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HE Unit Template
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Applied Mathematics 3
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MATHS3100 - Applied Mathematics 3
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20260600
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3.2
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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/maths3100">View unit fees</a>
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Graded (e.g. HD, D, C, etc)
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<p>This unit covers advanced topics in mathematics, building upon the foundational calculus knowledge obtained in earlier units. It introduces key concepts of advanced calculus (multivariate and vector) to model real world phenomena and develop techniques for solving these models. This unit also covers numerical methods and Laplace transform for solving differential equations. The material covered in this unit provides a strong theoretical grounding for techniques widely used in engineering, science and other applied fields.</p>
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<p>Topics may include:<br>
1. Vector calculus with applications.<br>
2. Multivariate calculus with applications.<br>
3. Numerical methods for differential equations.<br>
4. Laplace transform.</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
Year
Year
2027
Current Year
2026
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MATHS3100 - Applied Mathematics 3
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MATHS3100 - Applied Mathematics 3
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2026
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Overview
Key information
Requisites
Learning outcomes
Assessment
FedTASK
Parent Region
Overview
Unit description
<p>This unit covers advanced topics in mathematics, building upon the foundational calculus knowledge obtained in earlier units. It introduces key concepts of advanced calculus (multivariate and vector) to model real world phenomena and develop techniques for solving these models. This unit also covers numerical methods and Laplace transform for solving differential equations. The material covered in this unit provides a strong theoretical grounding for techniques widely used in engineering, science and other applied fields.</p>
Unit content
<p>Topics may include:<br> 1. Vector calculus with applications.<br> 2. Multivariate calculus with applications.<br> 3. Numerical methods for differential equations.<br> 4. Laplace transform.</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>Ballarat - Mt Helen (On Campus)</p><p>Blended Delivery - Gippsland (Blended)</p><p>On-line Learning</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/maths3100">View unit fees</a>
Requisites
Prerequisite
<p>must have completed <a href="/ords/r/curriculum/catalogue/course?p6_code=MATHS1100" target="_blank">MATHS1100</a> OR must have completed MATHS1001</p>
Corequisite
None
Exclusion
<p>must not have completed <a href="/ords/r/curriculum/catalogue/course?p6_code=MATHS3001" target="_blank">MATHS3001</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
1
<p>Communicate mathematical reasoning and results clearly and rigorously using appropriate notation, structure, and terminology.</p>
2
<p>Analyse and solve problems using concepts and techniques from multivariate and vector calculus.</p>
3
<p>Calculate approximate solutions of differential equations using numerical techniques.</p>
4
<p>Utilise appropriate technology to assist in the solution and investigation of problems.</p>
5
<p>Apply Laplace transform/numerical techniques to solve differential equations in the context of engineering and science problems.</p>
6
<p>Apply concepts of multivariate and vector calculus to model and analyse problems in engineering and science.</p>
Assessment
Learning Tasks and Assessment
Ref
Learning task
Assessment type
Weighting
Learning outcomes assessed
1
<p>A range of tasks and problems are explored to support understanding the content and the development of skills and knowledge throughout the unit.</p>
<p>Assignments</p>
<p>30% - 50%</p>
1, 2, 4, 6
2
<p>A range of tasks and problems are explored in a group to support the understanding of the content and the development of mathematical communication.</p>
<p>Project/Presentation</p>
<p>20% - 40%</p>
1, 3, 4, 5
3
<p>A test (written and/or oral) on any part of or all the material covered in the unit.</p>
<p>Test/Viva</p>
<p>30% - 50%</p>
1, 2, 3, 5, 6
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 2 - Student demonstrates some independence within provided guidelines</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 2 - Student demonstrates some independence within provided guidelines</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>Ballarat - Mt Helen (On Campus)</p><p>Blended Delivery - Gippsland (Blended)</p><p>On-line Learning</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/maths3100">View unit fees</a>
Additional information
Add Info Static Text
Internal reference: MATHS3100 - U3.2