Overview
In this unit, you will study common functions and single-variable differential calculus. Through a visual, verbal, numerical and algebraic approach, you will formulate and apply functions and graphs in modelling applied mathematics problems. You will also develop a conceptual understanding of calculus and apply differentiation to solve problems in science, engineering and other disciplines. Other important elements of this unit are the communication of results, concepts and ideas using mathematics as a language.
Details
Pre-requisites or Co-requisites
Prerequisite: MATH11246 or MATH11160 Anti-Requisite: MATH11163
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 1 - 2024
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 Discipline Leader (Mathematics and Statistics)
The unit Moodle site would benefit from clearer weekly study instructions to direct student learning and to highlight the available supporting resources.
Add detailed weekly study instructions to the unit Moodle site and highlight available supporting resources.
- Formulate and apply functions and graphs in modelling applied mathematics problems
- Solve problems using the concepts of limit, continuity and derivative, and rules of differentiation of functions
- Determine solutions to problems involving rates of change, optimisation and approximate computation through differentiation
- Communicate results, concepts and ideas in context using mathematics as a language.
Alignment of Assessment Tasks to Learning Outcomes
| Assessment Tasks | Learning Outcomes | |||
|---|---|---|---|---|
| 1 | 2 | 3 | 4 | |
| 1 - Written Assessment - 25% | ||||
| 2 - Written Assessment - 25% | ||||
| 3 - Examination - 50% | ||||
Alignment of Graduate Attributes to Learning Outcomes
| Graduate Attributes | Learning Outcomes | |||
|---|---|---|---|---|
| 1 | 2 | 3 | 4 | |
| 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 | ||||
Textbooks
ESSENTIALS AND EXAMPLES OF APPLIED MATHEMATICS
Edition: 2nd (2021)
Authors: William Guo
Pearson Australia
Melbourne Melbourne , Victoria , Australia
ISBN: 9780655703624
Binding: Paperback
IT Resources
- CQUniversity Student Email
- Internet
- Unit Website (Moodle)
All submissions for this unit must use the referencing style: Harvard (author-date)
For further information, see the Assessment Tasks.
j.wang@cqu.edu.au
Module/Topic
Functions and Graphs
Chapter
Textbook: Sections 4.1-4.2
Events and Submissions/Topic
Read Sections 4.1-4.2; Complete Week 1 exercises
Module/Topic
Multivariable Functions and the Cartesian System
Linear Functions
Chapter
Textbook: Section 4.3
Textbook: Section 5.1
Events and Submissions/Topic
Read Sections 4.3 & 5.1; Complete Week 2 exercises
Module/Topic
Quadratic Functions and Higher Order Polynomials
Chapter
Textbook: Sections 5.2-5.3
Events and Submissions/Topic
Read Sections 5.2-5.3; Complete Week 3 exercises
Module/Topic
Exponential and Logarithmic Functions
Chapter
Textbook: Chapter 6
Events and Submissions/Topic
Read Chapter 6; Complete Week 4 exercises
Module/Topic
Trigonometric and Hyperbolic Functions
Chapter
Textbook: Chapter 7
Events and Submissions/Topic
Read Chapter 7; Complete Week 5 exercises
Module/Topic
Mid-Term Break
Chapter
Events and Submissions/Topic
Module/Topic
Limits and Continuities of Continuous Functions
Chapter
Section 10.1
Events and Submissions/Topic
Read Section 10.1; Complete Week 6 exercises
Assignment 1 Due: Week 6 Friday (19 Apr 2024) 11:45 pm AEST
Module/Topic
Derivatives of Continuous Functions
Chapter
Section 10.2
Events and Submissions/Topic
Read Section 10.2; Complete Week 7 exercises
Module/Topic
Advanced Techniques of Differentiation, and Higher Order Derivatives
Chapter
Sections 10.3 and 10.4
Events and Submissions/Topic
Read Sections 10.3 and 10.4; Complete Week 8 exercises
Module/Topic
Applications of Derivatives (1)
Chapter
Sections 11.1-11.2
Events and Submissions/Topic
Read Sections 11.1-11.2; Complete Week 9 exercises
Module/Topic
Applications of Derivatives (2)
Chapter
Section 11.3
Events and Submissions/Topic
Read Section 11.3; Complete Week 10 exercises
Module/Topic
Applications of Derivatives (3)
Chapter
Section 11.4
Events and Submissions/Topic
Read Section 11.4; Complete Week 11 exercises
Module/Topic
Unit review and examination preparation
Chapter
Events and Submissions/Topic
Module/Topic
Chapter
Events and Submissions/Topic
Module/Topic
Chapter
Events and Submissions/Topic
For any queries, please contact the unit coordinator: Dr Jia Wang (j.wang@cqu.edu.au).
1 Written Assessment
This is an individual assignment. This assignment is to test student's learning outcomes of topics studied in Weeks 1-5. The assignment details are provided on the Moodle website.
Week 6 Friday (19 Apr 2024) 11:45 pm AEST
Week 8 Friday (3 May 2024)
It is envisaged that feedback and solutions will be available in two weeks, or as soon as the marking process is completed. Late submissions with or without extension approvals may be returned after the above dates.
- The final mark is out of 25. Questions are awarded the full marks allocated if they are error-free, partial marks if there are some problems, and no marks if not attempted or contain so many errors as to render the attempt to be without value. To ensure maximum benefit, answers to all questions should be neatly and presented and all appropriate work should be shown. Assignments will receive NO marks if submitted after the solutions are released.
- Due to the increasing number of cases where mathematical solutions can be obtained from software packages, the work that does not follow the approaches taught in this unit will not attract any credit against the question even if the solution is correct.
- Solve problems using the concepts of limit, continuity and derivative, and rules of differentiation of functions
- Determine solutions to problems involving rates of change, optimisation and approximate computation through differentiation
- Communicate results, concepts and ideas in context using mathematics as a language.
2 Written Assessment
This is an individual assignment. This assignment is to test student's learning outcomes of topics studied in Weeks 6-11. The assignment details are provided on the Moodle website.
Week 12 Monday (27 May 2024) 11:45 pm AEST
Review/Exam Week Wednesday (5 June 2024)
It is envisaged that the feedback and solutions will be available before the exam if all students submitted this assignment on time. Late submissions with or without extension approvals may be returned after the above dates.
- The final mark is out of 25. Questions are awarded the full marks allocated if they are error-free, partial marks if there are some problems, and no marks if not attempted or contain so many errors as to render the attempt to be without value. To ensure maximum benefit, answers to all questions should be neatly presented and all appropriate work should be shown. Assignments will receive NO marks if submitted after the solutions are released.
- Due to the increasing number of cases where mathematical solutions can be obtained from software packages, the work that does not follow the approaches taught in this unit will not attract any credit against the question even if the solution is correct.
- Formulate and apply functions and graphs in modelling applied mathematics problems
- Communicate results, concepts and ideas in context using mathematics as a language.
Examination
Calculator - non-programmable, no text retrieval, silent only
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.
What can you do to act with integrity?
