35512 Modelling Change6cp
Requisite(s): 35511 Linear Dynamical Systems
These requisites may not apply to students in certain courses.
There are course requisites for this subject. See access conditions.
Real-world problems are often characterised by complex interactions among many variables. Examples include the analysis of investment portfolios and ecological systems. This subject presents the extension of the single-variable calculus to the multivariable setting, including the development of the necessary theoretical framework. Topics include analytic geometry and its application to the analysis of functions of several variables; partial derivatives and the gradient; double integrals; sequences, series and convergence; continuity and uniform continuity of functions; power series, Taylor series and their convergence; sequences and series of functions and the Weierstrass M-test; the Riemann integral. Students participate in an extension seminar focusing on the creative integration of learned technical skills, and their ability to articulate the relevance of the mathematics being studied to their career.
Detailed subject description.
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- Subject EFTSL: 0.125