# 4031 Spring 2018

Here is the syllabus, and links to the free e-book and errata.
The grader for the course is Vishwa Dewage.

## Graded homework assignments

Note: the individual problems are numbered because your grades for each problem are recorded individually in Noodle. Mostly these are exercises in the text; For example, 1.3 refers to the problem in the exercises for section 1.1 on page 7.
Each assignment must be handed in on the due date in class. No late assignments will be accepted.

• Due 1/19. Postponed until 1/22.
1: 1.3. Since the additive cancellation law (a + c = b+c implies a = b) was proved in class, you may use it if it helps.
2: Use the result of 1.3 and the Axiom of Trichotomy to prove that the real number 1 is positive (that is, 1 > 0).
3:1.7;  4:1.9.
• Due 1/26.
5: 1.12;  6: 1.19.
• Due 2/2.
7: 1.28;  8: 1.30;  9: 1.32.
• Due 2/9.
10: 1.57;  11: 1.62;  12: 1.71;   13: 1.72.
• Due 2/23.
14: 1.83;  15: 1.84;  16: 1.88;   17: 1.91.
• Due 3/2.
18: 2.7(a);  19: 2.8;  20: 2.21;   21: 2.27.
• Due 3/9.
22: 2.35;  23: 2.37;  24: 2.49;   25: 2.54.
• Due 3/16.
26: 2.64;  27: 2.68;  28: 3.3;   29: 3.10.
On problem 2.64, you may use the methods for finding extreme values covered in 1550, even though derivatives are only covered in Chapter 4 of our text.
• Due 4/6.
30: 3.20;  31: 3.24;  32: 3.25;   33: 3.30.
• Due 4/13.
34: 3.35;  35: 3.36;  36: 3.48;   37: 3.50.

## All homework assignments, to be turned in or not.

• Section 1.1: all problems (1.1 - 1.11).
• Section 1.2: problems 1.12 - 1.19, 1.21 - 1.23, 1.25, 1.27.
• Section 1.3: problems 1.28 - 1.39, 1.41 - 1.44.
• Section 1.4: problems 1.47 - 1.51, 1.53 - 1.55, 1.57, 1.58.
• Section 1.5: problems 1.59 - 1.64.
• Section 1.6: problems 1.67 - 1.74.
• Section 1.7: all problems (1.76 - 1.86).
• Section 1.8: problems 1.87 - 1.92, 1.94.
• Section 2.1: problems 2.1 - 2.16.
• Section 2.2: problems 2.19-2.25, 2.27.
• Section 2.3: all problems (2.29 - 2.47).
• Section 2.4: all problems (2.48 - 2.59).
• Section 2.5: all problems (2.60 - 2.70).
• Section 2.6: problems 2.71, 2.74, 2.76, 2.80, 2.82.
• Section 3.1: problems 3.1 - 3.12. Added 3/22: 3.13
• Section 3.2: problems 3.16 - 3.28, 3.30, 3.31.
• Section 3.3: problems 3.32 - 3.3.37, 3.39-3.44.
• Section 3.4: all problems (3.45 - 3.58).

## Test solutions.

Originally, I intended to post answers to the short questions only. As of test 2, I decided to include proofs as well. These are examples of correct proofs, but not the only, or necessarily the best. The solutions for test1 have been updated accordingly