Introduction to Real Analysis

Winter 2010

Handouts

1. The real line
2. Upper and lower bounds and sups and infs
3. Theorems about sequences
4. Theorems about continuous functions
5. Thinking people’s true false questions 1
6. Thinking people’s true false questions 2
7. Thinking people’s true false questions 3

Homework

1. Review of calculus 3 and set theory, due Wednesday, January 6.
2. Section 0.4, pages 37-44: 2 (a,b,k,h,n,q,t,v,w,y), 11, 16 (a-g), 33, 34, 41, and 49. Section 0.5, pages 46-47: 8 and 9. Due Wednesday, January 13.
3. Page 64: 4 (a, b, g, I, p, y, z, bb), 7, 8; page 72: 3 (b, e, g), 8, 14, 23, 32, 36. Due Wednesday, January 20.
4. Page 79: 1 (f, h, l, n), 6, 7, 8, 14, 17, 19. Due Wednesday, January 27.
5. Page 129: 1 (c, e, I, n, p), 2, 5, 6, 14. Due Wednesday + 1, February 3+1.
6. Page 134: 5, 6, 11, 13, 15, 20, 21, 23, 24, 27. Due Wednesday, February 10.
7. Page 105: 1, 2 (e,o,l,t), 4, 18; page 196: 7, 8, 9; page 207: 21; page 212: 5, 36. Due Wednesday, February 24.
8. Page 299: 15, 12e; page 244: 20 a,b,d,f; page 254: 12, 14; Page 262: 16. Due Wednesday, March 3
9. (SERIES) Page 317: 11, 15, 28; Page 324: 9, 11; Page 338: 14, 19(a); and Page 351: 18. I won’t collect this, but we will discuss them in class on Wednesday.