Daily Log and Materials

Daily topics, slides, and other stuff (handouts, links, …) will appear here as they occur. Note that the recorded lectures are in Announcements at canvas.alaska.edu/courses/30068.

• Monday 2 March (week 8): Midterm Exam 1
• Friday 27 February: abstract measure spaces, and L^p(X,mu)
• Wednesday 25 February: Lebesgue measurable sets on R^n, and integrals
• Monday 23 February (week 7): calculation cont.
• Friday 20 February: calculation: functions defined in pieces
  blank slides
• Wednesday 18 February: the Fourier ON sequence is complete
• Monday 16 February (week 6): Parseval's equality, Riesz-Fischer
• Friday 13 February: Bessel's inequality
• Wednesday 11 February: calculation cont.
  excellent Fourier series video by 3blue1brown
• Monday 9 February (week 5): calculation cont.
• Friday 6 February: calculation: Fourier series of continuous functions
  blank slides
• Wednesday 4 February: separability, completeness, and Hilbert and Banach spaces
• Monday 2 February (week 4): equicontinuity and Arzela-Ascoli
• Friday 30 January: open, closed, and compact sets in metric spaces
• Wednesday 28 January: calculation cont.
• Monday 26 January (week 3): calculation cont.
• Friday 23 January: calculation: boundary value problems and integral operators
  blank slides
• Wednesday 21 January (week 2): C[0,1] and uniform convergence; sequence spaces
• Monday 19 January: no class (Alaska Civil Rights Day)
• Friday 16 January: normed vector spaces and metric spaces
• Wednesday 14 January: calculation continued
• Monday 12 January (week 1): calculation: integration is a linear functional
  blank slides