Introduction to Analysis (94995) - Fall 97
TR 4:30-5:50 in BUSN 304
- Instructor.
Dr. H. Knaust, Bell Hall 219, tel. 747-7002,
e-mail: helmut@math.utep.edu
- Office Hours.
MW 3:00-4:30, or by appointment.
- Other Help.
-
Club Zero will sponsor an Analysis Workshop on the 4th floor of the classroom building Mondays,
Wednesdays and Thursdays from 5:00-8:00 p.m.
- Textbook.
Edward D. Gaughan, Introduction to Analysis, 4th edition, Brooks/Cole, 1993.
The textbook is required at all class meetings; Chapter0-5 are intended to be
read in full.
- Prerequisites.
I will assume that you have a thorough knowledge of the
material covered in the first two Calculus courses.
It is strongly recommended that you take Math 3325 "Principles of Mathematics",
before you take Math 3341.
- Contents.
The course will "uncover" the first five chapters of the textbook.
- Course Objectives. Real Analysis is "Calculus with Proofs". I expect you
to learn
- how to investigate the definitions of the basic concepts of Analysis
such as convergence, continuity, differentiability and integration;
- how to use the method of proof to establish the fundamental properties of these concepts.
Some ideas "how to do proofs" and "how to write proofs" can be found on my homepage
http://helmut.knaust.info.
- Homework.
The most important part of the course is your homework.
I will regularly assign homework, which will be collected and graded.
Some of the assignments will be individual assignments,
while others will be group projects.
Your chances of passing the course without spending a
significant amount of time on the assignments are zero.
Your homework and your in-class work (see below) will account for 40% of your grade.
- In-class Work. You will also spend quite some time in class working in small groups.
Some of these in-class projects will be collected and graded.
- Tests.
Two tests will be given on the following dates:
- Thursday, September 25
- Thursday, October 30
Each test counts 15% of your grade.
Make-up tests
will only be given under extraordinary
circumstances, and only if you notify the instructor
prior to the exam date.
- Final.
The final on Tuesday, at 4:00-6:45
is mandatory and comprehensive.
It counts 30% of your grade.
- Time Requirement.
I expect that you spend an absolute minimum of six hours a week
outside of class on solving homework problems,
reading the textbook and reviewing your class notes.
Students in the past have considered this to
be a very hard class. Plan on spending time beyond the minimum requirement
to master the material.
- Drop Policy.The drop policy at UTEP has changed! The class schedule lists
Friday, October 17
as the last day to drop with an automatic "W". There will be no more faculty-initiated course
drops. After the deadline, the
course can be dropped only with a grade of "F". Consult the Fall Class Schedule, page 3, for details.
- Information on the Web.This syllabus and all home work
assignments can be found on my homepage
http://helmut.knaust.info.
August 20, 1997