MATH12222 - Advanced Mathematical Applications
Term 1 - 2017


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.

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. Communication of results, concepts and ideas using mathematics as a language, being able to document the solution to problems in a way that demonstrates a clear, logical and precise approach and working in peer learning teams also feature as appropriate.

Details

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

Pre-requisites or Co-requisites

Pre-requisite: MATH11219

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).

Offerings

Term 1 - 2017
  • Bundaberg
  • Cairns
  • Distance
  • Gladstone
  • Mackay
  • Rockhampton

Website

This unit has a website, within the Moodle system, which is available two weeks before the start of term. It is important that you visit your Moodle site throughout the term. Go to Moodle

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 Task Weighting
1. Written Assessment 20%
2. Group Work 20%
3. Group Work 20%
4. Examination 40%

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 Procedures for more details of interim results and final grades.

All University policies are available on the IMPortal.

You may wish to view these policies:

  • Grades and Results Procedure
  • Assessment Policy and Procedure (Higher Education Coursework)
  • Review of Grade Procedure
  • Academic Misconduct Procedure
  • Monitoring Academic Progress (MAP) Policy and Procedure – Domestic Students
  • Monitoring Academic Progress (MAP) Policy and Procedure – International Students
  • Refund and Excess Payments (Credit Balances) Policy and Procedure
  • Student Feedback – Compliments and Complaints Policy and Procedure
  • Acceptable Use of Information and Communications Technology Facilities and Devices Policy and Procedure

This list is not an exhaustive list of all University policies. The full list of University policies are available on the IMPortal.

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 Source Recommendation
Add a minimum pass percentage to the Exam From engineering staff Will try achieving 40% or higher in the exam and an overall 50% or higher to pass this unit in 2017.
Would like to have weekly 2-hour lecture + 2-hour tutorial, rather than 2 x 1-hour lectures and tutorials each week. Students' and tutor's emails Will try to deliver weekly 2-hour lecture + 2-hour tutorial in 2017.
On successful completion of this unit, you will be able to:
  1. Apply interpolation and curve fitting techniques to support the modelling of engineering applications.
  2. Utilise the concepts of linear transformation and interpretation of eigenvalue problems to analyse problems.
  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. Use mathematics as a language to communicate results, concepts and ideas in context.
  7. Communicate, work and learn together in peer learning teams where appropriate.

Alignment of Assessment Tasks to Learning Outcomes

Assessment Tasks Learning Outcomes
1 2 3 4 5 6 7
1 - Written Assessment            
2 - Group Work        
3 - Group Work  
4 - Examination    

Alignment of Graduate Attributes to Learning Outcomes

  • Introductory Level
  • Intermediate Level
  • Graduate Level
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            

Alignment of Assessment Tasks to Graduate Attributes

  • Introductory Level
  • Intermediate Level
  • Graduate Level
Assessment Tasks Graduate Attributes
1 2 3 4 5 6 7 8
1 - Written Assessment  
2 - Group Work  
3 - Group Work  
4 - Examination        

Corrections

Date Updated Information
06-Jan-2017 13:38
Pearson, the textbook publisher, just informed that the new textbook prescribed for MATH12222 won't be available for Term 1 2017. Therefore, we will keep the 2016 edition of the textbook, "Advanced Mathematics for Engineering and Applied Sciences (3rd ed)" for MATH12222 in 2017.

Prescribed Textbooks

Advanced Mathematics and Applications
Author/s: W.W. Guo & Y. Wang Year: 2017
Edition: Publisher: Pearson
City: Sydney State: NSW
Country: Australia
View textbooks at the CQUniversity Bookshop

IT Resources

You will need access to the following IT resources:
  • Internet
  • CQUniversity Student Email
  • Unit Website (Moodle)
All submissions for this unit must use the Harvard (author-date) referencing style (details can be obtained here). For further information, see the Assessment Tasks below.
Unit CoordinatorWilliam Guo (w.guo@cqu.edu.au)
Note: Check the Term-Specific section for any additional contact information provided by the teaching team
Week Begin Date Module/Topic Chapter Events and Submissions
Week 1 06-03-2017

Ordinary differential equations (ODEs) - 1

Sections 1.1-1.3

Exercises 1.1-1.3

Week 2 13-03-2017

Ordinary differential equations (ODEs) - 2

Section 1.4

Exercises 1.4

Week 3 20-03-2017

Ordinary differential equations (ODEs) - 3

Sections 1.5-1.6

Exercises 1.5-1.6

Week 4 27-03-2017

Laplace transforms - 1

Sections 2.1-2.2

Exercises 2.1-2.2

Written Assessment Due Thursday (30 Mar 17) 11:45 PM AEST
Week 5 03-04-2017

Laplace transforms - 2

Sections 2.3-2.4

Exercises 2.3-2.4

Vacation Week 10-04-2017
Week 6 17-04-2017

Linear algebra and applications - 1

Sections 3.1-3.3

Exercises 3.1-3.3

Week 7 24-04-2017

Linear algebra and applications - 2

Section 3.4

Exercises 3.4

Week 8 01-05-2017

Numeric methods - 1

Sections 4.1-4.2

Exercises 4.1-4.2

Written Assessment Due Thursday (04 May 17) 11:45 PM AEST
Week 9 08-05-2017

Numeric methods - 2

Sections 4.3-4.4

Exercises 4.3-4.4

Week 10 15-05-2017

Fourier series - 1

Sections 5.1- 5.2

Exercises 5.1-5.2

Week 11 22-05-2017

Fourier series - 2

Sections 5.3-5.4

Exercises 5.3-5.4

Week 12 29-05-2017

Partial differential equations (PDEs)

Sections 6.1-6.2 + Review

Exercises 6.1

Written Assessment Due Thursday (01 Jun 17) 11:45 PM AEST
Review/Exam Week 05-06-2017
Exam Week 12-06-2017

1 Written Assessment

Assessment Title Written Assessment
Task Description

Questions on ODEs covered in Weeks 1-3. Please see the course website for the questions in this assignment.

Assessment Due Date Week 4 Thursday (30-Mar-2017) 11:45 PM AEST
Return Date to Students Week 6 Thursday (20-Apr-2017)
marked assignments are expected to be returned 2 weeks after the submission deadline.
Weighting 20%
Assessment Criteria

This is an individual assignment.

The final mark is out of 20. Questions are from contents covered in Weeks 1-3. 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 Harvard (author-date)
Submission Online

Assignment 1 is submitted through Moodle.

Learning Outcomes Assessed
This section can be expanded to view the assessed learning outcomes

6. Use mathematics as a language to communicate results, concepts and ideas in context.

Graduate Attributes
This section can be expanded to view the assessed graduate attributes

1. Communication

2. Problem Solving

3. Critical Thinking

4. Information Literacy

6. Information Technology Competence

7. Cross Cultural Competence

8. Ethical practice



2 Group Work

Assessment Title Written Assessment
Task Description

Questions on Laplace transforms, linear algebra and applications covered in Weeks 4-7. Please see the course website for the questions in this assignment.

Assessment Due Date Week 8 Thursday (04-May-2017) 11:45 PM AEST
Return Date to Students Week 10 Thursday (18-May-2017)
marked assignments are expected to be returned 2 weeks after the submission deadline.
Weighting 20%
Assessment Criteria

This is a group assignment. Groups of up to five (5) students are encouraged.

The final mark is out of 20. Questions are from contents covered in Weeks 4-7. 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 Harvard (author-date)
Submission Online
Group submission

Assignment is uploaded by only one student from each group as a single document on Moodle. Please use the cover sheet provided on the course site for this assignment.

Learning Outcomes Assessed
This section can be expanded to view the assessed learning outcomes

2. Utilise the concepts of linear transformation and interpretation of eigenvalue problems to analyse problems.

6. Use mathematics as a language to communicate results, concepts and ideas in context.

7. Communicate, work and learn together in peer learning teams where appropriate.

Graduate Attributes
This section can be expanded to view the assessed graduate attributes

1. Communication

2. Problem Solving

3. Critical Thinking

4. Information Literacy

5. Team Work

6. Information Technology Competence

8. Ethical practice



3 Group Work

Assessment Title Written Assessment
Task Description

Questions on Numeric methods and Fourier series covered in Weeks 8-11. Please see the course website for the questions in this assignment.

Assessment Due Date Week 12 Thursday (01-Jun-2017) 11:45 PM AEST
Return Date to Students It is envisaged that feedback and solutions will be available prior to sitting the standard examination.
Weighting 20%
Assessment Criteria

This is a group assignment. Groups of up to five (5) students are encouraged.

The final mark is out of 20. Questions are from contents covered in Weeks 8-11. 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 Harvard (author-date)
Submission Online
Group submission

Assignment is uploaded by only one student from each group as a single document on Moodle. Please use the cover sheet provided on the course site for this assignment.

Learning Outcomes Assessed
This section can be expanded to view the assessed learning outcomes

1. Apply interpolation and curve fitting techniques to support the modelling of engineering applications.

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. Use mathematics as a language to communicate results, concepts and ideas in context.

7. Communicate, work and learn together in peer learning teams where appropriate.

Graduate Attributes
This section can be expanded to view the assessed graduate attributes

1. Communication

2. Problem Solving

3. Critical Thinking

4. Information Literacy

5. Team Work

6. Information Technology Competence

8. Ethical practice



Examination

Outline Complete an examination
Date During the University examination period
Weighting 40%
Condition Minimum percentage of examination marks required to pass course - 40%
Length 180 minutes
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
Learning Outcomes Assessed
This section can be expanded to view the assessed learning outcomes

1. Apply interpolation and curve fitting techniques to support the modelling of engineering applications.

2. Utilise the concepts of linear transformation and interpretation of eigenvalue problems to analyse problems.

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.

6. Use mathematics as a language to communicate results, concepts and ideas in context.

Graduate Attributes
This section can be expanded to view the assessed graduate attributes

1. Communication

2. Problem Solving

3. Critical Thinking

8. Ethical practice


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