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Showing 25 course outlines from 4702 matches

2426

MATHS 761

: Dynamical Systems
2022 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.
Subject: Mathematics
Prerequisite: B- in both MATHS 340 and 361
2427

MATHS 761

: Dynamical Systems
2021 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.
Subject: Mathematics
Prerequisite: B- in both MATHS 340 and 361
2428

MATHS 761

: Dynamical Systems
2020 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.
Subject: Mathematics
Prerequisite: B- in both MATHS 340 and 361
2429

MATHS 762

: Nonlinear Partial Differential Equations
2024 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.
Subject: Mathematics
Prerequisite: B- in both MATHS 340 and 361
2430

MATHS 762

: Nonlinear Partial Differential Equations
2023 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.
Subject: Mathematics
Prerequisite: B- in both MATHS 340 and 361
2431

MATHS 762

: Nonlinear Partial Differential Equations
2022 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.
Subject: Mathematics
Prerequisite: B- in both MATHS 340 and 361
2432

MATHS 762

: Nonlinear Partial Differential Equations
2021 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.
Subject: Mathematics
Prerequisite: B- in both MATHS 340 and 361
2433

MATHS 762

: Nonlinear Partial Differential Equations
2020 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.
Subject: Mathematics
Prerequisite: B- in both MATHS 340 and 361
2434

MATHS 763

: Advanced Partial Differential Equations
2025 Semester One (1253)
A study of advanced exact and numerical methods for both linear and non-linear partial differential equations.
Subject: Mathematics
Prerequisite: B- in both MATHS 340 and 361
2435

MATHS 763

: Advanced Partial Differential Equations
2024 Semester One (1243)
A study of exact and approximate methods of solution for the linear partial differential equations that frequently arise in applications.
Subject: Mathematics
Prerequisite: B- in both MATHS 340 and 361
2436

MATHS 763

: Advanced Partial Differential Equations
2023 Semester One (1233)
A study of exact and approximate methods of solution for the linear partial differential equations that frequently arise in applications.
Subject: Mathematics
Prerequisite: B- in both MATHS 340 and 361
2437

MATHS 763

: Advanced Partial Differential Equations
2022 Semester One (1223)
A study of exact and approximate methods of solution for the linear partial differential equations that frequently arise in applications.
Subject: Mathematics
Prerequisite: B- in both MATHS 340 and 361
2438

MATHS 763

: Advanced Partial Differential Equations
2021 Semester One (1213)
A study of exact and approximate methods of solution for the linear partial differential equations that frequently arise in applications.
Subject: Mathematics
Prerequisite: B- in both MATHS 340 and 361
2439

MATHS 763

: Advanced Partial Differential Equations
2020 Semester One (1203)
A study of exact and approximate methods of solution for the linear partial differential equations that frequently arise in applications.
Subject: Mathematics
Prerequisite: B- in both MATHS 340 and 361
2440

MATHS 765

: Mathematical Modelling
2025 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.
Subject: Mathematics
Prerequisite: At least B- or better in both MATHS 340 and 361
2441

MATHS 765

: Mathematical Modelling
2024 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.
Subject: Mathematics
Prerequisite: At least B- or better in both MATHS 340 and 361
2442

MATHS 765

: Mathematical Modelling
2023 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.
Subject: Mathematics
Prerequisite: At least B- or better in both MATHS 340 and 361
2443

MATHS 765

: Mathematical Modelling
2022 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.
Subject: Mathematics
Prerequisite: At least B- or better in both MATHS 340 and 361
2444

MATHS 765

: Mathematical Modelling
2021 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.
Subject: Mathematics
Prerequisite: At least B- or better in both MATHS 340 and 361
2445

MATHS 765

: Mathematical Modelling
2020 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.
Subject: Mathematics
Prerequisite: At least B- or better in both MATHS 340 and 361
2446

MATHS 766

: Inverse Problems
2020 Semester Two (1205)
Covers the mathematical and statistical theory and modelling of unstable problems that are commonly encountered in mathematics and applied sciences.
Subject: Mathematics
Prerequisite: At least B- in both MATHS 340 and 363, or PHYSICS 701
2447

MATHS 767

: Inverse Problems and Stochastic Differential Equations
2025 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.
Subject: Mathematics
Prerequisite: B- or higher in MATHS 340 and 361
Restriction: MATHS 766, 769, 787
2448

MATHS 769

: Stochastic Differential and Difference Equations
2020 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.
Subject: Mathematics
Prerequisite: B- in both MATHS 340 and 361
2449

MATHS 770

: Advanced Numerical Analysis
2025 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.
Subject: Mathematics
Prerequisite: B- in MATHS 270, 340 and 361
2450

MATHS 770

: Advanced Numerical Analysis
2024 Semester Two (1245)
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.
Subject: Mathematics
Prerequisite: B- in MATHS 270, 340 and 361