INTRODUCTORY REAL VARIABLE THEORY

Winter, 99 Syllabus MTH 424 CC

Instructor: Dr. Sergey Belyi  mail.gif (1077 bytes)

Time: 10:00-10:50 MTWRF, COMPLX 230

Office Hours: 8:00-9:00, 11:00-12:00 COMPLX 235-B, ext. 3467

Text: Real Analysis, by Patrick M. Fitzpatrick

Catalog Description: We will cover Chapters 1—6, 9 if time permits Chapters 7 and 8. Basic propositions of real variable theory, set theory, sequences, functions, limits, continuity, uniform continuity, derivatives, and Riemann integral. Prerequisites: MTH 263.

Course Objectives: Upon completion of the course, the student should be able to:

  1. Sets, relations, functions, and the real number system.
  2. Sequences convergence, divergence, and Cauchy sequences.
  3. Limits, continuity, compactness, and inverse functions.

Course Requirements:

  1. The student is expected to attend each class session and to participate in class discussion.
  2. The student is expected to complete all homework assignments punctually.
  3. The student is expected to participate in chalkboard work when called upon.
  4. The graduate student's knowledge and experience will be individually assessed. Appropriate research assignments will be required which will broaden the knowledge base of the individual student and/or supplemental problems will be assigned for study or presentation.

Tests and Grades: Four tests will be given, but only three of them will count toward the 75% of a final grade. A comprehensive final exam will constitute approximately 25% of the final grade. Students missing a scheduled test will have a zero (0) score recorded.

Homework: Homework will be assigned from each section covered. This homework will not be collected, however, test problems will be very similar to the homework problems.

American with Disabilities Act: Any student whose disabilities fall within ADA must inform the instructor at the beginning of the term of any special needs or equipment necessary to accomplish the requirements of this course.

Additional Services: Students who have or may be dealing with a disability or learning difficulty should speak with the instructor, contact the Office of Adaptive Needs Program (Wright 226), or call 670-3220/3221. Various accommodations are available through the Adaptive Needs Program.

This syllabus represents a tentative plan for the instruction in this course. If, in the opinion of the instructor, learning may be optimized, it may be changed at any time. This syllabus is a best possible assessment of the course aspirations, assignments and requirements at the time it was developed for this quarter.

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08/17/00