| Effective Term: | 2026/20 |
| Institute / School : | Institute of Innovation, Science & Sustainability |
| Unit Title: | Applied Mathematics 3 |
| Unit ID: | MATHS3100 |
| Credit Points: | 15.00 |
| Prerequisite(s): | (MATHS1100) |
| Co-requisite(s): | Nil |
| Exclusion(s): | (MATHS3001) |
| ASCED: | 010101 |
| Other Change: | |
| Brief description of the Unit |
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. |
| Grade Scheme: | Graded (HD, D, C, P, MF, F, XF) |
| Work Experience Indicator: |
| No work experience |
| Placement Component: | |
| Supplementary Assessment:Yes |
| 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 |
| Course Level: |
| Level of Unit in Course | AQF Level(s) of Course | | 5 | 6 | 7 | 8 | 9 | 10 | | Introductory | | | | | | | | Intermediate | | | | | | | | Advanced | | | | | | |
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| Learning Outcomes: |
| Knowledge: |
| Skills: |
| Application of knowledge and skills: |
| Other outcomes: |
| O1. | Communicate mathematical reasoning and results clearly and rigorously using appropriate notation, structure, and terminology. |
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| O2. | Analyse and solve problems using concepts and techniques from multivariate and vector calculus. |
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| O3. | Calculate approximate solutions of differential equations using numerical techniques. |
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| O4. | Utilise appropriate technology to assist in the solution and investigation of problems. |
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| O5. | Apply Laplace transform/numerical techniques to solve differential equations in the context of engineering and science problems. |
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| O6. | Apply concepts of multivariate and vector calculus to model and analyse problems in engineering and science. |
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| Unit Content: |
Topics may include:
1. Vector calculus with applications.
2. Multivariate calculus with applications.
3. Numerical methods for differential equations.
4. Laplace transform. |
| Graduate Attributes: |
| Federation University recognises that students require key transferable employability skills to prepare them for their future workplace and society. FEDTASKS (Transferable Attributes Skills and Knowledge) provide a targeted focus on five key transferable Attributes, Skills, and Knowledge that are be embedded within curriculum, developed gradually towards successful measures and interlinked with cross-discipline and Co-operative Learning opportunities. One or more FEDTASK, transferable Attributes, Skills or Knowledge must be evident in the specified learning outcomes and assessment for each FedUni Unit, and all must be directly assessed in each Course.
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| FED TASK and descriptor | Development and acquisition of FEDTASKS in the Unit | | Level | FEDTASK 1
Interpersonal | Students at this level will demonstrate an advanced ability in a range of contexts to effectively communicate, interact and work with others both individually and in groups. Students will be required to display high level skills in-person and/or online in: • Using and demonstrating a high level of verbal and non-verbal communication • Demonstrating a mastery of listening for meaning and influencing via active listening • Demonstrating and showing empathy for others • High order skills in negotiating and conflict resolution skills\\ • Demonstrating mastery of working respectfully in cross-cultural and diverse teams. | Level 2 - Student demonstrates some independence within provided guidelines | FEDTASK 2
Leadership | Students at this level will demonstrate a mastery in professional skills and behaviours in leading others. • Creating and sustaining a collegial environment • Demonstrating a high level of self -awareness and the ability to self-reflect and justify decisions • Inspiring and initiating opportunities to lead others • Making informed professional decisions • Demonstrating initiative in new professional situations. | | FEDTASK 3
Critical Thinking and Creativity | Students at this level will demonstrate high level skills in working in complexity and ambiguity using the imagination to create new ideas. Students will be required to display skills in: • Reflecting critically to generate and consider complex ideas and concepts at an abstract level • Analysing complex and abstract ideas, concepts and information • Communicate alternative perspectives to justify complex ideas • Demonstrate a mastery of challenging conventional thinking to clarify complex concepts • Forming creative solutions in problem solving to new situations for further learning. | Level 2 - Student demonstrates some independence within provided guidelines | FEDTASK 4
Digital Literacy | Students at this level will demonstrate the ability to work competently across a wide range of tools, platforms and applications to achieve a range of tasks. Students will be required to display skills in: • Mastering, exploring, evaluating, managing, curating, organising and sharing digital information professionally • Collating, managing complex data, accessing and using digital data securely • Receiving and responding professionally to messages in a range of professional digital media • Contributing competently and professionally to digital teams and working groups • Participating at a high level in digital learning opportunities. | Level 2 - Student demonstrates some independence within provided guidelines | FEDTASK 5
sustainable and Ethical Mindset | Students at this level will demonstrate a mastery of considering and assessing the consequences and impact of ideas and actions in enacting professional ethical and sustainable decisions. Students will be required to display skills in: • Demonstrate informed judgment making that considers the impact of devising complex solutions in ambiguous global economic environmental and societal contexts • Professionally committing to the promulgation of social responsibility • Demonstrate the ability to evaluate ethical, socially responsible and/or sustainable challenges and generating and articulating responses • Communicating lifelong, life-wide and life-deep learning to be open to the diverse professional others • Generating, leading and implementing required actions to foster sustainability in their professional and personal life | |
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| | Learning Outcomes Assessed | Assessment Tasks | Assessment Type | Weighting | Professional Standards |
| 1. |
1, 2, 4, 6 |
A range of tasks and problems are explored to support understanding the content and the development of skills and knowledge throughout the unit. |
Assignments |
30% - 50% |
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| 2. |
1, 3, 4, 5 |
A range of tasks and problems are explored in a group to support the understanding of the content and the development of mathematical communication. |
Project/Presentation |
20% - 40% |
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| 3. |
1, 2, 3, 5, 6 |
A test (written and/or oral) on any part of or all the material covered in the unit. |
Test/Viva |
30% - 50% |
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