MAT1102 Algebra and Calculus I (FOSCI)


Semester 1 (ONC)Toowoomba (EXT)Toowoomba


Units 1.0 (Mathematics) Band 6


Pre-requisite: Up-to-date Maths B skills (Queensland Secondary School Studies).


Synopsis

It is assumed that students entering this course have up-to-date Qld Maths B competencies, that is, well-established algebra, function, graphing and trigonometry competencies, and introductory level skills in matrices, vectors and calculus. This course advances conceptual and technical competencies in these fields by investigating limits, continuity, inverse functions, compositions, rational functions and implicit functions. Calculus concepts, differentiation and integration are advanced and used in problem-solving applications. Vector algebra is extended and applied to the description of lines and planes in space. Matrix algebra is extended to determinants, and used for modelling and to solve systems of linear equations in a range of settings. Euler notation is used to represent complex numbers and functions.