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Major: Applied Mathematics


Applied Mathematics

AMA19V1

Department:
Department of Mathematics and Statistics
Faculty:
Faculty of Science and Engineering

This major must be completed as part of an award. The general requirements for the award must be satisfied in order to graduate.


Requirements for the Major:

Completion of a minimum of 36 credit points including the following prescribed units:

Credit points

100 level

Required
either
or
 
Mathematics IA (3)
 
3
Mathematics IA (Advanced) (3)
 
Required
either
or
 
Mathematics IB (3)
 
3
Mathematics IB (Advanced) (3)
 
Required
either
or
 
Introductory Statistics (3)
 
3
Statistical Data Analysis (3)
 

200 level

Required
either
or
 
Mathematical Techniques (3)
 
3
Applied Mathematics II (3)
 
Required
either
or
 
Mathematics IIA (3)
 
3
Mathematical Methods II (3)
 
Required
either
or
 
Mathematics IIB (3)
 
3
Pure Mathematics II (3)
 
Required
3cp from
 
Applied Statistics (3)
 
 
Probability (3)
 
 
Introduction to Probability (3)
 
 
Computer Simulation (3)
 
3
Operations Research I (3)
 

300 level

Required
either
or
 
Partial Differential Equations (3)
 
3
Applied Mathematics Capstone (3)
 
Required
3cp from
 
Mathematical Theory of Risk (3)
 
 
Geometry and Topology (3)
 
 
Algebra IIIA (3)
 
 
Algebra IIIB (3)
 
 
Real and Functional Analysis (3)
 
 
Algebraic Structures (3)
 
 
Concepts in Geometry and Topology (3)
 
 
Analysis (3)
 
 
Topics in Pure Mathematics (3)
 
 
Techniques in Partial Differential Equations (3)
 
 
Computational Techniques (3)
 
 
Advanced Mathematical Modelling and Optimisation (3)
 
 
Topics in Applied Mathematics (3)
 
3
Classical Electrodynamics (3)
 
Required
9cp from
 
Techniques in Partial Differential Equations (3)
 
 
Computational Techniques (3)
 
 
Mathematical Methods (3)
 
 
 
or
Advanced Mathematical Modelling and Optimisation (3)
 
 
Waves (3)
 
 
 
or
Nonlinear Dynamics and Chaos (3)
 
9
 
or
Topics in Applied Mathematics (3)
 

TOTAL CREDIT POINTS REQUIRED TO SATISFY THIS MAJOR

36
Overview and Aims of the Program Applied Mathematics focuses on the derivation, solution and evaluation of models of the real world. It brings together the rigour of classical mathematics with computational science underpinned by domain knowledge from the physical, biological and engineering sciences. Today’s industries are increasingly seeking graduates with the core skills of modelling, the ability to solve problems, critical and analytical thinking, creativity, the ability to pose new question and to communicate effectively. A major in Applied Mathematics provides graduates with these skills, as well as providing a strong foundation for those who wish to progress to further study. Coupled with Macquarie’s sector-unique PACE program, graduates with a major in Applied Mathematics will be sought after by employers across both the public and private sectors and recognised for their ability to contribute to the solution of the problems of the future.
Graduate Capabilities

The Graduate Capabilities Framework articulates the fundamentals that underpin all of Macquarie’s academic programs. It expresses these as follows:

Cognitive capabilities
(K) discipline specific knowledge and skills
(T) critical, analytical and integrative thinking
(P) problem solving and research capability
(I) creative and innovative


Interpersonal or social capabilities
(C) effective communication
(E) engaged and ethical local and global citizens
(A) socially and environmentally active and responsible

Personal capabilities
(J) capable of professional and personal judgement and initiative
(L) commitment to continuous learning

Program Learning Outcomes By the end of this program it is anticipated you should be able to:
• demonstrate a mastery of the principles, ideas and application of mathematical techniques from Applied Mathematics, Pure Mathematics and Statistics appropriate for a mathematics professional.
• apply knowledge of mathematical fundamentals is across a broad spectrum of applications of interest in Applied Mathematics.
• exhibit a well developed facility with, and an in-depth knowledge of a range of specialised areas in Applied Mathematics.
• derive, solve and evaluate models appropriate to a wide range of mathematical applications.
• make efficient use of appropriate technology to address a wide range of mathematical problems requiring extensive computation and manipulation of data.
• draw on highly developed problem-solving skills suitable for application in a wide range of situations
• communicate abstract mathematical ideas and arguments in a effective and concise manner appropriate to the intended audience.
• contribute effectively as members of multi-disciplinary and multi-cultural teams, with the capacity to be leaders or managers as well as effective team members.
• demonstrate the flexibility required to adapt quickly to changes in the working environment, including the emergence of new methods, technologies and theories.
• recognise ethical issues associated with professional mathematical practice and be equipped to respond appropriately to such issues within a principled and ethical framework.
Learning and Teaching Methods The Major in Applied Mathematics is designed to prepare graduates as ethical professionals for work in industry, research organisations and academia, and the learning and teaching methods are designed to provide students with the opportunity to gain and demonstrate the knowledge, skills and capabilities required for this purpose.

The academics involved with this program are active researchers, which enables them to integrate cutting-edge research into the units that they teach. The majority of the units in this program involve students working through a carefully selected range of problems, projects and activities that provide opportunities to sharpen understanding, develop skills, and explore the application of a variety of techniques relevant to the content of the unit. Communication skills are developed through oral and written presentations designed for a range of audiences.

The theoretical components of units are presented in lectures and develop the underlying theory, in addition to developing analytical and problem solving skills. All units have weekly face-to-face activities. Assignments are used for formative and summative purposes.

The major culminates with a Capstone unit that involves students working on a substantial project of an appropriate degree of complexity for a applied mathematical professional at the commencement of their career. Students work autonomously under the guidance of academic staff. The project allows students to apply the knowledge and skills they have developed in their studies to a substantial problem in an integrated manner.
Assessment Units in the Major in Applied Mathematics use a variety of types of assessment. These assessments are designed not just to test discipline-specific knowledge, but all aspects of professional competency include professional practice, project work, design and communication skills. In addition to formal assessments, students are provided with informal feedback from staff and their peers throughout the program.

Assessment types are very diverse and include:
Assignments – these test the understanding of a learning outcome by means of small size problems
Programming Assignments - allow students to demonstrate their competency in developing programs of varying complexity.
Reports and documents – These can range from small scale professionally presented project reports to the preparation of substantial documents presenting a body of mathematical work.
Oral presentations - these test students ability to communicate the results of their work
Group reports – are used when group projects are conducted.
Final exams - The majority of the units will have a final examination where the ability to synthesize and apply knowledge is assessed.
Quizzes and in-class tests assess student learning part-way through the unit and provide feedback to students on learning progress.
Tutorial assessment – assess students work in formal tutorial sessions where students receive the support of tutors and other staff
Recognition of Prior Learning

Macquarie University may recognise prior formal, informal and non-formal learning for the purpose of granting credit towards, or admission into, a program. The recognition of these forms of learning is enabled by the University’s Recognition of Prior Learning (RPL) Policy (see www.mq.edu.au/policy) and its associated Procedures and Guidelines. The RPL pages contain information on how to apply, links to registers, and the approval processes for recognising prior learning for entry or credit.


Information can be found at: https://mq.edu.au/rpl

Support for Learning

Macquarie University aspires to be an inclusive and supportive community of learners where all students are given the opportunity to meet their academic and personal goals. The University offers a comprehensive range of free and accessible student support services which include academic advice, counselling and psychological services, advocacy services and welfare advice, careers and employment, disability services and academic skills workshops amongst others. There is also a bulk billing medical service located on campus.

Further information can be found at www.students.mq.edu.au/support/

Campus Wellbeing contact details:
Phone: +61 2 9850 7497
Email: campuswellbeing@mq.edu.au
www.students.mq.edu.au/support/wellbeing

Program Standards and Quality

The program is subject to an ongoing comprehensive process of quality review in accordance with a pre-determined schedule that complies with the Higher Education Standards Framework. The review is overseen by Macquarie University's peak academic governance body, the Academic Senate and takes into account feedback received from students, staff and external stakeholders.

Graduate Destinations and Employability The major employment sectors for graduates with an undergraduate degree with a major in Applied Mathematics are:
Education and Training
Professional, scientific and technical services
Financial and insurance services
Public administration and safety
Manufacturing
Retail trade
Health care and social assistance
Transport, postal and warehousing
Wholesale trade
Information, media and telecommunications
Assessment Regulations

This program is subject to Macquarie University regulations, including but not limited to those specified in the Assessment Policy, Academic Honesty Policy, the Final Examination Policy and relevant University Rules. For all approved University policies, procedures, guidelines and schedules visit www.mq.edu.au/policy.

Inherent requirements are the essential components of a course or program necessary for a student to successfully achieve the core learning outcomes of a course or program. Students must meet the inherent requirements to complete their Macquarie University course or program.

Inherent requirements for Macquarie University programs fall under the following categories:

Physical: The physical inherent requirement is to have the physical capabilities to safely and effectively perform the activities necessary to undertake the learning activities and achieve the learning outcomes of an award.

Cognition: The inherent requirement for cognition is possessing the intellectual, conceptual, integrative and quantitative capabilities to undertake the learning activities and achieve the learning outcomes of an award.

Communication: The inherent requirement for communication is the capacity to communicate information, thoughts and ideas through a variety of mediums and with a range of audiences.

Behavioural: The behavioural inherent requirement is the capacity to sustain appropriate behaviour over the duration of units of study to engage in activities necessary to undertake the learning activities and achieve the learning outcomes of an award.

For more information see https://students.mq.edu.au/study/my-study-program/inherent-requirements



2019 Unit Information

When offered:
S1 Day
Prerequisites:
Permission of Executive Dean of Faculty
Corequisites:
None
NCCWs:
HSC Chinese, CHN113, CHN148