Overview
Linear algebra is a critical tool in all mathematics and its applications. For example, the output of many electrical circuits depends linearly on the input (over moderate ranges of input), and successfully correcting the trajectory of a space probe involves repeatedly solving systems of linear equations in hundreds of variables. … For more content click the Read More button below.
MATH2501will review material from first year (MATH1231, MATH1241 or MATH1251) so that vector spaces and linear transformations become familiar friends rather than uneasy acquaintances. Students will learn about important geometric transformations: projections, rotations, and reflections. Students will see their applications, such as the least squares approximations, and will learn how to view many linear transformations as being made up of “stretches”; in various directions, the so-called diagonalisation process, and the more general Jordan form. The course will also introduce Jordan forms, which are used to calculate functions of matrices, such as the exponential of a matrix and hence to solve systems of linear differential equations.
The course is delivered through lectures and tutorials, which provide guidance and activities to help students refine and apply the knowledge gained in lectures.
Note: MATH2601 is the higher level version of this course, which is primarily but not exclusively intended for students aiming to complete honours in applied mathematics, pure mathematics, statistics or data science, and so aims to give students a deeper level of understanding of the course content.
Conditions for Enrolment
Prerequisite: MATH1231 or MATH1241 or MATH1251 or DPST1014
Delivery
In-person -
Multimodal - Standard (usually weekly or fortnightly)
Fees
Type | Amount |
---|---|
Commonwealth Supported Students (if applicable) | $579 |
Domestic Students | $7320 |
International Students | $7320 |
Pre-2019 Handbook Editions
Access past handbook editions (2018 and prior)