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MAT8180 Mathematics/Statistics Complementary Studies A

Semester 1, 2020 On-campus Toowoomba
Short Description: Maths/Stats Comple'y Studies A
Units : 1
Faculty or Section : Faculty of Health, Engineering and Sciences
School or Department : School of Sciences
Student contribution band : Band 2
ASCED code : 010199 - Mathematical Sciences not else
Grading basis : Graded


Examiner: Trevor Langlands

Other requisites

Enrolment in this course is only available to students in Honours and some Postgraduate programs and such enrolment requires a supervisor and the permission of the examiner and the appropriate Program Coordinator. Depending on the topic chosen, some students may need to have successfully completed prerequisite courses.


This course provides flexibility in honours and postgraduate programs to cater for the widely varying interests and chosen specialisations of students. Mathematicians need to be proficient in a wide range of mathematical concepts and techniques. Many of these are either only touched on or omitted from undergraduate programs. An opportunity to broaden the students' knowledge-base with more advanced concepts and techniques is provided in this course.


This course provides the opportunity for a student to pursue an area of study that will complement the other studies in the student's program. Typically the course will consist of specialised investigations extending knowledge and skills in one of the areas listed in the Topics section below, or another Topic where appropriate and where a supervisor is available.


On successful completion of this course students will be able to:

  1. demonstrate advanced knowledge and skills in the complementary study area.


Description Weighting(%)
1. Students should nominate the topic they wish to study; and then email the Course Examiner to enquire whether the topic and a suitable supervisor will be available in their semester of study, and for formal approval to enrol. One of the following topics can be chosen. The content of the course may vary from student to student. The weighting of the sub-topics within this course depends on the topic chosen and will be discussed with the supervisor.
  • Operations Research: This topic introduces and extends upon the methods and theory in Operations Research 2 MAT3201. Topics include inventory control theory, Markov Chains, Queuing theory, Dynamic programming and Simulation. Concepts in simulation are developed through the design of probabilistic simulation models for inventory and queueing problems. (This topic is not compatible with MAT3201)
  • Partial Differential Equations: PDEs are widely used as models of physical, biological and chemical processes as well as to simulate financial markets. This course introduces and extends the methods and theory in Harmony of Partial Differential Equations. Topics covered included: basic PDEs such as heat and wave equations, describes their properties, gives general solving methods and contains brief introduction to non-linear PDEs (note this course is not compatible with MAT3105)
  • Mathematics Education: This course is designed for students interested in expanding their knowledge in one or more areas of mathematics education. Topics could include: the role of language in learning and understanding mathematics; issues in adult, academic and everyday numeracy; fundamental constructs in mathematics education; history and philosophy of mathematics.
  • Wavelet Transformation and Artificial Neural Network in Environmental Modelling: Develop ANN models for predictive modelling and further apply wavelet transformation to enhance the performance of the forecasted values. In this context, the topic will (1) explore the basic theory of ANN and WT algorithm; (2) develop an ANN and a wavelet-hybrid ANN hybrid model; (3) analyse environmental data, generate simulations, and assess the model’s accuracy. Some programming in MATLAB, R or Python is assumed.
  • Algebra and Calculus: This course covers and extends on topics of Algebra and Calculus II (MAT2100) such as ordinary differential equations, Fourier series, multivariable calculus, eigenvalues, line integrals (note this course is not compatible with MAT2100 or ENM2600).
  • Numerical Computation is used to determine approximate solutions to complex physical problems, which occur in: Finance, Astrophysics, Fluid dynamics and Atmospheric scent etc. This course introduces and extends the methods covered in MAT2409. Topics may include: Vector coding, MPI algorithms (Parallel Computation), Discrete methods for Differential Equations, Simulation, Shooting methods, and interpolation methods. (This topic is not compatible with MAT2409).

Text and materials required to be purchased or accessed

ALL textbooks and materials available to be purchased can be sourced from USQ's Online Bookshop (unless otherwise stated). (

Please contact us for alternative purchase options from USQ Bookshop. (

Texts to be advised by the student's supervisor.

Reference materials

Reference materials are materials that, if accessed by students, may improve their knowledge and understanding of the material in the course and enrich their learning experience.

Student workload expectations

Activity Hours
Assessments 20.00
Private Study 90.00
Project Work 40.00
Supervisor Consultation 15.00

Assessment details

Description Marks out of Wtg (%) Due Date Notes
ASSIGNMENT 1 40 40 04 Jun 2020
ASSIGNMENT 2 (PROJECT) 60 60 04 Jun 2020

Important assessment information

  1. Attendance requirements:
    It is the students' responsibility to study all material provided to them or required to be accessed by them to maximise their chance of meeting the objectives of the course and to be informed of course-related activities and administration.

  2. Requirements for students to complete each assessment item satisfactorily:
    Requirements for students to complete each assessment item satisfactorily: To satisfactorily complete an individual assessment item a student must achieve at least 50% of the marks or a grade of at least C.

  3. Penalties for late submission of required work:
    Students should refer to the Assessment Procedure (point 4.2.4)

  4. Requirements for student to be awarded a passing grade in the course:
    To be assured of receiving a passing grade a student must achieve at least 50% of the total weighted marks available for the course.

  5. Method used to combine assessment results to attain final grade:
    The final grades for students will be assigned on the basis of the weighted aggregate of the marks obtained for each of the summative assessment items in the course.

  6. Examination information:
    There is no examination in this course.

  7. Examination period when Deferred/Supplementary examinations will be held:
    As there are no examinations in this course, there will be no deferred or supplementary examinations.

  8. University Student Policies:
    Students should read the USQ policies: Definitions, Assessment and Student Academic Misconduct to avoid actions which might contravene University policies and practices. These policies can be found at

Date printed 19 June 2020