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Foundations of Mathematics
(MATH 6100-090, Fall 2015)

Instructor: Gábor Hetyei
Office: Fretwell 335F, Phone: 687-1045, E-mail: ghetyei@uncc.edu
Office hours: MW 10:55-11:25 am, W 4:15-4:40 pm, or by appointment.
Text: Proofs and Fundamentals by Ethan D. Bloch, Springer, ISBN: 978-1-4419-7126-5 (Print) 978-1-4419-7127-2 (Online). (Clicking on the link should take you to the UNCC library page where you can download it as an e-textbook. You may also visit http://library.uncc.edu/etextbooks.)
Prerequisite: Permission of the department.
Topics:
  1. Informal Logic
  2. Strategies for Proofs (skip section 2.6, "Writing Mathematics")
  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
We want to cover all chapters listed above, except for the skipped sections, listed in parentheses. Time permitting, and depending on interest, we may revisit some of the skipped sections listed above, or look into the "Extras" in Part III. 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: Tuesday October 6, 5:00-6:15 pm.
Final Exam: Tuesday, December 15, 2015 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, most to be turned in in writing, some will be presented by 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/6100/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 Smith 324.
Homepage: http://www.math.uncc.edu/~ghetyei/courses/6100/index.html
Disabilities: UNC Charlotte is committed to access to education. If you have a disability and need academic accommodations, please provide a letter of accommodation from Disability Services early in the semester. For more information on accommodations, contact the Office of Disability Services at 704-687-0040 or visit their office at Fretwell 230.