| Effective Term: | 2024/05 |
| Institute / School : | Institute of Innovation, Science & Sustainability |
| Unit Title: | Modelling and Change (Introductory Level) |
| Unit ID: | MATHS1001 |
| Credit Points: | 15.00 |
| Prerequisite(s): | Nil |
| Co-requisite(s): | Nil |
| Exclusion(s): | (MA551) |
| 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 will also be considered. It will be particularly valuable to prospective secondary school mathematics teachers 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: | |
| Supplementary Assessment:No |
| Supplementary assessment is not available to students who gain a fail in this Unit. |
| 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. | Explain fundamental calculus techniques |
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| K3. | Describe how fundamental calculus techniques are related |
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| Skills: |
| S1. | Illustrate important features of functions using graphs |
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| S2. | Calculate the limit and derivative of functions |
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| S3. | Determine the general antiderivative of functions |
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| S4. | Evaluate definite and indefinite integrals |
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| S5. | Determine the area between curves and the volume of a solid using integration |
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| S6. | Utilise appropriate technology to assist in the solution and investigation of problems |
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| Application of knowledge and skills: |
| A1. | Apply differentiation and integration techniques to solve physical applications |
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| A2. | Interpret the results produced by a model to help solve real world problems |
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| Unit Content: |
Topics in this unit may include an introduction to the concepts of mathematical modelling and functions, calculus, trigonometry and optimisation through the use of real world problems. |
| Graduate Attributes: |
| | Learning Outcomes Assessed | Assessment Tasks | Assessment Type | Weighting | | 1. | K1-K3; S1-S6; A1-A2 | A range of tasks and problems explored individually or in groups to support the understanding of the content and the development of skills and knowledge throughout the unit. | Projects/presentation/assignments/quizzes | 40 - 50% | | 2. | K1-K2, S1-S5, A1 | A test and/or examination on any part of or all the material covered in the unit. | Test(s)/Examination(s) | 50 - 60% |
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