| Effective Term: | 2024/05 |
| Institute / School : | Federation TAFE |
| 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. |
| 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. | 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) |
| Graduate Attributes: |
| | 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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