Class: MA 532-A1, Spring 2012.
Instructor: Ivan Zaigralin.
Email: Go here and type "show email".
Class Meetings: Tue, Thu 11:00am-12:30pm in CAS 325.
Office Hours: Tue 10:00-10:50am, Thu 1:00-1:50pm in MCS 149-A.
Text: Karel Hrbacek and Thomas Jech: Introduction To Set Theory, Third Edition, Revised And Expanded.
Course Web Page:
http://www.melikamp.net/math/ma-532-spring-2012.xhtml
The Web page will contain this syllabus, announcements, and the
assigned work. Check it before you email the instructor with
questions.
Official Description: Axiomatic set theory as a foundation for mathematics and as a field of mathematics: Axiom of Choice, the Continuum Hypothesis, and consistency results.
Informal Description: The course begins, if necessary, with a review of first order logic and formal systems. It then focuses on Axiomatic Set Theory as the basis framework for Mathematics, and as a distinctive field of Mathematics. With emphasis on the historical context, the theory is developed from its beginnings in the work of Cantor and Zermello through to modern preoccupations.
Proceeding through the basic axioms, the algebra of classes, and the set versus class distinction, mathematical concepts of number from integers to reals are discussed. Then Cantor's transfinite numbers and Continuum Hypothesis are considered, and Zermello's Axiom of Choice and its role in mathematics surveyed. Finally, recent results and current problems are broached.
Grading: 1/2 for exercises, 1/6 for the midterm, and 1/3 for the final. Exercises will be periodically assigned, collected on the due date, and corrected. They can be resubmitted once for full credit up to the due date of the succeeding assignment.
Make-Ups: None, except for documented emergency exceptions made at the instructor’s discretion.
Incompletes and Withdrawals: The Incomplete grade is given only to students who have maintained a good record through much of the course and suddenly find themselves in difficult circumstances. Here's official policy for CAS. Those students who find early on that they are not keeping up are encouraged to either drop the course or withdraw. Last days to add/drop with/without a 'W' grade can be found here.
Academic Conduct: CAS Academic
Conduct Code is available for your perusal at
http://www.bu.edu/cas/students/undergrad-resources/code/
A copy of the code is available in CAS 105 if you cannot access it
on the Web, and it is your responsibility to know and follow the
provisions of the code. In particular, all work that you submit in
this course must be your original work. Any cases of suspected
academic misconduct will be referred to the CAS Student Academic
Conduct Committee. Penalties for violating the Academic Conduct
Code may include suspension or expulsion from the University.