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Undergraduate 
(SCI)

Leader: Dr Anthony Lun
Offered:
Clayton First semester 2006 (Day)
Synopsis: Functions, domain and range, function representation; different types of functions including linear, exponential, logarithmic, trigonometric, polynomial and rational functions; function algebra; composition of functions; inverse of functions; transformations; modelling with functions; rates of change; introduction to differentiation and integration, including techniques and applications.
Objectives: On completion of this unit students will have acquired knowledge of: the notions of function and their representation as tables, graphs or mathematical expressions; basic characteristics of linear, exponential, trigonometric, and polynomial functions; algebra of functions and inverse functions; the notions of rate of exchange, differentiation and integration; will have developed skills in: identifying linear, exponential, logarithmic, periodic, polynomial, and rational patterns in graphs, tables, and mathematical expressions; using function algebra, calculating composition of functions and inverse functions; transforming functions through shifting, scaling and reflection; using functions as models of real life behaviour; calculating simple derivatives and integrals; using computer algebra software to investigate the behaviour of functions, and their transformations and combinations, and as an aid in the modelling of reallife problems; and will have developed and/or strengthened the following generic skills; the ability to write reports using a technical word processor; and the ability to work in teams.
Assessment: Examination (3 hours): 60% + Assignments and tests: 40%. Student must pass the final examination to be granted a pass grade.
Contact Hours: Three 1hour lectures and one 2hour support class per week