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Related lectures (31)

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Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.

Covers the calculation of areas of regions in the plane using integrals and explores convex functions.

Explores the convergence and divergence of generalized integrals using comparison methods and variable transformations.

Covers Riemann sums, definite integrals, Taylor series, and exponential of complex numbers.

Covers the application of Green's Theorem in analyzing vector fields and calculating line integrals.

Covers double integrals in compact domains with problematic boundaries and the importance of considering negligible boundaries.

Explores multiple integration in R², focusing on double integrals over closed rectangles and the Fubini theorem.

Covers the definition and properties of multiple integrals, including double and triple integrals.

Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.

Covers the concept of line integrals and their application in vector fields.