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HE Unit Template
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Applied Mathematics 2
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GPMAT2100 - Applied Mathematics 2
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20260200
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Course
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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/gpmat2100">View unit fees</a>
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Graded (e.g. HD, D, C, etc)
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5
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Diploma, Undergraduate Certificate
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Intermediate
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1
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<p>This unit aims to offer students from diverse backgrounds an introduction to the use of mathematical methods applicable to business, industry, engineering and science. The unit introduces students to the concepts and techniques of linear algebra and linear programming which have applications in various fields. In addition, an introduction to statistics with applications is considered.</p>
<p>The unit will be particularly valuable to STEM students, prospective senior secondary school mathematics teachers, and any student interested in improving their understanding of these commonly encountered concepts and applications of mathematics. This unit will also incorporate additional learning hours to support the development of students’ academic and study skills.</p>
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<p>Topics may include:<br>
1. Vector spaces, inner products, linear independence, basis, dimension and rank of matrices;<br>
2. Matrix representations and solving of systems of linear equations.<br>
3. Operations research (Linear programming and scheduling techniques).<br>
4. Statistics basics and applications</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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Semester
0200
Year
Year
2027
Current Year
2026
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GPMAT2100 - Applied Mathematics 2
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GPMAT2100 - Applied Mathematics 2
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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 aims to offer students from diverse backgrounds an introduction to the use of mathematical methods applicable to business, industry, engineering and science. The unit introduces students to the concepts and techniques of linear algebra and linear programming which have applications in various fields. In addition, an introduction to statistics with applications is considered.</p> <p>The unit will be particularly valuable to STEM students, prospective senior secondary school mathematics teachers, and any student interested in improving their understanding of these commonly encountered concepts and applications of mathematics. This unit will also incorporate additional learning hours to support the development of students’ academic and study skills.</p>
Unit content
<p>Topics may include:<br> 1. Vector spaces, inner products, linear independence, basis, dimension and rank of matrices;<br> 2. Matrix representations and solving of systems of linear equations.<br> 3. Operations research (Linear programming and scheduling techniques).<br> 4. Statistics basics and applications</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
Offering:
<p><strong>Semester 2</strong><p>Melbourne City Campus (On Campus)</p></p> <p><strong>Summer Semester</strong><p>Melbourne City Campus (On Campus)</p></p>
Grade scheme:
Graded (e.g. HD, D, C, etc)
Placement component:
No
Fee information:
<a href="http://www.federation.edu.au/locate/unit/gpmat2100">View unit fees</a>
Requisites
Prerequisite
None
Corequisite
None
Exclusion
<p>must not have completed 1 of <a href="/ords/r/curriculum/catalogue/course?p6_code=MATHS1005" target="_blank">MATHS1005</a>/<a href="/ords/r/curriculum/catalogue/course?p6_code=MATHS1102" target="_blank">MATHS1102</a>/<a href="/ords/r/curriculum/catalogue/course?p6_code=MATHS2100" target="_blank">MATHS2100</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>Recognise the basic techniques used for solving problems in linear algebra.</p>
K2
<p>Explain and classify the fundamental structure of vectors, matrices and matrix arithmetic.</p>
K3
<p>Express real world problems into mathematical models using linear equations and inequalities to represent objecitve function and constraints.</p>
K4
<p>Recognise basic statistical concepts used to solve problems in STEM.</p>
S1
<p>Perform operations on vectors and matrices.</p>
S2
<p>Solve systems of linear equations.</p>
S3
<p>Solve constrained optimisation problems using linear programming.</p>
S4
<p>Utilise appropriate software to assist in the solution and investigation of problems.</p>
S5
<p>Develop the appropriate English language and academic skills to successfully study at an undergraduate level</p>
A1
<p>Apply statistical techniques to investigate problems in STEM.</p>
A2
<p>Formulate basic problems in STEM as mathematical problems using concepts from linear algebra and linear programming.</p>
Assessment
Learning Tasks and Assessment
Ref
Learning task
Assessment type
Weighting
Learning outcomes assessed
1
<p>Weekly learning activities</p>
<p>Tutorials/labs</p>
<p>0-30%</p>
K1, K4, S1, S2, S3, S4, S5
2
<p>A range of tasks and problems are explored to support the understanding of the content and the development of skills and knowledge throughout the unit.</p>
<p>Assignment(s)</p>
<p>30% - 50%</p>
K1, K2, K3, K4, S1, S2, S3, S4, S5, A1, A2
3
<p>Students work collaboratively to explore a range of mathematical tasks and problems, deepening their understanding of key concepts and enhancing their mathematical communication skills. The learning process culminates in a group presentation.</p>
<p>Presentation(s)</p>
<p>20% - 40%</p>
K3, S2, S3, S4, S5, A1, A2
4
<p>Students will provide theoretical answers and practical solutions to a range of questions and problem types drawn from theory and examples used during this unit.</p>
<p>Test(s)</p>
<p>20-30%</p>
K1, K2, K3, K4, S1, S2, S3, S4, A1
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.
<p>Level 2 - Student demonstrates some independence within provided guidelines</p>
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.
<p>Level 1 - Students require directions and boundaries from mentor</p>
FedTASK 4: Digital Literacy
The ability to work fluently across a range of tools and applications to achieve a range of skills.
<p>Level 1 - Students require directions and boundaries from mentor</p>
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
Offering:
<p><strong>Semester 2</strong><p>Melbourne City Campus (On Campus)</p></p> <p><strong>Summer Semester</strong><p>Melbourne City Campus (On Campus)</p></p>
Grade scheme:
Graded (e.g. HD, D, C, etc)
Placement component:
No
Fee information:
<a href="http://www.federation.edu.au/locate/unit/gpmat2100">View unit fees</a>
Additional information
Add Info Static Text
Internal reference: GPMAT2100 - U1.2