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Overview
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
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).
Offerings For Term 3 - 2022
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.
Class Timetable
Assessment Overview
Assessment Grading
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%). Consult the University's Grades and Results Policy for more details of interim results and final grades.
All University policies are available on the CQUniversity Policy site.
You may wish to view these policies:
- Grades and Results Policy
- Assessment Policy and Procedure (Higher Education Coursework)
- Review of Grade Procedure
- Student Academic Integrity Policy and Procedure
- Monitoring Academic Progress (MAP) Policy and Procedure - Domestic Students
- Monitoring Academic Progress (MAP) Policy and Procedure - International Students
- Student Refund and Credit Balance Policy and Procedure
- Student Feedback - Compliments and Complaints Policy and Procedure
- Information and Communications Technology Acceptable Use Policy and Procedure
This list is not an exhaustive list of all University policies. The full list of University policies are available on the CQUniversity Policy site.
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.
Feedback from 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.
- 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
Alignment of Assessment Tasks to Learning Outcomes
Assessment Tasks | Learning Outcomes | ||||||
---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | 7 | |
1 - Written Assessment - 20% | |||||||
2 - Written Assessment - 20% | |||||||
3 - Examination - 60% |
Alignment of Graduate Attributes to Learning Outcomes
Graduate Attributes | Learning Outcomes | ||||||
---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | 7 | |
1 - Communication | |||||||
2 - Problem Solving | |||||||
3 - Critical Thinking | |||||||
4 - Information Literacy | |||||||
5 - Team Work | |||||||
6 - Information Technology Competence | |||||||
7 - Cross Cultural Competence | |||||||
8 - Ethical practice | |||||||
9 - Social Innovation | |||||||
10 - Aboriginal and Torres Strait Islander Cultures |
Alignment of Assessment Tasks to Graduate Attributes
Assessment Tasks | Graduate Attributes | |||||||||
---|---|---|---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
1 - Written Assessment - 20% | ||||||||||
2 - Written Assessment - 20% | ||||||||||
3 - Examination - 60% |
Textbooks
Engineering Mathematics: A Foundation for Electronic, Electrical, Communications and Systems Engineers
Fifth Edition (2017)
Authors: Anthony Croft, Robert Davison, Martin Hargreaves and James Flint
Pearson
Harlow Harlow , England
ISBN: 978-1-292-14665-2
Binding: Paperback
ESSENTIALS AND EXAMPLES OF APPLIED MATHEMATICS
Edition: 2nd edn (2020)
Authors: William Guo
Pearson Australia
Melbourne Melbourne , VIC , Australia
ISBN: 9780655703624
Binding: Paperback
IT Resources
- CQUniversity Student Email
- Internet
- Unit Website (Moodle)
- Access to a document scanner and/or pdf converter (all assessment submitted electronically as pdf file)
- Access to a printer (for printing assessment and tutorial materials)
- Access to a webcam, speakers and microphone or a headset (for participating in Zoom lectures and tutorials)
All submissions for this unit must use the referencing style: Harvard (author-date)
For further information, see the Assessment Tasks.
l.piyathilaka@cqu.edu.au
Module/Topic
Textbook Sections 10.1 to 10.8
Chapter
Chapter 10: Differentiation
Events and Submissions/Topic
Textbook Exercises 10.3 to 10.8 and Week 1 Tutorial Exercises
Module/Topic
Textbook Sections 11.1 to 11.4
Chapter
Chapter 11: Techniques of Differentiation
Events and Submissions/Topic
Textbook Exercises 11.2 to 11.4 and Week 2 Tutorial Exercises
Module/Topic
Textbook Sections 12.1 to 12.4
Chapter
Chapter 12: Application of Differentiation
Events and Submissions/Topic
Textbook Exercises 12.2 to 12.4 and Week 3 Tutorial Exercises
Module/Topic
Textbook Sections 6.1 to 6.6
Chapter
Chapter 6: Sequences and Series
Events and Submissions/Topic
Textbook Exercises 6.2 to 6.6 and Week 4 Tutorial Exercises
Module/Topic
Chapter
Events and Submissions/Topic
Module/Topic
Textbook Sections 18.1 to 18.6
Chapter
Chapter 18: Taylor Polynomials, Taylor Series and Maclaurin Series
Events and Submissions/Topic
Textbook Exercises 18.2 to 18.6 and Week 5 Tutorial Exercises
Assignment 1 Due: Week 5 Friday (16 Dec 2022) 5:00 pm AEST
Module/Topic
Textbook Sections 13.1 to 13.3
Chapter
Chapter 13: Integration
Events and Submissions/Topic
Textbook Exercises 13.2 to 13.3 and Week 6 Tutorial Exercises
Module/Topic
Chapter
Events and Submissions/Topic
Module/Topic
Textbook Sections 14.1 to 14.4
Chapter
Chapter 14: Techniques of Integration
Events and Submissions/Topic
Textbook Exercises 14.2 to 14.4 and Week 7 Tutorial Exercises
Module/Topic
Resource Materials
Chapter
Further Topics in Integration
Events and Submissions/Topic
Resource Material Exercises and Week 8 Tutorial Exercises
Module/Topic
Textbook Sections 19.1 to 19.4
Chapter
Chapter 19: Ordinary Differential Equations
Events and Submissions/Topic
Textbook Exercises 19.2 to 19.4 and Week 9 Tutorial Exercises
Module/Topic
Textbook Sections 19.5 to 19.6
Chapter
Chapter 19: Ordinary Differential Equations
Events and Submissions/Topic
Textbook Exercises 19.5 to 19.6 and Week 10 Tutorial Exercises
Assignment 2 Due: Week 10 Monday (23 Jan 2023) 5:00 pm AEST
Module/Topic
Textbook Sections 25.1 to 25.5
Chapter
Chapter 25: Functions of Several Variables
Events and Submissions/Topic
Textbook Exercises 25.3 to 25.5 and Week 11 Tutorial Exercises
Module/Topic
Revision
Chapter
Events and Submissions/Topic
Week 12 Tutorial Exercises
Module/Topic
Chapter
Events and Submissions/Topic
Final Examination
1 Written Assessment
This is an individual assignment. Students are reminded that all aspects of work submitted are to be the results of their own personal studies.
Please see the unit Moodle site for the questions in this assignment. Assignment 1 will be available for download under the "Assessment" tile on the unit Moodle website, together with complete instructions for online submission of your solutions to the assignment questions.
Marks will be deducted for assignments that are submitted late without an extension request. Assignments will receive NO marks if submitted after the solutions have been released.
Week 5 Friday (16 Dec 2022) 5:00 pm AEST
We strive to have feedback and solutions available within two weeks, or as soon as the marking process is completed.
The final weighted result is out of 20. Questions are awarded full marks if they are error-free, partial marks if there are some errors, and no marks if not attempted or contain so many errors as to render the attempt to be without value.
Answers to all questions should be neatly and clearly presented and full working is required to obtain maximum credit for solutions.
- Communication
- Problem Solving
- Critical Thinking
- Information Literacy
- Information Technology Competence
- 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
- Communicate results, concepts, and ideas in context using mathematics as a language
- Use mathematical software to visualise, analyse, validate and solve problems.
2 Written Assessment
This is an individual assignment. Students are reminded that all aspects of work submitted are to be the results of their own personal studies.
Please see the unit Moodle site for the questions in this assignment. Assignment 2 will be available for download under the "Assessment" tile on the unit Moodle website, together with complete instructions for online submission of your solutions to the assignment questions.
Marks will be deducted for assignments that are submitted late without an extension request. Assignments will receive NO marks if submitted after the solutions have been released.
Week 10 Monday (23 Jan 2023) 5:00 pm AEST
We strive to have feedback and solutions available within two weeks, or as soon as the marking process is completed.
The final weighted result is out of 20. Questions are awarded full marks if they are error-free, partial marks if there are some errors, and no marks if not attempted or contain so many errors as to render the attempt to be without value.
Answers to all questions should be neatly and clearly presented and full working is required to obtain maximum credit for solutions.
- Communication
- Problem Solving
- Critical Thinking
- Information Literacy
- Information Technology Competence
- 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.
Examination
Calculator - all non-communicable calculators, including scientific, programmable and graphics calculators are authorised
As a CQUniversity student you are expected to act honestly in all aspects of your academic work.
Any assessable work undertaken or submitted for review or assessment must be your own work. Assessable work is any type of work you do to meet the assessment requirements in the unit, including draft work submitted for review and feedback and final work to be assessed.
When you use the ideas, words or data of others in your assessment, you must thoroughly and clearly acknowledge the source of this information by using the correct referencing style for your unit. Using others’ work without proper acknowledgement may be considered a form of intellectual dishonesty.
Participating honestly, respectfully, responsibly, and fairly in your university study ensures the CQUniversity qualification you earn will be valued as a true indication of your individual academic achievement and will continue to receive the respect and recognition it deserves.
As a student, you are responsible for reading and following CQUniversity’s policies, including the Student Academic Integrity Policy and Procedure. This policy sets out CQUniversity’s expectations of you to act with integrity, examples of academic integrity breaches to avoid, the processes used to address alleged breaches of academic integrity, and potential penalties.
What is a breach of academic integrity?
A breach of academic integrity includes but is not limited to plagiarism, self-plagiarism, collusion, cheating, contract cheating, and academic misconduct. The Student Academic Integrity Policy and Procedure defines what these terms mean and gives examples.
Why is academic integrity important?
A breach of academic integrity may result in one or more penalties, including suspension or even expulsion from the University. It can also have negative implications for student visas and future enrolment at CQUniversity or elsewhere. Students who engage in contract cheating also risk being blackmailed by contract cheating services.
Where can I get assistance?
For academic advice and guidance, the Academic Learning Centre (ALC) can support you in becoming confident in completing assessments with integrity and of high standard.