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Mat 417

The purpose of this survey is to compile a profile of what the class knows and feels about abstract algebra at the beginning of the course. We use the pre-class data to establish some goals for ourselves as a class and the post-course set to evaluate how well we achieved those goals. We focus in this class is on the study of groups which is the basic ingredient for all-higher mathematics, physics, chemistry, and computer science. Studying the concepts and methodology of abstract algebra contribute to your critical thinking and problem solving abilities. This is important for you to be successful as a life long learner.

Becoming proficient in working with mathematics as a process takes time. Be sure you budget your time accordingly.

How confident do you feel you could explain the following terms or concepts to your friends? As briefly as possible, write-out what you understand to be the mathematical meaning of each of the following terms:
1. Function

Very

Somewhat Not Very Not at All.  

 

2. Binary operation

 

Somewhat

 

Not at All.

 

Very

 

Not Very

 

 

3. Closure

 

Not Very

 

Somewhat

 

Not at All.

 

Very

 

 

4. Identity element

 

Very

 

Somewhat

 

Not Very

 

Not at All.

 

 

5. Inverse element

 

Very

 

Somewhat

 

Not Very

 

Not at All.

 

 

6. Associativity

 

Not Very

 

Not at All

 

Somewhat

 

Very.

 

 

7. Subgroup

 

Somewhat

 

Very

 

Not Very

 

Not at All.

 

 

8. Coset

 

Very

 

Not at All

 

Not Very

 

Somewhat

 

 

9. Normal Subgroup

 

Somewhat

 

Not at All

 

Very

 

Not Very

 

 

1O. External Direct Product

 

Very

 

Somewhat

 

Not Very

 

Not at All.

 

 

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