MATH-425B, (Undergrad) Real Analysis II

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.

  HW1 [blank] [sol] (nets)	HW2 [blank] [sol] (limsup, liminf, & rigorous natural logarithm)	HW3 [blank] [sol] (differentiation of series)	HW4 [blank] [sol] (Dini’s theorem)
  HW5 [blank] [sol] (function convergence)	HW6 [blank] [sol] (equicontinuity)	HW7 [blank] [sol] (Fourier series, part 0)	HW8 [blank] [sol] (Fourier series, part 2)
  HW9 [blank] [sol] (Picard-Lindelöf & Fourier on convolution)	HW10 [blank] [sol] (norm equivalence & Fourier on differentiation)	HW11 [blank] [sol] (Poisson summation formula)	HW12 [blank] [sol] (universal properties & tensor products)
  HW13 [blank] [sol] (more on tensor products & direct products)	HW14 [blank] [sol] (wedge products and differential forms)	HW15 (Maxwell equations) [blank missing] [sol missing]

• Exams. Midterm 1, midterm 2, and the seemingly 30-page-long final exam with a blank version.