# Search Course Outline

### Showing 25 course outlines from 3703 matches

1951

#### MATHS 735

: Analysis on Manifolds and Differential Geometry2022 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.

Prerequisite: MATHS 332

1952

#### MATHS 735

: Analysis on Manifolds and Differential Geometry2020 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.

Prerequisite: MATHS 332

1953

#### MATHS 740

: Complex Analysis2023 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.

Prerequisite: MATHS 332

Restriction: MATHS 341

Restriction: MATHS 341

1954

#### MATHS 740

: Complex Analysis2021 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.

Prerequisite: MATHS 332

Restriction: MATHS 341

Restriction: MATHS 341

1955

#### MATHS 750

: Topology2024 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.

Prerequisite: MATHS 332

Restriction: MATHS 350

Restriction: MATHS 350

1956

#### MATHS 750

: Topology2022 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.

Prerequisite: MATHS 332

Restriction: MATHS 350

Restriction: MATHS 350

1957

#### MATHS 750

: Topology2020 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.

Prerequisite: MATHS 332

Restriction: MATHS 350

Restriction: MATHS 350

1958

#### MATHS 761

: Dynamical Systems2024 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.

Prerequisite: B- in both MATHS 340 and 361

1959

#### 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

1960

#### 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

1961

#### MATHS 761

: Dynamical Systems2021 Semester One (1213)

Prerequisite: B- in both MATHS 340 and 361

1962

#### MATHS 761

: Dynamical Systems2020 Semester One (1203)

Prerequisite: B- in both MATHS 340 and 361

1963

#### 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

1964

#### 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

1965

#### 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

1966

#### MATHS 762

: Nonlinear Partial Differential Equations2021 Semester Two (1215)

Prerequisite: B- in both MATHS 340 and 361

1967

#### MATHS 762

: Nonlinear Partial Differential Equations2020 Semester Two (1205)

Prerequisite: B- in both MATHS 340 and 361

1968

#### 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

1969

#### 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

1970

#### 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

1971

#### MATHS 763

: Advanced Partial Differential Equations2021 Semester One (1213)

Prerequisite: B- in both MATHS 340 and 361

1972

#### MATHS 763

: Advanced Partial Differential Equations2020 Semester One (1203)

Prerequisite: B- in both MATHS 340 and 361

1973

#### 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

1974

#### 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

1975

#### 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

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149