| Effective Term: | 2022/17 |
| Institute / School : | Global Professional School |
| Unit Title: | Introduction to Maths |
| Unit ID: | GPFSP1202 |
| Credit Points: | 15.00 |
| Prerequisite(s): | Nil |
| Co-requisite(s): | Nil |
| Exclusion(s): | Nil |
| ASCED: | 120199 |
| Other Change: | |
| Brief description of the Unit |
This course will consider the material in the Methods stream of the Year 12 curriculum. The content of the learning program emphasises both mechanical accuracy in solutions, and correct interpretation of calculations in the context of problem solving. The assessment may require both autonomous and collaborative learning processes. Technological aides for producing results and the presentation thereof will be an integral component.
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| Grade Scheme: | Graded (HD, D, C, P, MF, F, XF) |
| Work Experience Indicator: |
| Placement Component: No |
| Supplementary Assessment: |
| 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: |
| After successfully completing this course students will be able to: |
| Knowledge: |
| K1. | Identify, describe, and explain the properties of various mathematical tools and techniques. |
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| K2. | Demonstrate proof and rigour in the presentation of solutions. |
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| Skills: |
| S1. | Perform algebraic manipulation of expressions and equations. |
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| S2. | Make, interpret, and apply graphs of functions. |
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| S3. | Derive and anti-derive functions, and interpret the results in the context of problem solving. |
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| S4. | Calculate probabilities, and interpret such calculations in the context of problem solving. |
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| Application of knowledge and skills: |
| A1. | Analyse and model simple real-world problems using mathematics. |
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| A2. | Present results in a logical, persuasive, and professional manner. |
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| Unit Content: |
Overview of functions (including linear functions, power functions, polynomials, exponential functions, and trigonometric functions), together with the associated graphs Arithmetic and geometric sequences and series Introductions to the differential calculus (including rates of change, the concept of the derivative, the computation of derivatives, and applications) Introduction to the integral calculus (including anti-differentiation, definite and indefinite integrals, the Fundamental Theorem of the calculus, and applications) Introduction to counting and probability (including combinations, permutations, probability, conditional probability, and independence) Discrete random variables (including general discrete random variables, the Bernoulli distribution, and the binomial distribution) |
| Values: |
| V1. | Have a positive attitude toward mathematics. |
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| V2. | Appreciate mathematics as a useful problem-solving tool. |
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| V3. | Value the use of statistics as analytical tool. |
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| Graduate Attributes: |
| The Federation University graduate attributes (GA) are entrenched in the Higher Education Graduate Attributes Policy (LT1228).Federation University Australia graduates develop these graduate attributes through their engagement in explicit learning and teaching and assessment tasks that are embedded in all Federation Courses. Graduate attribute attainment typically follows an incremental development process mapped through Course progression. One or more graduate attributes must be evident in the specified learning outcomes and assessment for each Federation University Australia Unit, and all attributes must be directly assessed in each Course. |
| Graduate attribute and descriptor | Development and acquisition of GAs in the Unit | Learning outcomes
(KSA) | Assessment task
(AT#) | GA 1
Thinkers | Our graduates are curious, reflective and critical. Able to analyse the world in a way that generates valued insights, they are change makers seeking and creating new solutions. | K1, S1-4, A1 | AT1, AT2, AT3, AT4 | GA 2
Innovators | Our graduates have ideas and are able to realise their dreams. They think and act creatively to achieve and inspire positive change. | K1, S1-4, A1 | AT1, AT2, AT3, AT4 | GA 3
Citizens | Our graduates engage in socially and culturally appropriate ways to advance individual, community and global well-being. They are socially and environmentally aware, acting ethically, equitably and compassionately. | N/A | AT3 | GA 4
Communicators | Our graduates create, exchange, impart and convey information, ideas, and concepts effectively. They are respectful, inclusive and empathetic towards their audience, and express thoughts, feelings and information in ways that help others to understand. | K1-2, S1-4, A1-2 | AT1, AT2, AT3, AT4 | GA 5
Leaders | Our graduates display and promote positive behaviours, and aspire to make a difference. They act with integrity, are receptive to alternatives and foster sustainable and resilient practices. | K1-2, S1-4, A1-2 | AT3 |
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| | Learning Outcomes Assessed | Assessment Tasks | Assessment Type | Weighting | | 1. | K1, K2, S1, S2, S3, S4, A1 | Assignment | Written assignment | 10-20% | | 2. | K1, K2, S1, S2, S3, S4, A1 | Assignment | Written assignment | 10-20% | | 3. | K1, K2, S1, S2, S3, S4, A1, A2 | Problem solving analysis and presentation | Word or PowerPoint assignment | 20-30% | | 4. | K1, K2, S1, S2, S3, S4, A1 | Final assessment / Exam | Final assessment / Exam | 40-50% |
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