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FOUNDATIONS OF REAL ANALYSIS
(MATH 6101-090/EDCI 8101-090, Fall 2016)

Instructor: Gábor Hetyei
Office: Fretwell 335F, Phone: 687-1045, E-mail: ghetyei@uncc.edu
Tuesdays 4:00 to 4:45 pm or by appointment.
Text: The Real Numbers and Real Analysis by Ethan D. Bloch, Springer, ISBN: 9780387721774.
Prerequisite: MATH 6100 with a grade of C or better or consent of the department.
Topics:
From your notes and handouts:
Set theory.
From our text:
  1. Construction of Real Numbers (Chapter 1)
  2. Properties of Real Numbers (Chapter 2)
  3. Limits and Continuity (Chapter 3)
  4. Sequences (Chapter 8)
  5. Series (Chapter 9)
Test dates:
Midterm: Tuesday October 4, 5:00-6:15 pm.
Final Exam: Tuesday December 13, 5:00 pm - 7:30 pm
(Double-check in the UNCC Exam schedule !)
The final exam will be cumulative, consisting of two parts. The first part will be mandatory, covering only material taught after the midterm. The second half will contain questions reviewing the material taught before the midterm. This part will be optional, if left unanswered, I will substitute your midterm score.
Homework: Homework will be assigned every week, some to be turned in in writing, some will be presented by a volunteer or a randomly selected student in class. Since we meet only once per week, you should be planning on attending all lectures. If you are unable to come to a class you have to turn in all homework assigned for oral presentation on that day. I will make an effort to regularly post the homework on the webpage
http://www.math.uncc.edu/~ghetyei/courses/6101/hw.html.
In case of discrepancy, what I said in class is "official".
Evaluation: Grades will be based on: 34% for the homework, 33% for the midterm, and 33% for the final (22% for the mandatory part, 11% for the optional part).
Class meeting: Tuesdays 5:00-7:45 pm in Fretwell 114.
Homepage: http://www.math.uncc.edu/~ghetyei/courses/6101/index.html