CQUniversity Unit Profile
MATH12222 Advanced Mathematical Applications
Advanced Mathematical Applications
All details in this unit profile for MATH12222 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

Techniques of advanced mathematics and applications are developed through a selection of various methods to solve linear and non-linear differential equations in science and engineering. You will study interpolation, curve fitting, and utilise the concepts of linear transformations and interpretation of eigenvalues to analyse a variety of scientific and engineering problems. Numerical methods for solving ordinary differential equations, the Fourier Analysis of periodic and non-periodic functions and partial differential equations with initial and boundary conditions are included. You will communicate results, concepts and ideas using mathematics as a language and be able to document the solution to problems in a way that demonstrates a clear, logical and precise approach.

Details

Career Level: Undergraduate
Unit Level: Level 2
Credit Points: 6
Student Contribution Band: 7
Fraction of Full-Time Student Load: 0.125

Pre-requisites or Co-requisites

Pre-requisite: MATH11219

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 - 2021

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 Student unit and teaching evaluation

Feedback

Students commented favourably upon the support offered by staff, challenge of the assessment, quality of the textbook and Moodle resources available to assist in their studies.

Recommendation

Continue to foster the current learning and teaching environment.

Unit Learning Outcomes
On successful completion of this unit, you will be able to:
  1. Model engineering application problems by applying interpolation and curve fitting techniques
  2. Analyse problems using the concepts of linear transformation and the interpretation of eigenvalues
  3. Use numerical methods to solve ordinary differential equations
  4. Apply Fourier Analysis to periodic and non-periodic functions in the solution of scientific and engineering problems
  5. Solve simple partial differential equations with initial and boundary conditions
  6. Communicate results, concepts and ideas in context using mathematics as a language.
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
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
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 - 20%
2 - Written Assessment - 20%
3 - Examination - 60%
Textbooks and Resources

Textbooks

Prescribed

Advanced Mathematics for Engineering and Applied Sciences Fourth Edition (2019)

Authors: William W. Guo, Yucang Wang
Pearson
Melbourne Melbourne , VIC , Australia
ISBN: 9780655700579
Binding: Paperback

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
Shaminda De Silva Unit Coordinator
s.desilva@cqu.edu.au
Schedule
Week 1 Begin Date: 08 Mar 2021

Module/Topic

Ordinary differential equations (ODEs) - 1

Chapter

Sections 1.1-1.3

Events and Submissions/Topic

Exercises 1.1-1.3

Week 2 Begin Date: 15 Mar 2021

Module/Topic

Ordinary differential equations (ODEs) - 2

Chapter

Section 1.4

Events and Submissions/Topic

Exercises 1.4

Week 3 Begin Date: 22 Mar 2021

Module/Topic

Ordinary differential equations (ODEs) - 3

Chapter

Sections 1.5-1.6

Events and Submissions/Topic

Exercises 1.5-1.6

Week 4 Begin Date: 29 Mar 2021

Module/Topic

Linear algebra and applications - 1

Chapter

Sections 2.1-2.3

Events and Submissions/Topic

Exercises 2.1-2.3

Week 5 Begin Date: 05 Apr 2021

Module/Topic

Linear algebra and applications - 2

Chapter

Section 2.4

Events and Submissions/Topic

Exercises 2.4

Vacation Week Begin Date: 12 Apr 2021

Module/Topic

Chapter

Events and Submissions/Topic

Week 6 Begin Date: 19 Apr 2021

Module/Topic

Laplace transforms - 1

Chapter

  Sections 3.1-3.2

Events and Submissions/Topic

  Exercises 3.1-3.2


Written Assessment Due: Week 6 Thursday (22 Apr 2021) 11:00 pm AEST
Week 7 Begin Date: 26 Apr 2021

Module/Topic

  Laplace transforms - 2

Chapter

  Sections 3.3-3.4

Events and Submissions/Topic

  Exercises 3.3-3.4

Week 8 Begin Date: 03 May 2021

Module/Topic

Numeric methods - 1

Chapter

Sections 4.1-4.2

Events and Submissions/Topic

Exercises 4.1-4.2

Week 9 Begin Date: 10 May 2021

Module/Topic

Numeric methods - 2

Chapter

Sections 4.3-4.4

Events and Submissions/Topic

Exercises 4.3-4.4

Week 10 Begin Date: 17 May 2021

Module/Topic

Fourier series - 1

Chapter

Sections 5.1- 5.2

Events and Submissions/Topic

Exercises 5.1-5.2


Written Assessment Due: Week 10 Thursday (20 May 2021) 11:00 pm AEST
Week 11 Begin Date: 24 May 2021

Module/Topic

Fourier series - 2

Chapter

Sections 5.3-5.4

Events and Submissions/Topic

Exercises 5.3-5.4

Week 12 Begin Date: 31 May 2021

Module/Topic

Partial differential equations (PDEs)

Chapter

Sections 6.1-6.2 + Review

Events and Submissions/Topic

Exercises 6.1

Review/Exam Week Begin Date: 07 Jun 2021

Module/Topic

Chapter

Events and Submissions/Topic

Exam Week Begin Date: 14 Jun 2021

Module/Topic

Chapter

Events and Submissions/Topic

Term Specific Information

Students are expected to view recorded lecture videos for this unit.

There will be weekly tutorial sessions conducted via Zoom and students are expected to participate tutorial sessions. 

Assessment Tasks

1 Written Assessment

Assessment Title
Written Assessment

Task Description

Questions on ODEs and linear algebra covered in Weeks 1-5. Please see the unit website for the questions in this assignment.


Assessment Due Date

Week 6 Thursday (22 Apr 2021) 11:00 pm AEST


Return Date to Students

Week 8 Thursday (6 May 2021)

We strive to release the assessment marks in 2 weeks after due date.


Weighting
20%

Assessment Criteria

This is an individual assignment.

The final mark is out of 20. Questions are from contents covered in Weeks 1-5. 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
Assignment 1 is submitted through Moodle. Submit your answers as a single pdf file by collating all your workings and solutions.

Learning Outcomes Assessed
  • Analyse problems using the concepts of linear transformation and the interpretation of eigenvalues
  • Communicate results, concepts and ideas in context using mathematics as a language.


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

2 Written Assessment

Assessment Title
Written Assessment

Task Description

Questions on Laplace transforms and and Numeric methods covered in Weeks 6-9. Please see the unit website for the questions in this assignment.


Assessment Due Date

Week 10 Thursday (20 May 2021) 11:00 pm AEST


Return Date to Students

Week 12 Thursday (3 Jun 2021)

We strive to release the assessment marks in 2 weeks after due date.


Weighting
20%

Assessment Criteria

This is an individual assignment.

The final mark is out of 20. Questions are from contents covered in Weeks 6-9. 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
Assignment 2 is submitted through Moodle. Submit your answers as a single pdf file by collating all your workings and solutions.

Learning Outcomes Assessed
  • Model engineering application problems by applying interpolation and curve fitting techniques
  • Use numerical methods to solve ordinary differential equations
  • Communicate results, concepts and ideas in context using mathematics as a language.


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

Examination

Outline
Complete an examination

Date
During the University examination period

Weighting
60%

Length
180 minutes

Minimum mark or grade
50%

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?