 V5. Simply-Connected Regions

Supplementary course notes issued by Massachusetts Institute of Technology and hosted by MIT OpenCourseWare. No individual note author is independently verified. The final-page course imprint gives Fall 2010; this identifies the course term.

Online text: ocw.mit.edu/courses/18-02sc-multivariable-calculus-fall-2010/1bc33736db05b99f564ba15fe7174311_MIT18_02SC_MNotes_v5.pdf

Cited passages: p. 1, §1, Extended Green’s Theorem, equation (1): full boundary and induced orientation; subdivision proof: opposite cut integrals cancel; pp. 1–2, §2: excluded origin; pp. 2–3, theorem (3) and Curl Theorem: simply connected domain and global potential. Institutional imprint: p. 5.