# Search Course Outline

### Showing 25 course outlines from 3703 matches

1951

#### MATHS 735

: Analysis on Manifolds and Differential Geometry
2022 Semester One (1223)
Studies surfaces and their generalisations, smooth manifolds, and the interaction between geometry, analysis and topology; it is a central tool in many areas of mathematics, physics and engineering. Topics include Stokes' theorem on manifolds and the celebrated Gauss Bonnet theorem. Strongly recommended: MATHS 333 and 340.
Subject: Mathematics
Prerequisite: MATHS 332
1952

#### MATHS 735

: Analysis on Manifolds and Differential Geometry
2020 Semester One (1203)
Studies surfaces and their generalisations, smooth manifolds, and the interaction between geometry, analysis and topology; it is a central tool in many areas of mathematics, physics and engineering. Topics include Stokes' theorem on manifolds and the celebrated Gauss Bonnet theorem. Strongly recommended: MATHS 333 and 340.
Subject: Mathematics
Prerequisite: MATHS 332
1953

#### MATHS 740

: Complex Analysis
2023 Semester One (1233)
An introduction to functions of one complex variable, including Cauchy's integral formula, the index formula, Laurent series and the residue theorem. Many applications are given including a three line proof of the fundamental theorem of algebra. Complex analysis is used extensively in engineering, physics and mathematics. Strongly recommended: MATHS 333.
Subject: Mathematics
Prerequisite: MATHS 332
Restriction: MATHS 341
1954

#### MATHS 740

: Complex Analysis
2021 Semester One (1213)
An introduction to functions of one complex variable, including Cauchy's integral formula, the index formula, Laurent series and the residue theorem. Many applications are given including a three line proof of the fundamental theorem of algebra. Complex analysis is used extensively in engineering, physics and mathematics. Strongly recommended: MATHS 333.
Subject: Mathematics
Prerequisite: MATHS 332
Restriction: MATHS 341
1955

#### MATHS 750

: Topology
2024 Semester Two (1245)
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
1956

#### 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
1957

#### 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
1958

#### 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
1959

#### 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
1960

#### 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
1961

#### 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
1962

#### 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
1963

#### 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
1964

#### 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
1965

#### 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
1966

#### 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
1967

#### 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
1968

#### 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
1969

#### 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
1970

#### 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
1971

#### 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
1972

#### 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
1973

#### 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
1974

#### 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
1975

#### 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