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Showing 25 course outlines from 3701 matches
1876
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
1877
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
1878
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
1879
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
1880
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
1881
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
1882
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
1883
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
1884
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
1885
MATHS 361
: Partial Differential Equations2020 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.
Prerequisite: MATHS 250, 260
1886
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
1887
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
1888
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
1889
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
1890
MATHS 362
: Methods in Applied Mathematics2020 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.
Prerequisite:MATHS 250, 260
1891
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
1892
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
1893
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
1894
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
1895
MATHS 363
: Advanced Modelling and Computation2020 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.
Prerequisite: MATHS 260 and 270
1896
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
1897
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
1898
MATHS 399
: Capstone: Mathematics2023 Semester Two (1235)
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
1899
MATHS 399
: Capstone: Mathematics2023 Semester One (1233)
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: Mathematics2022 Semester Two (1225)
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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