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HE Unit Template
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Introduction to Technical Maths
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EDMTH1000 - Introduction to Technical Maths
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20260200
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Course
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Unit
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3.1
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2026-06-16
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2026-06-16
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Preparatory
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Institute of Education, Arts & Community
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Preparatory
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Undergraduate
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15
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.125
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010101
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Mathematics
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<a href="http://www.federation.edu.au/locate/unit/edmth1000">010101 - Mathematics</a>
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Graded (e.g. HD, D, C, etc)
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7
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Bachelor Degree
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Introductory
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<p>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.</p>
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<p>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.</p>
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<p>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.</p>
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Overview
Key information
Requisites
Learning outcomes
Assessment
FedTASK
Parent Region
Overview
Unit description
<p>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.</p>
Unit content
<p>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.</p>
Key information
Institute / school:
Institute of Education, Arts & Community
Discipline:
Preparatory
Study level:
Undergraduate
Credit points:
15
EFTSL:
0.125
Field of education:
<a href="http://www.federation.edu.au/locate/unit/edmth1000">010101 - Mathematics</a>
Offering:
<p><strong>Semester 2</strong><p>Ballarat - Mt Helen (On Campus)</p><p>Berwick (On Campus)</p><p>Gippsland - Churchill (On Campus)</p><p>On-line Learning (Online)</p></p>
Grade scheme:
Graded (e.g. HD, D, C, etc)
Placement component:
No
Requisites
Prerequisite
None
Corequisite
None
Exclusion
<p>must not have completed "FASTP1203"</p>
Learning outcomes
Learning outcomes
<p>On successful completion of this unit, students are expected to gain the following [K]nowledge, [S]kills and [A]pplication of knowledge & skills</p>
Learning Outcomes
Ref
Outcome
K1
<p>Demonstrate how basic mathematical functions can be used to solve technical and engineering problems,</p>
K2
<p>Identify, describe and explain the nature and properties of various mathematical functions and graphs,</p>
K3
<p>Explain the basic concepts of differential and integral calculus</p>
S1
<p>Use mathematical software to manipulate, solve and graph various functions,</p>
S2
<p>Manipulate and transpose algebraic expressions accurately,</p>
S3
<p>Solve simultaneous equations analytically, graphically and by using matrices,</p>
S4
<p>Graph and analyse exponential, logarithmic and trigonometric functions for solutions,</p>
S5
<p>Perform basic operations on matrices and vectors, add and resolve vectors,</p>
S6
<p>Use geometric and trigonometric properties of angles and circles to solve practical problems,</p>
S7
<p>Apply the basic concepts of differential and integral calculus</p>
A1
<p>Use mathematical techniques to model and analyse the physical world,</p>
A2
<p>Recognise the common principles in a variety of technical and engineering applications.</p>
Assessment
Learning Tasks and Assessment
Ref
Learning task
Assessment type
Weighting
Learning outcomes assessed
1
<p>Formative topic test 1</p>
<p>Topic test</p>
<p>10-20%</p>
K1, S2, S3, S5, A1, A2
2
<p>Students complete a set of assigned questions demonstrating all working of the problem</p>
<p>Assignment</p>
<p>30-40%</p>
K1, K2, S1, S2, S6, A1, A2
3
<p>Formative topic test 2</p>
<p>Topic test</p>
<p>10-20%</p>
K2, K3, S2, S4, S5, S6, S7, A1, A2
4
<p>Two-hour examination covering all unit content, scientific calculator and two A4 2 sided sheets of notes allowed.</p>
<p>Exam</p>
<p>30-40%</p>
K1, K2, K3, S1, S2, S3, S4, S5, S6, S7, A1, A2
Supplementary assessment available:
Yes
Supplimentary assessment information:
<p>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.</p>
FedTASK
FedTASK
<p>Federation University recognises that students require key transferable employability skills to prepare them for their future workplace and society. FedTASKs (<strong>T</strong>ransferable <strong>A</strong>ttributes <strong>S</strong>kills and <strong>K</strong>nowledge) provide a targeted focus on five key, transferable Attributes, Skills, and Knowledge that are embedded within curriculum, developed gradually towards successful measures and interlinked with cross-discipline and co-operative learning opportunities.</p>
FedTASK
Description of FedTASK outcome
Level
FedTASK 1: Interpersonal
The ability to effectively communicate, interact and work with others both individually and in groups.
<p>Level 1 - Students require directions and boundaries from mentor</p>
FedTASK 2: Leadership
The ability to apply professional skills and behaviours in leading others.
<p>Level 1 - Students require directions and boundaries from mentor</p>
FedTASK 3: Critical Thinking and Creativity
The ability to work in complexity and ambiguity using imagination to create new ideas.
<p>Level 1 - Students require directions and boundaries from mentor</p>
FedTASK 4: Digital Literacy
The ability to work fluently across a range of tools and applications to achieve a range of skills.
<p>Level 1 - Students require directions and boundaries from mentor</p>
FedTASK 5: Sustainable and Ethical Mindset
The ability to consider and assess the consequences and impact of ideas and actions in enacting ethical and sustainable decisions.
<p>Level 1 - Students require directions and boundaries from mentor</p>
Key information
Institute / school:
Institute of Education, Arts & Community
Discipline:
Preparatory
Study level:
Undergraduate
Credit points:
15
EFTSL:
0.125
Field of education:
<a href="http://www.federation.edu.au/locate/unit/edmth1000">010101 - Mathematics</a>
Offering:
<p><strong>Semester 2</strong><p>Ballarat - Mt Helen (On Campus)</p><p>Berwick (On Campus)</p><p>Gippsland - Churchill (On Campus)</p><p>On-line Learning (Online)</p></p>
Grade scheme:
Graded (e.g. HD, D, C, etc)
Placement component:
No
Disclaimer
<em>Information in the Federation Handbook is correct at the time of publication. The University reserves the right to alter any course, unit, procedure or fee.</em>
Additional information
Add Info Static Text
Internal reference: EDMTH1000 - U3.1