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Lecture
Riemann Integral: Introduction and Example
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Definite Integral: Riemann Sum
Introduces Riemann sums as approximations of the area under a function's graph.
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Covers the definition and properties of multiple integrals, including double and triple integrals.
Integral Calculus: Techniques and Applications
Explores integral calculus techniques, areas under graphs, Darboux sums, and the fundamental theorem of calculus.
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Explores the construction and properties of the Riemann integral, including integral properties and mean value theorem.
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Explores Fubini's Theorem for multiple integrals, emphasizing the n=2 case.
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Covers the definition of integrals of type 1 and the importance of continuity.
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Explores the extension and properties of multiple integrals for continuous functions on rectangles.