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2021 unit information
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Last updated: 4 June 2021
Two units chosen from SIT291, SIT292, SIT294
Nil
Students will on average spend 150 hours over the teaching period undertaking the teaching, learning and assessment activities for this unit.
1 x 1 hour online seminar per week, 1 x 2 hour workshop per week.
1 x 1 hour scheduled online seminar per week.
The unit builds on the techniques of applied mathematics developed in level 2 mathematics units and prepares students for continued studies in applied mathematics and investigations of advanced modelling approaches. It explores theory and applications of complex number analysis. The topics covered include complex algebra and functions, analyticity, contour integration, Taylor and Laurent series, Cauchy’s integral formula, classification of singularities, conformal mappings and residue theory, as well as applications of residue theory to the evaluation of real integrals. Complex Analysis provides us with a tool to solve hard definite integrals, and has extensive applications in science (in particular physics), and engineering (e.g., electrical engineering).
Perform algebraic operations with complex numbers in different representations, understand the underlying mathematical concepts, and communicate the understanding of these concepts through problem solving of either well-defined or open-ended problems.
GLO1: Discipline-specific knowledge and capabilitiesGLO4: Critical thinkingGLO5: Problem solvingGLO6: Self-management
ULO2
Operate with analytic functions, and elementary functions of complex argument, understand the underlying mathematical concepts, and communicate the understanding of these concepts through problem solving of either well-defined or open-ended problems.
ULO3
Perform complex integration, understand the underlying mathematical concepts, and communicate the understanding of these concepts through problem solving of either well-defined or open-ended problems.
ULO4
Represent analytic functions as power series and as Laurent series, understand the underlying mathematical conceptsand communicate the understanding of these concepts through problem solving of either well-defined or open-ended problems.
ULO5
Apply the Residue theorem to calculation of improper real integrals, understand the underlying mathematical conceptsand communicate the understanding of these concepts through problem solving of either well-defined or open-ended problems.
These Unit Learning Outcomes are applicable for all teaching periods throughout the year
The assessment due weeks provided may change. The Unit Chair will clarify the exact assessment requirements, including the due date, at the start of the teaching period.
To be eligible to obtain a pass in this unit, students must achieve at least 40% of the total marks allocated for the examination.
The texts and reading list for the unit can be found on the University Library via the link below: SIT396 Note: Select the relevant trimester reading list. Please note that a future teaching period's reading list may not be available until a month prior to the start of that teaching period so you may wish to use the relevant trimester's prior year reading list as a guide only.
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