In this subject, you will learn and apply mathematical concepts and develop skills that provide a foundation for all studies in mathematical sciences. Your knowledge of algebra, functions, sets and number systems will be reviewed and extended, with significant coverage of complex numbers adding to your repertoire. After consideration of sequences and series, you proceed to a module on Logic and Proof. You will also explore a coherent treatment of vectors and vector geometry that includes matrices and solutions of systems of linear equations via the Gauss-Jordan algorithm, and brief treatment of eigenvalues and eigenvectors. An emphasis is placed on you improving your understanding of mathematical concepts and results so they can be appropriately applied, and your development of reasoning skills and ability to clearly present written arguments, essential in both study and employment. [Engineering students will work to achieve the stage one competencies 1.2 (conceptual understanding of the underpinning mathematics, numerical analysis and statistics), 3.2 (effective written communication) and 3.4 (management of self).]
