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HE Unit Template
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Modelling Continuous Change (Advanced)
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MATHS3016 - Modelling Continuous Change (Advanced)
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20250200
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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/maths3016">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 forms part of a general sequence of mathematics units which provides mathematical tools to model phenomena in the physical, engineering, biological and mathematical sciences. It is aimed at an audience with sound mathematical background and interest in solving real world problems. The main focus will be on differential equations, the tools to solve them, and their applications to model motion, growth and change. We will also consider problems whose solution may require both basic and advanced mathematics or statistics techniques. The unit will be particularly valuable to science and engineering students, prospective senior secondary school mathematics teachers, and any student interested in improving their understanding of these commonly encountered concepts and applications of mathematics.</p>
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<p>Topics may include:<br>
1. Ordinary differential equations.<br>
2. Systems of differential equations.<br>
3. Partial differential equations. <br>
4. Applications of differential equations.<br>
5. Mathematical modelling of problems in science and engineering.<br>
6. Introduction of advanced concepts and techniques from mathematics or statistics to solve mathematical models.</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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2027
Current Year
2026
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MATHS3016 - Modelling Continuous Change (Advanced)
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MATHS3016 - Modelling Continuous Change (Advanced)
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Semester
Semester 1
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Year
2027
2026
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Overview
Key information
Requisites
Learning outcomes
Assessment
FedTASK
Parent Region
Overview
Unit description
<p>This unit forms part of a general sequence of mathematics units which provides mathematical tools to model phenomena in the physical, engineering, biological and mathematical sciences. It is aimed at an audience with sound mathematical background and interest in solving real world problems. The main focus will be on differential equations, the tools to solve them, and their applications to model motion, growth and change. We will also consider problems whose solution may require both basic and advanced mathematics or statistics techniques. The unit will be particularly valuable to science and engineering students, prospective senior secondary school mathematics teachers, and any student interested in improving their understanding of these commonly encountered concepts and applications of mathematics.</p>
Unit content
<p>Topics may include:<br> 1. Ordinary differential equations.<br> 2. Systems of differential equations.<br> 3. Partial differential equations. <br> 4. Applications of differential equations.<br> 5. Mathematical modelling of problems in science and engineering.<br> 6. Introduction of advanced concepts and techniques from mathematics or statistics to solve mathematical models.</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/maths3016">View unit fees</a>
Requisites
Prerequisite
<p>must have completed "MATHS1001"</p>
Corequisite
None
Exclusion
<p>must not have completed "<a href="/ords/r/curriculum/catalogue/course?p6_code=MATHS2016" target="_blank">MATHS2016</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 common principles in a variety of real-life applications of mathematical modelling.</p>
K2
<p>Describe how mathematics can model phenomena in nature and science.</p>
K3
<p>Describe important concepts of advanced mathematics, including ordinary differential equations.</p>
K4
<p>Recognise the importance of rigour and structure when solving mathematics problems.</p>
S1
<p>Classify and identify different types of differential equations.</p>
S2
<p>Apply various methods of solutions for solving advanced ordinary differential equations, systems of ordinary differential equations and partial differential equations.</p>
S3
<p>Calculate approximate solutions of differential equations using numerical methods.</p>
S4
<p>Use basic statistical concepts and hypothesis testing to solve problems in science and engineering.</p>
S5
<p>Utilise MATLAB to assist in the solution and investigation of problems.</p>
A1
<p>Formulate advanced problems in science and engineering as mathematical problems involving concepts such as ordinary differential equations, systems of ordinary differential equations and partial differential equations.</p>
A2
<p>Analyse and interpret results produced by a mathematical model in the context of differential equations.</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, S5
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, S4, S5, A1, A2
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, 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
<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.
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.
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/maths3016">View unit fees</a>
Additional information
Cards Section - Non Research
Add Info Static Text
Internal reference: MATHS3016 - U1.2