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MATH13218 - Advanced Applications of Mathematics

General Information

Unit Synopsis

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. Students 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

Level Undergraduate
Unit Level 3
Credit Points 6
Student Contribution Band 2
Fraction of Full-Time Student Load 0.125
Pre-requisites or Co-requisites

Prerequisites: MATH12224 Calculus and Linear Algebra 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).

Class Timetable View Unit Timetable
Residential School No Residential School

Unit Availabilities from Term 1 - 2020

Term 2 - 2020 Profile
Online
Term 2 - 2021 Profile
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).

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.

Assessment Tasks

Assessment Task Weighting
1. Written Assessment 20%
2. Written Assessment 20%
3. Written Assessment 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 Policy for more details of interim results and final grades

Past Exams

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Previous Feedback

No previous feedback available

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.

Source: Student evaluation
Feedback
Students appreciate timely returned feedback of the assignments.
Recommendation
Continue to provide timely assignment feedback.
Action Taken
The assignment feedback is returned in a timely manner.
Source: Student evaluation
Feedback
Some students prefer less engineering examples used in this unit.
Recommendation
Add more general examples for non-engineering students.
Action Taken
The number of engineering-based examples has been reduced and more general examples have been added.
Source: Student evaluation
Feedback
Assignment feedback could have been delivered in a more timely fashion.
Recommendation
Unit Coordinator to ensure all marks and work returned within two weeks of submission.
Action Taken
Nil.
Source: Student evaluation
Feedback
Students had positive remarks on Assessment Requirements and Unit Expectations
Recommendation
Continue to provide the current learning and teaching supports
Action Taken
Nil.
Source: Unit Coordinator reflection
Feedback
Provide additional supporting communications to students.
Recommendation
Additional weekly communications highlighting unit resources, their availability and expectations for mathematics study will be provided.
Action Taken
Nil.
Unit learning Outcomes

On successful completion of this unit, you will be able to:

  1. Apply interpolation and curve fitting techniques to support the modelling of scientific and 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 - Written Assessment
3 - Written Assessment
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 9
1 - Written Assessment
2 - Written Assessment
3 - Written Assessment
4 - Examination