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Related lectures (32)

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Explores the application of the Gauss/Green theorem to calculate curve integrals along simple closed curves.

Explores integration techniques, including indefinite integrals and variable changes, through trigonometric functions.

Covers the integration of limit expansions and continuous functions by pieces.

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

Covers the fundamentals of calculus, focusing on derivatives and integrals.

Covers the calculation of areas using integrals for geometric regions defined by curves and parametric equations.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Explores differential calculation with hyperbolic functions and Taylor series, emphasizing the importance of signed areas in integrals.

Explores improper integrals, convergence criteria, comparison theorems, and solid revolution.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.