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Showing 25 course outlines from 2938 matches

1526

MATHS 702

: Mathematical Processes in the Curriculum
2021 Semester Two (1215)
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
1527

MATHS 703

: What Can Be More Practical Than a Good Theory?
2022 Summer School (1220)
An analysis of theoretical perspectives that inform research in mathematics education, with a focus on learning theories, both social and psychological, and their implications for teaching and learning in mathematics.
Subject: Mathematics
Prerequisite: MATHS 302 or significant teaching experience or department approval
1528

MATHS 703

: What Can Be More Practical Than a Good Theory?
2021 Summer School (1210)
An analysis of theoretical perspectives that inform research in mathematics education, with a focus on learning theories, both social and psychological, and their implications for teaching and learning in mathematics.
Subject: Mathematics
Prerequisite: MATHS 302 or significant teaching experience or department approval
1529

MATHS 708

: Special Topic
2020 Semester Two (1205)
Subject: Mathematics
Prerequisite: MATHS 302 or significant teaching experience or department approval
1530

MATHS 710

: Directed Study in Mathematics Education
2020 Summer School (1200)
Subject: Mathematics
Prerequisite: MATHS 302 or significant teaching experience or department approval
1531

MATHS 712

: Teaching and Learning in Algebra
2023 Summer School (1230)
Recent theoretical perspectives on the teaching and learning of school and university mathematics are linked to the learning of either calculus or algebra. The focus is on the mathematics content, applications, and effective learning at school and university. Students taking this course should normally have studied mathematics or statistics at 200 level.
Subject: Mathematics
Prerequisite: MATHS 302 or significant teaching experience or department approval
1532

MATHS 712

: Teaching and Learning in Algebra
2020 Semester One (1203)
Recent theoretical perspectives on the teaching and learning of school and university mathematics are linked to the learning of either calculus or algebra. The focus is on the mathematics content, applications, and effective learning at school and university. Students taking this course should normally have studied mathematics or statistics at 200 level.
Subject: Mathematics
Prerequisite: MATHS 302 or significant teaching experience or department approval
1533

MATHS 714

: Number Theory
2022 Semester Two (1225)
A broad introduction to various aspects of elementary, algebraic and computational number theory and its applications, including primality testing and cryptography.
Subject: Mathematics
Prerequisite: B+ in MATHS 328 or 320
1534

MATHS 714

: Number Theory
2021 Semester Two (1215)
A broad introduction to various aspects of elementary, algebraic and computational number theory and its applications, including primality testing and cryptography.
Subject: Mathematics
Prerequisite: B+ in MATHS 328 or 320
1535

MATHS 714

: Number Theory
2020 Semester Two (1205)
A broad introduction to various aspects of elementary, algebraic and computational number theory and its applications, including primality testing and cryptography.
Subject: Mathematics
Prerequisite: B+ in MATHS 328 or 320
1536

MATHS 715

: Graph Theory and Combinatorics
2023 Semester One (1233)
A study of combinatorial graphs (networks), designs and codes illustrating their application and importance in other branches of mathematics and computer science.
Subject: Mathematics
Prerequisite: 15 points from MATHS 320, 326, 328 with a B or higher
1537

MATHS 715

: Graph Theory and Combinatorics
2022 Semester One (1223)
A study of combinatorial graphs (networks), designs and codes illustrating their application and importance in other branches of mathematics and computer science.
Subject: Mathematics
Prerequisite: 15 points from MATHS 320, 326, 328 with a B or higher
1538

MATHS 715

: Graph Theory and Combinatorics
2021 Semester One (1213)
A study of combinatorial graphs (networks), designs and codes illustrating their application and importance in other branches of mathematics and computer science.
Subject: Mathematics
Prerequisite: B+ pass in MATHS 326 or 320
1539

MATHS 715

: Graph Theory and Combinatorics
2020 Semester One (1203)
A study of combinatorial graphs (networks), designs and codes illustrating their application and importance in other branches of mathematics and computer science.
Subject: Mathematics
Prerequisite: B+ pass in MATHS 326 or 320
1540

MATHS 720

: Group Theory
2023 Semester One (1233)
A study of groups focusing on basic structural properties, presentations, automorphisms and actions on sets, illustrating their fundamental role in the study of symmetry (for example in crystal structures in chemistry and physics), topological spaces, and manifolds.
Subject: Mathematics
Prerequisite: MATHS 320
1541

MATHS 720

: Group Theory
2022 Semester One (1223)
A study of groups focusing on basic structural properties, presentations, automorphisms and actions on sets, illustrating their fundamental role in the study of symmetry (for example in crystal structures in chemistry and physics), topological spaces, and manifolds.
Subject: Mathematics
Prerequisite: MATHS 320
1542

MATHS 720

: Group Theory
2021 Semester One (1213)
A study of groups focusing on basic structural properties, presentations, automorphisms and actions on sets, illustrating their fundamental role in the study of symmetry (for example in crystal structures in chemistry and physics), topological spaces, and manifolds.
Subject: Mathematics
Prerequisite: MATHS 320
1543

MATHS 720

: Group Theory
2020 Semester One (1203)
A study of groups focusing on basic structural properties, presentations, automorphisms and actions on sets, illustrating their fundamental role in the study of symmetry (for example in crystal structures in chemistry and physics), topological spaces, and manifolds.
Subject: Mathematics
Prerequisite: MATHS 320
1544

MATHS 721

: Representations and Structure of Algebras and Groups
2022 Semester Two (1225)
Representation theory studies properties of abstract groups and algebras by representing their elements as linear transformations of vector spaces or matrices, thus reducing many problems about the structures to linear algebra, a well-understood theory.
Subject: Mathematics
Prerequisite: MATHS 320
1545

MATHS 721

: Representations and Structure of Algebras and Groups
2020 Semester Two (1205)
Representation theory studies properties of abstract groups and algebras by representing their elements as linear transformations of vector spaces or matrices, thus reducing many problems about the structures to linear algebra, a well-understood theory.
Subject: Mathematics
Prerequisite: MATHS 320
1546

MATHS 725

: Lie Groups and Lie Algebras
2023 Semester Two (1235)
Symmetries and invariants play a fundamental role in mathematics. Especially important in their study are the Lie groups and the related structures called Lie algebras. These structures have played a pivotal role in many areas, from the theory of differential equations to the classification of elementary particles. Strongly recommended for students advancing in theoretical physics and pure mathematics. Recommended preparation: MATHS 333.
Subject: Mathematics
Prerequisite: MATHS 320 and 332
1547

MATHS 725

: Lie Groups and Lie Algebras
2021 Semester Two (1215)
Symmetries and invariants play a fundamental role in mathematics. Especially important in their study are the Lie groups and the related structures called Lie algebras. These structures have played a pivotal role in many areas, from the theory of differential equations to the classification of elementary particles. Strongly recommended for students advancing in theoretical physics and pure mathematics. Recommended preparation: MATHS 333.
Subject: Mathematics
Prerequisite: MATHS 320 and 332
1548

MATHS 730

: Measure Theory and Integration
2023 Semester One (1233)
Presenting the modern elegant theory of integration as developed by Riemann and Lebesgue, it includes powerful theorems for the interchange of integrals and limits so allowing very general functions to be integrated, and illustrates how the subject is both an essential tool for analysis and a critical foundation for the theory of probability. Strongly recommended: MATHS 333.
Subject: Mathematics
Prerequisite: MATHS 332
1549

MATHS 730

: Measure Theory and Integration
2022 Semester One (1223)
Presenting the modern elegant theory of integration as developed by Riemann and Lebesgue, it includes powerful theorems for the interchange of integrals and limits so allowing very general functions to be integrated, and illustrates how the subject is both an essential tool for analysis and a critical foundation for the theory of probability. Strongly recommended: MATHS 333.
Subject: Mathematics
Prerequisite: MATHS 332
1550

MATHS 730

: Measure Theory and Integration
2021 Semester One (1213)
Presenting the modern elegant theory of integration as developed by Riemann and Lebesgue, it includes powerful theorems for the interchange of integrals and limits so allowing very general functions to be integrated, and illustrates how the subject is both an essential tool for analysis and a critical foundation for the theory of probability. Strongly recommended: MATHS 333.
Subject: Mathematics
Prerequisite: MATHS 332