313 - Real Analysis I - Fall 2014 - UIC

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Time: 1000-1050 MWF.
Place: Lincoln Hall 315.

E-mail: benjamin.antieau@gmail.edu.
Phone: +1-312-413-3745.
Course webpage: dantie1.people.uic.edu/201403-313.html.
Course discussion site: piazza.com.

Office hours: 1100-1200 MW and 1600-1700 M in my office, SEO 418, or by appointment.

Book: Kenneth Ross, Elementary analysis: the theory of calculus, Springer, 2nd ed. We will cover the entire textbook. Lecture notes on uncountability are here: [pdf].

(Tentative) Syllabus:

9/1: Labor Day. No class.
10/15: Midterm 1.
11/28: Thanksgiving Holiday. No class.
12/1: Take-home final distributed.
12/5: Last day of class. Midterm 2. Take-home final collected.

Homework:

Set 1 - due Friday 9/5. Problems 1.3, 1.12, 2.2, 2.3, 2.5, 2.8, 3.8, 4.5, 4.6, 4.8, 4.10, 4.16 from Ross; problems 4 and 13 from here.
Set 2 - due Friday 10/3. Problems 7.4, 8.5, 8.9, 9.1(c), 9.2(b), 9.4, 9.9(a), 9.14, 10.1, 10.7, 10.10, 11.2, 11.9, 11.10, 11.11, 12.2, 12.10, 12.12, 12.14, 14.1, 14.14, 15.1, 15.6, 16.7, 16.10.
Set 3 due Monday 10/27. Problems 13.7, 13.9, 17.4, 17.10(b), 17.11, 17.12(a), 18.4, 18.7, 19.1, 19.2(c), 19.6, 19.7, 20.1, 20.2, 20.11(a), 20.12.
Set 4 - due Friday 11/7. Problems 23.1, 23.3, 23.4, 23.5, 23.6, 24.1, 24.3, 24.6, 24.10, 24.11, 24.17, 25.2, 25.4, 25.5.
Set 5 - due Friday 11/21. Problems 32.3, 32.6, 32.7, 32.8, 33.4, 33.5, 33.8(a), 33.4, 33.9 (important), 33.13, 34.2, 34.3, 34.6, 36.4.
Set 6 - due Friday 12/5. [pdf].

Evaluation:

There will be no final exam. Instead, we will have a written final project. Details to follow.
The final raw score will be computed with the following weights: 20% problem sets, 50% midterms, and 30% final project. The lowest homework grade will be dropped.
The grading scale will be set at the end of the quarter. But, it will be no tougher than A=90%, B=80%, and C=70%.
You may work collectively on the homework. You may also look to other sources for solutions. However, you must cite any outside source you have used in finding your solution. And, you must write up your solution in your own words.
Homework is due by the end of class in class on the day it's due. No late homework will be accepted.
I suggest you make a serious attempt at each problem before consulting a peer or another text.
A grade of 'F' will be assigned to any student who misses the final. Incompletes are reserved for those who have completed all of the work for the class, including the midterms, but who, for a documented reason, must miss the final.

Piazza:

I encourage everyone to use the free discussion board piazza.com for discussion of the class. Go to the website and enroll in MATH 313. This is a site that allows everyone to ask and answer questions. It is my hope that you will help each other out on the site. If there are questions about policies, exams, etc, please post them on piazza as well. I will answer them there so that the answers will be public and useful to other students.
You may post anonymously, for reference.

Miscellanea:

If you wish to request an accommodation due to a disability, please contact the Disability Resource Center at +1-312-413-2183.
Come to office hours!

Catalogue description: 313 Analysis I. 3 hours. The real number system, limits, continuous functions, differentiability, the Riemann integral. Prerequisite(s): Grade of C or better in MATH 215 or consent of the instructor.