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Explores notational meaning in Analyse III through examples of shear flow and rotational equations, emphasizing the significance of vector fields and line integrals.
Explores curve integrals of vector fields, emphasizing energy considerations for motion against or with wind, and introduces unit tangent and unit normal vectors.
Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.
Explores advanced integration techniques such as change of variable and integration by parts to simplify complex integrals and solve challenging integration problems.
