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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 Anti-requisite: MATH12223 or MATH12224 Important note: Students enrolled in a subsequent unit who failed their pre-requisite unit, should drop the subsequent unit before the census date or within 10 working days of Fail grade notification. Students who do not drop the unit in this timeframe cannot later drop the unit without academic and financial liability. See details in the Assessment Policy and Procedure (Higher Education Coursework). |
| Class Timetable | View Unit Timetable |
| Residential School | No Residential School |
Unit Availabilities from Term 3 - 2020
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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. Take Home Exam | 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 .
No previous feedback available
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: Unit Coordinator reflection
A large segment of students would substantially benefit from ensuring sufficient practice with the fundamental mathematics curriculum covered in the unit.
Update unit assessment to include workbook submissions that capture the students practice, in developing solutions to the units curriculum, during the term.
Introduced workbook as an assessment item.
Source: SUTE
Students were not happy with the amount of questions they have to solve in workbook based assessment items.
A number of questions in the workbook-based assessment item should be revisited to reduce the workload by removing similar types of questions from the workbook.
In Progress
Source: SUTE
Students preferred solving smaller number of tutorial questions in detail rather than explaining large number of questions within one tutorial session.
Tutorial questions should be reviewed and identify the key questions to be discussed during the tutorial session in detail.
In Progress
Source: SUTE
Students found content and real-world applications used within the unit interesting.
This content should be retained.
In Progress
Source: SUTE
Some students found content taught in the unit not relevant to their discipline of study.
Content should be reviewed to include material that covers multiple disciplines.
In Progress
Source: SUTE
Students expected more detailed individualised feedback for their assessments.
More detailed feedback should be given to assessments.
In Progress
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.
| Assessment Tasks | Learning Outcomes | ||||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | |
| 1 - Written Assessment | • | • | • | • | |||
| 2 - Written Assessment | • | • | • | • | • | ||
| 3 - Take Home Exam | • | • | • | • | • | ||
| 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 - Take Home Exam | • | • | • | • | • | • | |||||