Major Overview

Description

Mathematics is humanity's most powerful tool for comprehending the universe and is essential for many fields of modern endeavour such as science, technology, engineering and finance. It also underlies data analysis, forecasting, modelling, decision-making and problem-solving principles. Mathematicians contribute creatively to almost every aspect of modern life. This major will equip you with the mathematical tools and techniques of at least two of the three key disciplines of pure mathematics, applied mathematics and mathematical statistics.

Outcomes

Students are able to (1) pure mathematics—(a) apply abstract reasoning, rigour and logical deduction; (b) demonstrate an understanding of axiomatic systems and the fundamentals of mathematics; (c) establish the truth of a statement; and (d) write correct and convincing proofs; (2) applied mathematics—(a) apply the power of mathematics to model and understand the real world; (b) demonstrate an understanding of continuous and discrete mathematics models, dynamical systems and methods of approximation and simulation; (c) model real-world phenomena in the language of mathematics; (d) reduce a problem to mathematically tractable elements; and (e) evaluate the applicability of a mathematical solution to the original problem; and (3) statistics—(a) apply appropriate techniques to the collection, visual presentation, analysis and interpretation of data from a wide range of sources; (b) explain the mathematical and practical consequences of chance variation in both the source and collection of data and how to make decisions taking these factors into account; (c) model real-world phenomena involving unpredictable variation in the language of mathematics; (d) select appropriate mathematical/statistical models of data generating mechanisms; (e) use modern statistical computing packages for statistical analysis and simulation.

Broadening guidelines

All students studying towards a Bachelor's Degree at UWA are required to Broaden their studies by completing a minimum of four units (24 points) of study outside their degree specific major. Broadening is your opportunity to explore other areas of interest, investigate new disciplines and knowledge paradigms and to shape your degree to suit your own aspirations and interests. Many of you will be able to undertake more than this minimum amount of broadening study and we encourage you to do so if this suits your aspirations. Over the next few months you will find here some broadening suggestions related to your degree-specific major. While we know that many students value guidance of this sort, these are only suggestions and students should not lose sight of the opportunity to explore that is afforded by your Broadening Choices. Advice can also be sought from your Allocated Student Advising Office.

Courses

Mathematics and Statistics can be taken as a degree-specific major in the following degree courses:

If you are unsure what else to study alongside this major, please read our Faculty and Industry recommended electives and second majors.

Units

Key to availability of units:
S1
Semester 1
S2
Semester 2

Level 1

Degree-specific major units

Take all units (18 points):

Availability Unit code Unit name unit requirements
S1, S2 MATH1011 Multivariable Calculus
Prerequisites
Mathematics Specialist ATAR
or MATH1722 Mathematics Foundations: Specialist or equivalent
S1, S2 MATH1012 Mathematical Theory and Methods
Prerequisites
Mathematics Specialist ATAR
or MATH1722 Mathematics Foundations: Specialist or equivalent
S1 SCOM1101 Communicating Science
Prerequisites
Successful completion of
ATAR Subject(s) ATAR Mathematics Applications
or ATAR Subject(s) WACE Mathematics 2C/2D or equivalent
Co-requisites
Enrolment in
Or Successful completion of
Unit(s) MATH1720 Mathematics Fundamentals

Level 2

Degree-specific major units

Take all units (18 points):

Availability Unit code Unit name unit requirements
S1 MATH2021 Introduction to Applied Mathematics
Prerequisites
MATH1011 Multivariable Calculus
and MATH1012 Mathematical Theory and Methods
S1 MATH2031 Introduction to Pure Mathematics
Prerequisites
MATH1012 Mathematical Theory and Methods
Co-requisites
MATH1011 Multivariable Calculus
S2 STAT2062 Fundamentals of Probability with Applications
Prerequisites
MATH1011 Multivariable Calculus
and MATH1012 Mathematical Theory and Methods
Incompatibility
STAT2063 Probabilistic Methods and their Applications

Level 3

Degree-specific major units

Take unit(s) to the value of 24 points:

Units are offered in the following sub-disciplines: Applied Mathematics: MATH3021, MATH3022, MATH3024. Pure Mathematics: MATH3031, MATH3032, MATH3033. Statistics and Probability: STAT3061, STAT3062, STAT3063. Students intending to take Honours in Mathematics and Statistics should check that they will have the correct prerequisites for their desired specialisation.

Units are offered in the following sub-disciplines: Applied Mathematics: MATH3021, MATH3022, MATH3024. Pure Mathematics: MATH3031, MATH3032, MATH3033. Statistics and Probability: STAT3061, STAT3062, STAT3063. Students intending to take Honours in Mathematics and Statistics should check that they will have the correct prerequisites for their desired specialisation.

Availability Unit code Unit name unit requirements
S1 MATH3002 Network Science
Prerequisites
MATH1012 Mathematical Theory and Methods
S1 MATH3021 Nonlinear Dynamics and Chaos
Prerequisites
MATH2021 Introduction to Applied Mathematics
S2 MATH3022 Scientific and Industrial Modelling
Prerequisites
MATH2021 Introduction to Applied Mathematics
S2 MATH3024 Complex Systems
Prerequisites
MATH2021 Introduction to Applied Mathematics
S1 MATH3031 Algebraic Structures and Symmetry
Prerequisites
MATH2031 Introduction to Pure Mathematics
S2 MATH3032 Topology and Analysis
Prerequisites
MATH2031 Introduction to Pure Mathematics
S2 MATH3033 Geometry
Prerequisites
MATH2031 Introduction to Pure Mathematics
S1 STAT3061 Random Processes and their Applications
Prerequisites
Enrolment in MJD-MTHST Mathematics and Statistics
STAT2062 Fundamentals of Probability with Applications
or STAT2063 Probabilistic Methods and their Applications
S1 STAT3062 Statistical Science
Prerequisites
Enrolment in MJD-MTHST Mathematics and Statistics and
STAT2062 Fundamentals of Probability with Applications
or STAT2063 Probabilistic Methods and their Applications
S2 STAT3063 Spatial Statistics and Modelling
Prerequisites
Enrolment in MJD-MTHST Mathematics and Statistics and
STAT2062 Fundamentals of Probability with Applications
or STAT2063 Probabilistic Methods and their Applications
S2 STAT3064 Statistical Learning
Prerequisites
Enrolment in
MJD-CDSDM Computing and Data Science
or MJD-MTHST Mathematics and Statistics
or MJD-DATSC Data Science
or MJD-HSDEM Human Sciences and Data Analytics
and
STAT2401 Analysis of Experiments
and STAT2402 Analysis of Observations
or
STAT2062 Fundamentals of Probability with Applications
or STAT2063 Probabilistic Methods and their Applications
Incompatibility
STAT4067 Applied Statistics and Data Visualisation
and STAT5061 Statistical Data Science