# Search Course Outline

### Showing 25 course outlines from 3703 matches

1876

#### MATHS 340

: Real and Complex Calculus2022 Semester Two (1225)

Calculus plays a fundamental role in mathematics, answering deep theoretical problems and allowing us to solve very practical problems. Extends the ideas of calculus to two and higher dimensions, showing how to calculate integrals and derivatives in higher dimensions and exploring special relationships between integrals of different dimensions. It also extends calculus to complex variables. Recommended preparation: MATHS 253.

Prerequisite: MATHS 250

1877

#### MATHS 340

: Real and Complex Calculus2021 Semester Two (1215)

Calculus plays a fundamental role in mathematics, answering deep theoretical problems and allowing us to solve very practical problems. Extends the ideas of calculus to two and higher dimensions, showing how to calculate integrals and derivatives in higher dimensions and exploring special relationships between integrals of different dimensions. It also extends calculus to complex variables. Recommended preparation: MATHS 253.

Prerequisite: MATHS 250

1878

#### MATHS 340

: Real and Complex Calculus2020 Semester Two (1205)

Calculus plays a fundamental role in mathematics, answering deep theoretical problems and allowing us to solve very practical problems. Extends the ideas of calculus to two and higher dimensions, showing how to calculate integrals and derivatives in higher dimensions and exploring special relationships between integrals of different dimensions. It also extends calculus to complex variables. Recommended preparation: MATHS 253.

Prerequisite: MATHS 250

1879

#### MATHS 341

: Complex Analysis2023 Semester One (1233)

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 and Departmental approval

Restriction: MATHS 740

Restriction: MATHS 740

1880

#### MATHS 341

: Complex Analysis2021 Semester One (1213)

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 and Departmental approval

Restriction: MATHS 740

Restriction: MATHS 740

1881

#### MATHS 350

: 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, metrisation, covering spaces, the fundamental group and homology theory. Recommended preparation: MATHS 333.

Prerequisite: MATHS 332 and Departmental approval

Restriction: MATHS 750

Restriction: MATHS 750

1882

#### MATHS 350

: 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, metrisation, covering spaces, the fundamental group and homology theory. Recommended preparation: MATHS 333.

Prerequisite: MATHS 332 and Departmental approval

Restriction: MATHS 750

Restriction: MATHS 750

1883

#### MATHS 350

: 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, metrisation, covering spaces, the fundamental group and homology theory. Recommended preparation: MATHS 333.

Prerequisite: MATHS 332 and Departmental approval

Restriction: MATHS 750

Restriction: MATHS 750

1884

#### MATHS 361

: Partial Differential Equations2024 Semester One (1243)

Partial differential equations (PDEs) are used to model many important applications of phenomena in the real world such as electric fields, diffusion and wave propagation. Covers linear PDEs, analytical methods for their solution and weak solutions. Recommended preparation: MATHS 253

Prerequisite: MATHS 250, 260

1885

#### MATHS 361

: Partial Differential Equations2023 Semester One (1233)

Partial differential equations (PDEs) are used to model many important applications of phenomena in the real world such as electric fields, diffusion and wave propagation. Covers: linear PDEs and analytical methods for their solution, weak solutions. Recommended preparation: MATHS 253.

Prerequisite: MATHS 250, 260

1886

#### MATHS 361

: Partial Differential Equations2022 Semester One (1223)

Partial differential equations (PDEs) are used to model many important applications of phenomena in the real world such as electric fields, diffusion and wave propagation. Covers: linear PDEs and analytical methods for their solution, weak solutions. Recommended preparation: MATHS 253.

Prerequisite: MATHS 250, 260

1887

#### MATHS 361

: Partial Differential Equations2021 Semester One (1213)

Partial differential equations (PDEs) are used to model many important applications of phenomena in the real world such as electric fields, diffusion and wave propagation. Covers: linear PDEs and analytical methods for their solution, weak solutions. Recommended preparation: MATHS 253.

Prerequisite: MATHS 250, 260

1888

#### MATHS 361

: Partial Differential Equations2020 Semester One (1203)

Prerequisite: MATHS 250, 260

1889

#### MATHS 362

: Methods in Applied Mathematics2024 Semester Two (1245)

Covers a selection of techniques to analyse differential equations including the method of characteristics and asymptotic analysis. These methods are fundamental in the analysis of traffic flows, shocks and fluid flows. Introduces foundational concepts to quantify uncertainty in parameters of differential equations and is recommended for students intending to advance in Applied Mathematics. Recommended preparation: MATHS 253, 361

Prerequisite: MATHS 250, 260

1890

#### MATHS 362

: Methods in Applied Mathematics2023 Semester Two (1235)

Covers a selection of techniques including the calculus of variations, asymptotic methods and models based on conservation laws. These methods are fundamental in the analysis of traffic flow, shocks, fluid flow, as well as in control theory, and the course is recommended for students intending to advance in Applied Mathematics. Recommended preparation: MATHS 253, 361.

Prerequisite:MATHS 250, 260

1891

#### MATHS 362

: Methods in Applied Mathematics2022 Semester Two (1225)

Covers a selection of techniques including the calculus of variations, asymptotic methods and models based on conservation laws. These methods are fundamental in the analysis of traffic flow, shocks, fluid flow, as well as in control theory, and the course is recommended for students intending to advance in Applied Mathematics. Recommended preparation: MATHS 253, 361.

Prerequisite:MATHS 250, 260

1892

#### MATHS 362

: Methods in Applied Mathematics2021 Semester Two (1215)

Covers a selection of techniques including the calculus of variations, asymptotic methods and models based on conservation laws. These methods are fundamental in the analysis of traffic flow, shocks, fluid flow, as well as in control theory, and the course is recommended for students intending to advance in Applied Mathematics. Recommended preparation: MATHS 253, 361.

Prerequisite:MATHS 250, 260

1893

#### MATHS 362

: Methods in Applied Mathematics2020 Semester Two (1205)

Prerequisite:MATHS 250, 260

1894

#### MATHS 363

: Advanced Computational Mathematics2024 Semester One (1243)

Finite element methods, calculus of variations and control theory are key mathematical tools used to model, compute approximations to model solutions and to understand the control of real-world phenomena. These topics share the same mathematical foundations and can all be described as variational methods. The course offers advanced techniques to handle complicated geometries and optimise desired objectives in applications modelled using differential equations. Recommended preparation: MATHS 253

Prerequisite: MATHS 260 and 270

1895

#### MATHS 363

: Advanced Modelling and Computation2023 Semester One (1233)

In real-world situations, the interesting and important variables are often not directly observable. To address this problem, mathematical models and quantities that are observable are usually employed to carry out inference on the variables of interest. This course is an introduction to fitting of models to (noisy) observational data and how to compute estimates for the interesting variables. Numerical methods for partial differential equations, which are commonly used as models for the observations, will also be covered.

Prerequisite: MATHS 260 and 270

1896

#### MATHS 363

: Advanced Modelling and Computation2022 Semester One (1223)

In real-world situations, the interesting and important variables are often not directly observable. To address this problem, mathematical models and quantities that are observable are usually employed to carry out inference on the variables of interest. This course is an introduction to fitting of models to (noisy) observational data and how to compute estimates for the interesting variables. Numerical methods for partial differential equations, which are commonly used as models for the observations, will also be covered.

Prerequisite: MATHS 260 and 270

1897

#### MATHS 363

: Advanced Modelling and Computation2021 Semester One (1213)

In real-world situations, the interesting and important variables are often not directly observable. To address this problem, mathematical models and quantities that are observable are usually employed to carry out inference on the variables of interest. This course is an introduction to fitting of models to (noisy) observational data and how to compute estimates for the interesting variables. Numerical methods for partial differential equations, which are commonly used as models for the observations, will also be covered.

Prerequisite: MATHS 260 and 270

1898

#### MATHS 363

: Advanced Modelling and Computation2020 Semester One (1203)

Prerequisite: MATHS 260 and 270

1899

#### MATHS 399

: Capstone: Mathematics2024 Semester Two (1245)

An exploration of the role of mathematics in society and culture, and the activities performed by mathematicians as teachers, critics, and innovators. Students will develop their skills in communication, critical thinking, teaching, and creative problem solving.

Prerequisite: MATHS 250 and 30 points at Stage III in Mathematics

1900

#### MATHS 399

: Capstone: Mathematics2024 Semester One (1243)

An exploration of the role of mathematics in society and culture, and the activities performed by mathematicians as teachers, critics, and innovators. Students will develop their skills in communication, critical thinking, teaching, and creative problem solving.

Prerequisite: MATHS 250 and 30 points at Stage III in Mathematics

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