Section 14.4. 1,3,5. (17 April)
Section 14.3. 3,5,7. (15 April)
Section 14.2. 3,5,9,13,15. (15 April)
Section 14.1. 1,3,5,7,9. (10 April)
Section 12.6. 1,5,7,9,11. (08 April)
Section 12.5, problems 1,5,7,9. (08 April)
Section 12.4, problems 1,3,7,9. (05 April)
Section 12.2, problems 1,3,5,7,13,17 (use the pigeon hole principle). (03 April)
Section 12.1, problems 1,3,5,7,9,11. (01 April)
Section 11.5, problems 3,5,6,7. (01 April)
Section 11.4, problems 1,3,5. (29 March)
Section 11.3, problems 1,3,5,11,13,15 (done in class). (27 March)
Section 11.2, problems 3,11,13,15,17. (25 March)
Section 11.1, problems 1,5,7,11. (25 March)
Chapter 10, problems 17,23,35,37. (22 March)
Chapter 10, problems 3,5,7,9,11,13,21,41. (20 March)
Chapter 9, problems 3,4,5,6,7,11,15,25,26. (27 Feb)
Chapter 8, 3,5,13,15,19,21,23,27,28. (27 Feb)
Chapter 7, problems 1,7,9,13,17,19,21,25,27,29 (done in class),31,33. (22 Feb)
Chapter 6, problems 3,5,7,9,13,15,17. (18 Feb)
Chapter 5, problems 5,11,13,17,19,21,25,31. (13 Feb)
Read Section 5.3. (11 Feb)
Chapter 4, problems 15,21,27. (11 Feb)
Chapter 4, problems 5,7,9,13. (8 Feb)
Read Section 3.1 in the book of Dumas and McCarthy; and the introduction to Chapter 4 and Section 4.1 in Book of Proof. (1 February)
Section 2.10. 1,3,5 and
- Suppose \( f:\mathbb R\to \mathbb R\) and \( a\in \mathbb R.\) Negate the statements:
\( \forall \epsilon>0 \, \exists \delta>0 \, \forall x\in (a-\delta,a+\delta), \, |f(x)-f(a)|<\epsilon. \)
\( \exists c\in \mathbb R \, \forall x\in\mathbb R, f(x)\le f(c). \) (1 February)
Section 2.9. 3,5,9 (and for 5, rewrite as a clear mathematical statement in english. Hint: for which in this problem is secretly a quantifier). (30 January).
Section 2.7. All. (30 January).
Section 2.6. 3,7,9,11,13. (28 January).
Section 2.5. 1-11 odd. (25 January).
Section 2.4. 1,3. (23 January).
Section 2.3. 1,3,5,7,9. (23 January).
Section 2.2. 1-11 odd. (18 January).
Section 2.1. 1-13 odd. (16 January).
Section 1.8. 1-13 odd (14 January).
Skim Sections 1.7 and 1.9 (14 January).
Section 1.6. 1,3,5 (14 January).
Section 1.5. 1,3,5,7,9 (11 January).
Section 1.4. 1,7,10,11,13,15,16,19 (11 January).
Section 1.3. 1,5,9,13,15 (9 January).
Section 1.2, 1(a,c,e,g);7,9,11,13. (9 January)
Section 1.1. 4n+1, for n=0,…,12; 31. (7 January)
Read the introduction (page xiii) and Chapter 0 of McCarthy and Dumas.
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