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Showing 25 course outlines from 722 matches
351
MATHS 162
: Computational Mathematics2021 Semester One (1213)
An introduction to computational mathematics and programming in MATLAB. The course will introduce some basic concepts in computational mathematics and give applications that include cryptography, difference equations, stochastic modelling, graph theory and Markov chains.
Corequisite: ENGGEN 150 or ENGSCI 111 or MATHS 108 or 120 or 150 or 153
Restriction: MATHS 199
Restriction: MATHS 199
352
MATHS 190
: Great Ideas Shaping our World2021 Semester Two (1215)
Mathematics contains many powerful and beautiful ideas that have shaped the way we understand our world. This course explores some of the grand successes of mathematical thinking. No formal mathematics background is required, just curiosity about topics such as infinity, paradoxes, cryptography, knots and fractals.
Restriction: MATHS 190 may not be taken after any Mathematics course at Stage III
353
MATHS 190G
: Great Ideas Shaping our World2021 Semester Two (1215)
Mathematics contains many powerful and beautiful ideas that have shaped the way we understand our world. This course explores some of the grand successes of mathematical thinking. No formal mathematics background is required, just curiosity about topics such as infinity, paradoxes, cryptography, knots and fractals.
No pre-requisites or restrictions
354
MATHS 199
: Advancing in Mathematics2021 Semester One (1213)
An introduction to University level mathematics, for high-achieving students currently at high school. The numerical computing environment MATLAB is used to study beautiful mathematics from algebra, analysis, applied mathematics and combinatorics. Students will learn to write mathematical proofs and create mathematical models to find solutions to real-world problems.
Prerequisite: Departmental approval
355
MATHS 208
: General Mathematics 22021 Semester Two (1215)
This sequel to MATHS 108 features applications from the theory of multi-variable calculus, linear algebra and differential equations to real-life problems in statistics, economics, finance, computer science, and operations research. Matlab is used to develop analytical and numerical methods of solving problems.
Prerequisite: 15 points from MATHS 108, 150, 153, ENGSCI 111, ENGGEN 150, or MATHS 120 and MATHS 130, or B- or higher in MATHS 110
Restriction: Cannot be taken, concurrently with, or after MATHS 250, 253
Restriction: Cannot be taken, concurrently with, or after MATHS 250, 253
356
MATHS 208
: General Mathematics 22021 Semester One (1213)
This sequel to MATHS 108 features applications from the theory of multi-variable calculus, linear algebra and differential equations to real-life problems in statistics, economics, finance, computer science, and operations research. Matlab is used to develop analytical and numerical methods of solving problems.
Prerequisite: 15 points from MATHS 108, 150, 153, ENGSCI 111, ENGGEN 150, or MATHS 120 and MATHS 130, or B- or higher in MATHS 110
Restriction: Cannot be taken, concurrently with, or after MATHS 250, 253
Restriction: Cannot be taken, concurrently with, or after MATHS 250, 253
357
MATHS 208
: General Mathematics 22021 Summer School (1210)
This sequel to MATHS 108 features applications from the theory of multi-variable calculus, linear algebra and differential equations to real-life problems in statistics, economics, finance, computer science, and operations research. Matlab is used to develop analytical and numerical methods of solving problems.
Prerequisite: 15 points from MATHS 108, 150, 153, ENGSCI 111, ENGGEN 150, or MATHS 120 and MATHS 130, or B- or higher in MATHS 110
Restriction: Cannot be taken, concurrently with, or after MATHS 250, 253
Restriction: Cannot be taken, concurrently with, or after MATHS 250, 253
358
MATHS 250
: Algebra and Calculus 22021 Semester Two (1215)
Designed for all students who plan to progress further in mathematics, this course follows directly from MATHS 120 and 130. Covering topics from multivariable calculus and linear algebra, which have many applications in science, engineering and commerce. Students will learn mathematical results and procedures as well as the underpinning ideas and mathematical proofs.
Prerequisite: MATHS 120 and 130, or 15 points from ENGGEN 150, ENGSCI 111, MATHS 150, 153
359
MATHS 250
: Algebra and Calculus 22021 Semester One (1213)
Designed for all students who plan to progress further in mathematics, this course follows directly from MATHS 120 and 130. Covering topics from multivariable calculus and linear algebra, which have many applications in science, engineering and commerce. Students will learn mathematical results and procedures as well as the underpinning ideas and mathematical proofs.
Prerequisite: MATHS 120 and 130, or 15 points from ENGGEN 150, ENGSCI 111, MATHS 150, 153
360
MATHS 253
: Algebra and Calculus 32021 Semester Two (1215)
A sequel to MATHS 250, further developing and bringing together linear algebra and calculus. Students will learn about quadratic forms, projections, spectral decomposition, methods of multicriteria optimisation, double, triple and line integrals, Green’s theorem and applications.
Prerequisite: MATHS 250
361
MATHS 253
: Algebra and Calculus 32021 Semester One (1213)
A sequel to MATHS 250, further developing and bringing together linear algebra and calculus. Students will learn about quadratic forms, projections, spectral decomposition, methods of multicriteria optimisation, double, triple and line integrals, Green’s theorem and applications.
Prerequisite: MATHS 250
362
MATHS 254
: Fundamental Concepts of Mathematics2021 Semester Two (1215)
Fundamentals of mathematics important to many branches of the subject and its applications. Topics include equivalence relations, elementary number theory, counting techniques, elementary probability, geometry, symmetry and metric spaces. This is an essential course for all students advancing beyond Stage II in pure mathematics, and highly suitable for other students in the mathematical sciences.
Corequisite: MATHS 250
Restriction: MATHS 255
Restriction: MATHS 255
363
MATHS 254
: Fundamental Concepts of Mathematics2021 Semester One (1213)
Fundamentals of mathematics important to many branches of the subject and its applications. Topics include equivalence relations, elementary number theory, counting techniques, elementary probability, geometry, symmetry and metric spaces. This is an essential course for all students advancing beyond Stage II in pure mathematics, and highly suitable for other students in the mathematical sciences.
Corequisite: MATHS 250
Restriction: MATHS 255
Restriction: MATHS 255
364
MATHS 260
: Differential Equations2021 Semester Two (1215)
The study of differential equations is central to mathematical modelling of systems that change. Develops methods for understanding the behaviour of solutions to ordinary differential equations. Qualitative and elementary numerical methods for obtaining information about solutions are discussed, as well as some analytical techniques for finding exact solutions in certain cases. Some applications of differential equations to scientific modelling are discussed. A core course for Applied Mathematics.
Prerequisite: MATHS 208 or 250 or ENGSCI 211 or a concurrent enrolment in MATHS 250
365
MATHS 260
: Differential Equations2021 Semester One (1213)
The study of differential equations is central to mathematical modelling of systems that change. Develops methods for understanding the behaviour of solutions to ordinary differential equations. Qualitative and elementary numerical methods for obtaining information about solutions are discussed, as well as some analytical techniques for finding exact solutions in certain cases. Some applications of differential equations to scientific modelling are discussed. A core course for Applied Mathematics.
Prerequisite: MATHS 208 or 250 or ENGSCI 211 or a concurrent enrolment in MATHS 250
366
MATHS 270
: Numerical Computation2021 Semester Two (1215)
Many mathematical models occurring in Science and Engineering cannot be solved exactly using algebra and calculus. Students are introduced to computer-based methods that can be used to find approximate solutions to these problems. The methods covered in the course are powerful yet simple to use. This is a core course for students who wish to advance in Applied Mathematics.
Prerequisite: MATHS 120 and 130, or 15 points from ENGGEN 150, ENGSCI 111, MATHS 108, 110, 150, 153, and 15 points from COMPSCI 101, 105, 130, INFOSYS 110, 120, MATHS 162, 199
367
MATHS 270
: Numerical Computation2021 Semester One (1213)
Many mathematical models occurring in Science and Engineering cannot be solved exactly using algebra and calculus. Students are introduced to computer-based methods that can be used to find approximate solutions to these problems. The methods covered in the course are powerful yet simple to use. This is a core course for students who wish to advance in Applied Mathematics.
Prerequisite: MATHS 120 and 130, or 15 points from ENGGEN 150, ENGSCI 111, MATHS 108, 110, 150, 153, and 15 points from COMPSCI 101, 105, 130, INFOSYS 110, 120, MATHS 162, 199
368
MATHS 302
: Perspectives in Mathematics Education2021 Semester Two (1215)
For people interested in thinking about the social, cultural, political, economic, historical, technological and theoretical ideas that influence mathematics education, who want to understand the forces that shaped their own mathematics education, or who are interested in teaching. Students will develop their ability to communicate ideas in essay form. Recommended preparation: At least 45 points from courses in Mathematics or Statistics.
No pre-requisites or restrictions
369
MATHS 315
: Mathematical Logic2021 Semester Two (1215)
Logic addresses the foundations of mathematical reasoning. It models the process of mathematical proof by providing a setting and the rules of deduction. Builds a basic understanding of first order predicate logic, introduces model theory and demonstrates how models of a first order system relate to mathematical structures. The course is recommended for anyone studying high level computer science or mathematical logic.
Prerequisite: B+ or higher in COMPSCI 225 or MATHS 254 or 255 or PHIL 222
370
MATHS 320
: Algebraic Structures2021 Semester Two (1215)
This is a framework for a unified treatment of many different mathematical structures. It concentrates on the fundamental notions of groups, rings and fields. The abstract descriptions are accompanied by numerous concrete examples. Applications abound: symmetries, geometry, coding theory, cryptography and many more. This course is recommended for those planning graduate study in pure mathematics.
Prerequisite: MATHS 250, and MATHS 254 or 255
371
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
372
MATHS 328
: Algebra and Applications2021 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.
Prerequisite: MATHS 250, and MATHS 254 or 255, or a B+ or higher in COMPSCI 225 and 15 points from MATHS 208, 250, 253
373
MATHS 332
: Real Analysis2021 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.
Prerequisite: MATHS 250, and MATHS 254 or 255 or an A or higher in MATHS 253 and 260
374
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
375
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