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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:

  1. MATH187 Mathematics 1A Part 1 and MATH188 Mathematics 1A Part 2
  2. MATH111 Applied Mathematical Modelling 1 or MATH212 Applied Mathematical Modelling 2
  3. MATH121 Discrete Mathematics or MATH222 Continuous and Finite Mathematics
  4. STAT131 Understanding Variation and Uncertainty or STAT231 Probability and Random Variables
  5. CSCI114 Procedural Programming
  6. each of the subjects:
    MATH201 Multivariate and Vector Calculus
    MATH202 Differential Equations 2
    MATH203 Linear Algebra
    MATH204 Complex Variables and Group Theory
  7. 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)
  8. 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

  9. within requirements 1. to 8., a major study in either Mathematics or Applied Statistics, and
  10. 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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