Search Course Outline

Showing 25 course outlines from 2938 matches

1501

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
1502

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
1503

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
1504

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
1505

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
1506

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
1507

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
1508

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
1509

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
1510

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
1511

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
1512

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
1513

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
1514

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
1515

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
1516

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
1517

MATHS 399

: Capstone: Mathematics
2023 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.
Subject: Mathematics
Prerequisite: MATHS 250 and 30 points at Stage III in Mathematics
1518

MATHS 399

: Capstone: Mathematics
2023 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.
Subject: Mathematics
Prerequisite: MATHS 250 and 30 points at Stage III in Mathematics
1519

MATHS 399

: Capstone: Mathematics
2022 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.
Subject: Mathematics
Prerequisite: MATHS 250 and 30 points at Stage III in Mathematics
1520

MATHS 399

: Capstone: Mathematics
2022 Semester One (1223)
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
1521

MATHS 399

: Capstone: Mathematics
2021 Semester Two (1215)
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
1522

MATHS 399

: Capstone: Mathematics
2021 Semester One (1213)
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
1523

MATHS 399

: Capstone: Mathematics
2020 Semester Two (1205)
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
1524

MATHS 701

: Introduction to Research in Mathematics Education
2022 Semester Two (1225)
What is Mathematics Education research, and how can it inform practice? This course introduces a range of skills and methods for conducting and critically consuming research in mathematics education. Students will explore issues and techniques in Mathematics Education research as they design their own research studies to inform their teaching and learning practice.
Subject: Mathematics
Prerequisite: MATHS 302 or significant teaching experience or department approval
1525

MATHS 702

: Mathematical Processes in the Curriculum
2023 Semester Two (1235)
Historically, mathematics curricula have emphasised the what of mathematics (content), at the expense of considering the how. This course uses hands-on experiences and research literature to explore how to teach, learn and do mathematics through processes such as communication, modelling, problem solving, and proving.
Subject: Mathematics
No pre-requisites or restrictions