| Effective Term: | 2024/05 |
| Institute / School : | Institute of Innovation, Science & Sustainability |
| Unit Title: | Introduction to Mathematics: Principles and Techniques |
| Unit ID: | MATHS1101 |
| Credit Points: | 15.00 |
| Prerequisite(s): | Nil |
| Co-requisite(s): | Nil |
| Exclusion(s): | (MATHS1000) |
| ASCED: | 010101 |
| Other Change: | |
| Brief description of the Unit |
This unit allows students to build conceptual understanding and see the relevance of mathematics in a scientific and technical context. Various concepts and techniques in elementary mathematics that will equip students for further mathematical and technical unitss will be introduced/reviewed. The unit would be particularly valuable to students interested in improving their understanding of basic mathematical principles and techniques and to prospective teachers of mathematics at primary and secondary level. |
| 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. | Understand how basic mathematical techniques can be used to solve problems in various scientific and technical contexts. |
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| K2. | Identify, describe and explain the nature and properties of various mathematical functions and graphs |
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| K3. | Understand basic concepts of probability and set theory |
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| Skills: |
| S1. | Manipulate and rearrange algebraic expressions |
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| S2. | Solve simultaneous equations |
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| S3. | Analyse functions using their graphs |
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| S4. | Perform basic operations on matrices and vectors |
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| S5. | Apply basic geometry and trigonometry to solve practical problems |
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| S6. | Use mathematical software to solve various mathematical problems |
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| Application of knowledge and skills: |
| A1. | Model and analyse physical phenomena using mathematical constructs |
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| Unit Content: |
Topics may include: Elementary algebra Elementary functions and their graphs Elementary geometry Trigonometry Basic notions of linear algebra Basic probability Basic set theory Basic mathematical logic |
| 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 | Learning outcomes
(KSA) | Assessment task
(AT#) | FEDTASK 1
Interpersonal | Students will demonstrate the ability to effectively communicate, inter-act and work with others both individually and in groups. Students will be required to display skills in-person and/or online in: • Using effective verbal and non-verbal communication • Listening for meaning and influencing via active listening • Showing empathy for others • Negotiating and demonstrating conflict resolution skills • Working respectfully in cross-cultural and diverse teams. | Not applicable | Not applicable | FEDTASK 2
Leadership | Students will demonstrate the ability to apply professional skills and behaviours in leading others. Students will be required to display skills in: • Creating a collegial environment • Showing self -awareness and the ability to self-reflect • Inspiring and convincing others • Making informed decisions • Displaying initiative | Not applicable | Not applicable | FEDTASK 3
Critical Thinking and Creativity | Students will demonstrate an ability to work in complexity and ambiguity using the imagination to create new ideas. Students will be required to display skills in: • Reflecting critically • Evaluating ideas, concepts and information • Considering alternative perspectives to refine ideas • Challenging conventional thinking to clarify concepts • Forming creative solutions in problem solving. | Not applicable | Not applicable | FEDTASK 4
Digital Literacy | Students will demonstrate the ability to work fluently across a range of tools, platforms and applications to achieve a range of tasks. Students will be required to display skills in: • Finding, evaluating, managing, curating, organising and sharing digital information • Collating, managing, accessing and using digital data securely • Receiving and responding to messages in a range of digital media • Contributing actively to digital teams and working groups • Participating in and benefiting from digital learning opportunities. | Not applicable | Not applicable | FEDTASK 5
Sustainable and Ethical Mindset | Students will demonstrate the ability to consider and assess the consequences and impact of ideas and actions in enacting ethical and sustainable decisions. Students will be required to display skills in: • Making informed judgments that consider the impact of devising solutions in global economic environmental and societal contexts • Committing to social responsibility as a professional and a citizen • Evaluating ethical, socially responsible and/or sustainable challenges and generating and articulating responses • Embracing lifelong, life-wide and life-deep learning to be open to diverse others • Implementing required actions to foster sustainability in their professional and personal life. | Not applicable | Not applicable |
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| | Learning Outcomes Assessed | Assessment Tasks | Assessment Type | Weighting | | 1. | K1-K2; S1-S6, A1 | Participate in class activities; use mathematical software | Portfolio of completed work | 10-30% | | 2. | K1-K3; S1-S6; A1 | Self-directed or group exploration; problem solving | Assignment/Project/Presentation | 10-30% | | 3. | K1-K3; S1-S5 | Review and skills practice | Test/Examination | 40-60% |
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