Sec 7.1, 10/25/09

-i really liked the rotation of the planes about various angle. It is easy to see and really makes sense as it is described in the book.
- i could not understand the example that talks about composition of functions in page 162. i am not clear on dihedral groups.

Midterm course evaluation 21/10/09

-I am really struggling in this class. I don't think i know how to study this course . Can you suggest me how to study for the courses like this. The main problem for me is how to approach the problem when it is asked to prove something.
- i dont think i have the answer for the question what could be improved? because it seems i follow most of the steps you do in class. For me at least instead going through the proofs that are already done in the book, if you give more examples and do the problems from the exercise that are related to the assigned homework problem would be beneficial and would help me to understand how to think through the problem.

Sec6.3, 10/19/09

-Theorem6.5 talks about maximal ideal and i did not understand the proof and what actual the maximal ideal is, why is 3 maximal ideal in integers and (x) not maximal ideal in Z[x]?
- i don't think i am really understanding the material very well, so i don't know the application of the topic that i am learning in this class.

Sec6.2,10/15/09

- i am not being able to follow what i am reading and what the theorems means. the class is more abstract than what i aspected it to be.
-there is no thing that i find interesting in this section and i don't have any idea where in my life i am going to use this subject.

Sec 6.1,10/13/09

-i didn't quite understood the term principal ideal .Every time we are introduced with new terms and it is difficult for me to see where and how can we use those practically.
-It is interesting to know that what we did in chapter 2 of congruence classes modulo n is replaced by congruence classes modulo I (where I is an ideal in a ring )are almost the similar, and proofs follows the same logic.

Sec 5.3, 10/8/09

-i did not understand the proof of theorem 5.10 where they try to prove part 2 from considering part 1 is known, and i also find in understanding the concept of of extension field.
-i am not sure whether the topic i am currently studying is going to help me in my career. This is completely new topic for me and i don't find any connection with what i have studied except the term congruence classes which i had studied in math 190.

Sec 5.2, 10/6/09

- I could not understand how the theorem 5.7 is reworded and written as in theorem 5.8. In theorem 5.7 it also talks about subrings being isomorphic but it does not say anything like that in theorem 5.8
-the most interesting part is constructing the tables of the rings Z2[x]/(any polynomial).It is similar to what we did for integers.

Sec 5.1, 10/4/09

-it makes sense how they relate the proof of corollary 5.5 to the corollary 2.5 about the integers but i am still confused on the proof. i am not being able to see how it works perfectly for polynomials.
-it is interesting to know how the concept of congruence and congruence classes arithmetic carry over from integers (Z) to F[x] with practically no change.

Sec4.5,-6 10/02/09

-the Eisenstein criterion is very interesting part in this section to say whether that the non constant polynomial with integer coefficient is reducible or irreducible in Q[x].
-i did not understand why the test of reducibility is in rational polynomials can be restricted to the polynomials with integer coefficient??