Math 5615H-002, Honors Analysis I, Fall 2019

ANNOUNCEMENTS: here I will post the latest news related to the course; please check this area regularly.

Sept. 9: Here are some notes for the material I covered in the first three lectures: construction of integers and rationals
Sept. 16: The first homework assignment has been posted. It is due on Monday, Sept. 23.
Sept. 27: The second homework assignment has been posted. It is due on Friday, Oct. 4.
Oct. 7: The third homework assignment has been posted. It is due on Monday, Oct.14.
Oct. 21: The fourth homework assignment has been posted. It is due on Monday, Oct. 28.
Nov. 1: The fifth homework assignment has been posted. It is due on Friday, Nov. 8.
Nov. 13: The sixth homework assignment has been posted. It is due on Wednesday, Nov. 20.
Nov. 13: A reminder that the midterm will be on FRIDAY, NOV. 22, in class.
Nov. 20: The seventh homework assignment has been posted. It is due on Monday, Dec. 2.
Nov. 22: Here are solutions to the problems in the midterm

Instructor: Ionut Ciocan-Fontanine
Office: VinH 450; 612-625-7801
email: ciocan@math.umn.edu
URL: http://www.math.umn.edu~cioca001
Lectures: MWF 2:30 - 3:20, VinH 2
Office hours for Fall 2019: MF 3:35pm - 4:25pm, Th 2:30 - 3:20 pm, VinH 450, or by appointment.
Text: W. Rudin, Principles of Mathematical Analysis, 3rd Edition

Course description: This course's main purpose is to provide a rigorous foundation to topics you've encountered in Calculus. It will continue in the Spring semester as Math 5616H. My intent is to cover pretty much the entire book over the two semesters.

Prerequisites: Calculus I-III and Math 3283W, or a similar proof-based course, e.g., Math 2283.

Homework: There will be about 8 homework assignments, usually due on Fridays, in class. The homework scores will contribute 30% to your course grade. Late homework will NOT be accepted. You are strongly encouraged to collaborate on homework, as long as you write up the solutions individually and state on your paper with whom you have collaborated. You will find the homework assignments here .

Exams:There will be a one hour midterm exam, towards the middle of the semester (date TBA later) and a final exam on Monday, December 16, 1:30-3:30.
The midterm will account for 25% of your grade, and the final exam will account for the remaining 45% of your grade. The exams will consist mainly of problems illustrating and applying the material covered in class (and in your homework assignments), but I may also ask you to give proofs that were presented in the lectures. The exams will be closed-books, closed-notes, with no "cheat sheets" or calculators allowed.