• Announcements: Hello! Don't forget that HW1 is due today by 11.59pm via Blackboard. The new homework set HW2 will be posted online soon, and answers to HW1 will appear shortly as well. As always, if you have questions, please send me an email or look for me on Zoom during office hours and I will be happy to discuss the details with you.

• Video 1: Definition of metric space
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• Video 2: Definitions regarding metric spaces (Part 1)
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• Video 3: Definitions regarding metric spaces (Part 2)
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• Video 4: Examples of subsets inside the metric space $\mathbb R^2$
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• Video 5: Taking complements interchanges being open and closed
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• Video 6: Unions and intersections of open and closed sets
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• Video 7: More on open and closed sets, and the closure of a set
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• Video 8: Openness is relative (to the ambient metric space)
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• Lecture Notes (static file from above videos): PDF file