Overview
In this unit, you will study vectors, complex numbers, single variable differential calculus and linear algebra. Through a visual, verbal, numerical and algebraic approach, with particular focus on the practical power of calculus, you will develop a conceptual understanding of calculus and apply differentiation to solve problems in scientific engineering and other disciplines. You will use linear operations to determine the inverse and determinants of matrices. You will use vectors and complex numbers to solve relevant problems, formulate and apply functions and graphs in modelling applied mathematics problems. 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: MATH11160 or MATH11246 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 - 2019
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 evaluation
Perhaps having on campus tutorials would be beneficial.
Consider adding weekly lecture and tutorial in Rockhampton North and also making recordings available on Moodle.
Feedback from unit evaluation
Possibly updating the tutorials.
This would be largely realised through the weekly lecture and tutorial in Rockhampton North.
- Solve problems requiring the use of vectors and complex numbers
- Apply linear operations to determine the inverse and determinants of matrices
- 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 | 5 | 6 | |
| 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 | 5 | 6 | |
| 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 - First Nations Knowledges | ||||||
| 11 - 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 | 11 | |
| 1 - Written Assessment - 25% | |||||||||||
| 2 - Written Assessment - 25% | |||||||||||
| 3 - Examination - 50% | |||||||||||
Textbooks
ESSENTIALS AND EXAMPLES OF APPLIED MATHEMATICS
- Edition: 1st edn (2018)
- Authors: Guo, WW
- Pearson Australia
- Melbourne Melbourne , VIC , Australia
- ISBN: 9781488623820
- Binding: Paperback
Additional Textbook Information
Paper copies can be purchased at the CQUni Bookshop here: http://bookshop.cqu.edu.au (search on the Unit code)
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.
w.guo@cqu.edu.au
Week 1
Begin Date: 11 Mar 2019Module/Topic
Matrices: Fundamentals of Matrices and Vectors
Chapter
Chapter 14.1
Events and Submissions/Topic
Read Chapter 14.1;
Complete Tutorial 1 exercises
Week 2
Begin Date: 18 Mar 2019Module/Topic
Matrices: Determinants, Inverse Matrices
Chapter
Chapter 14.2-14.3
Events and Submissions/Topic
Read Chapter 14.2-14.3;
Complete Tutorial 2 exercises
Week 3
Begin Date: 25 Mar 2019Module/Topic
Differentiation: Limits, Continuities and Derivatives of Continuous Functions
Chapter
Chapter 10.1-10.2
Events and Submissions/Topic
Read Chapter 10.1-10.2;
Complete Tutorial 3 exercises
Week 4
Begin Date: 01 Apr 2019Module/Topic
Differentiation: Advanced Techniques of Differentiation
Chapter
Chapter 10.3
Events and Submissions/Topic
Read Chapter 10.3;
Complete Tutorial 4 exercises
Week 5
Begin Date: 08 Apr 2019Module/Topic
Differentiation: Derivatives of Special Functions, and Higher Order Derivatives
Chapter
Chapter 10.4-10.5
Events and Submissions/Topic
Read Chapter 10.4-10.5;
Complete Tutorial 5 exercises
Vacation Week
Begin Date: 15 Apr 2019Module/Topic
Mid-Term Break
Chapter
Events and Submissions/Topic
Week 6
Begin Date: 22 Apr 2019Module/Topic
Differentiation: Critical Points and Extreme Values of Functions
Chapter
Chapter 11.2
Events and Submissions/Topic
Read Chapter 11.2;
Complete Tutorial 6 exercises
Assignment 1 Due: Week 6 Wednesday (24 Apr 2019) 11:55 pm AEST
Week 7
Begin Date: 29 Apr 2019Module/Topic
Differentiation: Differentials and Approximation
Chapter
Chapter 11.3
Events and Submissions/Topic
Read Chapter 11.3;
Complete Tutorial 7 exercises
Week 8
Begin Date: 06 May 2019Module/Topic
Differentiation: Applications of Differentiation
Chapter
Chapter 11.1 and 11.4
Events and Submissions/Topic
Read Chapter 11.1 and 11.4;
Complete Tutorial 8 exercises
Week 9
Begin Date: 13 May 2019Module/Topic
Differentiation: Taylor Polynomials and Series
Chapter
Chapter 16.2
Events and Submissions/Topic
Read Chapter 16.2;
Complete Tutorial 9 exercises
Week 10
Begin Date: 20 May 2019Module/Topic
Vectors and Applications
Chapter
Chapter 9.1
Events and Submissions/Topic
Read Chapter 9.1;
Complete Tutorial 10 exercises
Assignment 2 Due: Week 10 Wednesday (22 May 2019) 11:55 pm AEST
Week 11
Begin Date: 27 May 2019Module/Topic
Complex Numbers and Operations
Chapter
Chapter 9.2
Events and Submissions/Topic
Read Chapter 9.2;
Complete Tutorial 11 exercises
Week 12
Begin Date: 03 Jun 2019Module/Topic
Unit review and examination preparation
Chapter
Events and Submissions/Topic
Review/Exam Week
Begin Date: 10 Jun 2019Module/Topic
Chapter
Events and Submissions/Topic
Exam Week
Begin Date: 17 Jun 2019Module/Topic
Chapter
Events and Submissions/Topic
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 Wednesday (24 Apr 2019) 11:55 pm AEST
Week 8 Wednesday (8 May 2019)
It is envisaged that feedback and solutions will be available in two weeks, or as soon as the process is completed.
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 clearly presented and all appropriate working should be shown. Assignments will receive NO marks if submitted after the solutions are released.
- Solve problems requiring the use of vectors and complex numbers
- Apply linear operations to determine the inverse and determinants of matrices
- Communicate results, concepts and ideas in context using mathematics as a language.
- Communication
- Problem Solving
- Critical Thinking
- Information Literacy
- Information Technology Competence
- Ethical practice
2 Written Assessment
This is an individual assignment.
This assignment is to test student's learning outcomes of topics studied in Weeks 6-9. The assignment details are provided on the Moodle website.
Week 10 Wednesday (22 May 2019) 11:55 pm AEST
Week 12 Wednesday (5 June 2019)
It is envisaged that feedback and solutions will be available in two weeks, or as soon as the process is completed.
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 clearly presented and all appropriate working should be shown. Assignments will receive NO marks if submitted after the solutions are released.
- 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.
- Communication
- Problem Solving
- Critical Thinking
- Information Literacy
- Information Technology Competence
- Ethical practice
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.
What can you do to act with integrity?
