# MAT 3351 Intermediate Analysis, Fall 2017, T/Th 10:40-11:55, CAA 122

### 1. Course Syllabus

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Homework Assignments
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HW1: R&S (Read and Study) Our text, pages v-vii (preface), and 1-4.

Also look at these two links:

Due: Start of class, Thursday, 8/24
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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
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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
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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
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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.

Due: Start of class, Thursday, 9/7
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Our first test over Theorem 0.2 will be on Tuesday, 9/12

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HW6:  Do examples 1-7 on this handout
R&S pgs 5-8a of our text.

Due: Start of class, Tuesday, 9/19
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HW7:  Show that (5n + 3) / (n^2 + n) is a decreasing function.

Due: Start of class, Thursday, 9/21
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HW8:  Do exercise 11 from the text (Prove Thm 0.4 ii); R&S pgs 8-11;

Due: Start of class, Tuesday, 9/26
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HW10:  Finish labeling the definitions and theorems in section 0.2

Due: Start of class, Thursday, 9/28
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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
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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
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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
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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
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Our second test over Mathematical Induction Proofs will be on Thursday, 10/19

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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
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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
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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
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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
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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
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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
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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
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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
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HW23:  a) R&S pgs 173-206 (chapter 6).
b) Create a list of theorems and definitions from chapter 6.

Due: Start of class, Tuesday, 11/28
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HW24:  a) R&S pgs 215-232 (chapter 7).
b) Create a list of theorems and definitions from chapter 7.

Due: Start of class, Thursday, 11/30
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The final exam for MAT3351.01 (meets T/Th 10:40) is on
Thursday (12/7) from 3:15 - 5:15PM in this room.
Bring your calculator (NOT a phone, ipad, android, or other internet capable device)

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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!

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