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Showing 25 course outlines from 4702 matches

2376

MATHS 713

: Logic and Set Theory
2025 Semester Two (1255)
A study of the foundations of pure mathematics, formalising the notions of a 'mathematical proof' and 'mathematical structure' through predicate calculus and model theory. It includes a study of axiomatic set theory.
Subject: Mathematics
Prerequisite: MATHS 315 or PHIL 305
2377

MATHS 714

: Number Theory
2025 Semester Two (1255)
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
2378

MATHS 714

: Number Theory
2024 Semester Two (1245)
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
2379

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
2380

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
2381

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
2382

MATHS 715

: Graph Theory and Combinatorics
2025 Semester One (1253)
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
2383

MATHS 715

: Graph Theory and Combinatorics
2024 Semester One (1243)
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
2384

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
2385

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
2386

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
2387

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
2388

MATHS 720

: Group Theory
2025 Semester One (1253)
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
2389

MATHS 720

: Group Theory
2024 Semester One (1243)
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
2390

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
2391

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
2392

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
2393

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
2394

MATHS 721

: Representations and Structure of Algebras and Groups
2025 Semester Two (1255)
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
2395

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
2396

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
2397

MATHS 725

: Lie Groups and Lie Algebras
2025 Semester Two (1255)
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
2398

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
2399

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
2400

MATHS 730

: Measure Theory and Integration
2025 Semester One (1253)
Presents the modern elegant theory of integration as developed by Riemann and Lebesgue. This course includes powerful theorems for the interchange of integrals and limits, 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