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Real Analysis for Secondary Mathematics Teachers I
(MATH 6101-090/EDCI 8101-090, Fall 2018)

Instructor: Gábor Hetyei
Office: Fretwell 335F, Phone: 687-1045, E-mail: ghetyei@uncc.edu
Tuesdays and Thursdays 1:30-2:00 pm, Wednesdays 4:30-5:15 pm, or by appointment. Office hour times were changed on Monday, August 27, 2018!
Text: We will be using two textbooks:
  1. Proofs and Fundamentals by Ethan D. Bloch, Springer, ISBN: 978-1-4419-7126-5 (Print) 978-1-4419-7127-2 (Online).
  2. The Real Numbers and Real Analysis by Ethan D. Bloch, Springer, ISBN: 9780387721774.
Clicking on the links should take you to the UNCC library page where you can download them as e-textbooks. You may also visit http://library.uncc.edu/etextbooks. We will continue using the second textbook in MATH 6102/EDCI 8102.
Topics:
From our first textbook:
  1. Informal Logic
  2. Strategies for Proofs (skip section 2.6, "Writing Mathematics", may be covered out of order with examples from Real Analysis)
  3. Sets (skip section 3.5, "Axioms for Set Theory")
  4. Functions (skip section 4.5, "Sets of Functions")
  5. Relations (skip section 5.2, "Congruence")
  6. Finite Sets and Infinite Sets
From our second textbook:
  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)
We want to cover all chapters listed above, except for the skipped sections, listed in parentheses. In some sections we will only cover the results, without discussing their proofs. In lectures I will also skip most of the Introductions at the beginning of each chapter, you are supposed to read these at home for better motivation.
Test dates:
Midterm: Wednesday October 3, 5:30-6:45 pm.
Final Exam: Wednesday Dec 12, 5:00 - 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://webpages.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: Wednesdays 5:30 pm - 8:15 pm in Fretwell 407.
Homepage: http://webpages.uncc.edu/ghetyei/courses/6101/index.html Website address was changed on Monday, September 17, 2018