CQUniversity Unit Profile
MATH11218 Applied Mathematics
Applied Mathematics
All details in this unit profile for MATH11218 have been officially approved by CQUniversity and represent a learning partnership between the University and you (our student).
The information will not be changed unless absolutely necessary and any change will be clearly indicated by an approved correction included in the profile.
General Information

Overview

In this unit, you will study fundamental mathematical concepts, processes and techniques that are necessary to support subsequent studies in applied calculus. 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 the communication of 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

Career Level: Undergraduate
Unit Level: Level 1
Credit Points: 6
Student Contribution Band: 7
Fraction of Full-Time Student Load: 0.125

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 - 2022

Bundaberg
Cairns
Gladstone
Mackay
Online
Rockhampton

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).

Class and Assessment Overview

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

Bundaberg, Cairns, Emerald, Gladstone, Mackay, Rockhampton, Townsville
Adelaide, Brisbane, Melbourne, Perth, Sydney

Assessment Overview

1. Written Assessment
Weighting: 20%
2. Written Assessment
Weighting: 20%
3. Examination
Weighting: 60%

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.

Previous Student Feedback

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.

Feedback

A segment of students would substantially benefit from further time allocation to the unit to develop their mathematics competency and capabilities.

Recommendation

Update unit assessment should include workbook submissions that capture the students' learning across the term.

Unit Learning Outcomes
On successful completion of this unit, you will be able to:
  1. Determine solutions to problems involving algebraic techniques and vectors
  2. Solve problems by applying the properties of linear, quadratic, logarithmic and exponential functions
  3. Model periodic phenomena using trigonometric functions
  4. Solve geometric and engineering problems using complex numbers
  5. Represent and solve problems using matrices and matrix operators
  6. Communicate results, concepts and ideas in context using mathematics as a language
  7. 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 pro-active demeanour. (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 the 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 Learning Outcomes, Assessment and Graduate Attributes
N/A Level
Introductory Level
Intermediate Level
Graduate Level
Professional Level
Advanced Level

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
Textbooks and Resources

Textbooks

Prescribed

Engineering Mathematics

5th edition (2017)
Authors: Croft, Davison, Flint & Hargeaves
Pearson
Harlow Harlow , Essex , UK
ISBN: 9781292146652
Binding: Paperback

IT Resources

You will need access to the following 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)
Referencing Style

All submissions for this unit must use the referencing style: Harvard (author-date)

For further information, see the Assessment Tasks.

Teaching Contacts
Kali Nepal Unit Coordinator
k.nepal@cqu.edu.au
Schedule
Week 1 Review of algebraic techniques (I) Begin Date: 11 Jul 2022

Module/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: 18 Jul 2022

Module/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: 25 Jul 2022

Module/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

Week 4 Engineering functions (I) Begin Date: 01 Aug 2022

Module/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


Assignment 1 Due: Week 4 Friday (5 Aug 2022) 5:00 pm AEST
Week 5 Engineering functions (II) Begin Date: 08 Aug 2022

Module/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: 15 Aug 2022

Module/Topic

Chapter

Events and Submissions/Topic

Week 6 The trigonometric functions (I) Begin Date: 22 Aug 2022

Module/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: 29 Aug 2022

Module/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

Week 8 Complex numbers (I) Begin Date: 05 Sep 2022

Module/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: 12 Sep 2022

Module/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: 19 Sep 2022

Module/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


Assignment 2 Due: Week 10 Friday (23 Sept 2022) 5:00 pm AEST
Week 11 Matrix algebra (II) Begin Date: 26 Sep 2022

Module/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

Week 12 Begin Date: 03 Oct 2022

Module/Topic

Revision

Chapter

Events and Submissions/Topic

Revision and Week 12 Tutorial Exercises

Review/Exam Week Begin Date: 10 Oct 2022

Module/Topic

Chapter

Events and Submissions/Topic

Exam Week Begin Date: 17 Oct 2022

Module/Topic

Chapter

Events and Submissions/Topic

Term Specific Information

Unit Coordinator Contact Details:

Kali Nepal

CQU University Melbourne Campus (Room: MEL 5.12)

Email: k.nepal@cqu.edu.au

Phone: (03) 9616 0664

Assessment Tasks

1 Written Assessment

Assessment Title
Assignment 1

Task Description

This is an individual assignment. 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 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.


Assessment Due Date

Week 4 Friday (5 Aug 2022) 5:00 pm AEST


Return Date to Students

It is envisaged that feedback will be available within two weeks, or as soon as the marking process is completed. Solutions to this assignment will be made available to students 2 weeks after the due date. Consequently, extension requests greater than 14 days will be denied except under exceptional circumstances.


Weighting
20%

Assessment Criteria

The final Assignment 1 mark is scaled to an assessment weighting out of maximum 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.


Referencing Style

Submission
Online

Submission Instructions
Assignment 1 is uploaded as a single PDF document to the unit Moodle site for MATH11218. Full details are provided on the unit Moodle site.

Learning Outcomes Assessed
  • Determine solutions to problems involving algebraic techniques and vectors
  • Communicate results, concepts and ideas in context using mathematics as a language
  • Apply mathematical software to visualise, analyse, validate and solve problems.

2 Written Assessment

Assessment Title
Assignment 2

Task Description

This is an individual assignment. 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 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.


Assessment Due Date

Week 10 Friday (23 Sept 2022) 5:00 pm AEST


Return Date to Students

It is envisaged that feedback will be available within two weeks, or as soon as the marking process is completed. Solutions to this assignment will be made available to students 2 weeks after the due date. Consequently, extension requests greater than 14 days will be denied except under exceptional circumstances.


Weighting
20%

Assessment Criteria

The final Assignment 2 mark is scaled to an assessment weighting out of maximum 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.


Referencing Style

Submission
Online

Submission Instructions
Assignment 2 is uploaded as a single PDF document to the unit Moodle site for MATH11218. Full details are provided on the unit Moodle site.

Learning Outcomes Assessed
  • 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
  • Communicate results, concepts and ideas in context using mathematics as a language
  • Apply mathematical software to visualise, analyse, validate and solve problems.

Examination

Outline
Complete an invigilated examination

Date
During the examination period at a CQUniversity examination centre

Weighting
60%

Length
180 minutes

Minimum mark or grade
Students must score a minimum of 50% of the marks available on the final examination.

Exam Conditions
Open Book

Materials
Dictionary - non-electronic, concise, direct translation only (dictionary must not contain any notes or comments).
Calculator - all non-communicable calculators, including scientific, programmable and graphics calculators are authorised
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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.

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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?