MATH240-12S1 (C)
Analysis and Groups
This is a semester one course worth 15 points.
Course Information
This is a course in real analysis and group theory. These are fundamental topics and tools needed for a deeper understanding of almost all mathematics. The course comprises two somewhat different subjects, analysis and groups, both requiring mathematically rigorous thinking. It provides a deeper understanding of the real number system and limits, as well as an introduction to the methods of abstract algebra via the study of symmetries and permutations.
Topics covered:
Analysis: Properties of the real numbers; Convergence and divergence of sequences; Limits and continuity; The Intermediate and Extreme Value Theorems; Series and power series.
Group theory: Groups and symmetry; Subgroups; Permutations; Cyclic, Dihedral and Matrix groups; Isomorphisms; Lagrange's Theorem; Fermat's Little Theorem.
Learning outcomes
By the end of the course, students will be able to:
• understand a range of topics in real analysis and group theory
• formulate formal mathematical arguments and proofs
• work with both concrete examples and more abstract, axiomatic theory
• appreciate the wider relevance of the topics covered
Enquiries
Assoc. Prof. Rick Beatson
Room 602 Erskine Building
Phone Extension 3825
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