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This course is an introduction to group theory, one of the three main branches of pure mathematics.
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36
English
English [CC]
FREE
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Description
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 axioms for a group. Section 4 looks at how to prove that some properties of groups already looked at are general properties shared by all groups. Section 5 extends the ideas of symmetry to three-dimensions.
Course learning outcomes
After studying this course, you should be able to:
- Explain what is meant by a symmetry of a plane figure
- FInd the composite of two symmetries
- Find the inverse of a symmetry
- Determine whether a given set and binary operation form a group by checking group axioms
- Describe the symmetries of some bounded three-dimensional figures.
Course content
- Introduction 00:25:00
- Learning outcomes 00:07:00
- Link to course PDF 00:30:00
- Conclusion 00:15:00
Instructor
Open University UK
4.8
4.8
14
42472
1068
