2008 Undergraduate Course descriptions
From MathsDept
91F Template:MATHS 91F:2008 Title
Template:MATHS 91F:2008 Description
92F Template:MATHS 92F:2008 Title
Template:MATHS 92F:2008 Description
93F Foundation Extension Mathematics 1
Template:MATHS 93F:2008 Description
94F Foundation Extension Mathematics 2
Template:MATHS 94F:2008 Description
101 Template:MATHS 101:2008 Title
Template:MATHS 101:2008 Description
102 Template:MATHS 102:2008 Title
Template:MATHS 102:2008 Description
108 Template:MATHS 108:2008 Title
Template:MATHS 108:2008 Description
150 Template:MATHS 150:2008 Title
The main pathway for well prepared students who are planning further courses in the mathematical sciences, including mathematics, statistics, computer science, physics, economics, or finance. It gives an introduction to the use of careful mathematical language and reasoning in the context of the calculus and linear algebra. MATHS 150 is a lot of fun, and is the recommended preparation for MATHS 250.
153 Template:MATHS 153:2008 Title
A version of MATHS 150 for high achieving Year 13 students. Enrolment requires permission from Department.
162 Modelling and Computation
In this introduction to mathematical modelling and scientific computing, students will learn how to formulate mathematical models and how to solve them using numerical and other methods. A core course for students who wish to advance in Applied Mathematics.
190 Template:MATHS 190:2008 Title
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.
202 Template:MATHS 202:2008 Title
Template:MATHS 202:2008 Description
208 Template:MATHS 208:2008 Title
Template:MATHS 208:2008 Description
250 Template:MATHS 250:2008 Title
This preparation for advanced courses in mathematics is intended for all students who plan to progress further in mathematics. Covers material from multivariable calculus and linear algebra that has many applications in science, engineering and commerce. The emphasis is on both the results and the ideas underpinning these.
253 Template:MATHS 253:2008 Title
Template:MATHS 253:2008 Description
255 Template:MATHS 255:2008 Title
Template:MATHS 255:2008 Description
260 Template:MATHS 260:2008 Title
Template:MATHS 260:2008 Description
270 Template:MATHS 270:2008 Title
Template:MATHS 270:2008 Description
302 Teaching and Learning Mathematics
For people interested in thinking about the social, cultural, political, economic, historical, technological and theoretical ideas that influence mathematics education. Students who want to understand the forces that shaped their own mathematics education or who are interested in teaching will enjoy this course. Students will develop the ability to communicate ideas in essay form.
310 Template:MATHS 310:2008 Title
Template:MATHS 310:2008 Description
315 Template:MATHS 315:2008 Title
Template:MATHS 315:2008 Description
320 Template:MATHS 320:2008 Title
Template:MATHS 320:2008 Description
326 Template:MATHS 326:2008 Title
{{Course description| Description= 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. Explores the use of combinatorics in solving counting and construction problems.
328 Template:MATHS 328:2008 Title
{{Course description| Description= The goal of this course is to show the incredible 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. Among the applications are cryptography, secret sharing, and reliable transmission of information through an unreliable channel.
332 Real Analysis
{{Course description| Description= 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.
333 Analysis in Higher Dimensions
{{Course description| Description= 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.
340 Real and Complex Calculus
{{Course description| Description= 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.
353 Template:MATHS 353:2008 Title
To be announced.
361 Partial Differential Equations
Partial differential equations are used to model many important phenomena in the real world (such as heat flow and wave motion). An introductory course on methods of solution for linear partial differential equations in one, two and three dimensions.
362 Methods in Applied Mathematics
Techniques such as variational methods, Green's functions, and perturbation analysis are a crucial part of the applied mathematician's toolbox. Covers a selection of such advanced topics in detail, and is suitable for those students intending to advance in applied mathematics or physics. Recommended preparation:MATHS 340 and 361
363 Advanced Modelling and Computation
Much of modern research in applied mathematics, physics and engineering relies heavily on the construction and numerical solution of mathematical models. Covers the theory and practice of such computational approaches, including the study of numerical linear algebra and differential equations, and bifurcations in ordinary differential equations. Matlab is used extensively
