---------------------------------------------## Homework Assignments

## ================================================================================== HW1: R&S (Read and Study) Our text, pages v-vii (preface), and 1-4. Also look at these two links: link1 link2 Due: Start of class, Thursday, 8/24 ================================================================================== HW2: 0.1 (pg 27) #'s 1,2; Identify the definitions and/or theorems used in the text proof of Theorem 0.2, v. (Like I did with Theorem 0.1). R&S pgs 4-8. Section 0.1 for our text Due: Start of class, Tuesday, 8/29 ================================================================================== HW3: 0.1 (pg 27) #'s 1,2,4,finish adding reasons to Thm 0.2v (this will be picked up for a grade) Note: I made a serious mistake in assigning exercise 4. I misread the question! I did not want you to prove part ii of Thm 0.3, I wanted you to prove part ii of Thm 0.2! (My comments in class indicated this, but what a mistake! I am so sorry! I hope you didn't waste many hours on Thm 0.3ii!) Due: Start of class, Thursday, 8/31 ================================================================================== HW4: 0.1 (pg 27) #'s 3,5 (For problem 3, use the textbook proof of part Thm 0.2v as a guide and be sure to include reasons for each statement) R&S pgs 5-7. Due: Start of class, Tuesday, 9/5 ================================================================================== HW5: Do the Part 2 proof on slide 7 of the Set Theory Handout. R&S slides 1-16 on the Set Theory Handout. Textbook Exercise 9. Set Theory Handout I mentioned Fermat's Last Theorem in class on 9/3. Here is a good link giving more information about it Due: Start of class, Thursday, 9/7 ================================================================================== Our first test over Theorem 0.2 will be on Tuesday, 9/12 ================================================================================== HW6: Do examples 1-7 on this handout R&S pgs 5-8a of our text. Due: Start of class, Tuesday, 9/19 ================================================================================== HW7: Show that (5n + 3) / (n^2 + n) is a decreasing function. Due: Start of class, Thursday, 9/21 ================================================================================== HW8: Do exercise 11 from the text (Prove Thm 0.4 ii); R&S pgs 8-11; Due: Start of class, Tuesday, 9/26 ================================================================================== HW10: Finish labeling the definitions and theorems in section 0.2 Due: Start of class, Thursday, 9/28 ================================================================================== HW11: Do exercises 13-17 from the text; R&S pgs 12-16 Each student should pick one of these and put it on the board at the start of class. Sign your work and each student do a different problem. Due: Start of class, Tuesday, 10/3 ================================================================================== HW12: Write up a list of theorems and definitions for section 0.3 on Mathematical Induction and Recursion, like we did for section 0.2. Please have a copy of these to give to me and keep a copy for yourself. R&S pgs 12-16. Due: Start of class, Thursday, 10/5 ================================================================================== HW13: Do problems 19-20 on the Chapter 0 exercises (pg. 28); You will need to put these up on the board at the start of class. Due: Start of class, Tuesday, 10/10 ================================================================================== HW14: Do problems 21,24 and 29 on the Chapter 0 exercises (pg. 28); I will pick these up for a grade. R&S pgs 16-20 in our text. Due: Start of class, Tuesday, 10/17 ================================================================================== Our second test over Mathematical Induction Proofs will be on Thursday, 10/19 ================================================================================== HW15: Finish the list of theorems and definitions from section 0.4 that I gave out in class on Thursday. Due: Start of class, Tuesday, 10/24 ================================================================================== HW16: a) Create a list of theorems and definitions from section 0.5. b) Create a list of important and/or notable results from 0.5, like the example I gave out in class for 0.4. Due: Start of class, Thursday, 10/26 ================================================================================== HW17: a) R&S pgs 33-49 (sections 1.1-1.3). b) Create a list of theorems and definitions from sections 1.1, 1.2, and 1.3. c) Create a list of important and/or notable results from sections 1.1, 1.2, and 1.3. Due: Start of class, Tuesday, 10/31 ================================================================================== HW18: a) R&S pgs 63-69 (section 2.1). b) Create a list of theorems and definitions from section 2.1. Due: Start of class, Tuesday, 11/7 ================================================================================== HW19: a) R&S pgs 69-76 (sections 2.2-2.3). b) Create a list of theorems and definitions from section 2.2 and 2.3. Due: Start of class, Thursday, 11/9 ================================================================================== HW20: a) R&S pgs 83-104 (sections 3.1-3.4). b) Create a list of theorems and definitions from sections 3.1-3.4. c) Do exercises 1,2 from the Chapter 2 Exercises, pg 79 Due: Start of class, Tuesday, 11/14 ================================================================================== HW21: a) R&S pgs 111-129 (chapter 4). b) Create a list of theorems and definitions from chapter 4. Due: Start of class, Thursday, 11/16 ================================================================================== HW22: a) R&S pgs 137-165 (chapter 5). b) Create a list of theorems and definitions from chapter 5. Due: Start of class, Tuesday, 11/21 ================================================================================== ==================================================================================

The final exam for MAT3351.01 (meets T/Th 10:40) is onThursday (12/7) from 3:15 - 5:15PM in this room.Bring your calculator (NOT a phone, ipad, android, or other internet capable device)and your study sheets.

================================================================================== Note: On all emails for this course, start the subject line out with MAT3351, followed by whatever else is appropriate. Emails without this subject line formatting may not be accepted!

Last updated on ... 8/21/2017

Created on ... 7/29/2017