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...introduction to group theory, one of the three main branches of pure mathematics. Section 1 looks at the set of symmetries of a two-dimensional figure which are then viewed as functions. Section 2 introduces an algebraic notation for recording symmetries and calculating composites and inverses of symmetries. Section 3 introduces definitions and looks at how to check...

...Introduction to number theory, is a branch of mathematics concerned with the properties of integers. Section 1 introduces Euclid’s algorithm, which is used to find the HCF of two integers, and the idea of congruences, mathematical statements used to compare remainders when two integers are each divided by another integer. Section 2 introduces modular arithmetic, in...

...Introduction to differential equations, considers three types of first-order differential equations. Section 1 introduces equations that can be solved by direct integration and section 2 the method of separation of variables. Section 3 looks at applications of differential equations for solving real world problems. Section 4 introduces the integrating factor method for...

...Introduction to the calculus of variations: Introduction - Please note: a Statement of Participation is not issued on this course. This free OpenLearn course, Introduction to the calculus of variations, is an extract from the Open University course MS327 Deterministic and stochastic dynamics, a third level applied mathematics course which is designed to be studied as a...

...introduction to interaction design, explores this topic. You will learn: what interaction design is; the importance of user-centred design - with its goals and principles; how interaction design focuses on the characteristics of the user, their activities and environment; and the core activities and methods of the interaction design process...From apps, phones and...