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• Instructor. Dr. H. Knaust, ENGR 229, 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.
  If you consider taking Math 3325, I recommend 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
  • thoroughly understand the definitions of the basic concepts of Analysis such as convergence, continuity, differentiability and integration;
  • become familiar with the fundamental results of "Analysis on the Real Line";
  • use the method of proof to establish these fundamental results. 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 of the content and the presentation, will account for 30% 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:
  • Monday, February 17
  • Friday, April 4
  Each test counts 15% of your grade. Make-up tests will only be given under extraordinary circumstances, and only if you notify me prior to the exam date.

• Final. The final is mandatory and comprehensive. It accounts for 20% of your grade.

• Book Review. You will read a "popular" mathematics or science book, and write a review of the book. The book review will count 10% of your grade. The selection of books will take place in the second week of classes.

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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.

  

• Attendance. Due to the course structure, attendance is mandatory. An unexcused absence will result in a presentation grade of 0 for the day of the absence.

• Drop Policy. The class schedule lists Friday, March 7, 2003 as the last day to drop with an automatic "W". After the deadline, you cannot drop the course.

• Information on the Web.This syllabus and ancillary material can be found on my homepage http://helmut.knaust.info.
  

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