Syllabus
MATH 282 Foundations of
Mathematics II Spring
2003
Instructor: Richard
Stark, SB
172, ext. 4371, e-mail: rkstark@smcm.edu,
rstark@gmpexpress.net
Time and Place: MWF
Text: Foundations
of Abstract Mathematics -- A set of notes written for this
course by the St.
Mary's mathematics faculty.
Contents
The second semester begins with a construction of the
integers from natural numbers. The
properties of integers are derived, then the rational
numbers are introduced. Real numbers are
defined by using “cuts” of rational numbers, and the completeness property of the
real number system is proved. The
complex numbers are seen as ordered pairs of reals.
The course then proceeds with a discussion of the elementary
properties of metric spaces: the
properties of open, closed, compact, and connected sets are explored. Finally, continuous functions are defined and
discussed, and some [PC1]important
theorems of the calculus are proved.
Classes
The format of classes will be discussed in the first class
meeting.
Help
Feel free to come to my office for help, or just for a
chat. Bring your questions and discuss
your problems with me.
Kristine Roinestad will again be the teaching assistant for
this class. She will attend classes and
schedule weekly help sessions, and she will also be available for individual
help.
Homework
Homework will not be collected but please turn in problems
that you have worked if you are not sure about your answers or need some
feedback. Any homework problems can be
discussed in class at your request.
Evaluation
This will also be discussed in the first class meeting.
Examination Schedule
Tests
-- Friday, February 21; Friday, March 28; Friday, April 25.
Final
-- see the college exam schedule.