EGD105 Modelling with Introductory Calculus
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: | EGD105 |
|---|---|
| Equivalent(s): | MAB105, MZB101 |
| 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: | EGD105 |
|---|---|
| Credit points: | 12 |
| Equivalent: | MZB101 |
| Equivalent: | MAB105 |
| Coordinator: | Matt Falk | m.falk@qut.edu.au |
Overview
This is an introductory unit covering the basic mathematical theory of functions and graphs, along with the foundational concepts and techniques of differential and integral calculus. The unit also explores a wide variety of calculus applications, and introduces the basic mathematical modelling skills relevant to a wide variety of scientific fields. The ability to express scientific problems in mathematical language, and to apply calculus techniques in the analysis of these problems, is essential to science students across all disciplines. This foundational mathematical unit prepares students for EGD125 Introductory Engineering Mathematics.
Learning Outcomes
On successful completion of this unit you will be able to:
- Describe concepts and their inter-connections with one another.
- Select and execute techniques or procedures related to the concepts, with and without the use of suitable digital technology.
- Apply mathematical knowledge to the solving of problems, including the analysis of a problem scenario and its translation into a suitable mathematical model, the manipulation of the mathematical model to create a mathematical solution and the interpretation of the mathematical solution in terms of the original problem scenario.
- Reflectively discuss and compare the reasonableness of solutions and limitations of the mathematical models used.
- Represent mathematical concepts, techniques and procedures using the conventions of mathematics and be able to communicate these ideas and their justification using spoken and written English language in a variety of media.
Content
- Properties of number systems Basic algebra (i.e., factorisation, simplification, solving equations)
- Coordinate geometry (Cartesian)
- Graphs and equations of linear, quadratic and cubic functions
- Other non-linear functions, their graphs and their equations (e.g., exponential, logarithmic, trigonometric)
- Foundations of calculus applied to linear, quadratic and cubic functions, including the first principles of differentiation, differentiation rules, and integration.
- Techniques or strategies for applying these concepts to real-world scenarios will be developed.
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 participate in discussions of mathematics content and receive formative feedback. Model solutions for assessment items will be provided throughout the teaching period. Each assessment submission will be marked against criteria and standards which will be shared with you at the beginning of semester through Assessment Task Descriptions and Marking Rubrics. Marked assessment will include feedback from markers against the criteria.
Assessment
Overview
The assessment items in this unit are designed to determine your level of competency in meeting the unit learning 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 tasks
Throughout the unit, you will complete a series of problem solving tasks directly related to the unit's content and learning outcomes. These tasks will be completed and submitted progressively during the semester (approximately fortnightly).
This is an assignment for the purposes of an extension.
Assessment: Final Exam
You will complete an examination that covers the full breadth of unit content. The examination will include questions related to the mathematical concepts and procedures as well as their application in problem scenarios. The use of suitable technology will be permitted.
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 are no set texts for this unit. Learning resources will be provided on the unit's course site.
There are many reference texts for this unit, many of which can be located in the library. References to these will be provided online and/or discussed in classes throughout the teaching period.
Risk Assessment Statement
There are no out of the ordinary risks associated with the general conduct of this unit. Workplace health and safety protocols in relation to computer use will apply.
Course Learning Outcomes
This unit is designed to support your development of the following course/study area learning outcomes.EN02 Diploma in Engineering
- Manage projects to solve complex engineering problems, using appropriate information, engineering methods, and technologies.
Relates to: 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, ULO4, ULO5, Problem solving tasks, Final Exam
Unit Outline: College 2 2024, Kelvin Grove, Internal
| Unit code: | EGD105 |
|---|---|
| Credit points: | 12 |
| Equivalent: | MZB101 |
| Equivalent: | MAB105 |
| Coordinator: | Matt Falk | m.falk@qut.edu.au |
Overview
This is an introductory unit covering the basic mathematical theory of functions and graphs, along with the foundational concepts and techniques of differential and integral calculus. The unit also explores a wide variety of calculus applications, and introduces the basic mathematical modelling skills relevant to a wide variety of scientific fields. The ability to express scientific problems in mathematical language, and to apply calculus techniques in the analysis of these problems, is essential to science students across all disciplines. This foundational mathematical unit prepares students for EGD125 Introductory Engineering Mathematics.
Learning Outcomes
On successful completion of this unit you will be able to:
- Describe concepts and their inter-connections with one another.
- Select and execute techniques or procedures related to the concepts, with and without the use of suitable digital technology.
- Apply mathematical knowledge to the solving of problems, including the analysis of a problem scenario and its translation into a suitable mathematical model, the manipulation of the mathematical model to create a mathematical solution and the interpretation of the mathematical solution in terms of the original problem scenario.
- Reflectively discuss and compare the reasonableness of solutions and limitations of the mathematical models used.
- Represent mathematical concepts, techniques and procedures using the conventions of mathematics and be able to communicate these ideas and their justification using spoken and written English language in a variety of media.
Content
- Properties of number systems Basic algebra (i.e., factorisation, simplification, solving equations)
- Coordinate geometry (Cartesian)
- Graphs and equations of linear, quadratic and cubic functions
- Other non-linear functions, their graphs and their equations (e.g., exponential, logarithmic, trigonometric)
- Foundations of calculus applied to linear, quadratic and cubic functions, including the first principles of differentiation, differentiation rules, and integration.
- Techniques or strategies for applying these concepts to real-world scenarios will be developed.
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 participate in discussions of mathematics content and receive formative feedback. Model solutions for assessment items will be provided throughout the teaching period. Each assessment submission will be marked against criteria and standards which will be shared with you at the beginning of semester through Assessment Task Descriptions and Marking Rubrics. Marked assessment will include feedback from markers against the criteria.
Assessment
Overview
The assessment items in this unit are designed to determine your level of competency in meeting the unit learning 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 tasks
Throughout the unit, you will complete a series of problem solving tasks directly related to the unit's content and learning outcomes. These tasks will be completed and submitted progressively during the semester (approximately fortnightly).
This is an assignment for the purposes of an extension.
Assessment: Final Exam
You will complete an examination that covers the full breadth of unit content. The examination will include questions related to the mathematical concepts and procedures as well as their application in problem scenarios. The use of suitable technology will be permitted.
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 are no set texts for this unit. Learning resources will be provided on the unit's course site.
There are many reference texts for this unit, many of which can be located in the library. References to these will be provided online and/or discussed in classes throughout the teaching period.
Risk Assessment Statement
There are no out of the ordinary risks associated with the general conduct of this unit. Workplace health and safety protocols in relation to computer use will apply.
Course Learning Outcomes
This unit is designed to support your development of the following course/study area learning outcomes.EN02 Diploma in Engineering
- Manage projects to solve complex engineering problems, using appropriate information, engineering methods, and technologies.
Relates to: 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, ULO4, ULO5, Problem solving tasks, Final Exam
Unit Outline: College Summer 2024, Kelvin Grove, Internal
| Unit code: | EGD105 |
|---|---|
| Credit points: | 12 |
| Equivalent: | MAB105 |
| Equivalent: | MZB101 |
Overview
This is an introductory unit covering the basic mathematical theory of functions and graphs, along with the foundational concepts and techniques of differential and integral calculus. The unit also explores a wide variety of calculus applications, and introduces the basic mathematical modelling skills relevant to a wide variety of scientific fields. The ability to express scientific problems in mathematical language, and to apply calculus techniques in the analysis of these problems, is essential to science students across all disciplines. This foundational mathematical unit prepares students for EGD125 Introductory Engineering Mathematics.
Learning Outcomes
On successful completion of this unit you will be able to:
- Describe concepts and their inter-connections with one another.
- Select and execute techniques or procedures related to the concepts, with and without the use of suitable digital technology.
- Apply mathematical knowledge to the solving of problems, including the analysis of a problem scenario and its translation into a suitable mathematical model, the manipulation of the mathematical model to create a mathematical solution and the interpretation of the mathematical solution in terms of the original problem scenario.
- Reflectively discuss and compare the reasonableness of solutions and limitations of the mathematical models used.
- Represent mathematical concepts, techniques and procedures using the conventions of mathematics and be able to communicate these ideas and their justification using spoken and written English language in a variety of media.
Content
- Properties of number systems Basic algebra (i.e., factorisation, simplification, solving equations)
- Coordinate geometry (Cartesian)
- Graphs and equations of linear, quadratic and cubic functions
- Other non-linear functions, their graphs and their equations (e.g., exponential, logarithmic, trigonometric)
- Foundations of calculus applied to linear, quadratic and cubic functions, including the first principles of differentiation, differentiation rules, and integration.
- Techniques or strategies for applying these concepts to real-world scenarios will be developed.
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 participate in discussions of mathematics content and receive formative feedback. Model solutions for assessment items will be provided throughout the teaching period. Each assessment submission will be marked against criteria and standards which will be shared with you at the beginning of semester through Assessment Task Descriptions and Marking Rubrics. Marked assessment will include feedback from markers against the criteria.
Assessment
Overview
The assessment items in this unit are designed to determine your level of competency in meeting the unit learning 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 tasks
Throughout the unit, you will complete a series of problem solving tasks directly related to the unit's content and learning outcomes. These tasks will be completed and submitted progressively during the semester (approximately fortnightly).
This is an assignment for the purposes of an extension.
Assessment: Final Exam
You will complete an examination that covers the full breadth of unit content. The examination will include questions related to the mathematical concepts and procedures as well as their application in problem scenarios. The use of suitable technology will be permitted.
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 are no set texts for this unit. Learning resources will be provided on the unit's course site.
There are many reference texts for this unit, many of which can be located in the library. References to these will be provided online and/or discussed in classes throughout the teaching period.
Risk Assessment Statement
There are no out of the ordinary risks associated with the general conduct of this unit. Workplace health and safety protocols in relation to computer use will apply.
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 tasks, Final Exam
Course Learning Outcomes
This unit is designed to support your development of the following course/study area learning outcomes.EN02 Diploma in Engineering
- Manage projects to solve complex engineering problems, using appropriate information, engineering methods, and technologies.
Relates to: 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, ULO4, ULO5, Problem solving tasks, Final Exam