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HE Unit Template
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Puzzles, Patterns and Proofs (Advanced Level)
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MATHS3007 - Puzzles, Patterns and Proofs (Advanced Level)
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20240200
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1.2
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2026-09-10
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2026-09-10
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Engineering
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Institute of Innovation, Science & Sustainability
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Engineering
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Undergraduate
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15
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.125
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010101
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Mathematics
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010101 - Mathematics
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<a href="http://www.federation.edu.au/locate/unit/maths3007">View unit fees</a>
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Graded (e.g. HD, D, C, etc)
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7
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Bachelor Degree
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<p>This unit is aimed at students who are interested in the role of both logic and imagination in mathematics. It 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. In the latter case this unit can be used by students interested in pursuing more advanced mathematical units.</p>
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<p>This unit introduces a broad range of mathematical concepts of wide applicability. It contains material which will be of interest and relevant to computing students who seek a theoretical understanding of their subject, as well as to mathematics students. Much of the material is starting to appear in secondary mathematics curricula, and the rest provides valuable enrichment material for those students intending to teach mathematics.</p>
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<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>
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0200
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Year
2027
Current Year
2026
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MATHS3007 - Puzzles, Patterns and Proofs (Advanced Level)
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MATHS3007 - Puzzles, Patterns and Proofs (Advanced Level)
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Semester
Semester 1
Semester 2
Summer Semester
Year
2027
2026
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Overview
Key information
Requisites
Learning outcomes
Assessment
FedTASK
Parent Region
Overview
Unit description
<p>This unit is aimed at students who are interested in the role of both logic and imagination in mathematics. It 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. In the latter case this unit can be used by students interested in pursuing more advanced mathematical units.</p>
Unit content
<p>This unit introduces a broad range of mathematical concepts of wide applicability. It contains material which will be of interest and relevant to computing students who seek a theoretical understanding of their subject, as well as to mathematics students. Much of the material is starting to appear in secondary mathematics curricula, and the rest provides valuable enrichment material for those students intending to teach mathematics.</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/maths3007">View unit fees</a>
Requisites
Prerequisite
<p>must have completed "MATHS2%"</p>
Corequisite
None
Exclusion
<p>must not have completed "MATHS2005"</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>use elementary ideas in number theory;</p>
K2
<p>explain and be able to carry out proofs by mathematical induction</p>
K3
<p>describe the proof of the four colour theorem</p>
K4
<p>apply basic concepts of graph theory</p>
K5
<p>explain arithmetic operations from a theoretical point of view</p>
S1
<p>express concepts, relationships and structures in mathematical form, and draw conclusions about the situations studied by abstract argument</p>
S2
<p>use elementary ideas about sets and their properties in problem solving</p>
S3
<p>investigate topological ideas</p>
A1
<p>construct mathematical proofs using a variety of proof techniques</p>
A2
<p>express in mathematical terms and solve a range of counting problems</p>
A3
<p>research and impart mathematical knowledge to others</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>0 - 20%</p>
K1, K2, K3, K4, K5, S1, S2, S3, A1, A2
2
<p>Self directed or group exploration</p>
<p>Projects / Presentation</p>
<p>30 - 50%</p>
A3
3
<p>Review and skills practice</p>
<p>Tests / Examination(s)</p>
<p>50 - 60%</p>
K1, K2, K3, K4, K5, S1, S2, S3, 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/maths3007">View unit fees</a>
Additional information
Add Info Static Text
Internal reference: MATHS3007 - U1.2