# Search Course Outline

### Showing 25 course outlines from 2938 matches

1526

#### MATHS 702

: Mathematical Processes in the Curriculum2021 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.

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.

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.

Prerequisite: MATHS 302 or significant teaching experience or department approval

1529

#### MATHS 708

: Special Topic2020 Semester Two (1205)

Prerequisite: MATHS 302 or significant teaching experience or department approval

1530

#### MATHS 710

: Directed Study in Mathematics Education2020 Summer School (1200)

Prerequisite: MATHS 302 or significant teaching experience or department approval

1531

#### MATHS 712

: Teaching and Learning in Algebra2023 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.

Prerequisite: MATHS 302 or significant teaching experience or department approval

1532

#### MATHS 712

: Teaching and Learning in Algebra2020 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.

Prerequisite: MATHS 302 or significant teaching experience or department approval

1533

#### MATHS 714

: Number Theory2022 Semester Two (1225)

A broad introduction to various aspects of elementary, algebraic and computational number theory and its applications, including primality testing and cryptography.

Prerequisite: B+ in MATHS 328 or 320

1534

#### MATHS 714

: Number Theory2021 Semester Two (1215)

A broad introduction to various aspects of elementary, algebraic and computational number theory and its applications, including primality testing and cryptography.

Prerequisite: B+ in MATHS 328 or 320

1535

#### MATHS 714

: Number Theory2020 Semester Two (1205)

A broad introduction to various aspects of elementary, algebraic and computational number theory and its applications, including primality testing and cryptography.

Prerequisite: B+ in MATHS 328 or 320

1536

#### MATHS 715

: Graph Theory and Combinatorics2023 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.

Prerequisite: 15 points from MATHS 320, 326, 328 with a B or higher

1537

#### MATHS 715

: Graph Theory and Combinatorics2022 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.

Prerequisite: 15 points from MATHS 320, 326, 328 with a B or higher

1538

#### MATHS 715

: Graph Theory and Combinatorics2021 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.

Prerequisite: B+ pass in MATHS 326 or 320

1539

#### MATHS 715

: Graph Theory and Combinatorics2020 Semester One (1203)

Prerequisite: B+ pass in MATHS 326 or 320

1540

#### MATHS 720

: Group Theory2023 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.

Prerequisite: MATHS 320

1541

#### MATHS 720

: Group Theory2022 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.

Prerequisite: MATHS 320

1542

#### MATHS 720

: Group Theory2021 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.

Prerequisite: MATHS 320

1543

#### MATHS 720

: Group Theory2020 Semester One (1203)

Prerequisite: MATHS 320

1544

#### MATHS 721

: Representations and Structure of Algebras and Groups2022 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.

Prerequisite: MATHS 320

1545

#### MATHS 721

: Representations and Structure of Algebras and Groups2020 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.

Prerequisite: MATHS 320

1546

#### MATHS 725

: Lie Groups and Lie Algebras2023 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.

Prerequisite: MATHS 320 and 332

1547

#### MATHS 725

: Lie Groups and Lie Algebras2021 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.

Prerequisite: MATHS 320 and 332

1548

#### MATHS 730

: Measure Theory and Integration2023 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.

Prerequisite: MATHS 332

1549

#### MATHS 730

: Measure Theory and Integration2022 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.

Prerequisite: MATHS 332

1550

#### MATHS 730

: Measure Theory and Integration2021 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.

Prerequisite: MATHS 332

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