MATH 2ZZ3 Lecture Notes - Lecture 10: Dd National, Parametric Surface, Dirichlet Problem

• School: McMaster University
• Department: Mathematics
• Course: MATH 2ZZ3
• Professor: David Lozinski

Document Summary

Math objects made using mathtype; graphs made using winplot. Exam: 20 questions, 4 sa (6 marks each), including 1 proof, 16 mc (3 marks each) Integration: pde, more weight on new stuff, surface integrals (especially stewart"s stuff) Chapters: 12. 1 12. 4, 9. 1 9. 17, 13. 1 13. 6. There"s no time, so there won"t be initial conditions. Boundary conditions (bcs): two groups one for boundaries along x-axis; one for boundaries along y-axis u x. , 0 u x u x y u. So it only contains sinh terms. y n a n. A n cos n x a sinh n y a. Although the solutions satisfy pde and homogeneous bcs, we still need to satisfy the inhomogeneous bcs. Apply inhomogeneous bcs: (plug in y = b) n y a n x a sinh. A n cos n x a sinh n b a. This currently looks like the half-range expansion of f in a cosine series.