EGD125 Introductory 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: | EGD125 |
|---|---|
| Antirequisite(s): | MZB125, MXB100 MZB125, MXB100 |
| Equivalent(s): | MAB125, MAB100, MAB120 |
| 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: College 1 2024, Kelvin Grove, Internal
| Unit code: | EGD125 |
|---|---|
| Credit points: | 12 |
| Equivalent: | MAB125, MAB100, MAB120 |
| Anti-requisite: | MZB125, MXB100 |
| Coordinator: | Matt Falk | m.falk@qut.edu.au |
Overview
Professional engineers have a "conceptual understanding of the mathematics, numerical analysis, statistics, and computer and information sciences which underpin the engineering discipline" (Engineers Australia Stage 1 Competency Standard for Professional Engineer). You will learn about elementary functions, their derivatives and integrals, the algebra of complex numbers, and vectors and matrices. Mathematical techniques and problem solving skills are employed in a range of mathematical exercises and contextualised problems, illustrating how these concepts and techniques are used in real-world engineering systems. Mathematical knowledge and skills are essential in all engineering majors.
Learning Outcomes
On successful completion of this unit you will be able to:
- Apply mathematical concepts and ideas relevant to engineering at an introduced level.
- Utilise technical notation and correct techniques to solve mathematical problems relevant to engineering at an introduced level.
- Interpret, translate and solve real world problems relevant to engineering using mathematical methods at an introduced level.
- Communicate effectively in mathematical formats to specialist Engineering audiences at an introduced level.
Content
- Elementary functions including polynomial, trigonometric, logarithmic and exponential functions. Their properties, the principle of composite functions, inverse functions, and the use of functions as representations of data are emphasised.
- Introduction to the processes of differentiation and integration of elementary functions as ways to model simple problems for functions of one variable, including those defined parametrically. Techniques such as implicit differentiation, product and chain rules, integration by substitution, and integration by parts are all employed to solve mathematical and applied problems.
- Introduction to vectors and matrices and arithmetic operations on vectors and matrices (cross products, dot products as well as matrix multiplication and addition), with applications to problems relevant to engineering, including solving systems of linear equations.
- The algebra of complex numbers, of vectors, and of matrices, illustrating how each may be used in representations of systems in real-world applications.
Learning Approaches
This unit takes a blended approach to learning and teaching. You will be provided with both eContent and timetabled activities. eContent will be clearly identified on your course site for you to engage with on a weekly basis before attending classes. eContent includes a combination of videos, readings, and/or exercises designed to enhance your learning experience.
During timetabled activities (for example: workshops, tutorials, practicals), the unit coordinator and/or your tutor will further explore content and you will be provided with opportunities to develop your understanding in a collaborative learning environment.
After your weekly classes, you should continue to engage with unit resources to ensure you consolidate your understanding of unit content. Teaching team members will also be available for consultations to assist you with your learning journey (further details provided on your course site).
Feedback on Learning and Assessment
During tutorials, you will share your formative ideas around problem solving and receive feedback from demonstrators. You are encouraged to view your tutorial group as a learning community and to share and discuss challenges and strategies for learning. You will receive formative feedback by completing tasks during the teaching period. Each assessment submission will be graded against criteria and standards which will be shared with you through Assessment Task Descriptions and Marking Rubrics. Marked assessment will include written feedback from markers against the criteria.
Assessment
Overview
The assessment in this unit is designed to assess your learning against the unit learning outcomes. Quizzes and problem-solving tasks support you to progress in developing your competency in the application of fundamental methods as well as the development of problem-solving skills that will allow you to tackle more complex and open problems in your future career. Consistent practice in mathematical techniques and problem solving will support your success in the summative tasks.
Unit Grading Scheme
7- point scale
Assessment Tasks
Assessment: Quizzes
Online quizzes that include short answer questions with an emphasis on determining level of competency in the use of fundamental mathematical techniques.
Assessment: Problem Solving Tasks
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.
Assessment: Final Exam
A combination of both short answer and long answer questions requiring coherent mathematical solutions.
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
Open-access Textbooks:
- OpenStax College, Precalculus, 2020, CC-BY 4.0 https://openstax.org/details/books/precalculus
- OpenStax College, Calculus Vol. 1, 2020, CC-BY-NC_SA 4.0, https://openstax.org/details/books/calculus-volume-1
Other resources:
- Rattan, K.S., Klingbeil, N. W.(2015). Introductory mathematics for engineering applications. John Wiley & Sons.
- Mallet, D. G, Pettet, G.J. & Farr, A.C. (2012). Introductory algebra and calculus. Pearson.
- Bird J. (2017). Engineering mathematics (5th ed.). Elsevier.
There are numerous suitable reference texts for this unit, many of which can be located in the library. You should also make use of suitable online resources such as video instructions for specific problems. Additional resources, will be made available via the unit course site.
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).
Course Learning Outcomes
This unit is designed to support your development of the following course/study area learning outcomes.EN02 Diploma in Engineering
- Engage stakeholders professionally and communicate the outcomes of your work effectively to expert and non-expert audiences using appropriate modes.
Relates to: ULO4, Problem Solving Tasks, Final Exam - Demonstrate foundational knowledge and skills of physical, mathematical, statistical, computer, and information sciences that are fundamental to professional engineering practice.
Relates to: ULO1, ULO2, ULO3, Quizzes, Problem Solving Tasks, Final Exam
Unit Outline: College 2 2024, Kelvin Grove, Internal
| Unit code: | EGD125 |
|---|---|
| Credit points: | 12 |
| Equivalent: | MAB125, MAB100, MAB120 |
| Anti-requisite: | MZB125, MXB100 |
| Coordinator: | Matt Falk | m.falk@qut.edu.au |
Overview
Professional engineers have a "conceptual understanding of the mathematics, numerical analysis, statistics, and computer and information sciences which underpin the engineering discipline" (Engineers Australia Stage 1 Competency Standard for Professional Engineer). You will learn about elementary functions, their derivatives and integrals, the algebra of complex numbers, and vectors and matrices. Mathematical techniques and problem solving skills are employed in a range of mathematical exercises and contextualised problems, illustrating how these concepts and techniques are used in real-world engineering systems. Mathematical knowledge and skills are essential in all engineering majors.
Learning Outcomes
On successful completion of this unit you will be able to:
- Apply mathematical concepts and ideas relevant to engineering at an introduced level.
- Utilise technical notation and correct techniques to solve mathematical problems relevant to engineering at an introduced level.
- Interpret, translate and solve real world problems relevant to engineering using mathematical methods at an introduced level.
- Communicate effectively in mathematical formats to specialist Engineering audiences at an introduced level.
Content
- Elementary functions including polynomial, trigonometric, logarithmic and exponential functions. Their properties, the principle of composite functions, inverse functions, and the use of functions as representations of data are emphasised.
- Introduction to the processes of differentiation and integration of elementary functions as ways to model simple problems for functions of one variable, including those defined parametrically. Techniques such as implicit differentiation, product and chain rules, integration by substitution, and integration by parts are all employed to solve mathematical and applied problems.
- Introduction to vectors and matrices and arithmetic operations on vectors and matrices (cross products, dot products as well as matrix multiplication and addition), with applications to problems relevant to engineering, including solving systems of linear equations.
- The algebra of complex numbers, of vectors, and of matrices, illustrating how each may be used in representations of systems in real-world applications.
Learning Approaches
This unit takes a blended approach to learning and teaching. You will be provided with both eContent and timetabled activities. eContent will be clearly identified on your course site for you to engage with on a weekly basis before attending classes. eContent includes a combination of videos, readings, and/or exercises designed to enhance your learning experience.
During timetabled activities (for example: workshops, tutorials, practicals), the unit coordinator and/or your tutor will further explore content and you will be provided with opportunities to develop your understanding in a collaborative learning environment.
After your weekly classes, you should continue to engage with unit resources to ensure you consolidate your understanding of unit content. Teaching team members will also be available for consultations to assist you with your learning journey (further details provided on your course site).
Feedback on Learning and Assessment
During tutorials, you will share your formative ideas around problem solving and receive feedback from demonstrators. You are encouraged to view your tutorial group as a learning community and to share and discuss challenges and strategies for learning. You will receive formative feedback by completing tasks during the teaching period. Each assessment submission will be graded against criteria and standards which will be shared with you through Assessment Task Descriptions and Marking Rubrics. Marked assessment will include written feedback from markers against the criteria.
Assessment
Overview
The assessment in this unit is designed to assess your learning against the unit learning outcomes. Quizzes and problem-solving tasks support you to progress in developing your competency in the application of fundamental methods as well as the development of problem-solving skills that will allow you to tackle more complex and open problems in your future career. Consistent practice in mathematical techniques and problem solving will support your success in the summative tasks.
Unit Grading Scheme
7- point scale
Assessment Tasks
Assessment: Quizzes
Online quizzes that include short answer questions with an emphasis on determining level of competency in the use of fundamental mathematical techniques.
Assessment: Problem Solving Tasks
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.
Assessment: Final Exam
A combination of both short answer and long answer questions requiring coherent mathematical solutions.
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
Open-access Textbooks:
- OpenStax College, Precalculus, 2020, CC-BY 4.0 https://openstax.org/details/books/precalculus
- OpenStax College, Calculus Vol. 1, 2020, CC-BY-NC_SA 4.0, https://openstax.org/details/books/calculus-volume-1
Other resources:
- Rattan, K.S., Klingbeil, N. W.(2015). Introductory mathematics for engineering applications. John Wiley & Sons.
- Mallet, D. G, Pettet, G.J. & Farr, A.C. (2012). Introductory algebra and calculus. Pearson.
- Bird J. (2017). Engineering mathematics (5th ed.). Elsevier.
There are numerous suitable reference texts for this unit, many of which can be located in the library. You should also make use of suitable online resources such as video instructions for specific problems. Additional resources, will be made available via the unit course site.
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).
Course Learning Outcomes
This unit is designed to support your development of the following course/study area learning outcomes.EN02 Diploma in Engineering
- Engage stakeholders professionally and communicate the outcomes of your work effectively to expert and non-expert audiences using appropriate modes.
Relates to: ULO4, Problem Solving Tasks, Final Exam - Demonstrate foundational knowledge and skills of physical, mathematical, statistical, computer, and information sciences that are fundamental to professional engineering practice.
Relates to: ULO1, ULO2, ULO3, Quizzes, Problem Solving Tasks, Final Exam
Unit Outline: College Summer 2024, Kelvin Grove, Internal
| Unit code: | EGD125 |
|---|---|
| Credit points: | 12 |
| Equivalent: | MAB125, MAB100, MAB120 |
| Anti-requisite: | MZB125, MXB100 |
Overview
Professional engineers have a "conceptual understanding of the mathematics, numerical analysis, statistics, and computer and information sciences which underpin the engineering discipline" (Engineers Australia Stage 1 Competency Standard for Professional Engineer). You will learn about elementary functions, their derivatives and integrals, the algebra of complex numbers, and vectors and matrices. Mathematical techniques and problem solving skills are employed in a range of mathematical exercises and contextualised problems, illustrating how these concepts and techniques are used in real-world engineering systems. Mathematical knowledge and skills are essential in all engineering majors.
Learning Outcomes
On successful completion of this unit you will be able to:
- Apply mathematical concepts and ideas relevant to engineering at an introduced level.
- Utilise technical notation and correct techniques to solve mathematical problems relevant to engineering at an introduced level.
- Interpret, translate and solve real world problems relevant to engineering using mathematical methods at an introduced level.
- Communicate effectively in mathematical formats to specialist Engineering audiences at an introduced level.
Content
- Elementary functions including polynomial, trigonometric, logarithmic and exponential functions. Their properties, the principle of composite functions, inverse functions, and the use of functions as representations of data are emphasised.
- Introduction to the processes of differentiation and integration of elementary functions as ways to model simple problems for functions of one variable, including those defined parametrically. Techniques such as implicit differentiation, product and chain rules, integration by substitution, and integration by parts are all employed to solve mathematical and applied problems.
- Introduction to vectors and matrices and arithmetic operations on vectors and matrices (cross products, dot products as well as matrix multiplication and addition), with applications to problems relevant to engineering, including solving systems of linear equations.
- The algebra of complex numbers, of vectors, and of matrices, illustrating how each may be used in representations of systems in real-world applications.
Learning Approaches
This unit takes a blended approach to learning and teaching. You will be provided with both eContent and timetabled activities. eContent will be clearly identified on your course site for you to engage with on a weekly basis before attending classes. eContent includes a combination of videos, readings, and/or exercises designed to enhance your learning experience.
During timetabled activities (for example: workshops, tutorials, practicals), the unit coordinator and/or your tutor will further explore content and you will be provided with opportunities to develop your understanding in a collaborative learning environment.
After your weekly classes, you should continue to engage with unit resources to ensure you consolidate your understanding of unit content. Teaching team members will also be available for consultations to assist you with your learning journey (further details provided on your course site).
Feedback on Learning and Assessment
During tutorials, you will share your formative ideas around problem solving and receive feedback from demonstrators. You are encouraged to view your tutorial group as a learning community and to share and discuss challenges and strategies for learning. You will receive formative feedback by completing tasks during the teaching period. Each assessment submission will be graded against criteria and standards which will be shared with you through Assessment Task Descriptions and Marking Rubrics. Marked assessment will include written feedback from markers against the criteria.
Assessment
Overview
The assessment in this unit is designed to assess your learning against the unit learning outcomes. Quizzes and problem-solving tasks support you to progress in developing your competency in the application of fundamental methods as well as the development of problem-solving skills that will allow you to tackle more complex and open problems in your future career. Consistent practice in mathematical techniques and problem solving will support your success in the summative tasks.
Unit Grading Scheme
7- point scale
Assessment Tasks
Assessment: Quizzes
Online quizzes that include short answer questions with an emphasis on determining level of competency in the use of fundamental mathematical techniques.
Assessment: Problem Solving Tasks
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.
Assessment: Final Exam
A combination of both short answer and long answer questions requiring coherent mathematical solutions.
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
Open-access Textbooks:
- OpenStax College, Precalculus, 2020, CC-BY 4.0 https://openstax.org/details/books/precalculus
- OpenStax College, Calculus Vol. 1, 2020, CC-BY-NC_SA 4.0, https://openstax.org/details/books/calculus-volume-1
Other resources:
- Rattan, K.S., Klingbeil, N. W.(2015). Introductory mathematics for engineering applications. John Wiley & Sons.
- Mallet, D. G, Pettet, G.J. & Farr, A.C. (2012). Introductory algebra and calculus. Pearson.
- Bird J. (2017). Engineering mathematics (5th ed.). Elsevier.
There are numerous suitable reference texts for this unit, many of which can be located in the library. You should also make use of suitable online resources such as video instructions for specific problems. Additional resources, will be made available via the unit course site.
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).
Course Learning Outcomes
This unit is designed to support your development of the following course/study area learning outcomes.EN02 Diploma in Engineering
- Engage stakeholders professionally and communicate the outcomes of your work effectively to expert and non-expert audiences using appropriate modes.
Relates to: ULO4, Problem Solving Tasks, Final Exam - Demonstrate foundational knowledge and skills of physical, mathematical, statistical, computer, and information sciences that are fundamental to professional engineering practice.
Relates to: ULO1, ULO2, ULO3, Quizzes, Problem Solving Tasks, Final Exam