Oklahoma State University - Department of Mathematics

Algebra I (MATH 5613) Fall 2011



You are expected to attend class on a regular basis and participate in class discussion. You are responsible for knowing the material covered in class and that in the corresponding sections in your textbook.


Homework assignments and due dates will appear in the course schedule. Turn in your solutions at the end of the lecture at the given due date. Late submissions will not be accepted.


There will be 2 midterm exams and a final exam, but no quizzes. 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.


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

HomeworkMidterm ExamsFinal Exam
Course Grade30%2 x 20%30%
6-Weeks Grade50%1 x 50%0%

Your total/6-weeks score will be truncated to an integer percentage and determines your course/6-weeks letter grade as follows.

Letter GradeFDCBA

Curving may be applied in form of a linear adjustment to all scores on a particular exam.

How to learn?

Your starting points are the textbook and the lecture. I recommend that you at least skim through upcoming sections of the textbook at home before they are covered in class. If you have time to read in depth, try to isolate what you do not understand and be prepared to ask questions in class.

Do not hesitate to ask questions. There are no stupid questions. On the contrary, asking the right question is often an important step toward the solution of a problem.

The importance of working on example problems can not be overemphasized. Work on the homework assignments intensively. If you find time, pick additional problems from the textbook, from other algebra textbooks, or from the Archive of Doctoral Exams in Algebra.

Discussion is crucial for learning abstract concepts. 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 is to explain to someone else. However keep in mind that in exams you are on your own, so please try solving the homework problems yourself first before you seek help.

It is essential to work contstantly to keep up with the class. As a rule of thumb, I suggest to study at least two hours per hour of class time. Contact me immediately if you get the feeling that you fell behind.

Need help?

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.

Course Schedule

The following course schedule is preliminary.

Date Textbook
Subject Homework
Due Date
108/22I.1-2Groups, Subgroups, Homomorphisms
208/24I.2-3Cosets, Index Formula, Factor Group, Exact Sequences
308/26I.3Homomorphism Theorems, Semidirect ProductsHomework 108/31
408/29I.3-4Solvability, Cyclic Groups
508/31I.4-5Cyclic Groups (ctd), Group Actions
609/02I.5Group Actions (ctd), Symmetric Groups Homework 209/07
-09/05-University Holiday
709/07I.5-6Alternating Groups, p-Groups
809/09I.6Sylow's TheoremHomework 309/14
909/12I.6Applications of Sylow Theory
1009/14I.6Applications of Sylow Theory (ctd)
1109/16I.7Direct Sums and Free Abelian GroupsHomework 409/21
1209/19I.8Finitely Generated Abelian Groups
1309/21I.9Dual Groups
1409/23I.10Inverse LimitsHomework 509/28
1509/26I.11Categories and Functors
1609/28I.11Categories and Functors (ctd)
1709/30I.1-11Exam 1Homework 610/05
1810/03I.12Coproducts and Free Groups
1910/05II.1Rings and Modules
2010/07II.2Commutative RingsHomework 710/12
2110/10II.2-3Prime Ideals and Polynomial Rings
2210/12II.3(Semi)group Rings
-10/14-Students' Fall Break (No Classes)Homework 810/19
2410/19II.4-5Localization Examples, Euclidean Domains
2510/21II.5Factorial RingsHomework 910/26
2610/24Comp. Exam Problems
2710/26III.1-2Algebras, Modules
2810/28III.3-4(Co-)Products, Free and Projective Modules
2910/31III.4-6A Projective Non-Free Module, Vector Spaces, Dual Modules
3011/02III.6Dual Modules (ctd)
3111/04III.7Modules over PIDsHomework 1011/11
3211/07III.8-9Euler-Poincaré Maps, Snake-, 4-, 5, 9-Lemma
3311/09III.10Direct and Inverse Limits
3411/11III.10Limits (ctd), Filtrations and Graded Rings
3511/14II.1-III.10Exam 2Homework 1111/21
3611/16IV.1Polynomials vs. Polynomial Functions
3711/18IV.2Polynomials over Factorial Rings
3811/21IV.3Irreducibility CriteriaHomework 1212/05
-11/23-First day of students' Thanksgiving break (No Classes)
-11/25-University holiday
3911/28-No Class Meeting (replaced by afternoon meeting)
4011/30-No Class Meeting (replaced by afternoon meeting)
4112/02-No Class Meeting (replaced by afternoon meeting)
4212/05IV.4Hilbert's Theorem
4312/07IV.5Filtrations, Grading and Strict Maps, Partial Fractions
4412/09IV.6Symmetric Polynomials
.Final Exam

Academic Integrity

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.