MATH460 — Continuous Functions
5 credits
CIM Verified
Develops foundations of real analysis including topology of Euclidean space, continuity, sequences, series, and rigorous calculus foundations.
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Learning Objectives & Matches
LO1
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Determine the type of a topological space specified by a topology on an infinite set
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LO1
Apply real analysis fundamentals including limits, continuity, and convergence
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LO2
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Apply the intermediate value theorem to a problem in a general setting
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LO2
Prove theorems about continuous functions using epsilon-delta methods
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LO3
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Apply the extreme value theorem to a problem in a general setting
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LO3
Analyze topological properties of Euclidean space
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LO4
Apply rigorous foundations to calculus concepts and proofs
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LO5
Analyze uniform continuity and convergence of function sequences
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LO6
Develop mathematical rigor in analysis and proof techniques
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LO7
Apply compactness and connectedness to analysis problems
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Source:
Official CIM from EWU
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