# Math 3325 Principles of Math Homework

## Dr. Duval

For Mon., 30 Nov., read section 7.1, and be ready to explain all the boxed definitions. We'll spend the last week of class talking about some of the very basic material from analysis. Section 7.1 starts by discussing important characteristics of the real numbers.
1.1: 3(f,j,l,n), 4(b,f,h,j), 5(b,d,f,h,i), 7(a,b,d).
1.2: 3, 7, 8(b,c,g,h), 11, 12, 14(b,e,g,h,i,k).
1.3: 1(b,c,e,h,j,k), 2(b,c,e,h,j,k), 4(a,d,f,g,j), 6(b,e,h,j), 10(a,b,c).

1.4: 4(c,e), 5(c,d,e), 6(e,g,h), 7(a,b), 8(a,b).
1.5: 1d, 2(a,c,d), 5(b,c,d,e), 7(a,b), 8(b,f,h).
1.6: 3(a,b,c,d), 4b, 6a, 7c, 9.

2.1: 1(b,d,f), 5(b,d), 10b, 11, 19(a,d).
2.2: 10(b,f), 13(b,c), 14(b,d), 16(e,g), 17(e,f).

2.3: 3, 4, 8(b,d), 13(it's tricky-don't give up right away), 18(a,b).
2.4: 8(b,d,e,j,k,n)[counts double], 9(a,d), 11, 15(b,c).

2.5: 2, 5(b,c), 6c, 11 [use any form of induction you like; see 2.4#14], 12(a,b).
2.6: 5, 8, 11(c,d), 14(a,b,c), 16c.

3.1: 2, 3(c,d), 4(a,b), 6(f,g,h), 8(f,h,k), 10(e,f,h,q), 11(a,e,f), 14, 18b, 20(f,g).

3.2: 1(d,g,l), 4(b,e), 7c, 8(a,b), 11(a,b).
3.3: 6(a,b,c), 7(b,c), 8, 9b, 11.

3.4: 5, 7, 9, 15(a,b,c,d), 16, 22.
3.5: 2(a,c,d,e), 6(a,b,c,d), 10, 12(a,b,c).

4.1: 2(b,f,i), 3(a,b,c,d), 8(d,f), 10(b,c), 16(b,d).
4.2: 4, 6, 10, 13b, 15(b,e,f).
(Note the typo in 15e: it should be a right parentheses, not bracket, following the positive infinity symbol, so the second interval is actually "[0, infinity)".)

4.3: (1,2)(f,h,l), 5, 8(b,f), 13, 14(b,c).
4.4: 3(b,c,e), 6(d,e), 9, 10b, 15.
Also: you can turn in 3.4#16 again, with the typographical corrections.

5.1: 1, 7b, 8b, 10b, 12, 17a, 20(a,c).

5.2: 1(g,h), 2(c,f), 3(a,b,c,d,e,f), 5(f,g), 7(a,b,c).
6.1: 5, 7, 12(b,c), 15/16, 17.

6.2: 1(b,d), 3, 4(b,d), 6, 8, 9, 13, 14(a,b), 15a.

due Wed., 2 Dec. (last homework of the semester!)
6.3: 2(a,c,d), 3(ii), 4b, 5(c,d), 6(c,d), 7c, 9, 11(a,c,e), 14(b,d), 15(b,f).