| Effective Term: | 2026/05 |
| Institute / School : | Institute of Education, Arts & Community |
| Unit Title: | Introduction to Technical Maths |
| Unit ID: | EDMTH1000 |
| Credit Points: | 15.00 |
| Prerequisite(s): | Nil |
| Co-requisite(s): | Nil |
| Exclusion(s): | (FASTP1203) |
| ASCED: | 010101 |
| Other Change: | |
| Brief description of the Unit |
On completion of this unit, students should have developed the mathematical understanding and tools needed to undertake further mathematical studies, including in an engineering discipline. Students will be able to demonstrate competency with basic technical mathematics; use functions involving powers, logarithms and exponents and trigonometric functions; manipulate a wide range of algebraic equations in order to substitute values and to transform to solve for a particular variable; solve systems of linear equations; perform basic operations on vectors and matrices; use geometric and trigonometric properties of angles and circles to solve problems; apply the basic concepts of differential and integral calculus and apply the above skills in context to solve technical and engineering problems. |
| 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. | Demonstrate how basic mathematical functions can be used to solve technical and engineering problems, |
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| K2. | Identify, describe and explain the nature and properties of various mathematical functions and graphs, |
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| K3. | Explain the basic concepts of differential and integral calculus |
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| Skills: |
| S1. | Use mathematical software to manipulate, solve and graph various functions, |
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| S2. | Manipulate and transpose algebraic expressions accurately, |
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| S3. | Solve simultaneous equations analytically, graphically and by using matrices, |
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| S4. | Graph and analyse exponential, logarithmic and trigonometric functions for solutions, |
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| S5. | Perform basic operations on matrices and vectors, add and resolve vectors, |
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| S6. | Use geometric and trigonometric properties of angles and circles to solve practical problems, |
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| S7. | Apply the basic concepts of differential and integral calculus |
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| Application of knowledge and skills: |
| A1. | Use mathematical techniques to model and analyse the physical world, |
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| A2. | Recognise the common principles in a variety of technical and engineering applications. |
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| Unit Content: |
The unit covers the following topics: Algebra, functions and graphs: Solving linear equations, inequations, algebraic fractions, substitution and transposition of formulae, solving simultaneous linear equations, index and logarithm laws, polynomial functions, quadratic functions, cubic and power functions - solving and sketching graphs. Matrices: Addition, subtraction and multiplication of matrices, Inverses and determinants for 2 by 2 matrices, matrix solutions to simultaneous equations, transformations in the plane - reflection, rotation and translation Vectors: definition, representations - matrix, coordinates and i , j system, addition and subtraction of vectors, multiplication by a scalar, resolving a vector in rectangular components, determining the magnitude of a vector, the unit vector. Functions and graphs: Exponential and logarithmic functions - sketch and interpret, applications of these functions, trigonometric functions, convert between degrees and radians, circular functions using the unit circle, sketch, applications of circular functions, solve problems using trigonometric identities and addition and double angle formulae. Calculus: average and instantaneous rates of change, gradient of a tangent at a point, first principles approach to derivatives, simple derivatives of polynomial functions, circular functions and exponentials, applications of differentiation including instantaneous rates of change, stationary values of functions, anti-derivatives of simple functions. Mechanics - statics of a particle: basic terminology and principles, using a triangle of forces to solving problems, resolving forces. |
| 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 | Level 1 - Students require directions and boundaries from mentor | 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. | Level 1 - Students require directions and boundaries from mentor | 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. | Level 1 - Students require directions and boundaries from mentor |
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| | Learning Outcomes Assessed | Assessment Tasks | Assessment Type | Weighting | Professional Standards |
| 1. |
K1, S2, S3, S5, A1, A2 |
Formative topic test 1 |
Topic test |
10-20% |
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| 2. |
K1, K2, S1, S2, S6, A1, A2 |
Students complete a set of assigned questions demonstrating all working of the problem |
Assignment |
30-40% |
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| 3. |
K2, K3, S2, S4, S5, S6, S7, A1, A2 |
Formative topic test 2 |
Topic test |
10-20% |
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| 4. |
K1, K2, K3, S1, S2, S3, S4, S5, S6, S7, A1, A2 |
Two-hour examination covering all unit content, scientific calculator and two A4 2 sided sheets of notes allowed. |
Exam |
30-40% |
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