2I. M. SIGAL, TAS BEN RIFKIND AND ANDREW STEWART
(b[email protected]) and he will try to set up another meeting time. The oﬃce hours will beheld in BA026
Email help: Ican answer straightforward questions byemail, but Iwill not work through problems.
Section 1.2, Chapters 2, 3, 4and 5of [DD] (Sequences, series, Rn,limits and continuityof functions).
Chapter 6and Section 12.2 of [DD] (Diﬀerentiation and integration).
Sections 7.1,7.2, 7.4 of [DD]. (Vector spaces, norms, convergence (point-set topology), inner products).
Section 8.2 of [DD]. (Spaces of continuous functions, completeness).
Section 7.5 of [DD]. (Orthonormal sets).
Sections 7.5, 7.7 of [DD]. (Projections, Orthonormal expansions).
Sections 7.6 ,14.5 of [DD]. (Fourier series).
Part of Section 11.1 and Sections 12.1, 12.3 -12.5 of [DD] (Contraction principle and Diﬀerential equations).
Material: (Parts of)Sections 16.1, 16.3, 16.4 of [DD] (Convex sets).
(Parts of)Sections 16.5, 16.6, 16.9 of [DD] (Convex functions and optimization).
Homework for the course (from the textbook [DD])
Page 15: Ex A; Page 19, Problems A, D; Page 22, Problems A, B; page 31: Ex A, C.
Page 42, Problems A, B; Pages 51-52, Problems A, C-G, J, K; Page 55, Problems A, B, D.
Pages 71-72, Problems A, C, D, G, H, M; Page 76, Problem A; Pages 79-80, Problems B, D, E-G.
Page 98, Problems A, E, I, N; Page 102, Problems A, H, L; Page 108, Problems D, H; Page 112, Problems Ca, J, K;
Page 300, Problems A-D.
Page 117, Problems C, D, F, G, I; Page 119, Problems A-D, F-H, M, N; Page 127, Problems A-D, F, I-L; Page
132, Problems A, D; Pages 135-136, Problems A-D, E(b), F(a), G(a), I-L; Page 141, Problems B-D, F, G; Page
149: Ex A, B.
Page 251, Problems E, F, H, I; Page 297, Problems A, B, D; Page 304, Problem A, C; Pages 308-309, Problems A,
B, Da, E, Fa, H; Page 315, Problem H.
Pages 454, Problems A, B(a), F; Page 466, Problems A, B, C; Page 472-473, Problems A-D, F, I; Pages 476, Problems
A, B, H; Page 497, Problems A, B.