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Related lectures (29)
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Integration Techniques: Change of Variable and Integration by Parts
Explores advanced integration techniques such as change of variable and integration by parts to simplify complex integrals and solve challenging integration problems.
Improper Integrals: Convergence and Comparison
Explores improper integrals, convergence criteria, comparison theorems, and solid revolution.
Analytic Continuation: Residue Theorem
Covers the concept of analytic continuation and the application of the Residue Theorem to solve for functions.
Comparison Series and Integrals
Explores the relationship between series and integrals, highlighting convergence criteria and function examples.
Curve Integrals: Gauss/Green Theorem
Explores the application of the Gauss/Green theorem to calculate curve integrals along simple closed curves.
Green's Functions in Laplace Equations
Covers the concept of Green's functions in Laplace equations and their solution construction process.
Functions xr, r>0, on 10,1
Covers the properties of functions xr, r>0, on 10,1, including limits and integrals.
Magnetostatics: Magnetic Field and Force
Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.
Unclosed Curves Integrals
Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.
Geometric Meaning of Line Integrals
Explores the geometric interpretation of line integrals in altimetric profiles of cycling stages.
