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• 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.

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• 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:
  • Friday, September 29
  • Friday, November 3
  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 Monday, December 11 at 10:00-12:45 is mandatory and comprehensive. It counts 25% of your grade.

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• 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, October 23 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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