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Unit Synopsis
In this unit, you will apply the essential calculus concepts, processes, and techniques to develop mathematical models for science and engineering problems. You will use the Fundamental Theorem of Calculus to illustrate the relationship between the derivative and the integral of a function. The theorem will also be applied to problems involving definite integrals. Differential calculus will be used to construct mathematical models that investigate a variety of rate-of-change and optimisation problems. You will learn how to apply the standard rules and techniques of integration. Science and engineering disciplinary problems will be investigated through the use of differential equations. Other important elements of this unit are the communication of results, concepts, and ideas using mathematics as a language. Mathematical software will also be used to visualise, analyse, validate, and solve problems studied in the unit.
Details
| Level | Undergraduate |
|---|---|
| Unit Level | 1 |
| Credit Points | 6 |
| Student Contribution Band | SCA Band 1 |
| Fraction of Full-Time Student Load | 0.125 |
| Pre-requisites or Co-requisites |
Prerequisite: MATH11218
|
| Class Timetable | View Unit Timetable |
| Residential School | No Residential School |
Unit Availabilities from Term 3 - 2021
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Term 3 - 2022 Profile
Term 2 - 2023 Profile
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Term 2 - 2024 Profile
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Term 2 - 2025 Profile
Term 3 - 2025 Profile
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Term 3 - 2026 Profile
Attendance Requirements
All on-campus students are expected to attend scheduled classes - in some units, these classes are identified as a mandatory (pass/fail) component and attendance is compulsory. International students, on a student visa, must maintain a full time study load and meet both attendance and academic progress requirements in each study period (satisfactory attendance for International students is defined as maintaining at least an 80% attendance record).
Recommended Student Time Commitment
Each 6-credit Undergraduate unit at CQUniversity requires an overall time commitment of an average of 12.5 hours of study per week, making a total of 150 hours for the unit.
Assessment Tasks
| Assessment Task | Weighting |
|---|---|
| 1. Written Assessment | 20% |
| 2. Written Assessment | 20% |
| 3. Examination | 60% |
This is a graded unit: your overall grade will be calculated from the marks or grades for each assessment task, based on the relative weightings shown in the table above. You must obtain an overall mark for the unit of at least 50%, or an overall grade of ‘pass’ in order to pass the unit. If any ‘pass/fail’ tasks are shown in the table above they must also be completed successfully (‘pass’ grade). You must also meet any minimum mark requirements specified for a particular assessment task, as detailed in the ‘assessment task’ section (note that in some instances, the minimum mark for a task may be greater than 50%).
Past Exams
All University policies are available on the Policy web site, however you may wish to directly view the following policies below.
This list is not an exhaustive list of all University policies. The full list of policies are available on the Policy web site.
Term 2 - 2025 : The overall satisfaction for students in the last offering of this course was 81.82% (`Agree` and `Strongly Agree` responses), based on a 18.33% response rate.
Feedback, Recommendations and Responses
Every unit is reviewed for enhancement each year. At the most recent review, the following staff and student feedback items were identified and recommendations were made.
Source: SUTE
Most of the students believe that the unit is relevant to the degree and contains useful learning materials.
Continue to offer a positive learning experience.
In Progress
Source: SUTE
Tutorials should incorporate more problems that are similar to those found on the exam.
The Unit Coordinator should revisit the tutorial problems and include a greater variety of problem types.
In Progress
Source: SUTE
Regularly check with students about the pace of the lecture and tutorial sessions.
It should be communicated with the students regarding the pace of the lecture and tutorial session.
Discussed any issues with students during the lecture and tutorial session.
Source: SUTE
Low satisfaction score for assessment feedback.
Inform students immediately whenever the solution to the assessment task is released. Inform students that it is a part of the assessment task to compare their work against the provided solution. Where applicable, provide detailed feedback by pointing out the errors in the students' workout.
In the first lecture session, the assessment feedback process was discussed. Students were instructed to compare their work with the provided solution and make any necessary corrections in their workbooks.
On successful completion of this unit, you will be able to:
- Interpret the derivative as a rate of change to apply the rules of differentiation in investigating rates of change of functions
- Construct mathematical models to investigate optimisation problems using differential calculus
- Carry out the process of integration as the inverse operation of differentiation
- Apply standard rules and techniques of integration to construct and analyse simple mathematical models involving rates of change and elementary differential equations
- Use the Fundamental Theorem of Calculus to illustrate the relationship between the derivative and the integral of a function and apply the theorem to problems involving definite integrals
- Communicate results, concepts, and ideas in context using mathematics as a language
- Use mathematical software to visualise, analyse, validate and solve problems.
The Learning Outcomes for this unit are linked with the Engineers Australia Stage 1 Competency Standards for Professional Engineers in the areas of 1. Knowledge and Skill Base, 2. Engineering Application Ability and 3. Professional and Personal Attributes at the following levels:
Introductory
Refer to the Engineering Undergraduate Course Moodle site for further information on the Engineers Australia's Stage 1 Competency Standard for Professional Engineers and course level mapping information
| Assessment Tasks | Learning Outcomes | ||||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | |
| 1 - Written Assessment | • | • | • | • | |||
| 2 - Written Assessment | • | • | • | • | • | ||
| 3 - Examination | • | • | • | • | • | ||
| Graduate Attributes | Learning Outcomes | ||||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | |
| 1 - Communication | • | • | • | • | • | • | • |
| 2 - Problem Solving | • | • | • | • | • | • | • |
| 3 - Critical Thinking | • | • | • | • | • | • | • |
| 4 - Information Literacy | • | • | • | • | • | • | • |
| 6 - Information Technology Competence | • | • | • | • | • | • | • |
| Assessment Tasks | Graduate Attributes | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 10 | |
| 1 - Written Assessment | • | • | • | • | • | ||||||
| 2 - Written Assessment | • | • | • | • | • | ||||||
| 3 - Examination | • | • | • | • | • | ||||||