Overview
Mathematics went through quite a revolution around the turn of the 20th century. In particular, an axiomatic approach infiltrated the mathematical paradigm, both as a tool to ensure mathematical rigour and to abstract common principles working in a variety of different settings.
First year mathematics emphasizes computation over abstraction and … For more content click the Read More button below.
The course consists of two halves, algebra and analysis, using lectures and tutorials for content delivery and investigation. The analysis part of the course begins with inequalities and how to bound quantities that cannot be calculated precisely. Many nice examples from geometry will be used to motivate discussions. Then the focus switches to aspects of the real numbers, such as how well one can approximate π by a rational p/q (in terms of how large q is).
The algebra half of the course looks at transformations on the plane and projective plane, studying maps such as translations, reflections, rotations in terms of groups. Topics include transformations of geometric figures that preserve some property (such as distance or angles between lines), and projective geometry. Projective transformations can change a conic section of one type to another, e.g. an ellipse to a hyperbola.
Conditions for Enrolment
Prerequisite: MATH1231 or DPST1014 or MATH1241 or MATH1251 with at least a CR, enrolment in an advanced maths or advanced science program
Delivery
In-person - Standard (usually weekly or fortnightly)
Fees
Type | Amount |
---|---|
Commonwealth Supported Students (if applicable) | $556 |
Domestic Students | $6840 |
International Students | $6840 |
Pre-2019 Handbook Editions
Access past handbook editions (2018 and prior)