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Showing 25 course outlines from 3702 matches

1951

MATHS 750

: Topology
2022 Semester Two (1225)
Aspects of point-set, set-theoretic and algebraic topology including: properties and construction of topological spaces, continuous functions, axioms of separation, countability, connectivity and compactness, metrization, covering spaces, the fundamental group and homology theory. Strongly recommended: MATHS 333.
Subject: Mathematics
Prerequisite: MATHS 332
Restriction: MATHS 350
1952

MATHS 750

: Topology
2020 Semester Two (1205)
Aspects of point-set, set-theoretic and algebraic topology including: properties and construction of topological spaces, continuous functions, axioms of separation, countability, connectivity and compactness, metrization, covering spaces, the fundamental group and homology theory. Strongly recommended: MATHS 333.
Subject: Mathematics
Prerequisite: MATHS 332
Restriction: MATHS 350
1953

MATHS 761

: Dynamical Systems
2024 Semester One (1243)
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
1954

MATHS 761

: Dynamical Systems
2023 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.
Subject: Mathematics
Prerequisite: B- in both MATHS 340 and 361
1955

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
1956

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
1957

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
1958

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
1959

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
1960

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
1961

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
1962

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
1963

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
1964

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
1965

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
1966

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
1967

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
1968

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
1969

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
1970

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
1971

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
1972

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
1973

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
1974

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
1975

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