- Instructor: Dr. Mathias Schulze
- E-mail: mschulze@math.okstate.edu
- Phone: (405) 744-5773
- Office: MSCS 406
- Office Hours: MWF 10:30-11:20am and by appointment

- Class Meeting: MWF, 9:30am-10:20am, MSCS 423A
- Textbook:
*Abstract Algebra*by David S. Dummit and Richard M. Foote, 3rd Edition, John Wiley & Sons (2004) - Course Web Page: http://www.math.okstate.edu/~mschulze/teaching/11S-MATH5013
- OSU Syllabus Attachment: http://osu.okstate.edu/acadaffr/aa/syllabusattachment-Fall.htm

Attendance will be checked at the beginning of each class meeting, but it does not affect your grade. However you are responsible to know the material covered in class and that from the corresponding sections of your textbook.

Working on example problems is the key to understand abstract concepts. Therefore there will be a homework assignment for each lecture in the course schedule. You turn in your solutions at the end of the lecture at the given due date. If there is no class meeting that day, you put your solutions in the drop box at the math office MS401 before noon. Make sure that you write your and my name and the course and section number on the front page. Late submissions will not be accepted. Your homework score is part of your final grade. Example solutions for selected problems will be posted in the solutions section after the due date. Feel free to ask me for solutions for specific problems that you could not solve.

Be prepared for 5-minutes in-class quizzes that count toward your final grade. These quizzes will not be announced and there are no make-up quizzes. Books, notes, and electronic devices are not permitted during quizzes.

There will be 3 midterm exams and a final exam which contribute to your final grade. Each exam will be announced in class and appear online in the course schedule. Make-up exams will be given only under exceptional circumstances and if you contact me in advance. Books, notes, and electronic devices are not permitted during exams. Example solutions for the exams can be found in the solutions section after each exam.

To gain credit your answers must be clearly presented. Your work must show how you proceeded to find the answer or why your answer is correct. Scratch work should be clearly separated from what is to be graded.

The contributions to your total score will be weighted as follows.

Contribution | Homework + Quizzes | Midterm Exams | Final Exam |
---|---|---|---|

Weight (final grade) | 20% | 3 x 20% | 20% |

Weight (6-weeks grade) | 50% | 1 x 50% | 0% |

Your total score will be truncated to an integer percentage and determines your final grade as follows.

Total Score | 0-59% | 60-69% | 70-79% | 80-89% | 90-100% |
---|---|---|---|---|---|

Letter Grade | F | D | C | B | A |

Curving may be applied in form of a linear adjustment to all scores on a particular exam. I reserve the right to decide borderline cases based on class attendance and subjective impressions such as effort and conscientiousness.

Your starting points are the textbook and the lecture. It is easier to follow the lecture if you have seen the material before and presented from a slightly different point of view. I strongly recommend that you read each section in your textbook at home before it is covered in class. Try to isolate what you do not understand and be prepared to ask questions during the lecture.

Do not hesitate to ask questions. If something is unclear to you in class, just ask. You can be sure that many of the other students have the same question but do not dare to ask. If you let me know what your problems are, I can adapt the lecture and make it easier for you to follow. There are no stupid questions. On the contrary, asking the right question is often an important step in the process of solving a problem.

The importance of working on example problems can not be overemphasized. Try to work on the homework problems intensively and pick additional similar problems from your textbook.

Discussion is crucial to understand mathematics. I strongly encourage you to discuss both the material covered in class and your solutions of the homework problems with other students. The best way to check your own understanding of a subject is to explain it to someone else.

Ideally you solve the homework problems on your own, or working with other students. If you realize that you do not understand the homework problems, seek help immediately. With a backlog of not understood material it extremely difficult to catch up with the class again.

You are always welcome to see me in my office hour, or contact me by email if you have any questions or problems. If my office hours do not fit your schedule, please contact me by email for an appointment.

The following course schedule is preliminary.

Class Meeting |
Date | Sections from Textbook |
Subject | Homework Assignment |
Due Date |
---|---|---|---|---|---|

1 | 01/10 | 7.1 | Rings: Basic Definitions and Examples | 3,5,6,12,14,23 | 01/14 |

2 | 01/12 | 7.1 7.2 | ContinuedPolynomial, Group, and Matrix Rings | 1b,7,10cd,12 | 01/19 |

3 | 01/14 | 7.3 | Ring Homomorphisms and Quotient Rings | ||

- | 01/17 | - | Holiday | ||

4 | 01/19 | 7.3 | Continued | 12,15,17,27,30,33 | 01/24 |

5 | 01/21 | 7.4 | Properties of Ideals | ||

6,7 | 01/24 | 7.4 | Continued | Exam 1: 3,7,10,13,15,31,39,41 | 02/14 |

8 | 01/26 | 7.5 | Rings of Fractions | ||

9 | 01/28 | 7.5 | Continued | 7.5:1,2; 15.4:18,21,22 | 01/31 |

10,11 | 01/31 | 7.6 8.1 | Chinese Remainder Theorem Euclidean Domains | 3,5b,10,11,12 | 02/14 |

12 | 02/02 | - | Campus Closed | ||

13 | 02/04 | 8.1 | Continued | ||

- | 02/07 | - | No Class | ||

- | 02/09 | - | No Class | ||

- | 02/11 | - | No Class | ||

14 | 02/14 | 8.2 | Principal Ideal Domains | ||

15 | 02/16 | 8.3 | Unique Factorization Domains | ||

16 | 02/18 | 9.1-2 | Polynomial Rings | 9.1:13,14,15,17; 9.2:4,5,6d,10 | 02/28 |

17 | 02/21 | 9.3 | Polynomial Rings over UFDs | ||

18 | 02/23 | 9.4 | Irreducibility Criteria | 1bc,2cd,3,6,8,16,19 | 03/04 |

19 | 02/25 | 9.5 | Finite Multiplicative Subgroups of Fields | ||

20 | 02/28 | 9.6 | Hilbert's Basis Theorem and Gröbner Bases | 24,32 | 03/11 |

21 | 03/02 | 9.6 | Continued | ||

22 | 03/04 | 10.1 | Modules, Definitions and Examples | 8,14,16,22 | 03/11 |

23 | 03/07 | Exam 2 (Solutions) | |||

24 | 03/09 | 10.2 | Quotient Modules and Homomorphisms | ||

25 | 03/11 | 10.3 10.5 | Generators, Direct Sums, and Free Modules Exact Sequences | 11,12a,15 11ab,14a | 03/23 |

- | 03/14 | - | Spring Break | ||

- | 03/16 | - | Spring Break | ||

- | 03/18 | - | Spring Break | ||

26 | 03/21 | 10.5 | Diagram Chasing | ||

27 | 03/23 | 13.1 | Field Theory | 2,3,4,8 | 03/30 |

28 | 03/25 | 13.2 | Algebraic Extensions | 1,7,10,13,16 | 04/04 |

- | 03/28 | - | No Class | ||

29 | 03/30 | 13.2 13.3 | ContinuedStraightedge and Compass Constructions | ||

30 | 04/01 | 13.4 | Splitting Fields and Algebraic Closures | 1,3,5 | N/A |

31,32 | 04/04 | 13.5 13.6 | Separable Extensions Cyclotomic Extensions | 3,4,5 3,4,6 | 04/11 |

33 | 04/06 | 14.1 | Galois Theory | 1,3,4,5,9 | N/A |

- | 04/08 | - | No Class | ||

34 | 04/11 | 14.1 | Continued | ||

35 | 04/13 | 14.2 | The Fundamental Theorem of Galois Theory | ||

36 | 04/15 | Exam 3 | |||

37,38 | 04/18 | - 14.2 | Solutions of Exam 3Continued | ||

39 | 04/20 | 14.2 | Continued | ||

40 | 04/22 | 14.2 | Examples | ||

41 | 04/25 | 14.2 | Continued | Final Exam: 3,7,13,16 | 05/02 |

42 | 04/27 | 14.2 | Norm and Trace | ||

43 | 04/29 | - | Review | ||

44 | 05/02 | - | Final Exam | 8:00am-9:50am |

I will respect OSU's commitment to academic integrity and uphold the values of honesty and responsibility that preserve our academic community. For more information, see http://academicintegrity.okstate.edu.

This syllabus may be subject to future changes and it is your responsibility to be informed. Any change of the syllabus will be announced in class and appear online.