units

ENG1090

Faculty of Engineering

18 September 2017
04 October 2024

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## 6 points, SCA Band 0 (NATIONAL PRIORITY), 0.125 EFTSLRefer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.
## SynopsisFunctions and coordinate geometry: types of functions, composite functions, inverse functions, modelling of periodic phenomena with trigonometric functions. Complex numbers. Differentiation and integration: concepts and techniques, applications to related rate of change and optimization problems, areas, volume, and centre of mass. Vectors in two- and three-dimensional space, application to motion and kinematics. ## ObjectivesOn completing this unit students will be able to demonstrate understanding of the characteristics of different types of functions and their graphs, composition of functions, and inverse functions; use trigonometric functions to model periodic behaviour; represent complex numbers in cartesian, polar and exponential forms, and on the complex plane; operate with complex numbers, including finding powers and complex roots of polynomials; demonstrate understanding of the concepts of limit, continuity, differentiable and integrable functions; use differentiation rules to find derivatives of implicit and explicit functions; apply differentiation techniques to related rates of change problems and optimization problems; use simple integration techniques to find definite and indefinite integrals, including integration by substitution and integration of rational functions; apply integration techniques to calculate areas, average values, volumes, centres of mass, moment, and work; perform operations with two- and three-dimensional vectors, interpret them geometrically, find vector resolutes, and apply them to motion of a particle; solve kinematics problems, and set up and solve problems involving Newton's laws of motion. ## Assessment
Assignments and test: 30% ## Chief examiner(s)
Associate Professor Michael Page ## Contact hours3 hours lectures, one 2-hour practice class and 7 hours of private study per week ## PrerequisitesVCE Mathematical Methods 3/4 ## ProhibitionsENG1901, MTH1020, MAT1055 |