On successful completion of the module, students should be able to:
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State the basic properties of the real numbers
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Define the limit of a sequence and the limit of a function at a given point.
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Prove using rigorous methods that a sequence has a given limit.
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Prove using rigorous methods that a function has a given limit at a given point.
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Define what it means to say that a series converges.
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Prove that some simple series converge.
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Prove simple analytic statements using rigorous arguments.
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Demonstrate how analysis could be taught in a second level classroom.
ANALYSIS I (E)
