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HE Unit Template
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Applied Mathematics 1
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MATHS1100 - Applied Mathematics 1
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20260200
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3.2
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2026-06-16
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2026-06-16
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Engineering
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Institute of Innovation, Science & Sustainability
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Engineering
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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/maths1100">010101 - Mathematics</a>
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Graded (e.g. HD, D, C, etc)
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7
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<p>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, and involving differential equations will also be considered. It will be particularly valuable to prospective secondary school mathematics teachers, engineers and any student interested in improving their understanding of these commonly encountered areas of applied mathematics.</p>
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<p>Topics in this unit may include an introduction to the concepts of mathematical modelling and functions, differential and integral calculus with applications, including differential equations. <br>
Topics may include:<br>
1. Functions and their graphs<br>
2. Limits and continuity<br>
3. Derivatives and applications<br>
4. Integrals and applications<br>
5. Differential equations</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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2026
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2026
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MATHS1100 - Applied Mathematics 1
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MATHS1100 - Applied Mathematics 1
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Year
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Overview
Key information
Requisites
Learning outcomes
Assessment
FedTASK
Parent Region
Overview
Unit description
<p>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, and involving differential equations will also be considered. It will be particularly valuable to prospective secondary school mathematics teachers, engineers and any student interested in improving their understanding of these commonly encountered areas of applied mathematics.</p>
Unit content
<p>Topics in this unit may include an introduction to the concepts of mathematical modelling and functions, differential and integral calculus with applications, including differential equations. <br> Topics may include:<br> 1. Functions and their graphs<br> 2. Limits and continuity<br> 3. Derivatives and applications<br> 4. Integrals and applications<br> 5. Differential equations</p>
Key information
Institute / school:
Institute of Innovation, Science & Sustainability
Discipline:
Engineering
Study level:
Undergraduate
Credit points:
15
EFTSL:
0.125
Field of education:
<a href="http://www.federation.edu.au/locate/unit/maths1100">010101 - Mathematics</a>
Grade scheme:
Graded (e.g. HD, D, C, etc)
Placement component:
No
Requisites
Prerequisite
None
Corequisite
None
Exclusion
<p>must not have completed "MATHS1001"</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 an understanding of the fundamental calculus concepts and techniques.</p>
K2
<p>Recognise the concept of a limit, its significance in calculus and evaluate limits using analytical techniques. </p>
S1
<p>Illustrate and analyse important features and properties of functions.</p>
S2
<p>Compute derivatives of functions using appropriate differentiation rules.</p>
S3
<p>Evaluate definite and indefinite integrals using appropriate integration techniques. </p>
S4
<p>Utilise appropriate technology to assist in the solution and investigation of problems.</p>
S5
<p>Communicate mathematical ideas, reasoning, and results clearly and accurately in oral and written forms.</p>
A1
<p>Solve applied problems using differentiation and integration techniques.</p>
A2
<p>Interpret and model basic real-world problems using fundamental calculus concepts. </p>
A3
<p>Classify ordinary differential equations and apply the suitable methods to obtain their solutions.</p>
Assessment
Learning Tasks and Assessment
Ref
Learning task
Assessment type
Weighting
Learning outcomes assessed
1
<p>A range of tasks and problems are explored to support the understanding of the content and the development of skills and knowledge throughout the unit.</p>
<p>Assignment/Project/Quiz</p>
<p>50% - 70%</p>
K1, K2, S1, S2, S3, S4, S5, A1, A2, A3
2
<p>A test and/or examination (written or oral) on any part of or all the material covered in the unit</p>
<p>Test/Examination/Viva</p>
<p>30% - 50%</p>
K1, K2, S1, S2, S3, S5, A1, A3
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.
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.
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.
Key information
Institute / school:
Institute of Innovation, Science & Sustainability
Discipline:
Engineering
Study level:
Undergraduate
Credit points:
15
EFTSL:
0.125
Field of education:
<a href="http://www.federation.edu.au/locate/unit/maths1100">010101 - Mathematics</a>
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: MATHS1100 - U3.2