# Search Course Outline

### Showing 25 course outlines from 3697 matches

1851

#### MATHS 326

: Combinatorics2021 Semester One (1213)

Combinatorics is a branch of mathematics that studies collections of objects that satisfy specified criteria. An important part of combinatorics is graph theory, which is now connected to other disciplines including bioinformatics, electrical engineering, molecular chemistry and social science. The use of combinatorics in solving counting and construction problems is covered using topics that include algorithmic graph theory, codes and incidence structures, and combinatorial complexity.

Prerequisite: MATHS 254 or 255, or MATHS 250 and a B+ or higher in COMPSCI 225, or a B+ or higher in both COMPSCI 225 and MATHS 208

1852

#### MATHS 326

: Combinatorics2020 Semester One (1203)

Combinatorics is a branch of mathematics that studies collections of objects that satisfy specified criteria. An important part of combinatorics is graph theory, which is now connected to other disciplines including bioinformatics, electrical engineering, molecular chemistry and social science. The use of combinatorics in solving counting and construction problems is covered using topics that include algorithmic graph theory, codes and incidence structures, and combinatorial complexity.

Prerequisite: MATHS 254 or 255, or COMPSCI 225 and a B+ or higher in MATHS 208, or COMPSCI 225 and MATHS 250

1853

#### MATHS 328

: Algebra and Applications2024 Semester One (1243)

The goal of this course is to show the power of algebra and number theory in the real world. It concentrates on concrete objects like polynomial rings, finite fields, groups of points on elliptic curves, studies their elementary properties and shows their exceptional applicability to various problems in information technology including cryptography, secret sharing, and reliable transmission of information through an unreliable channel.

Prerequisite: MATHS 250 and 254, or a B+ or higher in COMPSCI 225 and 15 points from MATHS 250, 253

1854

#### MATHS 328

: Algebra and Applications2023 Semester One (1233)

The goal of this course is to show the power of algebra and number theory in the real world. It concentrates on concrete objects like polynomial rings, finite fields, groups of points on elliptic curves, studies their elementary properties and shows their exceptional applicability to various problems in information technology including cryptography, secret sharing, and reliable transmission of information through an unreliable channel.

Prerequisite: MATHS 250 and 254, or a B+ or higher in COMPSCI 225 and 15 points from MATHS 250, 253

1855

#### MATHS 328

: Algebra and Applications2022 Semester One (1223)

The goal of this course is to show the power of algebra and number theory in the real world. It concentrates on concrete objects like polynomial rings, finite fields, groups of points on elliptic curves, studies their elementary properties and shows their exceptional applicability to various problems in information technology including cryptography, secret sharing, and reliable transmission of information through an unreliable channel.

Prerequisite: MATHS 250, and 254 or 255, or a B+ or higher in COMPSCI 225 and 15 points from MATHS 250, 253

1856

#### MATHS 328

: Algebra and Applications2021 Semester One (1213)

Prerequisite: MATHS 250, and MATHS 254 or 255, or a B+ or higher in COMPSCI 225 and 15 points from MATHS 208, 250, 253

1857

#### MATHS 328

: Algebra and Applications2020 Semester One (1203)

Prerequisite: MATHS 250, and MATHS 254 or 255, or a B+ or higher in COMPSCI 225 and 15 points from MATHS 208, 250, 253

1858

#### MATHS 332

: Real Analysis2024 Semester Two (1245)

A standard course for every student intending to advance in pure mathematics. It develops the foundational mathematics underlying calculus, it introduces a rigorous approach to continuous mathematics and fosters an understanding of the special thinking and arguments involved in this area. The main focus is analysis in one real variable with the topics including real fields, limits and continuity, Riemann integration and power series.

Prerequisite: MATHS 250, 254

1859

#### MATHS 332

: Real Analysis2023 Semester Two (1235)

A standard course for every student intending to advance in pure mathematics. It develops the foundational mathematics underlying calculus, it introduces a rigorous approach to continuous mathematics and fosters an understanding of the special thinking and arguments involved in this area. The main focus is analysis in one real variable with the topics including real fields, limits and continuity, Riemann integration and power series.

Prerequisite: MATHS 250, 254

1860

#### MATHS 332

: Real Analysis2022 Semester Two (1225)

A standard course for every student intending to advance in pure mathematics. It develops the foundational mathematics underlying calculus, it introduces a rigorous approach to continuous mathematics and fosters an understanding of the special thinking and arguments involved in this area. The main focus is analysis in one real variable with the topics including real fields, limits and continuity, Riemann integration and power series.

Prerequisite: MATHS 250 and 254 or 255

1861

#### MATHS 332

: Real Analysis2021 Semester Two (1215)

Prerequisite: MATHS 250, and MATHS 254 or 255 or an A or higher in MATHS 253 and 260

1862

#### MATHS 332

: Real Analysis2020 Semester Two (1205)

Prerequisite: MATHS 250, and MATHS 254 or 255 or an A or higher in MATHS 253 and 260

1863

#### MATHS 333

: Analysis in Higher Dimensions2024 Semester One (1243)

By selecting the important properties of distance many different mathematical contexts are studied simultaneously in the framework of metric and normed spaces. This course examines carefully the ways in which the derivative generalises to higher dimensional situations. These concepts lead to precise studies of continuity, fixed points and the solution of differential equations. A recommended course for all students planning to advance in pure mathematics.

Prerequisite: MATHS 332 or a B or higher in MATHS 254

1864

#### MATHS 333

: Analysis in Higher Dimensions2023 Semester One (1233)

By selecting the important properties of distance many different mathematical contexts are studied simultaneously in the framework of metric and normed spaces. Examines carefully the ways in which the derivative generalises to higher dimensional situations. These concepts lead to precise studies of continuity, fixed points and the solution of differential equations. A recommended course for all students planning to advance in pure mathematics.

Prerequisite: MATHS 332 or a B or higher in MATHS 254

1865

#### MATHS 333

: Analysis in Higher Dimensions2022 Semester One (1223)

By selecting the important properties of distance many different mathematical contexts are studied simultaneously in the framework of metric and normed spaces. Examines carefully the ways in which the derivative generalises to higher dimensional situations. These concepts lead to precise studies of continuity, fixed points and the solution of differential equations. A recommended course for all students planning to advance in pure mathematics.

Prerequisite: MATHS 332 or a B or higher in MATHS 254

1866

#### MATHS 333

: Analysis in Higher Dimensions2021 Semester One (1213)

By selecting the important properties of distance many different mathematical contexts are studied simultaneously in the framework of metric and normed spaces. Examines carefully the ways in which the derivative generalises to higher dimensional situations. These concepts lead to precise studies of continuity, fixed points and the solution of differential equations. A recommended course for all students planning to advance in pure mathematics.

Prerequisite: MATHS 332

1867

#### MATHS 333

: Analysis in Higher Dimensions2020 Semester One (1203)

Prerequisite: MATHS 332

1868

#### MATHS 334

: Algebraic Geometry2023 Semester Two (1235)

Algebraic geometry is a branch of mathematics studying zeros of polynomials. The fundamental objects in algebraic geometry are algebraic varieties i.e., solution sets of systems of polynomial equations.

Prerequisite: MATHS 332, and at least one of MATHS 320, 328 and Departmental approval

Restriction: MATHS 734

Restriction: MATHS 734

1869

#### MATHS 334

: Algebraic Geometry2021 Semester Two (1215)

Algebraic geometry is a branch of mathematics studying zeros of polynomials. The fundamental objects in algebraic geometry are algebraic varieties i.e., solution sets of systems of polynomial equations.

Prerequisite: MATHS 332, and at least one of MATHS 320, 328 and Departmental approval

Restriction: MATHS 734

Restriction: MATHS 734

1870

#### MATHS 340

: Real and Complex Calculus2024 Semester Two (1245)

Calculus plays a fundamental role in mathematics, answering deep theoretical problems and allowing us to solve very practical problems. This course extends the ideas of calculus to two and higher dimensions, showing how to calculate integrals and derivatives in higher dimensions and exploring special relationships between integrals of different dimensions. It also extends calculus to complex variables. Recommended preparation: MATHS 253

Prerequisite: MATHS 250

1871

#### MATHS 340

: Real and Complex Calculus2023 Semester Two (1235)

Calculus plays a fundamental role in mathematics, answering deep theoretical problems and allowing us to solve very practical problems. Extends the ideas of calculus to two and higher dimensions, showing how to calculate integrals and derivatives in higher dimensions and exploring special relationships between integrals of different dimensions. It also extends calculus to complex variables. Recommended preparation: MATHS 253.

Prerequisite: MATHS 250

1872

#### MATHS 340

: Real and Complex Calculus2022 Semester Two (1225)

Calculus plays a fundamental role in mathematics, answering deep theoretical problems and allowing us to solve very practical problems. Extends the ideas of calculus to two and higher dimensions, showing how to calculate integrals and derivatives in higher dimensions and exploring special relationships between integrals of different dimensions. It also extends calculus to complex variables. Recommended preparation: MATHS 253.

Prerequisite: MATHS 250

1873

#### MATHS 340

: Real and Complex Calculus2021 Semester Two (1215)

Calculus plays a fundamental role in mathematics, answering deep theoretical problems and allowing us to solve very practical problems. Extends the ideas of calculus to two and higher dimensions, showing how to calculate integrals and derivatives in higher dimensions and exploring special relationships between integrals of different dimensions. It also extends calculus to complex variables. Recommended preparation: MATHS 253.

Prerequisite: MATHS 250

1874

#### MATHS 340

: Real and Complex Calculus2020 Semester Two (1205)

Prerequisite: MATHS 250

1875

#### 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

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