MZB105 Introduction to 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: | MZB105 |
|---|---|
| Antirequisite(s): | MZB125,MXB100 |
| Credit points: | 6 |
| Timetable | Details in HiQ, if available |
| Availabilities |
|
| CSP student contribution | $289 |
| Domestic tuition unit fee | $1,764 |
| International unit fee | $2,316 |
Unit Outline: Semester 1 - 6 Week B 2025, Gardens Point, Internal
| Unit code: | MZB105 |
|---|---|
| Credit points: | 6 |
| Assumed Knowledge: | Sound achievement in Senior Mathematical Methods (Mathematics B) (or equivalent) is assumed knowledge. |
| Anti-requisite: | MXB100, MZB125 |
| Coordinators: | Matt Begun | m.begun@qut.edu.au |
Overview
This unit introduces students to foundational topics in differential and integral calculus, as well as the algebra and arithmetic of complex numbers. The ability to apply these concepts and techniques, and express real-world problems in mathematical language, is essential in quantitative fields such as science, business, and technology. This is an introductory unit, which attempts to establish foundational skills that you will extend in subsequent discipline-specific units. This unit is particularly intended for students whose mathematics preparation does not include Queensland Senior Specialist Mathematics (Mathematics C) or an equivalent.
Learning Outcomes
On successful completion of this unit you will be able to:
- Recall foundational calculus and complex algebra concepts, and translate them to new scientific contexts
- Utilise correct notation and techniques when solving mathematical problems.
- Interpret, translate and solve real world problems using mathematical methods.
Content
The topics covered in this unit are:
- Elementary functions (including trigonometric, logarithmic and exponential functions);
- Differential Calculus, including the chain and product rules, implicit differentiation;
- Integral Calculus, including integration by substitution/integration by parts;
- The arithmetic and algebra of complex numbers.
Learning Approaches
As a first year unit your learning in this unit will be carefully scaffolded to support you to develop a solid understanding of the fundamental concepts relating to differential and integral calculus. In this unit, you will learn by engaging in a combination of the following activities:
- Weekly lectures
- Weekly workshops
- Online resources such as video lectures
The material presented in these activities will be context-based, utilising examples from a range of real-world applications and purely mathematical scenarios. The emphasis will be on learning by doing, learning in groups and as individuals, written and oral communication, and developing skills and attitudes to promote life-long learning.
You are expected to participate in any lecture/workshop session times allocated, but also engage in your own private study. That is, you are expected to consolidate the material presented during class by working a wide variety of exercises, problems and online learning activities in your own time.
Additional learning support may be obtained from drop-in and/or dedicated mathematics support sessions run by the Student Success Group.
You can expect to spend between 10 - 15 hours per week on average involved in preparing for and attending all scheduled classes, completing assessment tasks, and undertaking your own independent study to consolidate your learning.
Feedback on Learning and Assessment
Informal feedback on examples and exercises will be provided by teaching staff and peers via class and peer discussion in workshops and through the online unit communication channel. Formal feedback will be provided by written comments and marks on assessment pieces.
Assessment
Overview
The assessment items in this unit are designed to determine and provide feedback on 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
This Problem Solving Task will comprise a small number of written mathematical exercises that must be completed by students and submitted online. Effective mathematical communication will form part of the assessment criteria.
Assessment: Final Exam
A final in-person invigilated test consisting of a combination of multiple choice and short answer questions, to take place in a timetabled session at the end of the teaching period. The multiple choice and short answer questions will be of a similar nature to those covered in workshop activities.
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.
Requirements to Study
Requirements
Nil
Costs
There are no out of the ordinary costs associated with this unit.
Resources
There are no prescribed texts for this unit. All learning materials to support your learning in this unit will be provided in the Canvas unit site. Suggested references for further independent study are listed below.
Resource Materials
Reference book(s)
Anton, Bivens and Davis. Calculus: Early Transcendentals, 9th Edition. Wiley.
Mallet DG, Pettet GJ & Farr AC. Introductory Algebra and Calculus. 2012. Pearson.
Risk Assessment Statement
There are no out of the ordinary risks associated with this unit.
Course Learning Outcomes
This unit is designed to support your development of the following course/study area learning outcomes.ST01 Bachelor of Science
- Develop a broad, multidisciplinary understanding of science and a specialised, in-depth knowledge of at least one discipline.
Relates to: ULO1, ULO2, Problem Solving Task, Final Exam - Use higher order thinking skills to design, plan, and conduct investigations and evaluate data to address scientific questions and challenges.
Relates to: ULO3, Problem Solving Task - Develop and demonstrate key competencies in scientific practices and relevant technologies.
Relates to: ULO3, Problem Solving Task - Communicate scientific findings, concepts and evidence-based reasoning to diverse audiences using a variety of methods.
Relates to: ULO2, Problem Solving Task, Final Exam
SV02 Bachelor of Science
- Develop a broad, multidisciplinary understanding of science and a specialised, in-depth knowledge of at least one discipline.
Relates to: ULO1, ULO2, Problem Solving Task, Final Exam - Use higher order thinking skills to design, plan, and conduct investigations and evaluate data to address scientific questions and challenges.
Relates to: ULO3, Problem Solving Task - Develop and demonstrate key competencies in scientific practices and relevant technologies.
Relates to: ULO3, Problem Solving Task - Communicate scientific findings, concepts and evidence-based reasoning to diverse audiences using a variety of methods.
Relates to: ULO2, Problem Solving Task, Final Exam
Unit Outline: Semester 2 - 6 Week D 2025, Gardens Point, Internal
| Unit code: | MZB105 |
|---|---|
| Credit points: | 6 |
| Assumed Knowledge: | Sound achievement in Senior Mathematical Methods (Mathematics B) (or equivalent) is assumed knowledge. |
| Anti-requisite: | MXB100, MZB125 |
| Coordinators: | Hilary Hunt | hilary.hunt@qut.edu.au |
Overview
This unit introduces students to foundational topics in differential and integral calculus, as well as the algebra and arithmetic of complex numbers. The ability to apply these concepts and techniques, and express real-world problems in mathematical language, is essential in quantitative fields such as science, business, and technology. This is an introductory unit, which attempts to establish foundational skills that you will extend in subsequent discipline-specific units. This unit is particularly intended for students whose mathematics preparation does not include Queensland Senior Specialist Mathematics (Mathematics C) or an equivalent.
Learning Outcomes
On successful completion of this unit you will be able to:
- Recall foundational calculus and complex algebra concepts, and translate them to new scientific contexts
- Utilise correct notation and techniques when solving mathematical problems.
- Interpret, translate and solve real world problems using mathematical methods.
Content
The topics covered in this unit are:
- Elementary functions (including trigonometric, logarithmic and exponential functions);
- Differential Calculus, including the chain and product rules, implicit differentiation;
- Integral Calculus, including integration by substitution/integration by parts;
- The arithmetic and algebra of complex numbers.
Learning Approaches
As a first year unit your learning in this unit will be carefully scaffolded to support you to develop a solid understanding of the fundamental concepts relating to differential and integral calculus. In this unit, you will learn by engaging in a combination of the following activities:
- Weekly lectures
- Weekly workshops
- Online resources such as video lectures
The material presented in these activities will be context-based, utilising examples from a range of real-world applications and purely mathematical scenarios. The emphasis will be on learning by doing, learning in groups and as individuals, written and oral communication, and developing skills and attitudes to promote life-long learning.
You are expected to participate in any lecture/workshop session times allocated, but also engage in your own private study. That is, you are expected to consolidate the material presented during class by working a wide variety of exercises, problems and online learning activities in your own time.
Additional learning support may be obtained from drop-in and/or dedicated mathematics support sessions run by the Student Success Group.
You can expect to spend between 10 - 15 hours per week on average involved in preparing for and attending all scheduled classes, completing assessment tasks, and undertaking your own independent study to consolidate your learning.
Feedback on Learning and Assessment
Informal feedback on examples and exercises will be provided by teaching staff and peers via class and peer discussion in workshops and through the online unit communication channel. Formal feedback will be provided by written comments and marks on assessment pieces.
Assessment
Overview
The assessment items in this unit are designed to determine and provide feedback on 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
This Problem Solving Task will comprise a small number of written mathematical exercises that must be completed by students and submitted online. Effective mathematical communication will form part of the assessment criteria.
Assessment: Final Exam
A final in-person invigilated test consisting of a combination of multiple choice and short answer questions, to take place in a timetabled session at the end of the teaching period. The multiple choice and short answer questions will be of a similar nature to those covered in workshop activities.
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.
Requirements to Study
Requirements
Nil
Costs
There are no out of the ordinary costs associated with this unit.
Resources
There are no prescribed texts for this unit. All learning materials to support your learning in this unit will be provided in the Canvas unit site. Suggested references for further independent study are listed below.
Resource Materials
Reference book(s)
Anton, Bivens and Davis. Calculus: Early Transcendentals, 9th Edition. Wiley.
Mallet DG, Pettet GJ & Farr AC. Introductory Algebra and Calculus. 2012. Pearson.
Risk Assessment Statement
There are no out of the ordinary risks associated with this unit.
Course Learning Outcomes
This unit is designed to support your development of the following course/study area learning outcomes.ST01 Bachelor of Science
- Develop a broad, multidisciplinary understanding of science and a specialised, in-depth knowledge of at least one discipline.
Relates to: ULO1, ULO2, Problem Solving Task, Final Exam - Use higher order thinking skills to design, plan, and conduct investigations and evaluate data to address scientific questions and challenges.
Relates to: ULO3, Problem Solving Task - Develop and demonstrate key competencies in scientific practices and relevant technologies.
Relates to: ULO3, Problem Solving Task - Communicate scientific findings, concepts and evidence-based reasoning to diverse audiences using a variety of methods.
Relates to: ULO2, Problem Solving Task, Final Exam
SV02 Bachelor of Science
- Develop a broad, multidisciplinary understanding of science and a specialised, in-depth knowledge of at least one discipline.
Relates to: ULO1, ULO2, Problem Solving Task, Final Exam - Use higher order thinking skills to design, plan, and conduct investigations and evaluate data to address scientific questions and challenges.
Relates to: ULO3, Problem Solving Task - Develop and demonstrate key competencies in scientific practices and relevant technologies.
Relates to: ULO3, Problem Solving Task - Communicate scientific findings, concepts and evidence-based reasoning to diverse audiences using a variety of methods.
Relates to: ULO2, Problem Solving Task, Final Exam