What is applied mathematics

As in Analysis I and II, abstract reasoning and proof-authoring are key skills emphasised in this course. This course builds on MX Analysis III , continuing the development of multivariable calculus, with a focus on multivariable integration. Hilbert spaces infinite dimensional Euclidean spaces are also introduced.

Students will see the benefit of having acquired the formal reasoning skills developed in Analysis I , II , and III , as it enables them to work with increasingly abstract concepts and deep results. Techniques of rigourous argumentation continue to be a prominent part of the course. Differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology. In this course we will study the concept of a differential equation systematically from a purely mathematical viewpoint.

Such abstraction is fundamental to the understanding of this concept. Select a further 15 credit points from courses of choice, plus select 45 credit points from courses below. The aim of the course is to introduce the basic concepts of metric spaces and their associated topology, and to apply the ideas to Euclidean space and other examples. An excellent introduction to "serious mathematics" based on the usual geometry of the n dimensional spaces.

Many examples of rings will be familiar before entering this course. Examples include the integers modulo n, the complex numbers and n-by-n matrices with real entries.

The course develops from the fundamental definition of ring to study particular classes of rings and how they relate to each other. We also encounter generalisations of familiar concepts, such as what is means for a polynomial to be prime. A knot is a closed curve in three dimensions. How can we tell if two knots are the same? How can we tell if they are different?

This course answers these questions by developing many different "invariants" of knots. It is a pure mathematics course, drawing on simple techniques from a variety of places, but with an emphasis on examples, computations and visual reasoning. PX provides the opportunity to carry out an independent, open-ended, piece of research work. This can be in an area of physics astronomy, nuclear physics, superconductors, dynamical systems etc. The project can be dissertation based, practical or computational.

This will help prepare for your future career beyond university. This course covers the fundamental mathematical concepts required for the description of dynamical systems, i.

It discusses nonlinear systems, for which typically no analytical solutions can be found; these systems are pivotal for the description of natural systems in physics, engineering, biology etc.

Emphasis will be on the study of phase spaces. Next to the theory of relativity and quantum mechanics, chaos and dynamical systems theory is been considered as one of three major advances in the natural sciences.

This course offers the mathematics behind this paradigm changing theory. This course was designed to show you what you can do with everything you learnt in your degree. This course will boost your employability and it will be exciting to see how everything you learnt comes together.

This second part of the course covers more advanced mathematical concepts required for the description of dynamical systems. It continues the study of nonlinear systems, for which typically no analytical solutions can be found; these systems are pivotal for the description of natural systems.

Emphasis will be on the study of higher dimensional and chaotic systems. This second part of the course introduces stability criteria for more complex systems and outlines several key results that govern the behaviour of nonlinear dynamical system, such as requirements for chaotic behaviour and recurrence properties.

Select a further 30 credit points from MX Level 4 courses, plus 15 credit points from courses of choice. We will endeavour to make all course options available; however, these may be subject to timetabling and other constraints. Please see our InfoHub pages for further information. The exact mix of these methods differs between subject areas, year of study and individual courses. The information below is provided as a guide only and does not guarantee entry to the University of Aberdeen. Applicants who have achieved AABB or better , are encouraged to apply and will be considered.

Applicants who have achieved BBB or are on course to achieve this by the end of S5 are encouraged to apply and will be considered. Applicants who have achieved BB, and who meet one of the widening participation criteria are encouraged to apply and will be considered. More information on our definition of Standard, Minimum and Adjusted entry qualifications. The information displayed in this section shows a shortened summary of our entry requirements.

For more information, or for full entry requirements for Arts and Social Sciences degrees, see our detailed entry requirements section. To study for an Undergraduate degree at the University of Aberdeen it is essential that you can speak, understand, read, and write English fluently.

The minimum requirements for this degree are as follows:. Read more about specific English Language requirements here. The University of Aberdeen International Study Centre offers preparation programmes for international students who do not meet the direct entry requirements for undergraduate study. Discover your foundation pathway here. Students from England, Wales and Northern Ireland, who pay tuition fees may be eligible for specific scholarships allowing them to receive additional funding.

Some subjects, such as probability or numerical analysis, have both discrete and continuous aspects. Students planning to go on to graduate work in applied mathematics should also take some basic subjects in analysis and algebra. Massachusetts Institute of Technology Department of Mathematics. For website help or updates, please email Accessibility. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River.

Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Indigenous Initiatives Office.

Skip to main Skip to footer. Applied Mathematics. Current undergraduates Future undergraduates What is Applied Mathematics? Applied Mathematics Future undergraduates. An education in Applied Mathematics: Education gives you not only knowledge, but also the ability to organize and use that knowledge profitably. University of Waterloo. Log in.