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Showing 25 course outlines from 3703 matches

1876

MATHS 340

: Real and Complex Calculus
2022 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.
Subject: Mathematics
Prerequisite: MATHS 250
1877

MATHS 340

: Real and Complex Calculus
2021 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.
Subject: Mathematics
Prerequisite: MATHS 250
1878

MATHS 340

: Real and Complex Calculus
2020 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.
Subject: Mathematics
Prerequisite: MATHS 250
1879

MATHS 341

: Complex Analysis
2023 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.
Subject: Mathematics
Prerequisite: MATHS 332 and Departmental approval
Restriction: MATHS 740
1880

MATHS 341

: Complex Analysis
2021 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.
Subject: Mathematics
Prerequisite: MATHS 332 and Departmental approval
Restriction: MATHS 740
1881

MATHS 350

: 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, metrisation, covering spaces, the fundamental group and homology theory. Recommended preparation: MATHS 333.
Subject: Mathematics
Prerequisite: MATHS 332 and Departmental approval
Restriction: MATHS 750
1882

MATHS 350

: 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, metrisation, covering spaces, the fundamental group and homology theory. Recommended preparation: MATHS 333.
Subject: Mathematics
Prerequisite: MATHS 332 and Departmental approval
Restriction: MATHS 750
1883

MATHS 350

: 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, metrisation, covering spaces, the fundamental group and homology theory. Recommended preparation: MATHS 333.
Subject: Mathematics
Prerequisite: MATHS 332 and Departmental approval
Restriction: MATHS 750
1884

MATHS 361

: Partial Differential Equations
2024 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
Subject: Mathematics
Prerequisite: MATHS 250, 260
1885

MATHS 361

: Partial Differential Equations
2023 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.
Subject: Mathematics
Prerequisite: MATHS 250, 260
1886

MATHS 361

: Partial Differential Equations
2022 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.
Subject: Mathematics
Prerequisite: MATHS 250, 260
1887

MATHS 361

: Partial Differential Equations
2021 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.
Subject: Mathematics
Prerequisite: MATHS 250, 260
1888

MATHS 361

: Partial Differential Equations
2020 Semester One (1203)
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.
Subject: Mathematics
Prerequisite: MATHS 250, 260
1889

MATHS 362

: Methods in Applied Mathematics
2024 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
Subject: Mathematics
Prerequisite: MATHS 250, 260
1890

MATHS 362

: Methods in Applied Mathematics
2023 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.
Subject: Mathematics
Prerequisite:MATHS 250, 260
1891

MATHS 362

: Methods in Applied Mathematics
2022 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.
Subject: Mathematics
Prerequisite:MATHS 250, 260
1892

MATHS 362

: Methods in Applied Mathematics
2021 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.
Subject: Mathematics
Prerequisite:MATHS 250, 260
1893

MATHS 362

: Methods in Applied Mathematics
2020 Semester Two (1205)
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.
Subject: Mathematics
Prerequisite:MATHS 250, 260
1894

MATHS 363

: Advanced Computational Mathematics
2024 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
Subject: Mathematics
Prerequisite: MATHS 260 and 270
1895

MATHS 363

: Advanced Modelling and Computation
2023 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.
Subject: Mathematics
Prerequisite: MATHS 260 and 270
1896

MATHS 363

: Advanced Modelling and Computation
2022 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.
Subject: Mathematics
Prerequisite: MATHS 260 and 270
1897

MATHS 363

: Advanced Modelling and Computation
2021 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.
Subject: Mathematics
Prerequisite: MATHS 260 and 270
1898

MATHS 363

: Advanced Modelling and Computation
2020 Semester One (1203)
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.
Subject: Mathematics
Prerequisite: MATHS 260 and 270
1899

MATHS 399

: Capstone: Mathematics
2024 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.
Subject: Mathematics
Prerequisite: MATHS 250 and 30 points at Stage III in Mathematics
1900

MATHS 399

: Capstone: Mathematics
2024 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.
Subject: Mathematics
Prerequisite: MATHS 250 and 30 points at Stage III in Mathematics