| Effective Term: | 2026/20 |
| Institute / School : | Institute of Innovation, Science & Sustainability |
| Unit Title: | Applied Mathematics 2 |
| Unit ID: | MATHS2100 |
| Credit Points: | 15.00 |
| Prerequisite(s): | Nil |
| Co-requisite(s): | Nil |
| Exclusion(s): | (MATHS1005 and MATHS1102) |
| ASCED: | 010101 |
| Other Change: | |
| Brief description of the Unit |
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.
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. |
| 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: |
| K1. | Recognise the basic techniques used for solving problems in linear algebra. |
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| K2. | Explain and classify the fundamental structure of vectors, matrices and matrix arithmetic. |
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| K3. | Express real world problems into mathematical models using linear equations and inequalities to represent objecitve function and constraints. |
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| K4. | Recognise basic statistical concepts used to solve problems in science and engineering. |
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| Skills: |
| S1. | Perform operations on vectors and matrices. |
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| S2. | Solve systems of linear equations. |
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| S3. | Solve constrained optimisation problems using linear programming. |
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| S4. | Utilise appropriate software to assist in the solution and investigation of problems. |
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| Application of knowledge and skills: |
| A1. | Apply statistical techniques to investigate problems in science and engineering. |
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| A2. | Formulate basic problems in science and engineering as mathematical problems using concepts from linear algebra and linear programming. |
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| Other outcomes: |
| Unit Content: |
Topics may include:
1. Vector spaces, inner products, linear independence, basis, dimension and rank of matrices;
2. Matrix representations and solving of systems of linear equations.
3. Operations research (Linear programming and scheduling techniques).
4. Statistics basics and applications |
| 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 1 - Students require directions and boundaries from mentor | 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 1 - Students require directions and boundaries from mentor | 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. |
K1, K2, K3, K4, S1, S2, S3, S4 |
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. |
Assignments |
30% - 50% |
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| 2. |
S2, S3, S4, A2 |
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 and presentation |
20% - 40% |
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| 3. |
K1, K2, K3, K4, S1, S2, S3, S4, A1 |
A test on any part of or all the material covered in the unit |
Test |
30% - 50% |
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