MAA 6229 Analysis II

Professor: Jason Swanson

Old Analysis I homepage

Lecture notes

Important corrections

Disclaimer: These notes may have typos, omissions, or other mistakes, and may differ from the material presented in class.

1 Number systems (pp. 1-65)
2 Metric spaces (pp. 65-110)
3 Sequences and series (pp. 111-159)
4 Continuity (pp. 160-207)
5 Differentiation (pp. 207-242)
6 Riemann-Stieltjes integration (pp. 242-262)
7 Some special functions (pp. 262-278)
8 Linear transformations (pp. 279-314)
9 Functions of several variables (pp. 315-355)
10 Measure and integration (pp. 356-544)
11 Topological spaces (pp. 545-562)
12 Banach spaces (pp. 562-656)
13 Hilbert spaces (pp. 656-679)
14 Bounded linear operators (pp. 680-726)
15 Distributions and the Fourier transform (pp. 726-844)
16 Polar coordinates in Rⁿ (pp. 845-852)
17 Signed measures and the Radon-Nikodym derivative (pp. 853-873)

Homework

Homework #1
Homework #2
Homework #3
Homework #4
Homework #5
Homework #6
Homework #7
Homework #8
Homework #9
Homework #10
Homework #11
Homework #12
Homework #13

Exams and practice problems

Analysis I midterm (Fall 2011)
Analysis I final (Fall 2011)
Analysis II midterm (Spring 2012)
Analysis II final (Spring 2012)
Practice problems