20211_math_425b

Fundamental concepts of analysis II, taught by Prof. Andrew Manion.

• Course syllabus
• Lecture notes
• Homeworks. I had never enjoyed doing homeworks this much. Maybe I never will again. This… this was pure intellectual enjoyment. 1 (nets) ‖ 2 (limsup, liminf, & rigorous natural logarithm) ‖ 3 (differentiation of series) ‖ 4 (Dini’s theorem) ‖ 5 (function convergence) ‖ 6 (equicontinuity) ‖ 7 (Fourier series, part 0) ‖ 8 (Fourier series, part 2) ‖ 9 (Picard-Lindelöf & Fourier on convolution) ‖ 10 (norm equivalence & Fourier on differentiation) ‖ 11 (Poisson summation formula) ‖ 12 (universal properties & tensor products) ‖ 13 (more on tensor products & direct products) ‖ 14 (wedge products and differential forms) ‖ I lost my hw15 on Maxwell equations :(
• Along many questions, Prof. Manion provided extremely detailed remarks and insights, and I strongly recommend reading those as well. 1 ‖ 2 ‖ 3 ‖ 4 ‖ 5 ‖ 6 ‖ 7 ‖ 8 ‖ 9 ‖ 10 ‖ 11 ‖ 12 ‖ 13 ‖ 14 ‖ and I need to find 15…
• Exams. Midterm 1, midterm 2, and the seemingly 30-page-long final exam with a blank version.