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Applied Mathematics 3
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MATHS3100 - Applied Mathematics 3
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20260200
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2.4
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2026-06-16
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2026-06-16
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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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<a href="http://www.federation.edu.au/locate/unit/maths3100">010101 - Mathematics</a>
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Graded (e.g. HD, D, C, etc)
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<p>This unit will cover advanced topics in mathematics, building upon the foundations that students would have obtained in calculus in earlier units. In particular, it covers concepts of advanced calculus (multivariate and vector) to model real life situations and techniques for solving these models. In addition, this unit also cover numerical methods and Laplace transform for solving differential equations. The material covered in this unit gives a strong theoretical grounding for techniques widely applied in engineering, industry and science.</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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2026
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2026
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MATHS3100 - Applied Mathematics 3
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MATHS3100 - Applied Mathematics 3
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Semester 2
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Year
2026
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Overview
Key information
Requisites
Learning outcomes
Assessment
FedTASK
Parent Region
Overview
Unit description
<p>This unit will cover advanced topics in mathematics, building upon the foundations that students would have obtained in calculus in earlier units. In particular, it covers concepts of advanced calculus (multivariate and vector) to model real life situations and techniques for solving these models. In addition, this unit also cover numerical methods and Laplace transform for solving differential equations. The material covered in this unit gives a strong theoretical grounding for techniques widely applied in engineering, industry and science.</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:
<a href="http://www.federation.edu.au/locate/unit/maths3100">010101 - Mathematics</a>
Offering:
<p><strong>Semester 2</strong><p>Ballarat - Mt Helen (On Campus)</p><p>Gippsland - Churchill (On Campus)</p><p>On-line Learning (Online)</p></p> <p><strong>Winter Semester</strong><p>Flexible Delivery - Berwick (Blended)</p></p>
Grade scheme:
Graded (e.g. HD, D, C, etc)
Placement component:
No
Requisites
Prerequisite
<p>must have completed "<a href="/ords/r/dev/fed_occ/course?p6_code=MATHS1100" target="_blank">MATHS1100</a>"</p>
Corequisite
None
Exclusion
<p>must not have completed "<a href="/ords/r/dev/fed_occ/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
K1
<p>Recognise the common principles in a variety of real-life applications of mathematical modelling.</p>
K2
<p>Express the important concepts of multivariate calculus coherently and effectively in the written form.</p>
K3
<p>Recognise the importance of rigour and structure in the calculus context.</p>
S1
<p>Investigate problems using the concepts from vector calculus.</p>
S2
<p>Evaluate partial derivatives and gradients of functions.</p>
S3
<p>Calculate approximate solutions of differential equations using numerical techniques.</p>
S4
<p>Utilise appropriate technology to assist in the solution and investigation of problems.</p>
A1
<p>Apply Laplace transform/numerical techniques to solve differential equations in the context of engineering and science problems.</p>
A2
<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>
K1, K2, K3, S1, S2, S3, S4, A2
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>
K1, K3, S3, S4, A1
3
<p>A test on any part of or all the material covered in the unit.</p>
<p>Test</p>
<p>30% - 50%</p>
K1, K2, K3, S1, S2, S3, A1, A2
Supplementary assessment available:
Yes
Supplimentary 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
<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>
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 1 - Students require directions and boundaries from mentor</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.
Key information
Institute / school:
Institute of Innovation, Science & Sustainability
Discipline:
Engineering
Study level:
Undergraduate
Credit points:
15
EFTSL:
0.125
Field of education:
<a href="http://www.federation.edu.au/locate/unit/maths3100">010101 - Mathematics</a>
Offering:
<p><strong>Semester 2</strong><p>Ballarat - Mt Helen (On Campus)</p><p>Gippsland - Churchill (On Campus)</p><p>On-line Learning (Online)</p></p> <p><strong>Winter Semester</strong><p>Flexible Delivery - Berwick (Blended)</p></p>
Grade scheme:
Graded (e.g. HD, D, C, etc)
Placement component:
No
Disclaimer
<em>Information in the Federation Handbook is correct at the time of publication. The University reserves the right to alter any course, unit, procedure or fee.</em>
Additional information
Add Info Static Text
Internal reference: MATHS3100 - U2.4