Search Course Outline

Showing 25 course outlines from 3697 matches

1851

MATHS 326

: Combinatorics
2021 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.
Subject: Mathematics
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

: Combinatorics
2020 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.
Subject: Mathematics
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 Applications
2024 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.
Subject: Mathematics
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 Applications
2023 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.
Subject: Mathematics
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 Applications
2022 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.
Subject: Mathematics
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 Applications
2021 Semester One (1213)
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.
Subject: Mathematics
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 Applications
2020 Semester One (1203)
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.
Subject: Mathematics
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 Analysis
2024 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.
Subject: Mathematics
Prerequisite: MATHS 250, 254
1859

MATHS 332

: Real Analysis
2023 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.
Subject: Mathematics
Prerequisite: MATHS 250, 254
1860

MATHS 332

: Real Analysis
2022 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.
Subject: Mathematics
Prerequisite: MATHS 250 and 254 or 255
1861

MATHS 332

: Real Analysis
2021 Semester Two (1215)
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.
Subject: Mathematics
Prerequisite: MATHS 250, and MATHS 254 or 255 or an A or higher in MATHS 253 and 260
1862

MATHS 332

: Real Analysis
2020 Semester Two (1205)
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.
Subject: Mathematics
Prerequisite: MATHS 250, and MATHS 254 or 255 or an A or higher in MATHS 253 and 260
1863

MATHS 333

: Analysis in Higher Dimensions
2024 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.
Subject: Mathematics
Prerequisite: MATHS 332 or a B or higher in MATHS 254
1864

MATHS 333

: Analysis in Higher Dimensions
2023 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.
Subject: Mathematics
Prerequisite: MATHS 332 or a B or higher in MATHS 254
1865

MATHS 333

: Analysis in Higher Dimensions
2022 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.
Subject: Mathematics
Prerequisite: MATHS 332 or a B or higher in MATHS 254
1866

MATHS 333

: Analysis in Higher Dimensions
2021 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.
Subject: Mathematics
Prerequisite: MATHS 332
1867

MATHS 333

: Analysis in Higher Dimensions
2020 Semester One (1203)
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.
Subject: Mathematics
Prerequisite: MATHS 332
1868

MATHS 334

: Algebraic Geometry
2023 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.
Subject: Mathematics
Prerequisite: MATHS 332, and at least one of MATHS 320, 328 and Departmental approval
Restriction: MATHS 734
1869

MATHS 334

: Algebraic Geometry
2021 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.
Subject: Mathematics
Prerequisite: MATHS 332, and at least one of MATHS 320, 328 and Departmental approval
Restriction: MATHS 734
1870

MATHS 340

: Real and Complex Calculus
2024 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
Subject: Mathematics
Prerequisite: MATHS 250
1871

MATHS 340

: Real and Complex Calculus
2023 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.
Subject: Mathematics
Prerequisite: MATHS 250
1872

MATHS 340

: Real and Complex Calculus
2022 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.
Subject: Mathematics
Prerequisite: MATHS 250
1873

MATHS 340

: Real and Complex Calculus
2021 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.
Subject: Mathematics
Prerequisite: MATHS 250
1874

MATHS 340

: Real and Complex Calculus
2020 Semester Two (1205)
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.
Subject: Mathematics
Prerequisite: MATHS 250
1875

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