MZB127 Engineering Mathematics and Statistics
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: | MZB127 |
|---|---|
| Prerequisite(s): | MZB125 or EGD125 or MXB161 |
| Equivalent(s): | EGD126, MZB126 |
| Credit points: | 12 |
| Timetable | Details in HiQ, if available |
| Availabilities |
|
| CSP student contribution | $555 |
| Domestic tuition unit fee | $3,324 |
| International unit fee | $4,296 |
Unit Outline: Semester 1 2024, Gardens Point, Internal
| Unit code: | MZB127 |
|---|---|
| Credit points: | 12 |
| Pre-requisite: | MZB125 or EGD125 or MXB161 |
| Equivalent: | EGD126 and MZB126 |
| Coordinators: | Matthew Adams | mp.adams@qut.edu.au Michael Dallaston | michael.dallaston@qut.edu.au |
Overview
MZB127 teaches foundational mathematics and statistics for engineers, following what students learn in either MZB125 or MXB161. Students will learn two main topics: applied mathematics for engineering, including multivariable calculus, ordinary differential equations and linear algebra; and statistics, including probability, likelihood, and regression. Providing problems that emphasise critical thinking, analysis, interpretation, and exposition in applications across multiple disciplines in engineering ensures that students learn engineering mathematics in a real-world context. This approach to real-world learning gives students the necessary problem-solving skills to engage in their chosen engineering discipline.
Learning Outcomes
On successful completion of this unit you will be able to:
- Demonstrate knowledge of mathematical and statistical concepts and ideas relevant to Engineering at an introduced level.
- Utilise technical notation and correct techniques when solving mathematical and statistical problems relevant to Engineering at an introduced level.
- Interpret, translate and solve real world problems relevant to Engineering using mathematical and statistical methods at an introduced level.
- Demonstrate correct application of computational tools to solve mathematical and statistical problems relevant to Engineering at an introduced level.
- Communicate effectively in mathematical formats to specialist Engineering audiences at an introduced level.
Content
The content will cover two themes, delivered and motivated via the posing and solving of engineering-related problems.
Mathematics: Multivariable functions, partial derivatives, multiple integrals. First-order linear and non-linear, and second-order linear constant coefficient, ordinary differential equations. Systems of differential equations.
Statistics: Concepts and definitions of probability, distributions, inference, likelihood functions and maximum likelihood estimation, linear and logistic regression.
Relevant computational tools for the above topics will also be introduced.
Learning Approaches
In this unit you can expect to experience the following timetabled activities:
- Live lectures from mathematics academics, where theory and concepts in fundamental engineering mathematics will be introduced and/or consolidated.
- Workshops, led by demonstrators that will be a combination of discussion with the teaching staff and peers, and working through small mathematical problems and larger real-world problems. You will be expected to express solutions both individually and in groups, supporting you to develop creativity in problem-solving, critical evaluative skills, and intellectual debate.
To complement timetabled activities, you can expect to be provided with learning resources including videos and readings on a unit Canvas site that you can access flexibly to complete your learning in this unit. Success in this unit will require you to manage your time to ensure you have focused time each week (beyond timetabled activities).
At the beginning of the unit, you will be made aware of the ways in which you can ask questions or seek clarification from the unit coordinator and teaching staff.
You are expected to:
- Engage with timetabled activities on campus and ask questions.
- Manage your time to engage with online resources outside of timetabled activities, particularly in preparation for interactive lectures. These will be available on the unit Canvas site. You will receive regular email announcements regarding release of these resources.
- Work on a wide variety of exercises and problems in your own time to consolidate material from timetabled activities.
- Engage with your peers in a learning community to practise problem solving and then work independently to complete your assessment tasks.
- Prepare for timetabled classes and activities and follow up on any work not completed.
- Complete assessment tasks by working consistently across the semester and meeting the due dates that are published via the unit Canvas site.
Feedback on Learning and Assessment
Formative feedback will be provided throughout discussion with peers and teaching staff in workshop sessions and online channels of communication. Review of submitted assessment items will provide both summative and formative feedback.
Assessment
Overview
The assessment for this unit is designed to measure your acquisition of key mathematical skills as well as your capacity to implement them to problems of an engineering nature.
Unit Grading Scheme
7- point scale
Assessment Tasks
Assessment: Problem solving task
Extended, contextualised problems that require the synthesis of more than one mathematical technique for their solution, as well as associated computational tools. You will be expected to show the detailed working of all answers and utilise appropriate technical notation and correct techniques.
This assignment is eligible for the 48-hour late submission period and assignment extensions.
Assessment: Examination (invigilated)
Invigilated assessment focusing upon mathematical methods and problem solving.
Academic Integrity
Students are expected to engage in learning and assessment at QUT with honesty, transparency and fairness. Maintaining academic integrity means upholding these principles and demonstrating valuable professional capabilities based on ethical foundations.
Failure to maintain academic integrity can take many forms. It includes cheating in examinations, plagiarism, self-plagiarism, collusion, and submitting an assessment item completed by another person (e.g. contract cheating). It can also include providing your assessment to another entity, such as to a person or website.
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.
Further details of QUT’s approach to academic integrity are outlined in the Academic integrity policy and the Student Code of Conduct. Breaching QUT’s Academic integrity policy is regarded as student misconduct and can lead to the imposition of penalties ranging from a grade reduction to exclusion from QUT.
Resources
There is no required text for this unit. Both of these references are available free and online through the QUT library.
Resource Materials
Reference book(s)
Kreyszig, E. et al. (2010) Advanced Engineering Mathematics, 10th Edition. Wiley.
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)
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, Examination (invigilated) - 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, Problem solving task, Examination (invigilated)
EN29 Bachelor of Engineering Studies
- Evidence of engaging stakeholders professionally and communicating the outcomes of your work effectively to expert and non-expert audiences.
Relates to: ULO5, Problem solving task, Examination (invigilated) - Evidence of demonstrating coherent knowledge and skills of physical, mathematical, statistical, computer and information science.
Relates to: ULO1, ULO2, ULO3, ULO4, 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, Examination (invigilated) - Demonstrate coherent knowledge and skills of physical, mathematical, statistical, computer, and information sciences that are fundamental to professional engineering practice.
Relates to: Problem solving task, Examination (invigilated)
Unit Outline: Semester 2 2024, Gardens Point, Internal
| Unit code: | MZB127 |
|---|---|
| Credit points: | 12 |
| Pre-requisite: | MZB125 or EGD125 or MXB161 |
| Equivalent: | EGD126 and MZB126 |
| Coordinators: | Megan Farquhar | me.farquhar@qut.edu.au |
Overview
MZB127 teaches foundational mathematics and statistics for engineers, following what students learn in either MZB125 or MXB161. Students will learn two main topics: applied mathematics for engineering, including multivariable calculus, ordinary differential equations and linear algebra; and statistics, including probability, likelihood, and regression. Providing problems that emphasise critical thinking, analysis, interpretation, and exposition in applications across multiple disciplines in engineering ensures that students learn engineering mathematics in a real-world context. This approach to real-world learning gives students the necessary problem-solving skills to engage in their chosen engineering discipline.
Learning Outcomes
On successful completion of this unit you will be able to:
- Demonstrate knowledge of mathematical and statistical concepts and ideas relevant to Engineering at an introduced level.
- Utilise technical notation and correct techniques when solving mathematical and statistical problems relevant to Engineering at an introduced level.
- Interpret, translate and solve real world problems relevant to Engineering using mathematical and statistical methods at an introduced level.
- Demonstrate correct application of computational tools to solve mathematical and statistical problems relevant to Engineering at an introduced level.
- Communicate effectively in mathematical formats to specialist Engineering audiences at an introduced level.
Content
The content will cover two themes, delivered and motivated via the posing and solving of engineering-related problems.
Mathematics: Multivariable functions, partial derivatives, multiple integrals. First-order linear and non-linear, and second-order linear constant coefficient, ordinary differential equations. Systems of differential equations.
Statistics: Concepts and definitions of probability, distributions, inference, likelihood functions and maximum likelihood estimation, linear and logistic regression.
Relevant computational tools for the above topics will also be introduced.
Learning Approaches
In this unit you can expect to experience the following timetabled activities:
- Live lectures from mathematics academics, where theory and concepts in fundamental engineering mathematics will be introduced and/or consolidated.
- Workshops, led by demonstrators that will be a combination of discussion with the teaching staff and peers, and working through small mathematical problems and larger real-world problems. You will be expected to express solutions both individually and in groups, supporting you to develop creativity in problem-solving, critical evaluative skills, and intellectual debate.
To complement timetabled activities, you can expect to be provided with learning resources including videos and readings on a unit Canvas site that you can access flexibly to complete your learning in this unit. Success in this unit will require you to manage your time to ensure you have focused time each week (beyond timetabled activities).
At the beginning of the unit, you will be made aware of the ways in which you can ask questions or seek clarification from the unit coordinator and teaching staff.
You are expected to:
- Engage with timetabled activities on campus and ask questions.
- Manage your time to engage with online resources outside of timetabled activities, particularly in preparation for interactive lectures. These will be available on the unit Canvas site. You will receive regular email announcements regarding release of these resources.
- Work on a wide variety of exercises and problems in your own time to consolidate material from timetabled activities.
- Engage with your peers in a learning community to practise problem solving and then work independently to complete your assessment tasks.
- Prepare for timetabled classes and activities and follow up on any work not completed.
- Complete assessment tasks by working consistently across the semester and meeting the due dates that are published via the unit Canvas site.
Feedback on Learning and Assessment
Formative feedback will be provided throughout discussion with peers and teaching staff in workshop sessions and online channels of communication. Review of submitted assessment items will provide both summative and formative feedback.
Assessment
Overview
The assessment for this unit is designed to measure your acquisition of key mathematical skills as well as your capacity to implement them to problems of an engineering nature.
Unit Grading Scheme
7- point scale
Assessment Tasks
Assessment: Problem solving task
Extended, contextualised problems that require the synthesis of more than one mathematical technique for their solution, as well as associated computational tools. You will be expected to show the detailed working of all answers and utilise appropriate technical notation and correct techniques.
This assignment is eligible for the 48-hour late submission period and assignment extensions.
Assessment: Examination (invigilated)
Invigilated assessment focusing upon mathematical methods and problem solving.
Academic Integrity
Students are expected to engage in learning and assessment at QUT with honesty, transparency and fairness. Maintaining academic integrity means upholding these principles and demonstrating valuable professional capabilities based on ethical foundations.
Failure to maintain academic integrity can take many forms. It includes cheating in examinations, plagiarism, self-plagiarism, collusion, and submitting an assessment item completed by another person (e.g. contract cheating). It can also include providing your assessment to another entity, such as to a person or website.
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.
Further details of QUT’s approach to academic integrity are outlined in the Academic integrity policy and the Student Code of Conduct. Breaching QUT’s Academic integrity policy is regarded as student misconduct and can lead to the imposition of penalties ranging from a grade reduction to exclusion from QUT.
Resources
There is no required text for this unit. Both of these references are available free and online through the QUT library.
Resource Materials
Reference book(s)
Kreyszig, E. et al. (2010) Advanced Engineering Mathematics, 10th Edition. Wiley.
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)
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, Examination (invigilated) - 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, Problem solving task, Examination (invigilated)
EN29 Bachelor of Engineering Studies
- Evidence of engaging stakeholders professionally and communicating the outcomes of your work effectively to expert and non-expert audiences.
Relates to: ULO5, Problem solving task, Examination (invigilated) - Evidence of demonstrating coherent knowledge and skills of physical, mathematical, statistical, computer and information science.
Relates to: ULO1, ULO2, ULO3, ULO4, 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, Examination (invigilated) - Demonstrate coherent knowledge and skills of physical, mathematical, statistical, computer, and information sciences that are fundamental to professional engineering practice.
Relates to: Problem solving task, Examination (invigilated)