Course Information

Math 476: Abstract Algebra – Section 02, Fall 2012

4 Credits: MTThF 12:30p.m. – 1:20p.m. Bridges Room 262

 

Textbook: Contemporary Abstract Algebra, 7th ed, by Joseph A. Gallian [Required]

Office: MacLean 375M                         Office Phone: (218)477-4011

Office Hours:              MTWThF   9:30am – 10:20am              Email:  jamesju@mnstate.edu

     W                12:30pm –   2:20pm            Webpage:  web.mnstate.edu/jamesju

                                   MT   ThF   2:30pm –   3:20pm

                                   Other times by Appointment

 

Course Description:  Groups, rings and integral domains studied as abstract mathematical systems.  Lagrange's theorem, factor groups, homomorphisms, polynomial rings and quotient rings.  

Prerequisites:  MATH 310 and Math 327 

 

Major Content Areas:

·        Groups, subgroups, permutation groups, normal subgroups, factor groups, isomorphisms and

homomorphisms of groups.

·        Rings, integral domains, and fields, extension fields, fields of fractions, ideals, factor rings,

homomorphisms and isomorphisms of rings.

 

Student Learning Outcomes:  Upon completion of the course, students will be able to do the following:

·        Recognize basic algebraic structures.

·        Understand morphisms in algebra.

·        Appreciate general algebraic structure inherent in familiar systems such as the integers, rational

numbers, and polynomials.

 

Course Requirements: You are expected to complete all daily homework and writing assignments, and to take and pass all exams and quizzes at their scheduled dates and times.

 

Instructional Strategies:  Lecture, discussion, small group work.

 

Attendance and Academic Expectations:  You are expected to attend class regularly and on time.

The penalty for unexcused absences is that missed assignments cannot be made up.  You are expected to read the assigned material in your textbook prior to each lecture and to attempt the problems on the homework assignment.  You are encouraged to form a group to study and work with outside of class.   You should bring your book with you to class.

 

Homework: I will collect homework for grading once a week during the semester.  You will be told in class at least two days in advance which problems to write up and turn in.  You may need to complete problems in addition to the assigned homework problems in order to learn the related course material well.  I may spend a few minutes at the beginning of class answering homework questions, but the bulk of our class time will be spent covering new material.  You are encouraged to discuss homework with your classmates and with me outside of class during my office hours.  If my office hours do not match your schedule, feel free to contact me to arrange another time to meet.

 

Quizzes: I will give quizzes at various times during the course.  I typically announce quizzes at least one day before I give them so you have time to prepare for them.  Quizzes will be worth from 5-10 points, depending on their length and scope.

 

Extra Credit: Each week, there will be a few opportunities to complete Daily Bonus Problems.  These problems will be assigned during class and will be due at the beginning of the next class meeting.  I will grade and return these problems.  Each solution will be assigned a score between 0 and 1 marks (inclusive, and most likely a rational number).  At the end of the semester, I will total these marks up, and add 1% to your final semester percentage for each 10 marks that you receive (rounded up). Be sure to save your returned assignments so you can verify the number of marks you obtain in this way.

 

There may be a few other extra credit assignments during the semester (don’t count on many).  All extra credit will be given to the entire class and must be handed in by the specified due date.  There will be no individual extra credit assignments.

 

Reflection Papers:  Twice during the semester, you will be given a writing assignment in which you will be asked to give your personal thoughts and reflections on different aspects of the course.  These papers must be typed and should be about 1 page in length (typed, double spaced).   These informal papers will be graded mainly on their content and completeness, but you should write in complete sentences and express your thoughts clearly.  Each reflection paper contributes 10 points toward your final grade.

 

Exams:  This course will have four in-class exams and a comprehensive final exam, as outlined on the course schedule.  Be sure to mark the date of each exam on your calendar, especially the final exam.  In class exams will be closed book and closed notes.  In addition, calculators or other electronic devices (cell-phones, etc.) will not be allowed during exams.

 

The credit given on exam questions will be based on the amount of correct work shown, or, in the case of proofs, on the completeness, correctness, and clarity of your argument.  Little to no credit will be given if sufficient work or argumentation has not been shown.  In your final grade, your best three in-class exams will be worth 100 points each, while your lowest exam will be scaled in half to be out of 50 points.  The final exam is worth 200 points.

 

 

 

Course Grading Policy:                        Your final grade in the course will be computed as follows:

 

Homework/Quizzes                  200 points

Highest 4 Unit Exams:            300 points

Lowest Unit Exam:             50 points

Final Exam:            200 points

Total:            750 points

 

 

I will compute the percentage of the total possible points each student earned during the semester (rounded to the nearest .1%), and will then assign letter grades based on the following scale.  I may make slight adjustments to this scale (down, never up), but don’t count on this happening.

 

 

96.5-100.0%            A+                        81.5-86.4%            B                         69.0-71.4%            C–

91.5-96.5%            A                         79.0-81.4%            B–                        66.0-68.9%            D+

89.0-91.4%            A–                        76.5-78.9%            C+                        60.0-65.9%            D

86.5-88.9%            B+                        71.5-76.4%            C                        <60.0%                        F

 

                                                                       

Make-up Work:  Because you are allowed to drop several scores, I will only give make-up assignments for emergencies or for absences which are officially sanctioned by the University.  I will expect written documentation in either of these cases.  If you miss an exam and a make-up exam is not warranted, you may replace your grade on one missed exam with your un-scaled percentage score on the final exam.

 

 

Special Accommodations:  Students with disabilities who believe they may need an accommodation in this class are encouraged to contact Greg Toutges, Director of Disability Services at 477-4318 (Voice) or 1-800-627-3529 (MRS/TTY), Flora Frick 154 as soon as possible to ensure that accommodations are implemented in a timely fashion.  Information regarding Disability Services is available at http://web.mnstate.edu/disability/

 

 

Academic Honesty: You are expected to do your own work.  You may work with others and get help on assignments, but the work you submit must be your own.  During exams and quizzes you will not be allowed to get help from others.  Cheating and plagiarism are not tolerated in any course at any level.  See the MSUM Academic Honesty policy for more information on the possible consequences of cheating.

 

 

 

Thanks, And Let’s Have A Great Semester!!

 

 

 

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