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MATH12222 - Advanced Mathematical Applications

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. 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.


Level Undergraduate
Unit Level 2
Credit Points 6
Student Contribution Band SCA Band 1
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).

Class Timetable View Unit Timetable
Residential School No Residential School

Unit Availabilities from Term 1 - 2022

Term 1 - 2022 Profile

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

This information will not be available until 8 weeks before term.
To see assessment details from an earlier availability, please search via a previous term.

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

Term 1 - 2020 : The overall satisfaction for students in the last offering of this course was 4.1 (on a 5 point Likert scale), based on a 38.1% response rate.

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: Unit evaluation and in-class feedback
More students preferred the old 2 x 1-hour lectures and tutorials each week.
Will keep 2 x 1-hour lectures and tutorials each week in 2020.
Action Taken
The 2 x 1 hour lecture and tutorial format was retained.
Source: Unit evaluation and in-class feedback
Student feedback was received on the textbook, assignment, resources, tutorials and quick response to students' questions.
Continue to provide the current learning and teaching supports.
Action Taken
Maintain this approach to teaching and learning.
Source: Unit evaluation and in-class feedback
Some students pointed out that having the tutorial in a lecture room was not beneficial. Not enough room for textbook, computer and writing book.
Apply for a 'real' tutorial room in 2020.
Action Taken
A suitable tutorial room was scheduled.
Source: Student unit and teaching evaluation
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.
Continue to foster the current learning and teaching environment.
Action Taken
Unit learning Outcomes
This information will not be available until 8 weeks before term.
To see Learning Outcomes from an earlier availability, please search via a previous term.