Mathematicians seek out patterns 9 10 and use them to formulate new conjectures Mathematicians resolve the truth or falsity of conjectures by mathematical proof When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. The recent appointments of colleagues working in the more applied aspects of the discipline present us with a unique opportunity to enter areas of mathematics not previously offered at Macquarie University, to embrace other areas of strength within the Faculty of Science and Engineering in physics, electronics and computing, and to make the mathematics program more relevant to the needs of other sciences and technology as well as commerce.
The study of astronomy in the early times of its inception demanded the expansion of our understanding of mathematics and made possible such realizations as the size and weight of the earth, our distance from the sun, the fact that we revolve around it, and other discoveries that allowed us to move forward in our body of knowledge without which we would not have any of our modern marvels of technology.
Evidence for more complex mathematics does not appear until around 3000 BC , when the Babylonians and Egyptians began using arithmetic , algebra and geometry for taxation and other financial calculations, for building and construction, and for astronomy 20 The earliest uses of mathematics were in trading , land measurement , painting and weaving patterns and the recording of time.
The aim of this module is to introduce Level 4 students to some biological phenomena and their formulation in terms of mathematical models, building on the work in MA32009/MA41002 (Mathematical Biology I). This module is mandatory for Level 4 students taking the BSc or MSci in Mathematical Biology, and may optionally be taken in combination with other modules by students taking the BSc or MMath in Mathematics or any of the other Mathematics combined degrees.
The main objectives of OBM are to stimulate the study of mathematics in academia, to identify talented young mathematicians and encourage them to pursue a scientific career, particularly in mathematics, and to select and train students to represent Brazil in international mathematical competitions, such as the International Mathematical Olympiad (IMO), among others.