self-preparation for abstract algebra (not books) [closed]












-1














I recently left my Applied Statistics program to pursue a master's in Pure Math. I also have an undergraduate degree in Statistics. However, I need to take an introduction course to Abstract Algebra.



I have about a month to prepare myself for it. I have a clearance to take it. I have only taken Discrete Math and Real Analysis (I and II).



We are using ABSTRACT ALGEBRA by Beachy.



What concepts, should I review? I will learn much of the material in the course but I would like to fill in any missing information that is crucial.



Thanks.










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closed as off-topic by rschwieb, Dietrich Burde, amWhy, Paul Frost, egreg Dec 26 '18 at 23:50


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "Seeking personal advice. Questions about choosing a course, academic program, career path, etc. are off-topic. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances." – rschwieb, amWhy, Paul Frost, egreg

If this question can be reworded to fit the rules in the help center, please edit the question.


















    -1














    I recently left my Applied Statistics program to pursue a master's in Pure Math. I also have an undergraduate degree in Statistics. However, I need to take an introduction course to Abstract Algebra.



    I have about a month to prepare myself for it. I have a clearance to take it. I have only taken Discrete Math and Real Analysis (I and II).



    We are using ABSTRACT ALGEBRA by Beachy.



    What concepts, should I review? I will learn much of the material in the course but I would like to fill in any missing information that is crucial.



    Thanks.










    share|cite|improve this question













    closed as off-topic by rschwieb, Dietrich Burde, amWhy, Paul Frost, egreg Dec 26 '18 at 23:50


    This question appears to be off-topic. The users who voted to close gave this specific reason:


    • "Seeking personal advice. Questions about choosing a course, academic program, career path, etc. are off-topic. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances." – rschwieb, amWhy, Paul Frost, egreg

    If this question can be reworded to fit the rules in the help center, please edit the question.
















      -1












      -1








      -1







      I recently left my Applied Statistics program to pursue a master's in Pure Math. I also have an undergraduate degree in Statistics. However, I need to take an introduction course to Abstract Algebra.



      I have about a month to prepare myself for it. I have a clearance to take it. I have only taken Discrete Math and Real Analysis (I and II).



      We are using ABSTRACT ALGEBRA by Beachy.



      What concepts, should I review? I will learn much of the material in the course but I would like to fill in any missing information that is crucial.



      Thanks.










      share|cite|improve this question













      I recently left my Applied Statistics program to pursue a master's in Pure Math. I also have an undergraduate degree in Statistics. However, I need to take an introduction course to Abstract Algebra.



      I have about a month to prepare myself for it. I have a clearance to take it. I have only taken Discrete Math and Real Analysis (I and II).



      We are using ABSTRACT ALGEBRA by Beachy.



      What concepts, should I review? I will learn much of the material in the course but I would like to fill in any missing information that is crucial.



      Thanks.







      abstract-algebra number-theory






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      asked Dec 26 '18 at 18:12









      pfmr1995

      93




      93




      closed as off-topic by rschwieb, Dietrich Burde, amWhy, Paul Frost, egreg Dec 26 '18 at 23:50


      This question appears to be off-topic. The users who voted to close gave this specific reason:


      • "Seeking personal advice. Questions about choosing a course, academic program, career path, etc. are off-topic. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances." – rschwieb, amWhy, Paul Frost, egreg

      If this question can be reworded to fit the rules in the help center, please edit the question.




      closed as off-topic by rschwieb, Dietrich Burde, amWhy, Paul Frost, egreg Dec 26 '18 at 23:50


      This question appears to be off-topic. The users who voted to close gave this specific reason:


      • "Seeking personal advice. Questions about choosing a course, academic program, career path, etc. are off-topic. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances." – rschwieb, amWhy, Paul Frost, egreg

      If this question can be reworded to fit the rules in the help center, please edit the question.






















          1 Answer
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          Well, the book of Beachy (2006) is rather thin. It contains the rudimentary material. I suggest more group theory (Sylow theorems, Polya theory), fields (splitting field, straightedge and compass construction, finite fields), and modules (free, projective, semisimple).






          share|cite|improve this answer





















          • Beachy has over 400 pages and includes material on Galois theory, so I'm not sure I'd describe it as thin. I think OP is asking how to prepare for this course, not how to go above and beyond what will be covered in the course.
            – littleO
            Dec 26 '18 at 18:32












          • I appreciate the info, I will be taking graduate level algebra after it. So good to know. But yeah, I also want prep lol.
            – pfmr1995
            Dec 26 '18 at 18:40


















          1 Answer
          1






          active

          oldest

          votes








          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          0














          Well, the book of Beachy (2006) is rather thin. It contains the rudimentary material. I suggest more group theory (Sylow theorems, Polya theory), fields (splitting field, straightedge and compass construction, finite fields), and modules (free, projective, semisimple).






          share|cite|improve this answer





















          • Beachy has over 400 pages and includes material on Galois theory, so I'm not sure I'd describe it as thin. I think OP is asking how to prepare for this course, not how to go above and beyond what will be covered in the course.
            – littleO
            Dec 26 '18 at 18:32












          • I appreciate the info, I will be taking graduate level algebra after it. So good to know. But yeah, I also want prep lol.
            – pfmr1995
            Dec 26 '18 at 18:40
















          0














          Well, the book of Beachy (2006) is rather thin. It contains the rudimentary material. I suggest more group theory (Sylow theorems, Polya theory), fields (splitting field, straightedge and compass construction, finite fields), and modules (free, projective, semisimple).






          share|cite|improve this answer





















          • Beachy has over 400 pages and includes material on Galois theory, so I'm not sure I'd describe it as thin. I think OP is asking how to prepare for this course, not how to go above and beyond what will be covered in the course.
            – littleO
            Dec 26 '18 at 18:32












          • I appreciate the info, I will be taking graduate level algebra after it. So good to know. But yeah, I also want prep lol.
            – pfmr1995
            Dec 26 '18 at 18:40














          0












          0








          0






          Well, the book of Beachy (2006) is rather thin. It contains the rudimentary material. I suggest more group theory (Sylow theorems, Polya theory), fields (splitting field, straightedge and compass construction, finite fields), and modules (free, projective, semisimple).






          share|cite|improve this answer












          Well, the book of Beachy (2006) is rather thin. It contains the rudimentary material. I suggest more group theory (Sylow theorems, Polya theory), fields (splitting field, straightedge and compass construction, finite fields), and modules (free, projective, semisimple).







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Dec 26 '18 at 18:20









          Wuestenfux

          3,5531411




          3,5531411












          • Beachy has over 400 pages and includes material on Galois theory, so I'm not sure I'd describe it as thin. I think OP is asking how to prepare for this course, not how to go above and beyond what will be covered in the course.
            – littleO
            Dec 26 '18 at 18:32












          • I appreciate the info, I will be taking graduate level algebra after it. So good to know. But yeah, I also want prep lol.
            – pfmr1995
            Dec 26 '18 at 18:40


















          • Beachy has over 400 pages and includes material on Galois theory, so I'm not sure I'd describe it as thin. I think OP is asking how to prepare for this course, not how to go above and beyond what will be covered in the course.
            – littleO
            Dec 26 '18 at 18:32












          • I appreciate the info, I will be taking graduate level algebra after it. So good to know. But yeah, I also want prep lol.
            – pfmr1995
            Dec 26 '18 at 18:40
















          Beachy has over 400 pages and includes material on Galois theory, so I'm not sure I'd describe it as thin. I think OP is asking how to prepare for this course, not how to go above and beyond what will be covered in the course.
          – littleO
          Dec 26 '18 at 18:32






          Beachy has over 400 pages and includes material on Galois theory, so I'm not sure I'd describe it as thin. I think OP is asking how to prepare for this course, not how to go above and beyond what will be covered in the course.
          – littleO
          Dec 26 '18 at 18:32














          I appreciate the info, I will be taking graduate level algebra after it. So good to know. But yeah, I also want prep lol.
          – pfmr1995
          Dec 26 '18 at 18:40




          I appreciate the info, I will be taking graduate level algebra after it. So good to know. But yeah, I also want prep lol.
          – pfmr1995
          Dec 26 '18 at 18:40



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