SPRING 2000- COURSE INFORMATION

SECTION: 61254, 10:10-11:00 MWF, Ayres 127

INSTRUCTOR: Prof. Alex Freire, Ayres 304, 974-4313, freire@math.utk.edu

OFFICE HOURS: Tu ,W,Th 11-12 , or by appointment

TEXT: Introduction to Abstract Mathematics, by W.Wade

GOAL: The main purpose of the course is to develop students' ability
to

analyze, formulate, write and orallly present mathematical PROOFS
and ideas.

PREREQUISITE: Two semesters of calculus

MAIN TOPICS: Basic set theory, propositional calculus and
quantifiers, relations

(order, equivalence relations, functions), proofs by induction,
algebraic properties

of the real numbers, countability, completeness of the real numbers

CLASS POLICIES

1. ATTENDANCE IS EXPECTED-

Students who miss a class are responsible for finding out what was
covered. This will

on occasion include material not found in the text- anything presented
in class is considered an

integral part of the course, so students are encouraged to take notes.

2. HOMEWORK- Homework will be assigned every week (usually 6 to 8 problems
per

week), and collected at the beginning of class on Friday. Late
homework will not be

accepted. For full credit, proofs must be written in detail.

PRESENTATIONS- Students should indicate in the homework which problems
they are

willing to present in class. Each Friday, between 3 and
5 students will be selected at random to

present a problem in class. If the solution presented is
correct, the score for that problem

will be doubled; if incorrect, it will be set to zero.
It is expected that each student

will present between 3 and 5 problems during the semester.

COLLABORATION-Students are allowed to work together when solving homework
problems.

However, written solutions must contain acknowledgement of collaboration
or help

received. Copying written work (or allowing one's work to be
copied) is considered academic dishonesty.

3. GRADING- The course grade will be based on homework (20%)
, three written exams

(16% ea.) and a comprehensive final (32%) . The exam dates are:
February 11, March 10, April 7.

Books and notes may not be usued and calculators will not be needed.
There will be no makeup

exams- the instructor must be notified in advance of any justifiable
absences.

The expected grading scale is: A:80-100, B:70-79, C: 55-69, D:
45-54; average lower than

45 or less than 50% on the final:F