CQUniversity Unit Profile
MATH13218 Advanced Applications of Mathematics
Advanced Applications of Mathematics
All details in this unit profile for MATH13218 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 apply techniques to solve ordinary differential equations (ODEs) from science, engineering, and business domains. You will study the principles of proving for critical thinking and function analysis for logical reasoning in science, engineering and business applications. In this final mathematics unit in the Bachelor of Education (mathematics minor), you will critically analyse strategies and practices in mathematics teaching and assessment design from selected literature.

Details

Career Level: Undergraduate
Unit Level: Level 3
Credit Points: 6
Student Contribution Band: 7
Fraction of Full-Time Student Load: 0.125

Pre-requisites or Co-requisites

Prerequisites: MATH12224 Calculus B or MATH11219 Applied Calculus

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 - 2021

Online

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: 25%
2. Written Assessment
Weighting: 25%
3. Annotated bibliography
Weighting: 10%
4. Examination
Weighting: 40%

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 Student feedback from the unit evaluation

Feedback

In addition to all teaching and learning resources and support provided, students commented on the content knowledge and pedagogical skills demonstrated, which students (as future math teachers) can learn from.

Recommendation

Continue the realignment and redevelopment of this unit started this term with the new QLD senior math syllabus.

Unit Learning Outcomes
On successful completion of this unit, you will be able to:
  1. Apply principles of proving for critical thinking
  2. Use function analysis for logical reasoning in science, engineering, and business applications
  3. Solve ordinary differential equations with different techniques in science, engineering, and business domains
  4. Critically analyse strategies and practices in mathematics teaching and assessment design from selected literature.
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
1 - Written Assessment - 25%
2 - Written Assessment - 25%
3 - Annotated bibliography - 10%
4 - Examination - 40%

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

Alignment of Assessment Tasks to Graduate Attributes

Assessment Tasks Graduate Attributes
1 2 3 4 5 6 7 8 9
1 - Written Assessment - 25%
2 - Written Assessment - 25%
3 - Annotated bibliography - 10%
4 - Examination - 40%
Textbooks and Resources

Textbooks

There are no required textbooks.

IT Resources

You will need access to the following IT resources:
  • CQUniversity Student Email
  • Internet
  • Unit Website (Moodle)
Referencing Style

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

For further information, see the Assessment Tasks.

Teaching Contacts
William Guo Unit Coordinator
w.guo@cqu.edu.au
Schedule
Week 1 Begin Date: 12 Jul 2021

Module/Topic

Unit introduction

Topic 1: Numerical computation and interpolations

Chapter

Numerical computation and interpolations

Events and Submissions/Topic

Read notes for Topic 1; Complete Week 1 Exercises

Week 2 Begin Date: 19 Jul 2021

Module/Topic

Topic 2: The least squares method 

Chapter

The least squares method and regression

Events and Submissions/Topic

Read notes for Topic 2; Complete Week 2 Exercises

Week 3 Begin Date: 26 Jul 2021

Module/Topic

Topic 3: Introduction to Ordinary Differential Equations (ODEs)

Chapter

Introduction to Ordinary Differential Equations (ODEs)

Events and Submissions/Topic

Read notes for Topic 3; Complete Week 3 Exercises

Week 4 Begin Date: 02 Aug 2021

Module/Topic

Topic 4: First-Order Ordinary Differential Equations

Chapter

First-Order Ordinary Differential Equations

Events and Submissions/Topic

Read notes for Topic 4; Complete Week 4 Exercises

Week 5 Begin Date: 09 Aug 2021

Module/Topic

Topic 5: First-Order Ordinary Differential Equations: Unification

Chapter

Unification of the first-Order linear ODEs

Events and Submissions/Topic

Read notes for Topic 5; Complete Week 5 Exercises

Vacation Week Begin Date: 16 Aug 2021

Module/Topic

Chapter

Events and Submissions/Topic

Week 6 Begin Date: 23 Aug 2021

Module/Topic

Topic 6: Numeric Methods for Ordinary Differential Equations

Chapter

Numeric Methods for Ordinary Differential Equations

Events and Submissions/Topic

Read notes for Topic 6; Complete Week 6 Exercises


Assignment 1 Due: Week 6 Wednesday (25 Aug 2021) 11:59 pm AEST
Week 7 Begin Date: 30 Aug 2021

Module/Topic

Topic 7: 2nd-Order Constant-Coefficient Homogeneous Linear ODEs

Chapter

2nd-Order Constant-Coefficient Homogeneous Linear ODEs

Events and Submissions/Topic

Read notes for Topic 7; Complete Week 7 Exercises

Week 8 Begin Date: 06 Sep 2021

Module/Topic

Topic 8: 2nd-Order Constant-Coefficient Inhomogeneous Linear ODEs

Chapter

2nd-Order Constant-Coefficient Inhomogeneous Linear ODEs

Events and Submissions/Topic

Read notes for Topic 8; Complete Week 8 Exercises

Week 9 Begin Date: 13 Sep 2021

Module/Topic

Topic 9: Introduction to Mathematical Modelling

Chapter

Introduction to Mathematical Modelling

Events and Submissions/Topic

Read notes for Topic 9; Complete Week 9 Exercises

Week 10 Begin Date: 20 Sep 2021

Module/Topic

Literature analysis: Principles and Good Practices of Effective Teaching in Mathematics

Chapter

Selected articles in effective teaching in mathematics

Events and Submissions/Topic

Read the selected articles; prepare annotated bibliography (Part A)


Assignment 2 Due: Week 10 Wednesday (22 Sept 2021) 11:59 pm AEST
Week 11 Begin Date: 27 Sep 2021

Module/Topic

Literature analysis: Strategies and Good Practices in Mathematical Learning Assessment

Chapter

Selected articles in effective mathematical learning assessment

Events and Submissions/Topic

Read the selected articles; prepare annotated bibliography (Part B)

Week 12 Begin Date: 04 Oct 2021

Module/Topic

Exam Preview and Preparation

Chapter

Exam Preview and Preparation

Events and Submissions/Topic

Annotated bibliography Due: Week 12 Friday (8 Oct 2021) 11:59 pm AEST
Review/Exam Week Begin Date: 11 Oct 2021

Module/Topic

Chapter

Events and Submissions/Topic

Exam Week Begin Date: 18 Oct 2021

Module/Topic

Chapter

Events and Submissions/Topic

Assessment Tasks

1 Written Assessment

Assessment Title
Assignment 1

Task Description

This is an individual assignment.

Questions on topics covered in Weeks 1-5. Please see the unit website for the questions in this assignment.


Assessment Due Date

Week 6 Wednesday (25 Aug 2021) 11:59 pm AEST


Return Date to Students

Week 8 Wednesday (8 Sept 2021)

It is envisaged that feedback and solutions will be available in two weeks, or as soon as the process is completed.


Weighting
25%

Assessment Criteria

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.


Referencing Style

Submission
Online

Submission Instructions
Submit one PDF or word file through the Moodle website.

Learning Outcomes Assessed
  • Apply principles of proving for critical thinking
  • Use function analysis for logical reasoning in science, engineering, and business applications


Graduate Attributes
  • Communication
  • Problem Solving
  • Critical Thinking
  • Information Literacy
  • Information Technology Competence

2 Written Assessment

Assessment Title
Assignment 2

Task Description

This is an individual assignment.

Questions on topics covered in Weeks 6-9. Please see the unit website for the questions in this assignment.


Assessment Due Date

Week 10 Wednesday (22 Sept 2021) 11:59 pm AEST


Return Date to Students

Week 12 Wednesday (6 Oct 2021)

It is envisaged that feedback and solutions will be available in two weeks, or as soon as the process is completed.


Weighting
25%

Assessment Criteria

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.


Referencing Style

Submission
Online

Submission Instructions
Submit one PDF or word file through the Moodle website.

Learning Outcomes Assessed
  • Solve ordinary differential equations with different techniques in science, engineering, and business domains


Graduate Attributes
  • Communication
  • Problem Solving
  • Critical Thinking
  • Information Literacy
  • Information Technology Competence

3 Annotated bibliography

Assessment Title
Annotated bibliography

Task Description

This is an individual assignment.

Students will be assigned a few selected references in mathematics teaching and learning assessment for analyzing. The outcomes of analysis should be documented as a concise and insightful report in the form of annotated bibliography for submission.


Assessment Due Date

Week 12 Friday (8 Oct 2021) 11:59 pm AEST

Upon lodging a formal request for extension, students would have a chance to be granted an extension up to two weeks. Should you do so, be aware of potential interference to your exam during this period.


Return Date to Students

Exam Week Friday (22 Oct 2021)

It is envisaged that the feedback and marks will be available as soon as the latest submissions are marked.


Weighting
10%

Assessment Criteria

The final mark for this assignment is out of 10. The report should be comprised of two parts for mathematics teaching and learning assessment, respectively. Each part is expected to be within 500-1000 words. Extra long or far short report is not encouraged as the selected references would focus on certain issues.

Marks are awarded based on: 1) the level of your understanding of the approach, the practice, the experience, the issue, the points or alike proposed/shared/raised in the reference; 2) your OWN comments on or opinions/thoughts/criticism of the reported outcomes (could be methods, conclusions, opinions, positions, claims etc.); 3) your OWN reflection on whether anything reported in the reference would be adoptable to or modifiable for your current or future teaching and learning practices.

Please note that your position (agree, partly agree or disagree) on the reference is not part of the marking criteria. It is your logical discourse, or insightful analysis, or evidence-based articulation that is more important. Simply disagreeing/agreeing to the outcomes of a reference without your own reflection is not good enough.


Referencing Style

Submission
Online

Submission Instructions
Submit one PDF or word file through the Moodle website.

Learning Outcomes Assessed
  • Critically analyse strategies and practices in mathematics teaching and assessment design from selected literature.


Graduate Attributes
  • Communication
  • Problem Solving
  • Critical Thinking
  • Information Literacy
  • Information Technology Competence

Examination

Outline
Complete an invigilated examination

Date
During the examination period, at a CQUniversity examination centre

Weighting
40%

Length
180 minutes

Minimum mark or grade
16 (40% of 40 marks)

Details
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
Open Book
Academic Integrity Statement

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?