AMAT 326: Classical Algebra — Fall 2013

Classroom 
CH
151 
Class hours 
MWF
12:35—1:30pm 
Professor 
Boris
Goldfarb 
Office 
Earth
Science 120B 
Office hours 
M
11:30am—12:30pm and WF 1:30pm—2:30pm 
Telephone 
5184424712

Email address 
bgoldfarb at albany.edu 
WWW page 
About
the course:
The text is A Concrete Introduction to Higher Algebra, by Lindsay
Childs, 3rd edition. During the first class I will be explaining the contents
of the book and setting up goals. We will start by learning properties of integers including the Division Theorem and operations in various bases. The main purpose of this stage is to learn to use induction and other techniques to prove facts about integers. Next we will develop Euclid's Algorithm and use it to solve Bezout's identities, apply it to study congruences and congruence classes. There are many beautiful applications of this material such as sieves for finding prime numbers. We will generalize the methods to other rings and prove Fermat's and Euler's Theorems in that setting. Applications of these theorems include RSA codes and study of 2pseudoprimes. We will review matrix algebra and apply earlier material to errorcorrecting codes. Exams: There will be two midterm tests. Reading/Homework/Quizzes/Tests: Read the sections we cover in class immediately after each lecture. Homework problems from the text will be posted and updated here, on this web page. You don't have to turn in solutions. However, the quizzes which will be usually given every (nontest) week will consist of one/two/three problems very similar to those in the homework due that week. Each quiz will be worth 5 points. There will be one or two homework assignments, better described as projects, that will be graded, also out of 5 points. Out of all quizzes and graded projects, only the best 10 grades will matter. This is designed so that I don't have to give makeup quizzes. Unless there is a very unusual and meticulously documented situation which forces one to miss many quizzes, no makeups will be given. Homework assignments: To see the homework assigned during
the corresponding week, follow the link on the left. To see the solution of
the quiz or the test given that Friday, follow the link on the right.
Grades: The course letter grades will be based on a curve
obtained from quiz and test scores according to the following scheme:
The following information is added to
satisfy the Minimum Contents of a Class Syllabus requirements. The
prerequisite for this course is A MAT 113. The course is AE graded.
Attendance is critical to success in the class. 