MZB221 Advanced Engineering Mathematics
To view more information for this unit, select Unit Outline from the list below. Please note the teaching period for which the Unit Outline is relevant.
| Unit code: | MZB221 |
|---|---|
| Prerequisite(s): | MZB126 or MZB127 or MXB105 |
| Credit points: | 12 |
| Timetable | Details in HiQ, if available |
| Availabilities |
|
| CSP student contribution | $592 |
| Domestic tuition unit fee | $3,816 |
| International unit fee | $4,872 |
Unit Outline: Semester 1 2026, Gardens Point, Internal
| Unit code: | MZB221 |
|---|---|
| Credit points: | 12 |
| Pre-requisite: | MZB126 or MZB127 or MXB105 |
| Coordinators: | Scott McCue | scott.mccue@qut.edu.au |
Overview
Mathematics underpins all fields of engineering including signal analysis, telecommunications and circuit design, vibration mode analysis, automation and control, process control. This unit will introduce you to foundational mathematical techniques relevant to several Engineering majors (Electrical, Mechanical, Medical Engineering, and Chemical and Sustainable Process), building on your mathematical knowledge and skills developed in MZB127 Engineering Mathematics and Statistics. Throughout the unit, you will be introduced to new mathematical concepts and methods in integral transforms, differential and integral calculus, linear algebra and differential equations essential to the remaining parts of your Engineering degree.
Learning Outcomes
On successful completion of this unit you will be able to:
- Demonstrate knowledge of mathematical concepts and ideas relevant to Engineering at a developed level.
- Utilise technical notation and correct techniques when solving mathematical problems relevant to Engineering at a developed level.
- Interpret, translate and solve real world problems relevant to Engineering using mathematical methods at a developed level.
- Demonstrate correct application of computational tools to solve mathematical problems relevant to Engineering, at an advanced level
- Communicate effectively in mathematical formats to specialist Engineering audiences, at an advanced level.
Content
- Fourier series,
- Laplace transform, solution of differential equations using Laplace transforms, linear and nonlinear systems of differential equations
- Vector calculus, cylindrical and spherical coordinates; Differential lengths and areas; Line, surface and volume integrals.
Learning Approaches
This unit involves weekly lecture material where mathematical theory, concepts and methods will be presented, developed and explained, and where you will be shown how to solve problems using the methods of this unit. There will also be workshop activities each week, where you will have the opportunity to further explore concepts and apply mathematical techniques to solve problems. Concepts and techniques will be motivated by drawing upon real-world applications or purely mathematical scenarios.
You will be able to engage with the Unit Coordinator and/or Lecturer during timetabled support sessions. At the beginning of the unit, you will be made aware of other ways in which you can ask questions or seek clarification from the teaching team.
You will be expected to:
1. Prepare for timetabled activities by engaging with the learning resources available from the unit website.
2. Engage with timetabled activities and ask questions.
3. Work on exercises/problems during timetabled activities and in your own time.
4. Engage with your peers on exercises/problems and then work independently to complete your assessment tasks.
Feedback on Learning and Assessment
Formative feedback will be provided throughout the workshop sessions. Review of submitted assessment items will provide both summative and formative feedback.
Assessment
Overview
The assessment items in this unit are designed to determine your level of competency in meeting the unit outcomes while providing you with a range of tasks with varying levels of skill development and difficulty.
Unit Grading Scheme
7- point scale
Assessment Tasks
Assessment: Problem Solving Task
You will solve extended, contextualised problems that require the synthesis of more than one mathematical technique for their solution. You will be expected to show the detailed working of all answers and utilise appropriate technical notation and correct techniques.
The ethical and responsible use of generative artificial intelligence (GenAI) tools is authorised in this assessment. See the relevant assessment details in Canvas for specific guidelines.
This assignment is eligible for the 48-hour late submission period and assignment extension.
Assessment: Examination (invigilated)
The use of generative artificial intelligence (GenAI) tools is prohibited during this assessment.
Academic Integrity
Academic integrity is a commitment to undertaking academic work and assessment in a manner that is ethical, fair, honest, respectful and accountable.
The Academic Integrity Policy sets out the range of conduct that can be a failure to maintain the standards of academic integrity. This includes, cheating in exams, plagiarism, self-plagiarism, collusion and contract cheating. It also includes providing fraudulent or altered documentation in support of an academic concession application, for example an assignment extension or a deferred exam.
You are encouraged to make use of QUT’s learning support services, resources and tools to assure the academic integrity of your assessment. This includes the use of text matching software that may be available to assist with self-assessing your academic integrity as part of the assessment submission process.
Breaching QUT’s Academic Integrity Policy or engaging in conduct that may defeat or compromise the purpose of assessment can lead to a finding of student misconduct (Code of Conduct – Student) and result in the imposition of penalties under the Management of Student Misconduct Policy, ranging from a grade reduction to exclusion from QUT.
Resources
There are no set texts for this unit. Unit resource materials will be made available on the unit website.
Risk Assessment Statement
There are no out of the ordinary risks associated with this unit, as all classes will be held in lecture theatres and small group tutorial rooms. Emergency exits and assembly areas will be made apparent to all attending students. You are referred to the University policy on health and safety (http://www.mopp.qut.edu.au/A/A_09_01.jsp)
Standards/Competencies
This unit is designed to support your development of the following standards\competencies.
Engineers Australia Stage 1 Competency Standard for Professional Engineer
1: Knowledge and Skill Base
Relates to: Problem Solving Task, Examination (invigilated)
Relates to: Problem Solving Task, Examination (invigilated)
Relates to: Problem Solving Task, Examination (invigilated)
2: Engineering Application Ability
Relates to: Problem Solving Task, Examination (invigilated)
Relates to: Problem Solving Task
3: Professional and Personal Attributes
Relates to: Problem Solving Task
Course Learning Outcomes
This unit is designed to support your development of the following course/study area learning outcomes.EN01 Bachelor of Engineering (Honours)
- Engage stakeholders professionally and communicate the outcomes of your work effectively to expert and non-expert audiences using appropriate modes.
Relates to: ULO5, Problem Solving Task - Demonstrate coherent knowledge and skills of physical, mathematical, statistical, computer, and information sciences that are fundamental to professional engineering practice.
Relates to: ULO1, ULO2, ULO3, ULO4 - Demonstrate a thorough understanding of one engineering discipline, its research directions, and its application in contemporary professional engineering practice.
Relates to: Problem Solving Task, Examination (invigilated)
EV01 Bachelor of Engineering (Honours)
- Engage stakeholders professionally and communicate the outcomes of your work effectively to expert and non-expert audiences using appropriate modes.
Relates to: Problem Solving Task - Demonstrate a thorough understanding of one engineering discipline, its research directions, and its application in contemporary professional engineering practice.
Relates to: Problem Solving Task, Examination (invigilated)
Unit Outline: Semester 2 2026, Gardens Point, Internal
| Unit code: | MZB221 |
|---|---|
| Credit points: | 12 |
| Pre-requisite: | MZB126 or MZB127 or MXB105 |
| Coordinators: | Nicholas Buttle | n.buttle@qut.edu.au |
Overview
Mathematics underpins all fields of engineering including signal analysis, telecommunications and circuit design, vibration mode analysis, automation and control, process control. This unit will introduce you to foundational mathematical techniques relevant to several Engineering majors (Electrical, Mechanical, Medical Engineering, and Chemical and Sustainable Process), building on your mathematical knowledge and skills developed in MZB127 Engineering Mathematics and Statistics. Throughout the unit, you will be introduced to new mathematical concepts and methods in integral transforms, differential and integral calculus, linear algebra and differential equations essential to the remaining parts of your Engineering degree.
Learning Outcomes
On successful completion of this unit you will be able to:
- Demonstrate knowledge of mathematical concepts and ideas relevant to Engineering at a developed level.
- Utilise technical notation and correct techniques when solving mathematical problems relevant to Engineering at a developed level.
- Interpret, translate and solve real world problems relevant to Engineering using mathematical methods at a developed level.
- Demonstrate correct application of computational tools to solve mathematical problems relevant to Engineering, at an advanced level
- Communicate effectively in mathematical formats to specialist Engineering audiences, at an advanced level.
Content
- Fourier series,
- Laplace transform, solution of differential equations using Laplace transforms, linear and nonlinear systems of differential equations
- Vector calculus, cylindrical and spherical coordinates; Differential lengths and areas; Line, surface and volume integrals.
Learning Approaches
This unit involves weekly lecture material where mathematical theory, concepts and methods will be presented, developed and explained, and where you will be shown how to solve problems using the methods of this unit. There will also be workshop activities each week, where you will have the opportunity to further explore concepts and apply mathematical techniques to solve problems. Concepts and techniques will be motivated by drawing upon real-world applications or purely mathematical scenarios.
You will be able to engage with the Unit Coordinator and/or Lecturer during timetabled support sessions. At the beginning of the unit, you will be made aware of other ways in which you can ask questions or seek clarification from the teaching team.
You will be expected to:
1. Prepare for timetabled activities by engaging with the learning resources available from the unit website.
2. Engage with timetabled activities and ask questions.
3. Work on exercises/problems during timetabled activities and in your own time.
4. Engage with your peers on exercises/problems and then work independently to complete your assessment tasks.
Feedback on Learning and Assessment
Formative feedback will be provided throughout the workshop sessions. Review of submitted assessment items will provide both summative and formative feedback.
Assessment
Overview
The assessment items in this unit are designed to determine your level of competency in meeting the unit outcomes while providing you with a range of tasks with varying levels of skill development and difficulty.
Unit Grading Scheme
7- point scale
Assessment Tasks
Assessment: Problem Solving Task
You will solve extended, contextualised problems that require the synthesis of more than one mathematical technique for their solution. You will be expected to show the detailed working of all answers and utilise appropriate technical notation and correct techniques.
The ethical and responsible use of generative artificial intelligence (GenAI) tools is authorised in this assessment. See the relevant assessment details in Canvas for specific guidelines.
This assignment is eligible for the 48-hour late submission period and assignment extension.
Assessment: Examination (invigilated)
The use of generative artificial intelligence (GenAI) tools is prohibited during this assessment.
Academic Integrity
Academic integrity is a commitment to undertaking academic work and assessment in a manner that is ethical, fair, honest, respectful and accountable.
The Academic Integrity Policy sets out the range of conduct that can be a failure to maintain the standards of academic integrity. This includes, cheating in exams, plagiarism, self-plagiarism, collusion and contract cheating. It also includes providing fraudulent or altered documentation in support of an academic concession application, for example an assignment extension or a deferred exam.
You are encouraged to make use of QUT’s learning support services, resources and tools to assure the academic integrity of your assessment. This includes the use of text matching software that may be available to assist with self-assessing your academic integrity as part of the assessment submission process.
Breaching QUT’s Academic Integrity Policy or engaging in conduct that may defeat or compromise the purpose of assessment can lead to a finding of student misconduct (Code of Conduct – Student) and result in the imposition of penalties under the Management of Student Misconduct Policy, ranging from a grade reduction to exclusion from QUT.
Resources
There are no set texts for this unit. Unit resource materials will be made available on the unit website.
Risk Assessment Statement
There are no out of the ordinary risks associated with this unit, as all classes will be held in lecture theatres and small group tutorial rooms. Emergency exits and assembly areas will be made apparent to all attending students. You are referred to the University policy on health and safety (http://www.mopp.qut.edu.au/A/A_09_01.jsp)
Standards/Competencies
This unit is designed to support your development of the following standards\competencies.
Engineers Australia Stage 1 Competency Standard for Professional Engineer
1: Knowledge and Skill Base
Relates to: Problem Solving Task, Examination (invigilated)
Relates to: Problem Solving Task, Examination (invigilated)
Relates to: Problem Solving Task, Examination (invigilated)
2: Engineering Application Ability
Relates to: Problem Solving Task, Examination (invigilated)
Relates to: Problem Solving Task
3: Professional and Personal Attributes
Relates to: Problem Solving Task
Course Learning Outcomes
This unit is designed to support your development of the following course/study area learning outcomes.EN01 Bachelor of Engineering (Honours)
- Engage stakeholders professionally and communicate the outcomes of your work effectively to expert and non-expert audiences using appropriate modes.
Relates to: ULO5, Problem Solving Task - Demonstrate coherent knowledge and skills of physical, mathematical, statistical, computer, and information sciences that are fundamental to professional engineering practice.
Relates to: ULO1, ULO2, ULO3, ULO4 - Demonstrate a thorough understanding of one engineering discipline, its research directions, and its application in contemporary professional engineering practice.
Relates to: Problem Solving Task, Examination (invigilated)
EV01 Bachelor of Engineering (Honours)
- Engage stakeholders professionally and communicate the outcomes of your work effectively to expert and non-expert audiences using appropriate modes.
Relates to: Problem Solving Task - Demonstrate a thorough understanding of one engineering discipline, its research directions, and its application in contemporary professional engineering practice.
Relates to: Problem Solving Task, Examination (invigilated)