Mathematics (MATH)

MATH 0002  Foundations of Mathematics (WSTC)  (10 Credit Points)  
Legacy Code: 900055  

Foundations of Mathematics is designed to develop knowledge, understanding and skills in Mathematics to a level, which is appropriate for day-to-day life and also as a basis for further study at university entrance level. The course aims to build on existing skills, develop skills in new areas and encourage students' confidence in their own ability.

Level: Undergraduate Level 0 Preparatory subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0003  Introductory Business Mathematics (WSTC)  (10 Credit Points)  
Legacy Code: 900114  

This unit consists of two modules. The first module has been designed to provide a revision of basic mathematical concepts and methods that apply to business situations. They include basic mathematical operations, percentages, equations, index numbers, logarithms, direct and inverse variation, and graphs. The second module has been designed to provide students with the necessary skills for making practical financial decisions. The concepts taught include simple interest, compound interest, annuities and their applications as they apply in a business environment.

Level: Undergraduate Level 0 Preparatory subject  
Equivalent Subjects: MATH 0007 - Mathematics 1  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0004  Mathematics (WSTC Prep)  (10 Credit Points)  
Legacy Code: 700044  

The Mathematics unit is designed and written to prepare students for further mathematical study at first year university level. It provides a comprehensive introduction to the study of calculus and its applications in the real world. The unit develops those skills peculiar to the mathematical requirements of further study in the areas of Business, Computing, Information Technology, Science and Engineering.

Level: Undergraduate Level 0 Preparatory subject  
Equivalent Subjects: MATH 0005 - Mathematics (UWSC)  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0005  Mathematics (WSTC)  (10 Credit Points)  
Legacy Code: 900032  

The Mathematics unit is designed and written to prepare students for further mathematical study at first year university level. It provides a comprehensive introduction to the study of calculus and its applications in the real world. The unit develops those skills peculiar to the mathematical requirements of further study in the areas of Business, Computing, Information Technology, Science and Engineering.

Level: Undergraduate Level 0 Preparatory subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0006  Mathematics 1 (WSTC Prep)  (10 Credit Points)  
Legacy Code: 700284  

This unit has been designed to enhance students' numeracy skills and their understanding of basic mathematical concepts taught in high school mathematics. The topics include arithmetic and algebra, elementary functions, and basic geometry and trigonometry. The unit will prepare students and help them follow more advanced topics in Mathematics 2, Mathematics for Engineers Preliminary and Mathematics for Engineers 1, as well as various other Engineering and ICT units.

Level: Undergraduate Level 0 Preparatory subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0007  Mathematics 1 (WSTC)  (10 Credit Points)  
Legacy Code: 900085  
Level: Undergraduate Level 0 Preparatory subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0008  Mathematics 2 (WSTC Prep)  (10 Credit Points)  
Legacy Code: 700146  

This unit has been specifically designed for students who need to refresh or upgrade their understanding of basic mathematical concepts taught in high school mathematics. The topics include basic arithmetic and algebra, elementary functions, geometry, trigonometry and coordinate geometry.

Level: Undergraduate Level 0 Preparatory subject  
Pre-requisite(s): Students enrolled in 7162 Diploma in Engineering Extended 7138 Diploma in Information and Communication Technology Extended - ICT 7139 Diploma in Information and Communication Technology Extended 7140 Diploma in Information and Communication Technology Extended – Information Systems and 7141 Diploma in Information and Communication Technology (Health Information Management) Extended must pass MATH 0006 Mathematics 1 prior ro enrolling in this unit  
Equivalent Subjects: MATH 0009 - Mathematics 2 (UWSC)  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0009  Mathematics 2 (WSTC)  (10 Credit Points)  
Legacy Code: 900086  

This unit has been specifically designed for students who need to refresh or upgrade their understanding of basic mathematical concepts taught in high school mathematics. The topics include basic arithmetic and algebra, elementary functions, geometry, trigonometry and coordinate geometry.

Level: Undergraduate Level 0 Preparatory subject  
Equivalent Subjects: MATH 0008 - Mathematics 2 (WSTC Prep)  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0010  Mathematics 3 (WSTC Prep)  (10 Credit Points)  
Legacy Code: 700203  

This unit is designed to prepare students for further mathematical study at first year university level. It provides a comprehensive introduction to the study of calculus and its applications in the real world. The concepts studied also include arithmetic and geometric series, trigonometry, inverse trigonometric functions, vectors and matrices.

Level: Undergraduate Level 0 Preparatory subject  
Pre-requisite(s): MATH 0008  
Equivalent Subjects: MATH 0011 - Mathematics 3 (UWSC)  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0011  Mathematics 3 (WSTC)  (10 Credit Points)  
Legacy Code: 900087  
Level: Undergraduate Level 0 Preparatory subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0012  Mathematics B (WSTC Prep)  (10 Credit Points)  
Legacy Code: 700069  

This unit is replaced by 700146 - Foundation Mathematics 2 (UWSCFS) from Term 1 2014. This unit has been specifically designed for students who need to refresh or upgrade their understanding of basic mathematical concepts taught in high school mathematics. The topics include basic arithmetic and algebra, geometry, trigonometry, coordinate geometry, quadratic functions, indices, logarithms and an introduction to differential calculus.

Level: Undergraduate Level 0 Preparatory subject  
Equivalent Subjects: MATH 0013 - Mathematics B  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0013  Mathematics B (WSTC)  (10 Credit Points)  
Legacy Code: 900033  

The Mathematics B course is designed and written to prepare students for further mathematical study at first year university level in courses that do not demand an in-depth study of Calculus. The course particularly develops those skills peculiar to the mathematical requirements of further study in the area of Business, Finance and Economics. It is usually studied in conjunction with 'Commercial Mathematics'.

Level: Undergraduate Level 0 Preparatory subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0014  Mathematics C (WSTC Prep)  (10 Credit Points)  
Legacy Code: 700025  

The Mathematics C unit is designed and written to prepare students for mathematical study at first year university level, specifically in the area of Engineering. It provides a comprehensive introduction to the study of calculus and its applications in the real world.

Level: Undergraduate Level 0 Preparatory subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0015  Mathematics Extension (WSTC)  (10 Credit Points)  
Legacy Code: 900034  

The course Mathematics Extension is designed and written to prepare students for further mathematical study at first year university level, particularly in the areas of Science and Engineering. Mathematical concepts developed in the 'Mathematics' course are expanded upon and harder mathematical concepts are introduced. The course develops those skills peculiar to the mathematical requirements of further study in the areas of Computing, Information Technology, Science and Engineering. Undergraduate study in the Physics and Engineering areas of university require the student to have been exposed to the mathematics presented at Extension level.

Level: Undergraduate Level 0 Preparatory subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0017  Mathematics for Health Science (WSTC)  (10 Credit Points)  
Legacy Code: 900088  

This unit is designed to prepare students for further study at university level in the areas of Health Science and, in particular, Nursing. Undergraduate study in Health Science places a particular emphasis on mathematical skills in the workplace and this unit provides a basis for developing those skills. The unit places equal emphasis on both theoretical and practical application of mathematical techniques as would apply in practice in the Health environment.

Level: Undergraduate Level 0 Preparatory subject  
Equivalent Subjects: LGYB 1384 - Mathematics for Nursing (WSTC)  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0018  Maths Start Algebra 1  (10 Credit Points)  
Legacy Code: 900646  
Level: Undergraduate Level 0 Preparatory subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0019  Maths Start Algebra 2  (10 Credit Points)  
Legacy Code: 900647  
Level: Undergraduate Level 0 Preparatory subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0020  Maths Start Calculus  (10 Credit Points)  
Legacy Code: 900648  
Level: Undergraduate Level 0 Preparatory subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0021  Maths Start Preparation for Calculus  (10 Credit Points)  
Legacy Code: 900652  
Level: Undergraduate Level 0 Preparatory subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0022  Maths Start Statistics  (10 Credit Points)  
Legacy Code: 900650  
Level: Undergraduate Level 0 Preparatory subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0023  Maths Start Trigonometry  (10 Credit Points)  
Legacy Code: 900651  
Level: Undergraduate Level 0 Preparatory subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0024  Maths Start for Engineering  (10 Credit Points)  
Legacy Code: 900649  
Level: Undergraduate Level 0 Preparatory subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0025  Nursing Numeracy  (5 Credit Points)  
Legacy Code: 900206  
Level: Undergraduate Level 0 Preparatory subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0026  Practical Mathematics (WSTC)  (10 Credit Points)  
Legacy Code: 900115  

This unit has been designed to develop the students' mathematical literacy and mathematical thinking necessary for further education, work and everyday life. The unit aims to build on existing skills, develop skills in new areas and encourage students' confidence in their own ability by applying mathematical concepts to a series of real life problems.

Level: Undergraduate Level 0 Preparatory subject  
Equivalent Subjects: MATH 0002 - Foundations of Mathematics (WSTC)  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0027  Scientific Methods for Construction Management (WSTC Prep)  (10 Credit Points)  
Legacy Code: 700264  

This unit is designed to assist students to become competent in the fields of mathematics and basic physical science. It reinforces the mathematical skills in the areas of basic arithmetic, algebra, geometry and trigonometry. The unit introduces the study of forces, work and energy and selected applications of these concepts. Emphasis is placed on developing the key competencies of scientific methods to provide the necessary introduction for Building Design and Construction Technology.

Level: Undergraduate Level 0 Preparatory subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0028  Statistics for Academic Purposes (WSTC Prep)  (5 Credit Points)  
Legacy Code: 700045  

Understanding, creating and working with statistics are fundamental skill requirements in many areas and career pathways within the arts, business, science and the humanities disciplines. This unit will provide students with a comprehensive overview of statistics in order to prepare them for success in first year university units of study where they will further develop their skills. Through both individual and group tasks students will use statistics to organize and display data as well as draw valid inferences, based on data, by using appropriate statistical tools.

Level: Undergraduate Level 0 Preparatory subject  
Equivalent Subjects: MATH 0029 - Statistics for Academic Purposes (UWSC)  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0029  Statistics for Academic Purposes (WSTC)  (5 Credit Points)  
Legacy Code: 900011  

Understanding, creating and working with statistics are fundamental skill requirements in many areas and career pathways within the arts, business, science and the humanities disciplines. This unit will provide students with a comprehensive overview of statistics in order to prepare them for success in first year university units of study where they will further develop their skills. Through both individual and group tasks students will use statistics to organize and display data as well as draw valid inferences, based on data, by using appropriate statistical tools.

Level: Undergraduate Level 0 Preparatory subject  
Equivalent Subjects: MATH 0028 Statistics for Academic Purposes (WSTC Prep)  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 0030  Introduction to Building Calculations (WSTC Prep)  (10 Credit Points)  

This unit is designed to assist students to become competent in the field of basic and introductory senior mathematics. It introduces and reinforces mathematical skills in the areas of basic arithmetic, algebra and geometry. Emphasis is placed on developing key competencies in building calculations.

Level: Undergraduate Level 0 Preparatory subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1001  Analysis of Change  (10 Credit Points)  
Legacy Code: 300830  

This Level 1 unit introduces students to the mathematical modelling techniques that are used to formulate and solve problems in the physical and biological sciences. To use these techniques successfully, students must develop the ability to formulate a problem mathematically and then be able to use the appropriate knowledge to test conclusions by analytical and numerical means. These skills will be emphasized as each technique in introduced. Apart from some introductory work on logarithms and exponentials (essential concepts in the sciences), the main techniques developed involve aspects of differential calculus, culminating in the use of differential equations to model real phenomena in the sciences.

Level: Undergraduate Level 1 subject  
Equivalent Subjects: MATH 1011 - Fundamentals of Mathematics LGYB 0484 - Analysis of Change (WSTC)  
Incompatible Subjects: MATH 1014 - Mathematics 1A  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1002  Analytics Programming  (10 Credit Points)  
Legacy Code: 301107  

This subject covers the use of computers and computer programming for Data Science. After briefly considering spreadsheet systems, the subject will consider programming in the statistical system "R" in depth. Finally, other special purpose languages will be touched briefly (eg. SQL).

Level: Undergraduate Level 1 subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1003  Biometry  (10 Credit Points)  
Legacy Code: 200263  

Biometry introduces students to various statistical techniques necessary in scientific endeavours. Presentation of the content will emphasize the correct principles and procedures for collecting and analysing scientific data, using a hands-on approach. Topics include effective methods of gathering data, statistical principles of designing experiments, error analysis, describing different sets of data, probability distributions, statistical inference, non-parametric methods, simple linear regression and analysis of categorical data.

Level: Undergraduate Level 1 subject  
Equivalent Subjects: MATH 1032 - Statistics for Science MATH 1028 - Statistical Decision Making MATH 1030 - Statistics for Business ECON 1006 - Introduction to Economic Methods MATH 1004 - Biometry (WSTC) MATH 1029 - Statistical Decision Making (WSTC) 30123 - Management Analytics  
Incompatible Subjects: MATH 1025 - Quantitative Techniques  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1004  Biometry (WSTC)  (10 Credit Points)  
Legacy Code: 700033  

This unit introduces students to various statistical techniques necessary in scientific endeavours. Presentation of the content will emphasize the correct principles and procedures for collecting and analysing scientific data, using a 'hands-on' approach. Topics include effective methods of gathering data, statistical principles of designing experiments, error analysis, describing different sets of data, probability distributions, statistical inference, non-parametric methods, and simple linear regression and correlation.

Level: Undergraduate Level 1 subject  
Equivalent Subjects: MATH 1030 Statistics for Business ECON 1006 Introduction to Economic Methods MATH 1032 Statistics for Science MATH 1003 Biometry MATH 1028 Statistical Decision Making MATH 1031 Statistics for Business (WSTC) MATH 1029 Statistical Decision Making (WSTC)  
Incompatible Subjects: MATH 1025 Quantitative Techniques  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1006  Discrete Mathematics  (10 Credit Points)  
Legacy Code: 200025  

Discrete Mathematics introduces set theory, symbolic logic, graph theory and some counting techniques. The unit develops mathematical thinking and builds problem solving skills. It provides a solid foundation for further study in mathematics or computing.

Level: Undergraduate Level 1 subject  
Equivalent Subjects: LGYB 0448 - Discrete Mathematics (UWSC)  
Incompatible Subjects: MATH 2004 - Discrete Structures and Complexity  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1010  Fundamentals for Engineering Studies (WSTC AssocD)  (10 Credit Points)  
Legacy Code: 700112  

This unit serves as an introduction to the key mathematics and physics concepts required to study engineering at a tertiary level. This unit has two major components, physics and mathematics. The physics component includes physical quantities, scalars and vectors, kinematics and dynamics. The mathematics component includes basic arithmetic and algebra, trigonometry, coordinate geometry, relations and functions and introduction to differentiation.

Level: Undergraduate Level 1 subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1012  Management Analytics  (10 Credit Points)  
Legacy Code: 301123  

Management Analytics provides students with introductory knowledge and skills in identifying, analysing and interpreting data relevant to Business, Human Resources and Management. In order to develop evidence-based decision-making skills, students will learn how to work with data. Students will organise and summarise data, present data visually and design surveys for new data collection and use. Students will develop skills in understanding decision-making models and forecasting as a means of improving business processes and HR, management and business metrics.

Level: Undergraduate Level 1 subject  
Equivalent Subjects: MATH 1030 Statistics for Business ECON 1006 Introduction to Economic Methods MATH 1028 Statistical Decision Making MATH 1003 Biometry MATH 1032 Statistics for Science MATH 1031 Statistics for Business (WSTC) MATH 1029 Statistical Decision Making (WSTC)  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1014  Mathematics 1A  (10 Credit Points)  
Legacy Code: 300672  

This Level 1 unit provides a solid foundation in the theory and applications of differential calculus, as well as some introductory work on complex numbers. It is the first of two units developing aspects of calculus.

Level: Undergraduate Level 1 subject  
Equivalent Subjects: LGYA 4423 Concepts of Mathematics  
Incompatible Subjects: LGYA 4295 Mathematics for Business MATH 1016 Mathematics for Engineers 1  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1015  Mathematics 1B  (10 Credit Points)  
Legacy Code: 300673  

This Level 1 unit provides a solid foundation in the theory and applications of integral calculus, as well as some introductory work on linear algebra and infinite sequences and series. It is the second of two units developing aspects of calculus.

Level: Undergraduate Level 1 subject  
Pre-requisite(s): MATH 1014  
Equivalent Subjects: LGYA 4423 - Concepts of Mathematics  
Incompatible Subjects: LGYA 4295 - Mathematics for Business MATH 1016 - Mathematics for Engineers 1  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1016  Mathematics for Engineers 1  (10 Credit Points)  
Legacy Code: 200237  

This unit is the first of two mathematics units to be completed by all students enrolled in an engineering degree during their first year of study. The content covers a number of topics that underpin the later-stage engineering mathematics units. The subject matter includes: differential and integral calculus of a single variable, complex numbers, aspects of matrix algebra, vectors, and some elementary statistics and probability theory. The aim of this unit is to introduce a number of key mathematical concepts needed in the study of Engineering, and to provide a solid foundation for the follow-on unit Mathematics for Engineers 2.

Level: Undergraduate Level 1 subject  
Pre-requisite(s): Students enrolled in 3740 Bachelor of Engineering (Honours) or 3689 Bachelor of Engineering must have passed MATH 1021 Mathematics for Engineers Preliminary otherwise permission is required  
Equivalent Subjects: MATH 1007 Engineering Mathematics 1 LGYA 4425 Mathematical Methods A LGYA 4426 Mathematical Methods B MATH 1018 Mathematics for Engineers 1 (WSTC) MATH 1017 Mathematics for Engineers 1 (WSTC Assoc Deg)  
Incompatible Subjects: LGYA 4295 Mathematics for Business LGYA 4423 Concepts of Mathematics MATH 1014 Mathematics 1A MATH 1015 Mathematics 1B  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1017  Mathematics for Engineers 1 (WSTC AssocD)  (10 Credit Points)  
Legacy Code: 700101  

The content of this unit covers a number of topics in mathematics essential to the study of engineering. The subject matter includes: matrix algebra, complex numbers, vectors, functions and inverse functions, differential and integral calculus of a single variable and some elementary statistics and probability theory.

Level: Undergraduate Level 1 subject  
Pre-requisite(s): MATH 1022  
Equivalent Subjects: MATH 1016 - Mathematics for Engineers 1 MATH 1018 - Mathematics for Engineers 1 (WSTC)  
Incompatible Subjects: MATH 1014 - Mathematics 1A MATH 1015 - Mathematics 1B MATH 1011 - Fundamentals of Mathematics MATH 1021 - Mathematics for Engineers Preliminary  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1018  Mathematics for Engineers 1 (WSTC)  (10 Credit Points)  
Legacy Code: 700019  

The content of this unit covers a number of topics that underpin the later-stage engineering mathematics units. The subject matter includes: differential and integral calculus of a single variable, complex numbers, aspects of matrix algebra, vectors and some elementary statistics and probability theory.

Level: Undergraduate Level 1 subject  
Pre-requisite(s): MATH 1023  
Equivalent Subjects: MATH 1016 - Mathematics For Engineers 1 MATH 1017 - Mathematics for Engineers 1 (WSTC Assoc Deg)  
Incompatible Subjects: MATH 1014 - Mathematics 1A MATH 1015 - Mathematics 1B MATH 1011 - Fundamentals of Mathematics  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1019  Mathematics for Engineers 2  (10 Credit Points)  
Legacy Code: 200238  

This unit is the second of two mathematics units to be completed by students enrolled in an Engineering degree during their first year of study. The content covers a number of topics that build on the calculus knowledge from Mathematics for Engineers 1. The subject matter includes: ordinary differential equations, Laplace transforms and multi-variable calculus.

Level: Undergraduate Level 1 subject  
Pre-requisite(s): MATH 1016  
Equivalent Subjects: LGYB 0454 Mathematics for Engineers 2 (WSTC) MATH 1020 Mathematics for Engineers 2 (WSTC Assoc Deg)  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1020  Mathematics for Engineers 2 (WSTC AssocD)  (10 Credit Points)  
Legacy Code: 700102  

The content of this unit covers a number of topics that build on the student's calculus knowledge from Mathematics for Engineers 1. The subject matter includes: ordinary differential equations, Laplace transforms and multi-variable calculus.Offerings of alternate units are dependent on there being sufficient student enrolment numbers. If enrolments are low, the College may cancel delivery of the alternate unit.

Level: Undergraduate Level 1 subject  
Pre-requisite(s): MATH 1017  
Equivalent Subjects: MATH 1019 - Mathematics for Engineers 2 LGYB 0454 - Mathematics for Engineers 2 (WSTC)  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1021  Mathematics for Engineers Preliminary  (10 Credit Points)  
Legacy Code: 300743  

This unit is specifically designed for students enrolling in the Bachelor of Engineering (Honours) and Bachelor of Engineering Science degree courses, who do not have a mathematical background in differential and integral calculus. The content of the unit consists of topics in arithmetic and algebra, trigonometry and trigonometric functions, logarithmic and exponential functions, differential and integral calculus.

Level: Undergraduate Level 1 subject  
Equivalent Subjects: MATH 1023 - Mathematics for Engineers Preliminary (WSTC) MATH 1022 - Mathematics for Engineers Preliminary (WSTC Assoc Deg)  
Incompatible Subjects: LGYA 4425 - Mathematical Methods A MATH 1011 - Fundamentals of Mathematics MATH 1016 - Mathematics for Engineers 1 MATH 1018 - Mathematics for Engineers 1 (WSTC)  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1022  Mathematics for Engineers Preliminary (WSTC AssocD)  (10 Credit Points)  
Legacy Code: 700103  

This unit covers the fundamental mathematical concepts and techniques necessary for the study of Engineering. Topics include Arithmetic and Algebra, Trigonometry, Functions, and Introductory Differential and Integral calculus.

Level: Undergraduate Level 1 subject  
Equivalent Subjects: MATH 1021 - Mathematics for Engineers Preliminary MATH 1023 - Mathematics for Engineers Preliminary (WSTC)  
Incompatible Subjects: MATH 1011 - Fundamentals of Mathematics  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1023  Mathematics for Engineers Preliminary (WSTC)  (10 Credit Points)  
Legacy Code: 700100  

This unit covers the fundamental mathematical concepts and techniques necessary for the study of Engineering. Topics include Arithmetic and Algebra, Trigonometry, Functions, and Introductory Differential and Integral calculus.

Level: Undergraduate Level 1 subject  
Pre-requisite(s): Students enrolled in 6033 Diploma in EngineeringBachelor of Engineering Studies 7034 Diploma in Engineering or 7162 Diploma in Engineering Extended must pass MATH 0008 Mathematics 2 (WSTC Prep) before enrolling in this unit
Students enrolled in 7066 Diploma in Engineering Extended must pass MATH 0010 Mathematics 3 (WSTC Prep) before enrolling in this unit
  
Equivalent Subjects: MATH 1021 - Mathematics for Engineers Preliminary MATH 1022 - Mathematics for Engineers Preliminary (WSTC Assoc Deg)  
Incompatible Subjects: MATH 1011 - Fundamentals of Mathematics  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1026  Quantitative Thinking  (10 Credit Points)  
Legacy Code: 300831  

This level 1 unit develops the quantitative skills that underpin many fields of study in the sciences. The content covered includes basic algebra, functions, graphs, equations, linear and quadratic, introductory probability and descriptive statistics. These mathematical/statistical concepts will be revised and developed using scientific concepts such as molarity and dilution, optical density, population growth, and predator-prey models. In all aspects of this unit, students will be developing and using critical thinking skills to solve mathematical/statistical problems set in a scientific context.

Level: Undergraduate Level 1 subject  
Equivalent Subjects: MATH 1011 - Fundamentals of Mathematics MATH 1027 Quantitative Thinking (WSTC)  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1027  Quantitative Thinking (WSTC)  (10 Credit Points)  
Legacy Code: 700123  

This Level 1 unit develops the quantitative skills that underpin many fields of study in the sciences. The content covered includes basic algebra, functions, graphs, equations - linear and quadratic, introductory probability and descriptive statistics. These mathematical/statistical concepts will be revised and developed using scientific concepts such as molarity and dilution, optical density, population growth, and predator-prey models. In all aspects of this unit, students will be developing and using critical thinking skills to solve mathematical/statistical problems set in a scientific context.

Level: Undergraduate Level 1 subject  
Equivalent Subjects: MATH 1011 - Fundamentals of Mathematics MATH 1026 - Quantitative Thinking  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1028  Statistical Decision Making  (10 Credit Points)  
Legacy Code: 300700  

Statistical Decision Making introduces students to various statistical techniques supporting the study of computing and science. Presentation of the content will emphasize the correct principles and procedures for collecting and analysing scientific data, using information and communication technologies. Topics include describing different sets of data, probability distributions, statistical inference, and simple linear regression and correlation.

Level: Undergraduate Level 1 subject  
Equivalent Subjects: MATH 1032 Statistics for Science MATH 1003 Biometry MATH 1030 Statistics for Business ECON 1006 Introduction to Economic Methods MATH 1012 Management Analytics MATH 1031 Statistics for Business (WSTC) MATH 1004 Biometry (WSTC) MATH 1029 Statistical Decision Making (WSTC)  
Incompatible Subjects: MATH 1025 Quantitative Techniques  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1029  Statistical Decision Making (WSTC)  (10 Credit Points)  
Legacy Code: 700041  

Statistical Decision Making introduces students to various statistical techniques supporting the study of computing and science. Presentation of the content will emphasise the correct principles and procedures for collecting and analysing scientific data, using information and communication technologies. Topics include describing different sets of data, probability distributions, statistical inference and simple linear regression and correlation.

Level: Undergraduate Level 1 subject  
Pre-requisite(s): Students enrolled in 7005 Diploma in Information and Communications Technology 7067 Diploma in Information and Communications Technology Extended 7104 Diploma in Information and Communications Technology (Health Information Management) 7106 Diploma in Information and Communications Technology (Health Information Management) Extended must pass MATH 0028 Statistics for Academic Purposes (WSTC Prep) before enrolling in this unit  
Equivalent Subjects: MATH 1032 - Statistics for Science MATH 1003 - Biometry MATH 1030 - Statistics for Business ECON 1006 - Introduction to Economic Methods MATH 1028 - Statistical Decision Making MATH 1031 - Statistics for Business (WSTC) MATH 1004 - Biometry (WSTC)  
Incompatible Subjects: MATH 1025 - Quantitative Techniques  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1030  Statistics for Business  (10 Credit Points)  
Legacy Code: 200032  

Statistics for Business introduces the basic concepts and techniques of statistics that are particularly relevant to problem solving in business. It also provides a sound base for more advanced study in statistics and forecasting in subsequent sessions. Topics include: presentation of data; descriptive statistics; the role of uncertainty in business decision making; hypothesis testing; and basic forecasting.

Level: Undergraduate Level 1 subject  
Equivalent Subjects: MATH 1032 Statistics for Science MATH 1028 Statistical Decision Making MATH 1003 Biometry ECON 1006 Introduction to Economic Methods MATH 1012 Management Analytics MATH 1031 Statistics for Business (WSTC) MATH 1004 Biometry (WSTC) MATH 1029 Statistical Decision Making (WSTC)  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1031  Statistics for Business (WSTC)  (10 Credit Points)  
Legacy Code: 700007  

Statistics for Business introduces the basic concepts and techniques of statistics that are particularly relevant to problem solving in business. It also provides a sound base for more advanced study in statistics and forecasting in subsequent sessions. Topics include: presentation of data; descriptive statistics; the role of uncertainty in business decision making; hypothesis testing; and basic forecasting.

Level: Undergraduate Level 1 subject  
Pre-requisite(s): For students enrolled in courses 71024 and 7177
BUSM 0029 Decision Making for Business
For students enrolled in courses 7005 7098 71021 71022 and 71023
MATH 0028 Statistics for Academic Purposes (WSTC Prep)
  
Equivalent Subjects: MATH 1030 - Statistics for Business MATH 1032 - Statistics for Science ECON 1006 - Introduction to Economic Methods  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1033  Thinking About Data  (10 Credit Points)  
Legacy Code: 301108  

This subject covers basic concepts of data centric thinking. The main areas discussed are; Populations and Samples; Sampling concepts; Types of Data; Descriptive Methods; Estimation and Inference; Modelling. The subject takes a computational and nonparametric approach, before briefly discussing theoretical concepts and distribution theory.

Level: Undergraduate Level 1 subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1034  Mathematics for Engineers 1 (Advanced)  (10 Credit Points)  
Legacy Code: 301333  

This unit will be offered at Engineering Innovation Hub - Hassall St, Parramatta campus. This unit provides foundational knowledge in key mathematical concepts which are essential for other mathematics units in engineering degrees. The subject matter includes: differential and integral calculus of a single variable, complex numbers, aspects of matrix algebra, vectors, and some elementary statistics and probability theory. In applying maths concepts to problems, students develop analytical thinking and problem solving skills, as well as communication skills to present clear and logical arguments. Students are encouraged to be independent and reflective learners in completing tutorial problems and online assessments.

Level: Undergraduate Level 1 subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1035  Mathematics for Engineers 2 (Advanced)  (10 Credit Points)  
Legacy Code: 301337  

This unit will be offered at Engineering Innovation Hub - Hassall St, Parramatta campus. This unit covers a number of topics that build on calculus knowledge from Mathematics for Engineers 1 (Advanced). Calculus is essential for engineering as it involves studying how things change over small intervals of time and allows for modelling such changes. Topics include ordinary differential equations, Laplace transforms and multi-variable calculus. In applying mathematical concepts to problems, students develop analytical thinking and problem solving skills, as well as communication skills to present clear and logical arguments. Students are encouraged to be independent and reflective learners in completing tutorial problems and online assessments.

Level: Undergraduate Level 1 subject  
Pre-requisite(s): MATH 1034  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 1036  Mathematics for Engineers Preliminary (UG Cert)  (10 Credit Points)  

This unit covers the fundamental mathematical concepts and techniques necessary for the study of Engineering. Topics include Arithmetic and Algebra, Trigonometry, Functions, and Introductory Differential and Integral calculus.

Level: Undergraduate Level 1 subject  
Equivalent Subjects: MATH 1021 Mathematics for Engineers Preliminary MATH 1023 Mathematics for Engineers Preliminary (WSTC) MATH 1022 Mathematics for Engineers Preliminary (WSTC AssocD)  
Incompatible Subjects: LGYA 4425 Mathematical Methods A MATH 1011 Fundamentals of Mathematics MATH 1016 Mathematics for Engineers 1 MATH 1018 Mathematics for Engineers 1 (WSTC)  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 2001  Advanced Calculus  (10 Credit Points)  
Legacy Code: 200028  

This unit is designed for students undertaking studies in mathematics, statistics, operations research and mathematical finance. It provides further mathematical training in the areas of multivariable and vector calculus, which is essential to the understanding of many areas of both pure and applied mathematics.

Level: Undergraduate Level 2 subject  
Pre-requisite(s): MATH 1015  
Equivalent Subjects: LGYA 3785 - Advanced Calculus LGYA 3865 - Mathematics 4 LGYB 9666 - Mathematics 21  
Incompatible Subjects: MATH 1019 - Mathematics for Engineers 2  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 2003  Differential Equations  (10 Credit Points)  
Legacy Code: 200030  

Differential equations arise naturally both in abstract mathematics and in the study of many phenomena. This unit provides the theory of ordinary differential equations and an introduction to partial differential equations together with methods of solution. Examples are drawn from a wide range of biological, chemical, physical and economic applications.

Level: Undergraduate Level 2 subject  
Incompatible Subjects: MATH 1019 - Mathematics for Engineers 2  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 2004  Discrete Structures and Complexity  (10 Credit Points)  
Legacy Code: 300699  

The fact that computers work at all in the way they do is due to the formal mathematical structure that is used in their design. The same holds for establishing important matters such as the reliability of our computer networks. This unit presents, in their computing context, a range of mathematical concepts that are essential for understanding a number of topics concerning computers: the ways they work, they ways they interact, and the ways we interact with them.

Level: Undergraduate Level 2 subject  
Pre-requisite(s): MATH 1028  
Incompatible Subjects: MATH 1006 - Discrete Mathematics  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 2006  Experimental Design and Analysis  (10 Credit Points)  
Legacy Code: 100013  

This unit is driven by the scientific method with a focus on experimental design and related data analysis. Research design and methodology and ethical issues, statistical concepts and techniques, computer analysis of data, and communicating research findings are all features of this unit, which build on the content in its prerequisite.

Level: Undergraduate Level 2 subject  
Pre-requisite(s): For students NOT enrolled in programs 1630 Graduate Diploma in Psychological Studies 1796 Graduate Diploma in Psychology and 1837 Bachelor of Cyber Security and Behaviour - BEHV 1003  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 2009  Introduction to Data Science  (10 Credit Points)  
Legacy Code: 301033  

Analysis of data is essential for scientific investigation, modelling processes and predicting future events. Data Science is the investigation of the tools required that allow us to perform this modelling and prediction. The increase in accessible data over the past few decades has promoted the use of Data Science, making it a desired skill in many professions. In this unit we further investigate the methods of regression, clustering and classification that form the basis of a data scientist's toolbox.

Level: Undergraduate Level 2 subject  
Pre-requisite(s): For students NOT enrolled in 3769 Bachelor of Data Science or 3770 Bachelor of Applied Data Science - MATH 1028 Statistical Decision Making or MATH 1003 Biometry or MATH 1030 Statistics for Business  
Co-requisite(s): For students enrolled in 3769 Bachelor of Data Science or 3770 Bachelor of Applied Data Science - MATH 1033 Thinking About Data  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 2010  Linear Algebra  (10 Credit Points)  
Legacy Code: 200027  

The objective of this unit is to present the main fundamentals of linear algebra and includes such topics as solving systems of linear equations, matrix algebra, determinants, eigenvalues and eigenvectors, Euclidean vector spaces, general vector spaces, inner product spaces and linear transformations.

Level: Undergraduate Level 2 subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 2011  Making Sense of Data  (10 Credit Points)  
Legacy Code: 301032  

The unit builds on the basic statistical concepts introduced in first year, and also prepares students for broader application of statistics for those majoring in science or business. Topics include hypothesis testing; analysis of categorical data; analysis of variance; non-parametric methods; re-sampling (cross validation/bootstrapping); Introduction to visual data analysis; simple Multivariate statistics and sampling and design.

Level: Undergraduate Level 2 subject  
Pre-requisite(s): MATH 1028 OR
MATH 1003 OR
MATH 1030
  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 2012  Mathematics for Engineers 3  (10 Credit Points)  
Legacy Code: 200242  

Students enrolled in Bachelor of Engineering who are yet to successfully complete 200242 Mathematics for Engineers 3, are to seek advice from Dr Jamal Rizk to enable them to complete the course. This unit is a core unit in the Computer, Electrical, or Telecommunications key programmes of the Bachelor of Engineering course. It builds on the first two mathematics units in that course and provides mathematical tools and techniques needed for the above key programmes. The unit covers topics from advanced calculus including vector calculus, complex analysis, Fourier series, heat and wave equations, Fourier integrals and transforms; discrete mathematics including logic and set theory; random variables and random processes including mean, correlation and covariance functions, ergodicity, ensemble averages, and Gaussian processes.

Level: Undergraduate Level 2 subject  
Pre-requisite(s): MATH 1008 OR
MATH 1019
  
Equivalent Subjects: MATH 2005 - Engineering Mathematics 3  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 2013  Object Oriented Analysis (WSTC)  (10 Credit Points)  
Legacy Code: 700039  

The core strength of this unit is to analyse and model business objectives and critical requirements of software systems to be developed using object-oriented (OO) approaches. The system analysis is taken to greater depths within the context of object orientation. The Unified Modelling Language version 2.0 (notably use cases, activity diagrams, class diagrams and sequence diagrams) is used as a modelling standard for creating OO models in the problem space. The unit also covers the rational unified process methodology and applications of design patterns for software development through practical case studies.

Level: Undergraduate Level 2 subject  
Pre-requisite(s): Students enrolled in 7004 Diploma in Information and Communications Technology Fast Track 7005 Diploma in Information and Communications Technology 7067 Diploma in Information and Communications Technology Extended 7134 Diploma in Information and Communications Technology Extended – ICT 7138 Diploma in Information and Communications Technology Extended - ICT 7139 Diploma in Information and Communications Technology Extended 7140 Diploma in Information and Communications Technology Extended - Information Systems 7163 Diploma in Information and Communications Technology 6035 DiplomaBachelor of Information and Communications Technology 6036 Diploma in Information and Communications TechnologyBachelor of Information Systems 6039 DiplomaBachelor of Information and Communications Technology and 6040 Diploma in Information and Communications Technology Bachelor of Information Systems must pass INFS 1007 Systems Analysis and Design before enrolling in this unit  
Equivalent Subjects: INFS 2006 Object Oriented Analysis  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 2014  Visual Analytics  (10 Credit Points)  
Legacy Code: 301109  

This unit introduces the fundamentals and technologies of visual analytics to understand big data. It covers major concepts of information visualisation, human computer perception and methods for visual data analysis. Students will learn knowledge and skills for identifying suitable visual analytics techniques, methods and tools for handling various data sets and applications. The unit provides students with opportunities to explore novel research in visual analytics and visualisation.

Level: Undergraduate Level 2 subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 3001  Abstract Algebra  (10 Credit Points)  
Legacy Code: 200193  

This unit develops algebraic thought to a high level. The abstract concepts involved in the main topics (group theory and number theory) have many applications in science and technology, and the unit includes an application to cryptography.

Level: Undergraduate Level 3 subject  
Pre-requisite(s): MATH 1006  
Equivalent Subjects: LGYA 3893 - Advanced Algebra LGYA 3789 - Algebra 3  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 3003  Analysis  (10 Credit Points)  
Legacy Code: 200023  

Analysis provides the theoretical basis of real and complex numbers, including differentiation and integration. Topics include: field axioms and completeness, sequences, series, convergence, compactness, continuity, differentiability, integrability, and related theorems in both the real and complex number systems.

Level: Undergraduate Level 3 subject  
Pre-requisite(s): MATH 2001  
Equivalent Subjects: LGYA 3794 - Advanced Mathematical Topics  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 3004  Discovery Project  (10 Credit Points)  
Legacy Code: 301111  

In this unit students will gain experience in applying data science skills and using knowledge gained during their bachelor's course of their primary discipline. Students will carry out a real life project transforming data to knowledge under the supervision of an academic mentor. Students will develop a knowledge discovery project proposal and carry out a literature review highlighting the current status of the problem. Assisted by a mentor they will apply the data science skills learned through-out the degree and produce a final discovery project report and/or interactive project tool and give an oral presentation.

Level: Undergraduate Level 3 subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 3005  Environmental Informatics  (10 Credit Points)  
Legacy Code: 301035  

Today, the environment is becoming more and more in the public eye. Methods of environmental monitoring and data analysis are an important source of information for science, business and government regulation. This unit aims to give students a good introduction to environmental informatics and the analysis of spatio-temporal data.

Level: Undergraduate Level 3 subject  
Pre-requisite(s): MATH 1028 OR
MATH 1003 OR
MATH 1030
  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 3006  Mathematical Modelling  (10 Credit Points)  
Legacy Code: 200022  

Mathematical Modelling is about solving real world problems. The real world is a complicated place which we often need or want to understand better. One way to do this is to set up a mathematical model which we hope can provide insights, predictions and a greater understanding of a complex system. Selected real-world problems are approximated by mathematical models that are amenable to being written in terms of linear and non-linear equations or differential equations. Once equations are solved emphasis is placed on interpreting solutions, modifying models as required and using models for prediction.

Level: Undergraduate Level 3 subject  
Pre-requisite(s): MATH 2003  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 3007  Predictive Modelling  (10 Credit Points)  
Legacy Code: 301034  

In this information age, business and science depend on accurate predictions to make informed decisions. Machine learning is the process of allowing a computer to learn from data, which at its heart is used in making these important decisions. This unit provides students with the knowledge and practice required to implement and effectively use these predictive models such as Neural Networks and Support Vector Machines. Students will use the Python programming language throughout this unit.

Level: Undergraduate Level 3 subject  
Pre-requisite(s): For students not enrolled in 3734 Bachelor of Data Science 3769 Bachelor of Data Science or 3770 Bachelor of Applied Data Science - MATH 1028 Statistical Decision Making or MATH 1003 Biometry or MATH 1030 Statistics for Business  
Co-requisite(s): Students in Bachelor of Data Science or Bachelor of Applied Data Science must be enrolled in MATH 1033 Thinking About Data  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 3008  Quantitative Project  (10 Credit Points)  
Legacy Code: 200045  

In this unit, students can deepen or apply knowledge gained during their course and practise verbal and written presentation skills. Students will carry out a project under the supervision of an academic staff member. Assisted by their supervisor, students will define the problem to be studied and then acquire, develop and apply the appropriate theory or methodology. They will prepare a final report presenting theoretical results or methodology, an analysis and a discussion followed by an appropriate conclusion, as well as a literature review or a list of references as appropriate. Students will also give a talk on their project.

Level: Undergraduate Level 3 subject  
Pre-requisite(s): Students must have successfully completed 30 credit points of Level 2 mathematicsstatistics units from MATH 2010 Linear Algebra
MATH 2001 Advanced Calculus
MATH 2003 Differential Equations
COMP 2003 Computer Algebra
MATH 2011 Making Sense of Data
MATH 2009 Introduction to Data Science
Students must also have completed 30 credit points of Level 3 mathematicsstatistics units from MATH 3006 Mathematical Modelling
MATH 3003 Analysis
MATH 3001 Abstract Algebra
COMP 3020 Social Web Analytics
MATH 3007 Predictive Modelling MATH 3005 Environmental Informatics
  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 3011  Probabilistic Models and Inference  (10 Credit Points)  
Legacy Code: 301250  

The unit provides students with an understanding of probabilistic models and inference. It covers model-based approaches for complex systems - from constructing these models to applying information to models. The models, which can be created manually and obtained by learning from data, will also be useful to make decisions under uncertainty. A variety of models and techniques will be discussed; examples include Monte Carlo Methods, Decision Theory, Bayesian networks, Markov networks, and the use of information theory.

Level: Undergraduate Level 3 subject  
Pre-requisite(s): MATH 1002 AND
MATH 1033 OR
MATH 1028
  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 3012  Combinatorics  (10 Credit Points)  

This unit builds upon the knowledge acquired in the prerequisite unit Discrete Mathematics and helps students to develop understanding and mathematical maturity. The unit covers more sophisticated counting techniques, additional concepts in graph theory, and it introduces coding theory. Many applications of these concepts are included, and some combinatorial algorithms are studied. The applications and techniques presented in the unit are used to model systems such as transport networks and social networks, and they have relevance for communication, computing, probability, statistics, and science, and for many everyday problems such as scheduling.

Level: Undergraduate Level 3 subject  
Pre-requisite(s): MATH 1006 AND
MATH 1015
  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 3013  Fields and Equations  (10 Credit Points)  

This unit develops abstract algebraic thought to a higher level. The abstract concepts introduced in the unit, ring theory, field theory and algebraic equations, have many applications in science and technology. The theory of algebraic equations is the study of solutions of polynomial equations. Although the problem originates in explicit manipulations of polynomials, the modern (and far more powerful) treatment is in terms of field extensions. The unit is an introduction to ring theory and field theory; it includes applications to cryptography (RSA) and geometry (proving that it is impossible to trisect an arbitrary angle using only a straightedge and compass).

Level: Undergraduate Level 3 subject  
Pre-requisite(s): MATH 3015  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 3014  Financial Mathematics  (10 Credit Points)  

This unit is an introduction to stochastic calculus and relevant simulation techniques applied to modern finance and the mathematical modelling of financial markets. The core topics developed in the unit are the Ito stochastic integral, Ito's formula, and basic stochastic differential equations, as well as computer simulation techniques with emphasis on Monte Carlo simulations. Some mathematical background is assumed, but the unit will cover any necessary material that is not contained in prerequisites units.

Level: Undergraduate Level 3 subject  
Pre-requisite(s): MATH 1014 AND
MATH 1015 AND
MATH 2010 AND
MATH 2003
  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 3015  Groups and Symmetry  (10 Credit Points)  

This unit develops abstract algebraic thinking to a higher level. The abstract concepts introduced in the unit, the theory of groups and abstract symmetry, have many applications in science and technology. Symmetry plays a role in many different contexts: in crystals, in visual arts, in music and in architecture, to name a few. Analysing and exploiting the symmetries of a particular problem often is the first step towards finding a practical solution to the problem. Group theory is the study of symmetry. This unit develops the language of groups and techniques to understand the structure of groups.

Level: Undergraduate Level 3 subject  
Pre-requisite(s): MATH 1006  
Equivalent Subjects: MATH 3001 Abstract Algebra  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 3016  Mathematics Project  (10 Credit Points)  

In this unit, students can deepen or apply knowledge gained during their course and practise verbal and written presentation skills. Students will carry out a project under the supervision of an academic staff member. Assisted by their supervisor, students will define the problem to be studied and then acquire, develop and apply the appropriate theory or methodology. They will prepare a final report presenting theoretical results or methodology, an analysis and a discussion followed by an appropriate conclusion, as well as a literature review or a list of references as appropriate. Students will also give a talk on their project.

Level: Undergraduate Level 3 subject  
Pre-requisite(s): MATH 3007 Predictive Modelling
MATH 3005 Environmental Informatics
MATH 3015 Groups and Symmetry
MATH 3013 Fields and Equations
MATH 3012 Combinatorics
MATH 3014 Financial Mathematics
Students not enrolled in 3778 must have successfully completed 30 credit points of Level 2 mathematicsstatistics units from the following list
MATH 2010 Linear Algebra
MATH 2001 Advanced Calculus
MATH 2003 Differential Equations
MATH 2011 Making Sense of Data
MATH 2009 Introduction to Data Science
COMP 2023 Mathematical Programming
Students not enrolled in 3778 must also have successfully completed 30 credit points of Level 3 mathematicsstatistics units from the following list
MATH 3006 Mathematical Modelling
MATH 3003 Analysis
MATH 3001 Abstract Algebra
COMP 3020 Social Web Analytics
  
Equivalent Subjects: MATH 3008 Quantitative Project  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 4001  Mathematics Honours Thesis  (20 Credit Points)  

This is a 40 credit point year-long subject taken over two terms (20 credit points in each term). The aim of this subject is to further develop the student's research and problem solving skills. The student is required to implement the research plan, complete a substantive piece of research in the field of Mathematics/Statistics, and to communicate the results of that work to an interested and technically literate audience. All projects will therefore contain at least two broad areas of assessment: the substantive work itself, and the oral and written communication of the work to others. All assessment components submitted in both of these areas are expected to be of a high professional standard. Students will present their research in the thesis. The thesis topic and structure will vary according to the area of interest of the student and the expertise of the supervisor. Throughout this subject regular planned consultations between the student and supervisor will occur. Students are expected to work to a schedule devised in consultation with their supervisor. The schedule will include set dates for the presentation of draft chapters for review by the supervisor.

Level: Undergraduate Level 4 subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 7001  Advanced Mathematical Investigations  (20 Credit Points)  
Legacy Code: 301176  

Advanced Mathematical Investigations is an integral part of the Master of Research for students planning a future in mathematical and/or statistical research. Students will carry out extensive investigations under the supervision of an academic staff member that will allow the development of skills, knowledge and a way of thinking that will assist in the learning of mathematics and/or statistics needed for research in their chosen field of mathematics. They will also develop their written and oral communication skills, culminating in a paper which will be written as though it is to be submitted to a mathematics/statistics journal for publication (including following the journal's requirements for presentation) and an oral presentation of the style expected at a mathematics/statistics conference.

Level: Postgraduate Coursework Level 7 subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 7002  Advanced Statistical Methods  (10 Credit Points)  
Legacy Code: 301115  

There has been a significant trend away from simple statistical models for complex and Big Data. Advanced Statistical Methods is a technical unit that looks at computer intensive statistical techniques for modelling complex data. Students will learn about methods including Density Estimation, the Expectation-Maximisation (EM) algorithm, Bayesian, Markovian and Hidden Markov Models, enabling them to apply sophisticated statistical tools in a Data Science setting.

Level: Postgraduate Coursework Level 7 subject  
Pre-requisite(s): MATH 7012 AND
MATH 7016
  
Co-requisite(s): COMP 7006  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 7003  Applied Business Statistics  (10 Credit Points)  
Legacy Code: 300962  

This unit introduces the basic statistical concepts and techniques for descriptive and inferential data analysis. It will aid and improve business decision-making, especially when faced with uncertain outcomes.

Level: Postgraduate Coursework Level 7 subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 7005  Approximation Theory  (20 Credit Points)  
Legacy Code: 301060  

Approximation theory is concerned with approximating functions of a given class using functions from another, usually more elementary, class. The efficient solution of such problems is of great importance for computing, and this online unit will provide a general introduction to the mathematical theory behind many approximation methods in common use.

Level: Postgraduate Coursework Level 7 subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 7008  Mathematical Investigations  (10 Credit Points)  
Legacy Code: 301106  

Mathematical Investigations will prepare Master of Research for students planning a future in mathematical/statistical research. Students will carry out investigations under the supervision of an academic staff member that will allow development of skills, knowledge and a way of thinking that will assist in the learning of mathematics/statistics that will prepare them for research in their chosen field of mathematics. They will also develop their written and oral communication skills, culminating in a poster presentation of significant findings as if being submitted at a mathematics/statistics conference, following that conference's directions for submission.

Level: Postgraduate Coursework Level 7 subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 7009  Mathematical Proof and Reasoning  (10 Credit Points)  
Legacy Code: 301177  

Proving and getting a new proposition by careful reasoning from given propositions, is the essence of mathematics. Proof is what makes mathematics special and eternal. This unit looks at the different methods of proof and reasoning that can be employed to verify that statements are true or not. Students will consider propositions and theorems from various areas of mathematics and look at classic, interesting and sometimes novel ways these can be proved. Successful students taking this unit will not only be able to follow and determine if a proof is correct, but become proficient at mathematical reasoning.

Level: Postgraduate Coursework Level 7 subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 7011  Predictive Analytics  (10 Credit Points)  
Legacy Code: 301117  

The information age has allowed business and science to take advantage of the vast amount of available data for predicting outcomes and estimating trends, to make informed decisions. Machine learning is the process of allowing a computer to learn from data, which at its heart is used in making these important decisions. This unit provides students with the knowledge and practice required to implement and effectively use these predictive models such as Neural Networks and Support Vector Machines, and provides opportunity for students to investigate state-of-the-art. Students will use the Python programming language throughout this unit.

Level: Postgraduate Coursework Level 7 subject  
Pre-requisite(s): MATH 7016  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 7012  Programming for Data Science  (10 Credit Points)  
Legacy Code: 301113  

The use of computers and computer programming for Data Science is fundamental to the discipline. This introductory unit will briefly cover the use of spreadsheet systems and then will consider programming in the statistical system "R" in detail. Other special purpose languages will also be touched on briefly including SQL (Structured Query Language).

Level: Postgraduate Coursework Level 7 subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 7014  Social Media Intelligence  (10 Credit Points)  
Legacy Code: 301116  

Social Media Intelligence presents the theory and practice of extracting and analysing information from social media networks. The aims are to identify properties of social networks, and to make predictions about future events. Topics included will cover areas such as Graph theory, Game theory and Network dynamics and we will identify how these can be used to model and extract information from Facebook and Twitter.

Level: Postgraduate Coursework Level 7 subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 7015  Statistics for Accountants (PG)  (10 Credit Points)  
Legacy Code: 200424  

Statistics for Accountants introduces the basic concepts and techniques for statistical inference and decision making in a business context.

Level: Postgraduate Coursework Level 7 subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 7016  The Nature of Data  (10 Credit Points)  
Legacy Code: 301114  

This Unit covers concepts of data centric thinking. The main areas discussed are; Populations and Samples; Sampling concepts; Types of Data; Descriptive Methods; Estimation and Inference; and Modelling. The Unit takes a computational and nonparametric approach, before discussing theoretical concepts and Normal distribution theory as large sample approximations.

Level: Postgraduate Coursework Level 7 subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 7017  Probabilistic Graphical Models  (10 Credit Points)  
Legacy Code: 301365  

Modelling data provides us with a method for inference, but there are many occurrences when interest lies in the reasoning behind the decision making. In this unit, students learn to model processes and the reasoning behind the processes using probabilistic graphical models. The unit investigates the construction and application of model-based approaches for complex systems. Students will manually create models based on prior knowledge and investigate methods of learning model structures from data, which can be used to make decisions under uncertainty. Topics covered include Monte Carlo Methods, Decision Theory, Bayesian networks, Markov networks, and the use of information theory.

Level: Postgraduate Coursework Level 7 subject  
Pre-requisite(s): MATH 7016  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 7018  Scientific Informatics  (10 Credit Points)  

This unit discusses the most important scientific revolutions in informatics throughout history and the role of Scientific Informatics in modern scientific research. It examines the influence of computing and informatics on the major paradigm shifts in the social, behavioural, biological, health and physical sciences and assesses the societal impact of future discoveries. The unit aims to provide training for Research and Coursework Masters in the computational techniques that are integral to much of modern scientific research as well as cultural and philosophical perspectives on the Science, Technology, Engineering and Mathematics (STEM). Students complete practical assessment items that are relevant to their field of research, which are designed to develop transferrable skills and familiarity with computing tools.

Level: Postgraduate Coursework Level 7 subject  
Equivalent Subjects: MATH 7013 - Scientific Informatics  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 7019  Mathematics of Signal Processing  (10 Credit Points)  

This unit teaches students to abstract and develop algorithms, in Python, for analysing and processing deterministic and stochastic data/signals. Students are taught strategies in developing solutions that are optimal and efficient to implement. They learn how to analyse signals under the Fourier transform and under different bases, allowing for an appreciation of how lossy compression works, and how to formulate and solve some convex optimisation algorithms.

Level: Postgraduate Coursework Level 7 subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 9001  HDR Thesis - Centre for Research in Mathematics  (20 Credit Points)  
Legacy Code: 800165  
Level: PhD and Research Masters Level 9 subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject  
MATH 9002  Higher Degree Research Thesis - Quantitative Methods and Mathematical Sciences  (20 Credit Points)  
Legacy Code: 800047  
Level: PhD and Research Masters Level 9 subject  
Restrictions: Please see the Subject Details page for any restrictions for this subject