Overview
In this unit, you will study fundamental mathematical concepts, processes, and techniques necessary to support subsequent studies in applied calculus. Throughout the term, you will record handwritten worked examples of all problems attempted in a workbook to create a comprehensive resource for solving mathematical problems, which you can apply in the exam and throughout your course and career. You will investigate the properties and applications of linear, quadratic, logarithmic, and exponential functions. You will use trigonometry to solve triangles and determine solutions to problems involving algebraic techniques. Complex numbers, vectors, and matrix algebra will be used to develop solutions to problems. Other important elements of this unit are communicating results, concepts, and ideas using mathematics as a language. This unit will develop your software skills in WolframAlpha to visualise, analyse, validate and solve problems.
Details
Pre-requisites or Co-requisites
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 2 - 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 pass/fail (non-graded) unit. To pass the unit, you must pass all of the individual assessment tasks shown in the table above.
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 Student evaluation
Most of the content is well known by anyone who has studied Specialist Maths in high school.
It is not recommended that the contents of this unit be considered 'advanced' as most of the students who enrol have not taken 'Mathematical Methods' or 'Specialist Mathematics', in High School.
Feedback from Student evaluation
Assessment questions should be free from spelling and grammatical errors.
Assessment questions should be checked and made free from spelling and grammatical errors.
Feedback from Student evaluation
Students scored lowest in the 'Useful feedback' category (55.56%).
More detailed and individualised feedback should be provided in the assessments as quickly as practicable.
- Determine solutions to problems involving algebraic techniques and vectors
- Solve problems by applying the properties of linear, quadratic, logarithmic, and exponential functions
- Model periodic phenomena using trigonometric functions
- Solve geometric and engineering problems using complex numbers
- Represent and solve problems using matrices and matrix operators
- Communicate results, concepts, and ideas in context using mathematics as a language
- Apply 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
1.2 Conceptual understanding of the mathematics, numerical analysis, statistics, and computer and information sciences which underpin the engineering discipline. (LO: 1N 2N 3N 4N 5N 6N 7N)
2.1 Application of established engineering methods to complex engineering problem-solving. (LO: 1N 2N 3N 4N 5N 7N)
2.2 Fluent application of engineering techniques, tools, and resources. (LO: 1N 2N 3N 4N 5N 7N)
3.2 Effective oral and written communication in professional and lay domains. (LO: 6N)
3.3 Creative, innovative, and proactive demeanor. (LO: 1N 2N 3N 4N 5N)
3.4 Professional use and management of information. (LO: 6N)
Note: LO refers to the Learning Outcome number(s) which link to the competency and the levels: N – Introductory, I – Intermediate, and A - Advanced.
Refer to the Engineering Undergraduate Course Moodle site for further information on Engineers Australia's Stage 1 Competency Standard for Professional Engineers and course-level mapping information https://moodle.cqu.edu.au/course/view.php?id=1511
Alignment of Assessment Tasks to Learning Outcomes
| Assessment Tasks | Learning Outcomes | ||||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | |
| 1 - Written Assessment - 0% | |||||||
| 2 - Online Quiz(zes) - 0% | |||||||
| 3 - Examination - 0% | |||||||
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 - First Nations Knowledges | |||||||
| 11 - Aboriginal and Torres Strait Islander Cultures | |||||||
Textbooks
Engineering Mathematics
- 5th edition (2017)
- Authors: Croft, Davison, Flint & Hargeaves
- Pearson
- Harlow Harlow , Essex , UK
- ISBN: 9781292146652
- 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, speaker 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.
k.nepal@cqu.edu.au
Week 1 Review of algebraic techniques (I)
Begin Date: 08 Jul 2024Module/Topic
Textbook Sections 1.1, 1.2,1.4 to 1.5
Chapter
Chapter 1: Review of algebraic techniques
Events and Submissions/Topic
Textbook Exercises 1.2, 1.4 to 1.5 and Week 1 Tutorial Exercises
Week 2 Review of algebraic techniques (II)
Begin Date: 15 Jul 2024Module/Topic
Textbook Sections 1.6 to 1.8
Chapter
Chapter 1: Review of algebraic techniques
Events and Submissions/Topic
Textbook Exercises 1.6 to 1.8 and Week 2 Tutorial Exercises
Week 3 Coordinate systems and vectors
Begin Date: 22 Jul 2024Module/Topic
Textbook Sections 4.1 to 4.4, 7.1 to 7.7
Chapter
Chapter 4: Coordinate systems, and Chapter 7: Vectors
Events and Submissions/Topic
Textbook Exercises 4.2 to 4.4, 7.2, 7.3, 7.5 to 7.7 and Week 3 Tutorial Exercises
Assessment 2a: Competency Test 1 due
Assessment 1: Handwritten Workbook preparation I
Week 4 Engineering functions (I)
Begin Date: 29 Jul 2024Module/Topic
Textbook Sections 2.1 to 2.3, 2.4.1, 2.4.2, 2.4.6 to 2.4.9
Chapter
Chapter 2: Engineering functions
Events and Submissions/Topic
Textbook Exercises 2.3, 2.4.1, 2.4.2, 2.4.6, 2.4.8, 2.4.9 and Week 4 Tutorial Exercises
Week 5 Engineering functions (II)
Begin Date: 05 Aug 2024Module/Topic
Textbook Sections 2.4.3 to 2.4.5
Chapter
Chapter 2: Engineering functions
Events and Submissions/Topic
Textbook Exercises 2.4.3, 2.4.4, 2.4.5 and Week 5 Tutorial Exercises
Vacation Week
Begin Date: 12 Aug 2024Module/Topic
Chapter
Events and Submissions/Topic
Week 6 The trigonometric functions (I)
Begin Date: 19 Aug 2024Module/Topic
Textbook Sections 3.1 to 3.6
Chapter
Chapter 3: The trigonometric functions
Events and Submissions/Topic
Textbook Exercises 3.3, 3.4, 3.6 and Week 6 Tutorial Exercises
Week 7 The trigonometric functions (II)
Begin Date: 26 Aug 2024Module/Topic
Textbook Sections 3.7 to 3.8
Chapter
Chapter 3: The trigonometric functions
Events and Submissions/Topic
Textbook Exercises 3.7 to 3.8 and Week 7 Tutorial Exercises
Assessment 2b: Competency Test 2 due
Assessment 1: Handwritten Workbook preparation II
Week 8 Complex numbers (I)
Begin Date: 02 Sep 2024Module/Topic
Textbook Sections 9.1 to 9.8
Chapter
Chapter 9: Complex numbers
Events and Submissions/Topic
Textbook Exercises 9.2 to 9.5, 9.7 and Week 8 Tutorial Exercises
Week 9 Complex numbers (II)
Begin Date: 09 Sep 2024Module/Topic
Textbook Sections 9.9 to 9.10
Chapter
Chapter 9: Complex numbers
Events and Submissions/Topic
Textbook Exercises 9.9 to 9.10 and Week 9 Tutorial Exercises
Week 10 Matrix algebra (I)
Begin Date: 16 Sep 2024Module/Topic
Textbook Sections 8.1 to 8.8
Chapter
Chapter 8: Matrix algebra
Events and Submissions/Topic
Textbook Exercises 8.3, 8.5, 8.6, 8.7, 8.8 and Week 10 Tutorial Exercises
Week 11 Matrix algebra (II)
Begin Date: 23 Sep 2024Module/Topic
Textbook Sections 8.9 to 8.13
Chapter
Chapter 8: Matrix algebra
Events and Submissions/Topic
Textbook Exercises 8.9 to 8.11, 8.13 and Week 11 Tutorial Exercises
Assessment 2c: Competency Test 3 due
Assessment 1: Handwritten Workbook preparation III
Week 12
Begin Date: 30 Sep 2024Module/Topic
Revision
Chapter
Events and Submissions/Topic
Revision and Week 12 Tutorial Exercises
Handwritten Workbook Due: Week 12 Wednesday (2 Oct 2024) 11:59 pm AEST
Review/Exam Week
Begin Date: 07 Oct 2024Module/Topic
Chapter
Events and Submissions/Topic
Exam Week
Begin Date: 14 Oct 2024Module/Topic
Chapter
Events and Submissions/Topic
Standard examination
1 Written Assessment
This is an individual assessment. It must only be handwritten and scanned copy uploaded for checking after completing, revising and updating three competency tests (Week 3, Week 7 and Week 11) and submit in Week 12.
Students need to (i) handwrite the solutions to three competency tests, (ii) revise and update after receiving the solutions, (iii) sequentially organise and (iv) submit solutions of all (both originally correct and revised solutions) of thirty (30) extended response mathematical questions as a single scanned PDF copy of the workbook.
Students are only permitted to bring this one physical workbook into the exam.
Students are reminded that all aspects of work submitted are to be the efforts of their own personal studies.
Please see the unit Moodle site for the questions in this assessment, together with complete instructions for online submission of your solutions.
Marks will be deducted for assessments that are submitted late without an extension request. Assessments will receive NO marks if submitted after the solutions have been released.
Week 12 Wednesday (2 Oct 2024) 11:59 pm AEST
Review/Exam Week Wednesday (9 Oct 2024)
The assessment mark is based on Pass/Fail system. 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.
- Determine solutions to problems involving algebraic techniques and vectors
- Solve problems by applying the properties of linear, quadratic, logarithmic, and exponential functions
- Model periodic phenomena using trigonometric functions
- Solve geometric and engineering problems using complex numbers
- Represent and solve problems using matrices and matrix operators
- Communicate results, concepts, and ideas in context using mathematics as a language
- Apply mathematical software to visualise, analyse, validate and solve problems.
2 Online Quiz(zes)
Students need to complete three (3) competency tests at the end of Week 3, Week 7 and Week 11. All solutions must be handwritten and scanned copies of the sequentially organised solutions are submitted in a single PDF file together with online answers in Moodle.
Students are reminded that all aspects of work submitted are to be the efforts of their own personal studies.
Please see the unit Moodle site for the questions for the competency tests. Test questions will be available under the "Assessment" tile on the unit Moodle website, together with complete instructions for online submission of your solutions to the test questions.
Test questions will be automatically closed and automatically submitted by the specified date and time. Students cannot apply for extension after the test questions are closed.
3
Other
Due date and time for each competency test will be set in unit Moodle site.
Within two weeks of the due date of each competency test
The competency test mark is based on Pass/Fail system. 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.
- Determine solutions to problems involving algebraic techniques and vectors
- Solve problems by applying the properties of linear, quadratic, logarithmic, and exponential functions
- Model periodic phenomena using trigonometric functions
- Solve geometric and engineering problems using complex numbers
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?
