• Announcements: Hello! Please remember that HW5 is due tonight; solutions and the new homework set HW6 will be available soon.

• Video 1: Definitions regarding the Riemann Integral
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• Video 2: Boundedness guarantees that upper and lower sums are well-defined
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• Video 3: Definitions regarding the Riemann-Stieltjes Integral
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• Video 4: Refinements of partitions
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• Video 5: Lower integral $\leq$ upper integral
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• Video 6: Characterization of Riemann-Stieltjes integrability
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• Video 7: Continuous functions are Riemann-Stieltjes integrable
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• Video 8: Monotonic functions are Riemann-Stieltjes integrable (provided the measure is continuous)
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• Lecture Notes (static file from above videos): PDF file