Mathematics 5345: Concepts and Techniques in Analysis



Sections Studied/Assignments

August 29

Section 1.2:

  • Hwk: 1.2.1-1.2.7
    Click here for the graphs and values for 1.2.7 a&b.

Section 2.1:

·         Hwk: 2.1.1, 2.1.4, 2.1.6, 2.1.9, 2.1.10, 2.1.11 (optional);

Section 2.2:

·         Hwk: 2.2.1-2.2.3, 2.2.5


September 5


September 12

Section 2.3

·         Hwk: 2.3.1, 2.3.4, 2.3.6, 2.3.8, 2.3.12

To link to the Wolfram Site click here.
To link to the Excel file (remember they were just rough illustrations) I used in class click here.

September 19


Note: Mr. Kelly Aman will be conducting extra office hours for anyone in M5345 who would like extra help with the course.  Mr. Aman  will hold office hours (drop in) in his office PKH 430, Mondays and Wednesdays 4:30-6:00.
He will also be available by appointment on Tuesdays and Thursdays 4:30-5:30 or 7-8 pm and on Fridays 4-7 pm.  He will only meet you at these times if you contact him by e-mail to set an appointment. Please click on his name to send him an e-mail.

Of course, I am available before class on Mondays and after class. You can also send questions as they arise during the week by e-mail and I will do my best to send you and answer or hint in a timely manner.

September 26

Section 2.4

·         Hwk: 2.4.4, 2.4.6, 2.4.8


October 3

Section 2.4

  • Hwk: 2.4.12

Section 2.5

·         Hwk: 2.5.1, 2.5.2


October 10


October 17

First Homework Set DUE:
Note for those of you who turned in your assigment on time, you will receive a 10 point bonus (maximum score possible homework would be 110). If you elected to keep working on it until October 24th, you will not be penalized, but you will not be eligible for bonus points.

Section 2.5

·         Hwk: 2.5.4, 2.5.15, 2.5.17

Section 2.6 (Reading Assignment: Read this section on your own.)

·         Hwk: 2.6.1, 2.6.2

October 24

 Read Sections 3.1 & 3.2

October 31

Section 3.1

·         Hwk: 3.1.1, 3.1.2 (b)(e), 3.1.5, 3.1.6(a), 3.1.7, 3.1.12, 3.1.14 

Review Section 3.2 and Read Section 3.3


November 7

 Hints for Section 3.1 homework:
3.1.5 I will post a start to the non-differentiability and discuss this in class on Monday, November 14th.
3.1.6 I ask you to only consider the derivative at 0 and at 1 only. You will need to think about how you will adjust your epsilon-delta game to accommodate the behavior on either side of the points mentioned (since the function changes across these points).

3.1.12 I will present a similar example in class on Monday, November 14th and then scan it and post it.
3.1.14 You may need to use the epsilon-delta definition of continuity of f at x=a. The only difference with the "limit of f at x=a" is that the target value is f(a).

November 14

EXAM II (Sections 2.5-3.1)

I apologize for not having posted the items listed above. I am working on legible drafts to scan for you.

I have decided to not grade #3.1.14 for this assignment.

Please check back Saturday evening for the scans. The sketches are here. I hope they are useful. Note that on 3.1.6 in class on Monday, we decided that a Calculus I-type solution method was ok to use.

November 21

Second Homework Set DUE (Note please resubmit 2.5.1 & 2.5.2 with this assignment)

Section 3.2

  • Hwk: 3.2.1, 3.2.5, 3.2.6

  • Read "Cauchy's Second Attempt," pages 75-77. I will address any questions you have at the beginning of class next time.


November 28


December 5

 Section 3.3 (Read on your own pages 83-91)

·         Hwk: 3.3.1, 3.3.2, 3.3.8, 3.3.9, 3.3.21, 3.3.24

Section 3.4 (Read on your own pages 100-102. Here are the theorems listed in class. )

·         Hwk: 3.4.1, 3.4.2, 3.4.6 (a-f, I, k, n),  3.4.8

Section 3.5

·         Hwk: Read and try to understand proofs through middle of page 107.

 Note that I will send out a focused set of questions for the final exam on Friday night. This was updated 12/5/2011 at 10:12 p.m.


December 12

FINAL EXAM, Third Homework Set DUE

Last revised: December 05, 2011