineering
Study level:
Undergraduate
Credit points:
15
EFTSL:
0.125
Field of education:
010101 - Mathematics
Grade scheme:
Graded (e.g. HD, D, C, etc)
Placement component:
No
Fee information:
<a href="http://www.federation.edu.au/locate/unit/maths1000">View unit fees</a>
Requisites
Prerequisite
None
Corequisite
None
Exclusion
<p>must not have completed 1 of "ENCOR1015" / "MATHS2000" / "<a href="/ords/r/curriculum/catalogue/course?p6_code=SCCOR1300" target="_blank">SCCOR1300</a>"</p>
Learning outcomes
Learning outcomes
<p>On successful completion of this unit, students are expected to gain the following [K]nowledge, [S]kills and [A]pplication of knowledge & skills</p>
Learning Outcomes
Ref
Outcome
K1
<p>Describe the development of the concept of number.</p>
K2
<p>Explain the structure of numbers.</p>
K3
<p>Outline the historical development of sets and functions as ways of describing mathematical entities.</p>
K4
<p>Discuss some of the historical underpinnings of Euclidean geometry and its applications.</p>
K5
<p>Describe the significance and evolution of the idea of `chance`.</p>
S1
<p>Perform calculations, using appropriate technology, to investigate number properties.</p>
S2
<p>Perform algebraic manipulations, including factorisation and solution of quadratics.</p>
S3
<p>Describe relations and functions and related ideas.</p>
S4
<p>Find the sum of arithmetic and geometric series.</p>
A1
<p>Use ideas about sets and their properties in problem solving.</p>
A2
<p>Discuss the significance of mathematicians` work in the context of their lives and times.</p>
A3
<p>Present mathematical knowledge to other student.</p>
Assessment
Learning Tasks and Assessment
Ref
Learning task
Assessment type
Weighting
Learning outcomes assessed
1
<p>Participate in class activities.</p>
<p>Portfolio of completed work</p>
<p>10 - 30%</p>
K1, K2, K3, K4, K5, S1, S2, S3, S4, A1
2
<p>Self directed or group exploration.</p>
<p>Projects</p>
<p>10 - 30%</p>
K1, K2, K3, K4, K5, S1, S2, S3, S4, A1, A2, A3
3
<p>Review and skills practice.</p>
<p>Tests / Examinations</p>
<p>40 - 60%</p>
K1, K2, K3, K4, K5, S1, S2, S3, S4, A1, A2
Supplementary assessment available:
Yes
Supplementary assessment information:
<p>Where supplementary assessment is available a student must have failed overall in the Unit but gained a final mark of 45 per cent or above, has completed all major assessment tasks (including all sub-components where a task has multiple parts) as specified in the Unit Description and is not eligible for any other form of supplementary assessment.</p>
FedTASK
FedTASK
Description of FedTASK outcome
Level
FedTASK 1: Interpersonal
The ability to effectively communicate, interact and work with others both individually and in groups.
FedTASK 2: Leadership
The ability to apply professional skills and behaviours in leading others.
FedTASK 3: Critical Thinking and Creativity
The ability to work in complexity and ambiguity using imagination to create new ideas.
FedTASK 4: Digital Literacy
The ability to work fluently across a range of tools and applications to achieve a range of skills.
FedTASK 5: Sustainable and Ethical Mindset
The ability to consider and assess the consequences and impact of ideas and actions in enacting ethical and sustainable decisions.
FedTASK
<p>Federation University recognises that students require key transferable employability skills to prepare them for their future workplace and society. FedTASKs (<strong>T</strong>ransferable <strong>A</strong>ttributes <strong>S</strong>kills and <strong>K</strong>nowledge) provide a targeted focus on five key, transferable Attributes, Skills, and Knowledge that are embedded within curriculum, developed gradually towards successful measures and interlinked with cross-discipline and co-operative learning opportunities.</p>
Key information
Institute / school:
Institute of Innovation, Science & Sustainability
Discipline:
Engineering
Study level:
Undergraduate
Credit points:
15
EFTSL:
0.125
Field of education:
010101 - Mathematics
Grade scheme:
Graded (e.g. HD, D, C, etc)
Placement component:
No
Fee information:
<a href="http://www.federation.edu.au/locate/unit/maths1000">View unit fees</a>
Additional information
Add Info Static Text
Internal reference: MATHS1000 - U1.2