A set of summary notes with definitions, theorems and exercises is available at the Google Classroom site, on the Classwork page, under the heading Materials.
There is no single required textbook for this course, but the following textbooks are recommended.
The first two of the following textbooks are the best, but only if they can be found for free or very inexpensively.
The third textbook is not quite as good as the first two, but is officially free.
The summary notes are keyed to the corresponding sections of these three texts.
Fraleigh, John, A First Course in Abstract Algebra, 7th ed., Addison- Wesley, Reading, MA, 2003;
Gallian, Joseph A., Contemporary Abstract Algebra, 7th ed., Brooks/Cole, Belmont, CA, 2010;
This course is an introduction to modern abstract algebraic systems, specifically groups, rings and fields. The focus of the course is a rigorous treatment of the basic theory of groups (subgroups, quotient groups, homomorphisms, isomorphisms, group actions), and an introduction to rings and fields (ideals, polynomials, factorization).
This course provides an opportunity for students to develop their skills at formulating and writing rigorous mathematical proofs, and it makes use of the methods and concepts of Proofs and Fundamentals (Math 261).
The prerequisite is Proofs and Fundamentals (Math 261).
If you are unsure whether Math 332 is an appropriate course for you, please consult with the instructor.
Google Classroom and Email:
All the needed information for this class will be available at the Google Classroom site for this class, on the Classwork page. You will be invited to joint this Google Classroom site at the start of the semester.
All homework assignments will be posted, and submitted, at the Google Classroom site.
Urgent announcements may be sent out via campus email, so make sure you either check your Bard email regularly or have your Bard email forwarded to the email address of your choice.
Calculators, Computers and Electronic Devices:
Use of a computer will be needed for typing the homework in LaTeX, which will be required for all homework assignments, as discussed in class.
Calculators are not needed for this class.
Electronic devices, including cell phones, tablets and laptop computers, may be used during class only for reasons related to the class, for example as calculators, to take notes or to read the text.
Texting, messaging and using social media is not allowed during class.
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