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Showing 25 course outlines from 4473 matches
2351
MATHS 761
: Dynamical Systems2023 Semester One (1233)
Mathematical models of systems that change are frequently written in the form of nonlinear differential equations, but it is usually not possible to write down explicit solutions to these equations. This course covers analytical and numerical techniques that are useful for determining the qualitative properties of solutions to nonlinear differential equations.
Prerequisite: B- in both MATHS 340 and 361
2352
MATHS 761
: Dynamical Systems2022 Semester One (1223)
Mathematical models of systems that change are frequently written in the form of nonlinear differential equations, but it is usually not possible to write down explicit solutions to these equations. This course covers analytical and numerical techniques that are useful for determining the qualitative properties of solutions to nonlinear differential equations.
Prerequisite: B- in both MATHS 340 and 361
2353
MATHS 761
: Dynamical Systems2021 Semester One (1213)
Mathematical models of systems that change are frequently written in the form of nonlinear differential equations, but it is usually not possible to write down explicit solutions to these equations. This course covers analytical and numerical techniques that are useful for determining the qualitative properties of solutions to nonlinear differential equations.
Prerequisite: B- in both MATHS 340 and 361
2354
MATHS 761
: Dynamical Systems2020 Semester One (1203)
Mathematical models of systems that change are frequently written in the form of nonlinear differential equations, but it is usually not possible to write down explicit solutions to these equations. This course covers analytical and numerical techniques that are useful for determining the qualitative properties of solutions to nonlinear differential equations.
Prerequisite: B- in both MATHS 340 and 361
2355
MATHS 762
: Nonlinear Partial Differential Equations2024 Semester Two (1245)
A study of exact and numerical methods for non-linear partial differential equations. The focus will be on the kinds of phenomena which only occur for non-linear partial differential equations, such as blow up, shock waves, solitons and special travelling wave solutions.
Prerequisite: B- in both MATHS 340 and 361
2356
MATHS 762
: Nonlinear Partial Differential Equations2023 Semester Two (1235)
A study of exact and numerical methods for non-linear partial differential equations. The focus will be on the kinds of phenomena which only occur for non-linear partial differential equations, such as blow up, shock waves, solitons and special travelling wave solutions.
Prerequisite: B- in both MATHS 340 and 361
2357
MATHS 762
: Nonlinear Partial Differential Equations2022 Semester Two (1225)
A study of exact and numerical methods for non-linear partial differential equations. The focus will be on the kinds of phenomena which only occur for non-linear partial differential equations, such as blow up, shock waves, solitons and special travelling wave solutions.
Prerequisite: B- in both MATHS 340 and 361
2358
MATHS 762
: Nonlinear Partial Differential Equations2021 Semester Two (1215)
A study of exact and numerical methods for non-linear partial differential equations. The focus will be on the kinds of phenomena which only occur for non-linear partial differential equations, such as blow up, shock waves, solitons and special travelling wave solutions.
Prerequisite: B- in both MATHS 340 and 361
2359
MATHS 762
: Nonlinear Partial Differential Equations2020 Semester Two (1205)
A study of exact and numerical methods for non-linear partial differential equations. The focus will be on the kinds of phenomena which only occur for non-linear partial differential equations, such as blow up, shock waves, solitons and special travelling wave solutions.
Prerequisite: B- in both MATHS 340 and 361
2360
MATHS 763
: Advanced Partial Differential Equations2025 Semester One (1253)
A study of advanced exact and numerical methods for both linear and non-linear partial differential equations.
Prerequisite: B- in both MATHS 340 and 361
2361
MATHS 763
: Advanced Partial Differential Equations2024 Semester One (1243)
A study of exact and approximate methods of solution for the linear partial differential equations that frequently arise in applications.
Prerequisite: B- in both MATHS 340 and 361
2362
MATHS 763
: Advanced Partial Differential Equations2023 Semester One (1233)
A study of exact and approximate methods of solution for the linear partial differential equations that frequently arise in applications.
Prerequisite: B- in both MATHS 340 and 361
2363
MATHS 763
: Advanced Partial Differential Equations2022 Semester One (1223)
A study of exact and approximate methods of solution for the linear partial differential equations that frequently arise in applications.
Prerequisite: B- in both MATHS 340 and 361
2364
MATHS 763
: Advanced Partial Differential Equations2021 Semester One (1213)
A study of exact and approximate methods of solution for the linear partial differential equations that frequently arise in applications.
Prerequisite: B- in both MATHS 340 and 361
2365
MATHS 763
: Advanced Partial Differential Equations2020 Semester One (1203)
A study of exact and approximate methods of solution for the linear partial differential equations that frequently arise in applications.
Prerequisite: B- in both MATHS 340 and 361
2366
MATHS 765
: Mathematical Modelling2025 Semester Two (1255)
Advanced topics in mathematical modelling, including selected topics in a range of application areas, principally taken from the physical and biological sciences.
Prerequisite: At least B- or better in both MATHS 340 and 361
2367
MATHS 765
: Mathematical Modelling2024 Semester Two (1245)
Advanced topics in mathematical modelling, including selected topics in a range of application areas, principally taken from the physical and biological sciences.
Prerequisite: At least B- or better in both MATHS 340 and 361
2368
MATHS 765
: Mathematical Modelling2023 Semester Two (1235)
Advanced topics in mathematical modelling, including selected topics in a range of application areas, principally taken from the physical and biological sciences.
Prerequisite: At least B- or better in both MATHS 340 and 361
2369
MATHS 765
: Mathematical Modelling2022 Semester Two (1225)
Advanced topics in mathematical modelling, including selected topics in a range of application areas, principally taken from the physical and biological sciences.
Prerequisite: At least B- or better in both MATHS 340 and 361
2370
MATHS 765
: Mathematical Modelling2021 Semester Two (1215)
Advanced topics in mathematical modelling, including selected topics in a range of application areas, principally taken from the physical and biological sciences.
Prerequisite: At least B- or better in both MATHS 340 and 361
2371
MATHS 765
: Mathematical Modelling2020 Semester Two (1205)
Advanced topics in mathematical modelling, including selected topics in a range of application areas, principally taken from the physical and biological sciences.
Prerequisite: At least B- or better in both MATHS 340 and 361
2372
MATHS 766
: Inverse Problems2020 Semester Two (1205)
Covers the mathematical and statistical theory and modelling of unstable problems that are commonly encountered in mathematics and applied sciences.
Prerequisite: At least B- in both MATHS 340 and 363, or PHYSICS 701
2373
MATHS 767
: Inverse Problems and Stochastic Differential Equations2025 Semester One (1253)
Covers stochastic differential equations and inverse problems, including: continuous time processes, random walks and Wiener processes, Itō calculus, and applications of SDEs, Hilbert spaces and linear operator theory, singular value decomposition and pseudoinverses, Tikhonov regularisation, nonlinear problems and iterative methods.
Prerequisite: B- or higher in MATHS 340 and 361
Restriction: MATHS 766, 769, 787
Restriction: MATHS 766, 769, 787
2374
MATHS 769
: Stochastic Differential and Difference Equations2020 Semester One (1203)
Differential and difference equations are often used as preliminary models for real world phenomena. The practically relevant models that can explain observations are, however, often the stochastic extensions of differential and difference equations. This course considers stochastic differential and difference equations and applications such as estimation and forecasting.
Prerequisite: B- in both MATHS 340 and 361
2375
MATHS 770
: Advanced Numerical Analysis2025 Semester Two (1255)
Covers the use, implementation and analysis of efficient and reliable numerical algorithms for solving several classes of mathematical problems. The course assumes students have done an undergraduate course in numerical methods and can use Matlab or other high-level computational language.
Prerequisite: B- in MATHS 270, 340 and 361
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