| Effective Term: | 2025/05 |
| Institute / School : | Institute of Innovation, Science & Sustainability |
| Unit Title: | Applied Mathematics 1 |
| Unit ID: | MATHS1100 |
| Credit Points: | 15.00 |
| Prerequisite(s): | Nil |
| Co-requisite(s): | Nil |
| Exclusion(s): | (MATHS1001) |
| ASCED: | 010101 |
| Other Change: | |
| Brief description of the Unit |
This unit is aimed at a broad tertiary level audience interested in solving real world problems. The main focus will be on learning and applying standard calculus techniques to model motion, growth and change. Problems requiring optimisation techniques and calculation of area, and involving differential equations will also be considered. It will be particularly valuable to prospective secondary school mathematics teachers, engineers and any student interested in improving their understanding of these commonly encountered areas of applied mathematics. |
| Grade Scheme: | Graded (HD, D, C, P, MF, F, XF) |
| Work Experience Indicator: |
| No work experience |
| Placement Component: | No |
| 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. | Describe the mathematical properties of functions. |
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| K2. | Demonstrate understanding of fundamental calculus techniques. |
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| K3. | Recognise the concept of a limit and its significance in calculus. |
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| Skills: |
| S1. | Illustrate and analyse important features of functions. |
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| S2. | Calculate derivatives and integrals of functions. |
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| S3. | Classify and identify different types of differential equations. |
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| S4. | Determine the area between curves and the volume of a solid using integration. |
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| S5. | Utilise appropriate technology to assist in the solution and investigation of problems. |
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| Application of knowledge and skills: |
| A1. | Solve applied problems using differentiation and integration techniques. |
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| A2. | Apply various methods of solutions for solving ordinary differential equations. |
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| A3. | Interpret the solutions to calculus problems understanding their implications in real world context. |
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| Unit Content: |
Topics in this unit may include an introduction to the concepts of mathematical modelling and functions, differential and integral calculus with applications, including differential equations.
Topics may include:
1. Functions and their graphs
2. Limits and continuity
3. Derivatives and applications
4. Integrals and applications
5. Differential equations |
| 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 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. | Level 1 - Students require directions and boundaries from mentor | 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 | N/A - 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. | Level 1 - Students require directions and boundaries from mentor | 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. | N/A - 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. | N/A - Not Applicable |
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| | Learning Outcomes Assessed | Assessment Tasks | Assessment Type | Weighting | | 1. | K1, K2, K3, S1, S2, S3, S4, S5, A1, A2, A3 | 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/Projects/Presentations | 50% - 70% | | 2. | K1, K2, K3, S1, S2, S3, S4, A1, A2 | A test on any part of or all the material covered in the unit | Test | 30% - 50% |
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