Introduction to Analysis (22006) - Spring 2001
MWF 11:30-12:20 in CRBL 003
- Instructor.
Dr. H. Knaust, Bell Hall 219, tel. 747-7002,
e-mail: helmut@math.utep.edu
- Office Hours.
MWF 10:30-11:20, or by appointment.
- Textbook.
Edward D. Gaughan, Introduction to Analysis, 5th edition, Brooks/Cole, 1998.
The textbook is required at all class meetings; Chapters 0-5 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.
I recommended that you take Math 3325 "Principles of Mathematics",
before you take Math 3341. Do not take Math 3325 and Math 3341 simultaneously!
- 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
.
- In-class Presentations. The course participants will take center
stage during class meetings.
You will regularly give presentations of proofs of results in the textbook
and present solutions to problems in class. Your presentations are the most
important part of the course.
Your chances of passing the course without spending a
significant amount of time on preparing in-class demonstrations are zero.
Your in-class work, evaluated for both quality and frequency, will account for
25% of your grade.
- Homework. I will regularly assign written homework. The homework will be graded
and will contribute 10% to your grade.
- Tests.
Two tests will be given on the following dates:
- Wednesday, February 21
- Monday, April 9
Each test counts 20% 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 Wednesday, May 9 at 1:00-3:45
is mandatory and comprehensive.
It counts 25% of your grade.
- Time Requirement.
I expect that you spend an absolute minimum of six hours a week
outside of class on problem preparation, problem review,
reading of the textbook and review of your class notes.
Students in the past have considered this to
be a very hard class. Plan on spending time beyond the minimum requirement mentioned above
to master the material.
- Drop Policy.
The class schedule lists
Monday, March 12
as the last day to drop with an automatic "W". 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 ancillary material can be found on my homepage
http://helmut.knaust.info
.
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