## Level 1 Subjects

The following are our first year level subjects. The headings link to the full descriptions in the University Handbook.

MAST10005 Calculus 1

This subject extends students' knowledge of functions and calculus and introduces them to the topics of vectors and complex numbers. Students will be introduced to new functions such as the inverse trigonometric functions and learn how to extend the techniques of differentiation to these. Integration techniques will be applied to solving first order differential equations.

MAST10006 Calculus 2

This subject will extend knowledge of calculus from school. Students are introduced to hyperbolic functions and their inverses, the complex exponential and functions of two variables. Techniques of differentiation and integration will be extended to these cases. Students will be exposed to a wider class of differential equation models, both first and second order, to describe systems such as population models, electrical circuits and mechanical oscillators.

MAST10007 Linear Algebra

This subject gives a solid grounding in key areas of modern mathematics needed in science and technology. It develops the concepts of vectors, matrices and the methods of linear algebra. Students should develop the ability to use the methods of linear algebra and gain an appreciation of mathematical proof. Little of the material here has been seen at school and the level of understanding required represents an advance on previous studies.

MAST10008 Accelerated Mathematics 1

This subject develops the concepts of vectors, matrices and the methods of linear algebra and introduces students to differentiation and integration of functions of two variables. Students will be exposed to methods of mathematical proof. Little of the material here has been seen at school and the level of understanding required represents an advance on previous studies. Underlying concepts developed in lectures will be reinforced in computer laboratory classes.

MAST10009 Accelerated Mathematics 2

This subject develops fundamental concepts and principles in mathematical analysis. Students should gain skills in the practical techniques of differential calculus, integral calculus and infinite series, and study selected applications of these techniques in mathematical modelling.

MAST10010 Data Analysis 1

This subject lays the foundations for an understanding of the fundamental concepts of probability and statistics required for data analysis. Students should develop expertise in some of the statistical techniques commonly used in the design and analysis of experiments, and will gain experience in the use of a major statistical computing package. They should develop skills in collecting random samples, data description, basic statistical inference including parametric and nonparametric tests to compare population proportions and means, data manipulation and statistical computing. The methods will be illustrated using applications from science, engineering and commerce. Descriptive statistics, data manipulation and the implementation of the statistical procedures covered in lectures will be reinforced in the computer laboratory classes.

MAST10011 Experimental Design & Data Analysis (Available only in the Bachelor of Biomedicine)

This subject provides an understanding of the fundamental concepts of probability and statistics required for experimental design and data analysis in the health sciences. Initially the subject introduces common study designs, random sampling and randomised trials as well as numerical and visual methods of summarising data. It then focuses on understanding population characteristics such as means, variances, proportions, risk ratios, odds ratios, rates, prevalence, and measures used to assess the diagnostic value of a clinical test. Finally, after determining the sampling distributions of some common statistics, confidence intervals will be used to estimate these population characteristics and statistical tests of hypotheses will be developed. The presentation and interpretation of the results from statistical analyses of typical health research studies will be emphasised.

MAST10012 Introduction to Mathematics (Not available for credit in the Bachelors of Biomedicine, Commerce and Science)

Students will strengthen and develop algebraic and conceptual skills, building a firm mathematical base for MAST10005 Calculus 1. Fundamental concepts about number systems and set theory will be followed by introductory counting principles and techniques. These will be applied to the laws of probability, leading to the study of discrete and continuous random variables. Basic ideas about functions and their inverses will be introduced using examples such as the logarithmic, exponential and trigonometric functions. Differential and integral calculus will be studied with applications to graph sketching and optimization problems. Students will also learn integration techniques, with applications to areas between curves.

MAST10016 Mathematics for Biomedicine (Available only in the Bachelor of Biomedicine)

This subject introduces mathematical techniques to illustrate the importance of quantitative modelling in biomedicine. Quantitative models will be explored in a variety of biomedical contexts. Emphasis will be placed on understanding how biological principles can give rise to quantitative models. Topics to be explored in a quantitative context include genetic variation over many generations, dynamic processes at the cellular level and organ level and the modelling of the spread of infectious diseases among populations.

MAST10020 Magic, Music, and Mathematics (Not available for credit in the Bachelor of Science; others to be confirmed)

Mathematics appears all around us in the world. While the uses of mathematics in areas such as finance, engineering and
science are well known, it is less obvious how mathematical concepts and structures arise in entertainment, the arts and indeed in
almost every field of human endeavour. In this subject we will develop the tools to appreciate and examine how mathematical
concepts and structures arise in many diverse areas. There will be four modules over the semester covering: magic, juggling,
music, and games. We will see how mathematical concepts can be applied to these areas to help us understand their structure
and to help us produce new patterns and tricks. These modules will be bookended by discussions of the mathematical principles
that are to be found in these topics, and in the world more generally.

UNIB10006 Critical Thinking with Data (Only available as breadth)

This subject teaches students to become critical users of data-based evidence. Future journalists, political scientists, sociologists, lawyers, health professionals, psychologists, environmental scientists, business people, engineers, scientists and teachers will develop skills in identifying the strengths and weaknesses of arguments and reports based on quantitative evidence, and learn to evaluate reasoning that uses probabilistic ideas.