Bachelor of Mathematics
Overview
This degree is designed to give the graduate a solid foundation in all the skills needed to pursue a career as a professional mathematician or statistician. It is flexible enough to allow students to specialise in an area that is of particular interest, or to gain an introduction to a wide variety of topics. One third of the subjects taken may be from other disciplines, such as computer science, management, finance or science.
Entry Requirements / Assumed Knowledge
Approximate UAI: 75
Assumed knowledge: Any two units of English plus HSC Mathematics (not General Mathematics).
Recommended studies: HSC Mathematics Extension 1.
For entry requirements for students 21 and over or international students, please refer to the relevant prospectus.
Course Requirements
The following requirements for the Bachelor of Mathematics degree are to be read in conjunction with University Course Rule 108.
Students who enrol in Bachelor of Mathematics, must satisfactorily complete at least 144 credit points from either or both the subjects prescribed for the Bachelor or Mathematics and the General Schedule, including:
- MATH187 Mathematics 1A Part 1 and MATH188 Mathematics 1A Part 2
- MATH111 Applied Mathematical Modelling 1 or MATH212 Applied Mathematical Modelling 2
- MATH121 Discrete Mathematics or MATH222 Continuous and Finite Mathematics
- STAT131 Understanding Variation and Uncertainty or STAT231 Probability and Random Variables
- CSCI114 Procedural Programming
- each of the subjects:
MATH201 Multivariate and Vector Calculus
MATH202 Differential Equations 2
MATH203 Linear Algebra
MATH204 Complex Variables and Group Theory
- at least one of the subjects:
MATH212 Applied Mathematical Modelling 2
MATH222 Continuous and Finite Mathematics
STAT231 Probability and Random Variables (not additional to 2 or 3 or 4)
- 300- and/or 400-level subjects from the Mathematics Schedule of subjects with a value of at least:
a) 36 credit points, or
b) 24 credit points, should a major study in Computer Science also be satisfactorily completed, or
c) 30 credit points, should any other major study also be satisfactorily completed
- within requirements 1. to 8., a major study in either Mathematics or Applied Statistics, and
- no more than 60 credit points at the 100-level.
Areas of Major Study
Within the Bachelor of Mathematics, a major study in either Mathematics or Applied Statistics can be combined with a major study in the following disciplines:
- Computer Science
- Economics
- Econometrics
- Accountancy
- Business Information Systems
- Management
- Marketing
- Finance
- Biomedical Sciences
Candidates wishing to major in Mathematics and/or Applied Statistics and a discipline not listed above are advised to first consult with the Sub-Dean of the Faculty of Informatics for verification of their intended program.
Candidates may also study a major in the following areas of science, but this will necessitate completing more than the standard 144 credit points in the degree:
- Biological Sciences
- Chemistry
- Geology
- Human Geography
- Physical Geography
- Geoscience
- Physics
Mathematics Schedule of Subjects
The following subjects are approved for inclusion in the Bachelor of Mathematics degree.
Subjects |
|
Session |
Credit Points |
100-Level |
MATH187 |
Mathematics 1A Part 1 |
Autumn |
6 |
MATH188 |
Mathematics 1A Part 2 |
Spring |
6 |
MATH111 |
Applied Mathematical Modelling 1 |
Spring |
6 |
MATH121 |
Discrete Mathematics |
Autumn |
6 |
CSCI114 |
Procedural Programming |
Autumn/ Spring |
6 |
STAT131 |
Understanding Variation and Uncertainty |
Autumn/ Spring |
6 |
200-Level |
MATH201 |
Multivariate and Vector Calculus |
Autumn |
6 |
MATH202 |
Differential Equations 2 |
Spring |
6 |
MATH203 |
Linear Algebra |
Autumn |
6 |
MATH204 |
Complex Variables and Group Theory |
Spring |
6 |
MATH212 |
Applied Mathematical Modelling 2 |
Spring |
6 |
MATH222 |
Continuous and Finite Mathematics |
Autumn |
6 |
STAT231 |
Probability and Random Variables |
Autumn |
6 |
STAT232 |
Estimation and Hypothesis Testing |
Spring |
6 |
300-Level |
MATH302 |
Differential Equations 3 |
Autumn |
6 |
MATH305 |
Partial Differential Equations |
Spring |
6 |
MATH312 |
Applied Mathematical Modelling 3 |
Autumn |
6 |
MATH313 |
Industrial Mathematical Modelling |
Spring |
6 |
MATH317 |
Financial Calculus and Logistics |
Autumn |
6 |
MATH321 |
Numerical Analysis |
Spring |
6 |
MATH322 |
Algebra |
Autumn |
6 |
MATH323 |
Topology and Chaos |
Spring |
6 |
MATH325 |
Wavelets |
n/o 2006 |
6 |
MATH371 |
Special Topics in Industrial and Applied Mathematics
3 |
n/o 2006 |
6 |
MATH372 |
Special Topics in Mathematical Analysis 3 |
n/o 2006 |
6 |
STAT304 |
Operations Research and Applied Probability |
Autumn |
6 |
STAT332 |
Multiple Regression and Time Series |
Spring |
6 |
STAT333 |
Statistical Inference and Multivariate Analysis |
Spring |
6 |
STAT335 |
Sample Surveys and Experimental Design |
Autumn |
6 |
STAT373 |
Special Topics in Probability and Statistics 3 |
Autumn |
6 |
400-Level |
INFO411 |
Mathematics 4 (Honours) |
Spring |
6 |
INFO412 |
Mathematics 4 (Honours) |
Autumn |
6 |
INFO413 |
Statistics 4 (Honours) |
Spring |
6 |
Honours
A fourth year of study, Honours, is available to students who have achieved a Credit average or better in the BMath. It is a more challenging program that includes a research project. Students who wish to enter the Honours program should obtain the approval of the Honours Coordinator at the end of their third year.
Major Study Areas
MATHEMATICS (code MATH)
Major Study
To satisfy the requirements for a major study in Mathematics, a student shall satisfactorily complete (at a grade of Pass or better) any MATH, STAT or INFO subjects listed in the Mathematics Schedule, to a total of at least 48 credit points; of which at least 18 credit points must be at 200- level and at least 24 credit points must be at 300- level.
The following suggested programs are intended as a guideline only in selecting suitable supplementary subjects to make a reasonable pattern for Mathematics degrees in the various fields of Mathematics.
All candidates are expected to consult with the School and Faculty advisers before committing themselves completely to any particular pattern, whether outlined below or not.
Double Major
A major in Mathematics can be combined with Applied Statistics, Computer Science, Economics, Econometrics, Accountancy, Business Information Systems, Management, Marketing, Finance or Biomedical Sciences. Second major requirements are listed below.
Suggested Program in Industrial and Applied Mathematics
(including Numerical Analysis)
Subjects |
|
Session |
Credit Points |
Year 1 |
|
|
|
MATH187 |
Mathematics 1A Part 1 |
Autumn |
6 |
MATH188 |
Mathematics 1A Part 2 |
Spring |
6 |
MATH111 |
Applied Mathematical Modelling 1 |
Spring |
6 |
MATH121 |
Discrete Mathematics |
Autumn |
6 |
STAT131 |
Understanding Variation and Uncertainty |
Autumn/ Spring |
6 |
CSCI114 |
Procedural Programming |
Autumn/ Spring |
6 |
Plus |
PHYS141 |
Fundamentals of Physics A |
Autumn/ Summer |
6 |
and |
PHYS142 |
Fundamentals of Physics B |
Spring/ Summer |
6 |
or |
Subjects chosen from the Mathematics or
General Schedules |
12 |
Year 2 |
|
|
|
MATH201 |
Multivariate and Vector Calculus |
Autumn |
6 |
MATH202 |
Differential Equations 2 |
Spring |
6 |
MATH203 |
Linear Algebra |
Autumn |
6 |
MATH204 |
Complex Variables and Group Theory |
Spring |
6 |
MATH212 |
Applied Mathematical Modelling 2 |
Spring |
6 |
Plus Subjects chosen from the Mathematics
or General Schedules |
|
18 |
Year 3 |
MATH302 |
Differential Equations 3 |
Autumn |
6 |
MATH305 |
Partial Differential Equations |
Spring |
6 |
Plus at least two of the following subjects: |
MATH312 |
Applied Mathematical Modelling 3 |
Autumn |
6 |
MATH313 |
Industrial Mathematical Modelling |
Spring |
6 |
MATH317 |
Financial Calculus |
Autumn |
6 |
MATH321 |
Numerical Analysis |
Spring |
6 |
Plus Subjects chosen from the Mathematics
Schedule |
12 |
Plus Subjects chosen from the Mathematics
or General Schedules |
12 |
Suggested Program in Mathematical Analysis
Subjects |
|
Session |
Credit Points |
Year 1 |
|
|
|
MATH187 |
Mathematics 1A Part 1 |
Autumn |
6 |
MATH188 |
Mathematics 1A Part 2 |
Spring |
6 |
MATH111 |
Applied Mathematical Modelling 1 |
Spring |
6 |
MATH121 |
Discrete Mathematics |
Autumn |
6 |
STAT131 |
Understanding Variation and Uncertainty |
Autumn/ Spring |
6 |
CSCI114 |
Procedural Programming |
Autumn/ Spring |
6 |
Plus Subjects chosen from the Mathematics
or General Schedules |
|
12 |
Year 2 |
MATH201 |
Multivariate and Vector Calculus |
Autumn |
6 |
MATH202 |
Differential Equations 2 |
Spring |
6 |
MATH203 |
Linear Algebra |
Autumn |
6 |
MATH204 |
Complex Variables and Group Theory |
Spring |
6 |
MATH222 |
Continuous and Finite Mathematics |
Autumn |
6 |
Plus Subjects chosen from the Mathematics
or General Schedules |
|
18 |
Year 3 |
MATH302 |
Differential Equations 3 |
Autumn |
6 |
MATH322 |
Algebra |
Autumn |
6 |
MATH323 |
Topology and Chaos |
Spring |
6 |
MATH325 |
Wavelets |
n/o 2006 |
6 |
Plus Subjects chosen from the Mathematics
Schedule |
12 |
Plus Subjects chosen from the Mathematics
or General Schedules |
12 |
Suggested Program for Mathematics Teaching
Subjects |
|
Session |
Credit Points |
Year 1 |
MATH187 |
Mathematics 1A Part 1 |
Autumn |
6 |
MATH188 |
Mathematics 1A Part 2 |
Spring |
6 |
MATH111 |
Applied Mathematical Modelling 1 |
Spring |
6 |
MATH121 |
Discrete Mathematics |
Autumn |
6 |
STAT131 |
Understanding Variation and Uncertainty |
Autumn/ Spring |
6 |
CSCI114 |
Procedural Programming |
Autumn/ Spring |
6 |
Plus Subjects chosen from the Mathematics
or General Schedules |
12 |
Year 2 |
MATH201 |
Multivariate and Vector Calculus |
Autumn |
6 |
MATH202 |
Differential Equations 2 |
Spring |
6 |
MATH203 |
Linear Algebra |
Autumn |
6 |
MATH204 |
Complex Variables and Group Theory |
Spring |
6 |
Plus 200-level Mathematics subjects chosen
from the Mathematics Schedule |
12 |
Plus Subjects chosen from the Mathematics
or General Schedules |
12 |
Year 3 |
300-level subjects chosen from the Mathematics
Schedule |
36 |
Plus Subjects chosen from the Mathematics
or General Schedules |
12 |
APPLIED STATISTICS (code STAT)
Major Study
To satisfy the requirements for a major study in Applied Statistics, a student shall satisfactorily complete (at a grade of Pass or better) any MATH or STAT subjects listed in the Mathematics Schedule, to a total of at least 48 credit points; of which at least 12 credit points must be at 200- level and must include STAT231 and STAT232; and at least 24 credit points must be of 300- level STAT subjects.
The following suggested program is intended as a guideline only in selecting suitable supplementary subjects to make a reasonable pattern for a major in Applied Statistics.
All candidates are expected to consult with the School and Faculty advisers before committing themselves completely to any particular pattern, whether outlined below or not.
Double Major
A major in Applied Statistics can be combined with Mathematics, Computer Science, Economics, Econometrics, Accountancy, Business Information Systems, Management, Marketing, Finance or Biomedical Sciences. Second major requirements are listed below.
Suggested Program in Applied Statistics
Subjects |
|
Session |
Credit Points |
Year 1 |
MATH187 |
Mathematics 1A Part 1 |
Autumn |
6 |
MATH188 |
Mathematics 1A Part 2 |
Spring |
6 |
MATH111 |
Applied Mathematical Modelling 1 |
Spring |
6 |
MATH121 |
Discrete Mathematics |
Autumn |
6 |
STAT131 |
Understanding Variation and Uncertainty |
Autumn/ Spring |
6 |
CSCI114 |
Procedural Programming |
Autumn/ Spring |
6 |
Plus Subjects chosen from the Mathematics
or General Schedules |
|
12 |
Year 2 |
MATH201 |
Multivariate and Vector Calculus |
Autumn |
6 |
MATH202 |
Differential Equations 2 |
Spring |
6 |
MATH203 |
Linear Algebra |
Autumn |
6 |
MATH204 |
Complex Variables and Group Theory |
Spring |
6 |
STAT231 |
Probability and Random Variables |
Autumn |
6 |
STAT232 |
Estimation and Hypothesis Testing |
Spring |
6 |
Plus Subjects chosen from the Mathematics
or General Schedules |
|
12 |
Year 3 |
STAT304 |
Operations Research and Applied Probability |
Autumn |
6 |
STAT332 |
Multiple Regression and Time Series |
Spring |
6 |
STAT333 |
Statistical Inference and Multivariate Analysis |
Spring |
6 |
STAT335 |
Sample Surveys and Experimental Design |
Autumn |
6 |
Plus subjects chosen from the Mathematics
Schedule |
12 |
Plus Subjects chosen from the Mathematics
or General Schedules |
12 |
Double Major in Mathematics and Applied Statistics
(code MAST)
To satisfy the requirement for a double major in Mathematics and Applied Statistics, a student shall satisfactorily complete at least 24 credit points of 300 level STAT subjects (at a grade of Pass or better) and at least 24 credit points of 300 level MATH subjects (at a grade of Pass or better). Any of the 400 level INFO subjects listed in the Mathematics Schedule may be substituted for a 300 level MATH subject
MATHEMATICS AND COMPUTER SCIENCE (code MA01)
APPLIED STATISTICS AND COMPUTER SCIENCE (code ST01)
This double major requires satisfactory completion of a
major study in Mathematics or Applied Statistics and satisfactory
completion of the following approved 48 credit point major
study in Computer Science:
Subjects |
|
Session |
Credit Points |
CSCI103 |
Algorithms & Problem Solving |
Autumn/ Spring |
6 |
CSCI114 |
Procedural Programming |
Autumn/ Spring |
6 |
CSCI124 |
Applied Programming |
Autumn/ Spring |
6 |
CSCI204 |
The C Family and Unix |
Autumn/ Spring |
6 |
Plus 300-level CSCI subjects |
|
24 |
To ensure a wider range of options at 300-level,
students are advised to undertake at least one additional
CSCI subject at 200-level. |
MATHEMATICS AND ECONOMICS (code MA03)
APPLIED STATISTICS AND ECONOMICS (code ST03)
This double major requires satisfactory completion of a major study in Mathematics or Applied Statistics and satisfactory completion of a major study in Economics, as outlined in the Bachelor of Commerce entry. Note, however, that students are not required to complete the core subjects as listed in the Bachelor of Commerce except where those subjects are prerequisites to subjects in the Economics major. All students must satisfy subject prerequisites except where waivers have been granted.
Alternatively candidates may wish to consider enrolling in the Bachelor of Mathematics and Economics or the Bachelor of Mathematics and Finance.
MATHEMATICS AND ECONOMETRICS (code MA04)
APPLIED STATISTICS AND ECONOMETRICS (code ST04)
This double major requires satisfactory completion of a major study in Mathematics or Applied Statistics and satisfactory completion of the following approved 48 credit point major study in Econometrics.
Subjects |
|
Session |
Credit Points |
ECON221 |
Econometrics |
Autumn |
6 |
ECON231 |
Business Statistics and Forecasting |
Autumn |
6 |
ECON230 |
Quantitative Analysis for Decision Making |
Spring |
6 |
ECON322 |
Mathematical Economics |
Spring |
6 |
ECON327 |
Advanced Econometrics |
Spring |
6 |
Plus 200/300-level Economics subject |
|
6 |
Plus Two 300-level Economics subjects |
|
12 |
MATHEMATICS AND ACCOUNTANCY (code MA05)
APPLIED STATISTICS AND ACCOUNTANCY (code ST05)
This double major requires satisfactory completion of a major study in Mathematics or Applied Statistics, and satisfactory completion of a major study in Accountancy, as outlined in the Bachelor of Commerce entry. Note, however, that students are not required to complete the core subjects as listed in the Bachelor of Commerce, except where those subjects are prerequisites to subjects in the Accountancy major. All students must satisfy subject prerequisites except where waivers have been granted.
MATHEMATICS AND BUSINESS SYSTEMS (code MA06)
APPLIED STATISTICS AND BUSINESS SYSTEMS (code ST06)
This double major requires satisfactory completion of a major study in Mathematics or Applied Statistics, and satisfactory completion of a major study in Business Information Systems, as outlined in the Bachelor of Commerce entry. Note, however, that students are not required to complete the core subjects as listed in the Bachelor of Commerce, except where those subjects are prerequisites to subjects in the Business Information Systems major. All students must satisfy subject prerequisites except where waivers have been granted.
MATHEMATICS AND MANAGEMENT (code MA12)
APPLIED STATISTICS AND MANAGEMENT (code ST12)
This double major requires satisfactory completion of a major study in Mathematics or Applied Statistics, and satisfactory completion of a major study in Management, as outlined in the Bachelor of Commerce entry. Note, however, that students are not required to complete the core subjects as listed in the Bachelor of Commerce, except where those subjects are prerequisites to subjects in the Management major. All students must satisfy subject prerequisites except where waivers have been granted.
MATHEMATICS AND MARKETING (code MA13)
APPLIED STATISTICS AND MARKETING (code ST13)
This double major requires satisfactory completion of a major study in Mathematics or Applied Statistics, and satisfactory completion of a major study in Marketing, as outlined in the Bachelor of Commerce entry. Note, however, that students are not required to complete the core subjects as listed in the Bachelor of Commerce, except where those subjects are prerequisites to subjects in the Marketing major. All students must satisfy subject prerequisites except where waivers have been granted.
MATHEMATICS AND FINANCE (code MA14)
APPLIED STATISTICS AND FINANCE (code ST14)
This double major requires satisfactory completion of a major study in Mathematics or Applied Statistics, and satisfactory completion of a major study in Finance, as outlined in the Bachelor of Commerce entry. Note, however, that students are not required to complete the core subjects as listed in the Bachelor of Commerce, except where those subjects are prerequisites to subjects in the Finance major. All students must satisfy subject prerequisites except where waivers have been granted.
Alternatively candidates may wish to consider enrolling in the Bachelor of Mathematics and Economics or the Bachelor of Mathematics and Finance.
MATHEMATICS AND BIOMEDICAL SCIENCES (code MA15)
APPLIED STATISTICS AND BIOMEDICAL SCIENCES (code ST15)
This double major requires satisfactory completion of a major study in Mathematics or Applied Statistics, and satisfactory completion of the following approved 54-56 credit point major study in Biomedical Science.
Subjects |
|
Session |
Credit Points |
BMS101 |
Systematic Anatomy |
Autumn |
6 |
BMS112 |
Human Physiology 1: Principles and Systems |
Spring |
6 |
BMS202 |
Human Physiology 2: Control Mechanisms |
Autumn |
6 |
BMS242 |
Exercise Physiology |
Spring |
6 |
BMS342 |
Advanced Exercise Physiology |
Autumn |
8 |
BMS344 |
Cardiorespiratory Physiology |
Autumn |
8 |
and either |
BMS211 |
Foundations of Biomechanics |
Autumn |
6 |
or |
BMS352 |
Fundamentals of Neuroscience |
Autumn |
8 |
and either |
BMS341 |
Clinical Biomechanics |
Spring |
8 |
or |
BMS346 |
Motor Control and Dysfunction |
Spring |
8 |
MAJOR STUDIES IN MATHEMATICS/STATISTICS AND VARIOUS
SCIENCES
Students should refer to an Academic Adviser in the school of Maths and Applied Statistics for assistance with choice of subjects.
code MA07 - Mathematics and Biology
code MA08- Mathematics and Chemistry
code MA02- Mathematics and Geography
code MA09 - Mathematics and Geology
code MA10 - Mathematics and Physics
code MA11 - Mathematics and Ecology and Biogeography
code ST07 - Applied Statistics and Biology
code ST08 - Applied Statistics and Chemistry
code ST02 - Applied Statistics and Geography
code ST09 - Applied Statistics and Geology
code ST10 - Applied Statistics and Physics
code ST11 - Applied Statistics and Ecology and Biogeography
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