Mathematics and Statistics major
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) appreciate abstract ideas, rigour and logical deduction; (b) demonstrate exposure to axiomatic systems and the fundamentals of mathematics; (c) establish the truth of a statement and write correct and convincing proofs; (2) applied mathematics—(a) appreciate the power of mathematics to model and understand the real world; (b) demonstrate exposure to 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 understand the applicability of the mathematical solution to the original problem; and (3) statistics—(a) appreciate the collection, visual presentation and the analysis and interpretation of data from a wide range of sources; (b) understand 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 and fit appropriate mathematical/statistical models of data generating mechanisms; (e) use modern statistical computing packages for statistical analysis and simulation.
Degree-specific major
Mathematics and Statistics can be taken as a degree-specific major in the following degree courses:
BP004 Bachelor of Science
BH005 Bachelor of Philosophy (Honours)
Overview of unit sequence
Mathematics and Statistics is a degree-specific single major comprising:
- two Level 1 units
- two Level 2 units
- four Level 3 units
- one Level 1 complementary unit
| Key to availability of units: |
|---|
| S1 = Semester 1; S2 = Semester 2 |
Level 1
Take all units (12 points):
| Availability | Unit code | Unit name | unit requirements |
|---|---|---|---|
| S1, S2 | MATH1011 | Multivariable Calculus | |
| S1, S2 | MATH1012 | Mathematical Theory and Methods |
Take complementary unit to the value of 6 points from this group.
| Availability | Unit code | Unit name | unit requirements |
|---|---|---|---|
| S1 | SCOM1101 | Communicating Science |
|
Level 2
Take unit(s) to the value of 12 points:
| Availability | Unit code | Unit name | unit requirements |
|---|---|---|---|
| S1 | MATH2021 | Introduction to Applied Mathematics | |
| S1 | MATH2031 | Introduction to Pure Mathematics | |
| S2 | STAT2062 | Fundamentals of Probability with Applications |
|
Level 3
Take unit(s) to the value of 24 points:
| Availability | Unit code | Unit name | unit requirements |
|---|---|---|---|
| S1 | MATH3002 | Network Science |
|
| S1 | MATH3021 | Nonlinear Dynamics and Chaos |
|
| S2 | MATH3022 | Scientific and Industrial Modelling |
|
| S2 | MATH3024 | Complex Systems |
|
| S1 | MATH3031 | Algebraic Structures and Symmetry |
|
| S2 | MATH3032 | Topology and Analysis |
|
| S2 | MATH3033 | Geometry |
|
| S1 | STAT3061 | Random Processes and their Applications |
|
| S1 | STAT3062 | Statistical Science |
|
| S2 | STAT3063 | Spatial Statistics and Modelling |
|
Choosing your degree-specific major
You must satisfy the requirements of a degree-specific major before you complete your course. The flexible structure of an undergraduate course allows you to try out a number of different subjects to see what interests you before nominating your degree-specific major. You have the choice to either nominate your degree-specific major when you first enrol in the course or delay nominating it until your second year.
To plan the first year of your study without nominating a degree-specific major, you are advised to choose units that will pave the way to two or more degree-specific majors that are of interest to you. For examples of the choice of units available in first year, search the first-year study plans .
To fully understand the structure of an undergraduate course, read the course structure information and the Undergraduate Degree Course Rules.
The following example illustrates how the Mathematics and Statistics degree-specific major can be included in the Bachelor of Science course.
There are more choices open to you. For more examples, search the study plans .
Choosing a second major
You also have the option to choose a second major from those available in the Bachelor of Arts, Bachelor of Biomedical Science, Bachelor of Commerce, Bachelor of Design Only available to re-enrolling students. or Bachelor of Science course, giving you the opportunity to pursue your interests no matter how different they are.
The following example illustrates how the Mathematics and Statistics degree-specific major can be combined with a second major in the Bachelor of Science course.
For more examples of combinations of majors, search the study plans .
Mathematics and Statistics can also be taken as a second major.
Second major
Mathematics and Statistics can be taken as a second major in the following degree courses:
- BP001 Bachelor of Arts
- BP006 Bachelor of Biomedical Science
- BP002 Bachelor of Commerce
- BP003 Bachelor of Design Only available to re-enrolling students.
- BP004 Bachelor of Science
- BH005 Bachelor of Philosophy (Honours)
Overview of unit sequence
The Mathematics and Statistics second major is a single major comprising:
- two Level 1 units
- two Level 2 units
- four Level 3 units
| Key to availability of units: |
|---|
| S1 = Semester 1; S2 = Semester 2 |
Level 1
Take all units (12 points):
| Availability | Unit code | Unit name | unit requirements |
|---|---|---|---|
| S1, S2 | MATH1011 | Multivariable Calculus | |
| S1, S2 | MATH1012 | Mathematical Theory and Methods |
Level 2
Take unit(s) to the value of 12 points:
| Availability | Unit code | Unit name | unit requirements |
|---|---|---|---|
| S1 | MATH2021 | Introduction to Applied Mathematics | |
| S1 | MATH2031 | Introduction to Pure Mathematics | |
| S2 | STAT2062 | Fundamentals of Probability with Applications |
|
Level 3
Take unit(s) to the value of 24 points:
| Availability | Unit code | Unit name | unit requirements |
|---|---|---|---|
| S1 | MATH3002 | Network Science |
|
| S1 | MATH3021 | Nonlinear Dynamics and Chaos |
|
| S2 | MATH3022 | Scientific and Industrial Modelling |
|
| S2 | MATH3024 | Complex Systems |
|
| S1 | MATH3031 | Algebraic Structures and Symmetry |
|
| S2 | MATH3032 | Topology and Analysis |
|
| S2 | MATH3033 | Geometry |
|
| S1 | STAT3061 | Random Processes and their Applications |
|
| S1 | STAT3062 | Statistical Science |
|
| S2 | STAT3063 | Spatial Statistics and Modelling |
|
Choosing a second major
The flexible structure of an undergraduate course allows you the option of including a second major. You have the choice to either nominate your second major when you first enrol in the course or delay it until your second year. For a major to be recorded on your academic record it must be nominated before the requirements of the course are completed.
To fully understand the structure of an undergraduate course, read the course structure information and the Undergraduate Degree Course Rules.
The following example illustrates how Mathematics and Statistics can be included as a second major in an undergraduate degree course.
For more examples of combinations of majors, search the study plans .
Mathematics and Statistics can also be taken as a degree-specific major.