MATH1010 (v.1) Advanced Mathematics
|Area:||Department of Mathematics and Statistics|
|TUITION PATTERNS:||The tuition pattern provides details of the types of classes and their duration. This is to be used as a guide only. Precise information is included in the unit outline.|
|Lecture:||1 x 2 Hours Weekly|
|Tutorial:||1 x 1 Hours Weekly|
|Workshop:||1 x 2 Hours Weekly|
or any previous version
or any previous version
MATH1004 (v.1) Mathematics 1 or any previous version
|UNIT REFERENCES, TEXTS, OUTCOMES AND ASSESSMENT DETAILS:||The most up-to-date information about unit references, texts and outcomes, will be provided in the unit outline.|
|Syllabus:||This unit is designed for those students who have passed WACE Mathematics 3C/3D: Specialist or equivalent with a mark >65%. Students will learn skills, to an advanced level, that are needed to solve such problems that arise in science, engineering and business related fields. To build a solid foundation, we start with logic and through it arrive at mathematical proof, including direct proof: proof by contradiction and induction. We review calculus with rigour, including functions, limits, differentiation, integration. We study linearity in the context of solving systems of linear equations, introductory linear algebra (including eigenvalues and eigenvectors), and linear difference equations and by analogy methods for solving linear differential equations. Finally, we review complex numbers, focussing on geometrical aspects.|
|Field of Education:||010101 Mathematics|
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