**Course:** Math 311, Section T6

**Time and Location:** TTh 6:00-8:30pm, May 30th through August 15th, HILL 423

**Instructor:** Fei Qi

**Office:** Hill Center, Room 624

**Office Hours:** TTh 5:00-6:00pm, 8:30-9:00pm, or by appointment.

**Email:** fq15 (at scarletmail dot rutgers dot edu)

**Webpage:** http://math.rutgers.edu/~fq15

** Textbook:** The second edition of *Understanding Analysis*, by Stephen Abbott

** Other References:** The second edition of *Mathematical Analysis*, by Vladimir Zorich

The second edition of *Elementary Real Analysis*, by Brian S. Thomson, Judith B. Bruckner, Andrew M. Bruckner

** Prerequisites: ** Math 300: Introduction to Mathematical Reasoning

** Reference: ** The Version 2.1 of *Mathematical Reasoning: Writing and Proof*, by Ted Sundstrom

Warning: If you have not taken Math 300, then you are not allowed to register for my class.

** Studying the course materials: ** This course emphasizes on accurate statements and rigorous arguments. Although it is not difficult to understand these statements and arguments, many students find it hard to formulate a statement and construct an argument by their own. So you need to internalize all the statements of the definition and the theorems. Also, you should attempt to reconstruct the proofs taught in class. Simply making sense of the course materials takes 1 hour per week of after-class studying. To internalize them you might need at least 4 hours per week.

** Oral Quizzes: ** At the beginning of each lecture, I will ask some students to recall the definitions and theorems learned in the previous class when I am checking attendance. The quiz will be graded in two points: one point is for free if you are there, another will be given if you managed to give a 100% correct statement.

** Homework:** For each lecture, four problems in the textbook will be assigned as homework. These problems are chosen in order to facilitate the internalization process. The after-class workload is usually 4 hours per week. Please feel free to discuss the problems either with your peers or with me. Also, you can study the solution manual of the textbook. I will not collect the homework write-up.

** Written Quizzes: ** One or two homework problems from the previous lecture will be chosen for the quiz, so as to check if you have done the homework and got the point. Usually, the quiz problems are easier than the actual homework problem so that they won't take too much time.

** Workshop: ** This is probably the most important component of the class. The problems are chosen to test if you do develop the necessary skills and techniques for constructing proofs. The workshop is usually held at the end of the Thursday class. You will work together with two or three other students on the problems. I will walk around to assist the discussion.

You are expected to submit the solutions to ALL the problems in PDF files on Sakai. Your writing must be readable on a computer screen. Typing with LaTeX is preferred but not required. All other formats (JPG, GIF, etc.) will be rejected. The after-class workload is usually 6 hours per week.

** Exams:** There will be one midterm exam and a cumulative final. All exams will be closed-book and student-prepared formula sheets will not be permitted. The dates of the exams listed in the lecture schedule are tentative. The actual dates will be announced in class. Without truly compelling, documented reasons, missing an exam will result in zero grade. Please plan your schedule well.

*Anyone scoring less than 35% in the final will automatically fail the class, no matter how he or she did during the semester. *

** The Crime of Abusing Algebra**: Please read the Basic Rules of Algebra carefully and make sure you know them well. Violation of these rules in homework and exams, including but not limited to the mistakes shown in this link, constitutes the crime of abusing algebra and will result in **SERIOUS PENALTY**. If you have difficulties, a series of links on my webpage is provided to help.

** Bonus Credit:** Constructive suggestion to my teaching is very welcomed and will be rewarded with grades. Depending on how constructive your suggestion is, different types of rewards may be issued, including but not limited to, extra points in homework or exams, promotion of borderline grades, etc.. Also if you catch me making a mistake in class, you will also be rewarded.

** Extra help** - Students are encouraged to come before classes or stay after classes for my office hours or to make any additional appointments with me. I am also always available through email.

** Academic Integrity**: All Rutgers students are expected to be familiar with and abide by the academic integrity policy
(http://academicintegrity.rutgers.edu/academic-integrity-at-rutgers).

Violations of the policy are taken **VERY SERIOUSLY**.

** Accomodation to Students with Disability: ** Full disability policies and procedures are indicated at http://ods.rutgers.edu/. Students with disabilities requesting accommodations must present a Letter of Accommodations to the instructor as early in the term as possible (see https://ods.rutgers.edu/my-accommodations/letter-of-accommodations).

** Grading Breakup:** The total grade will be calculated in the following way:

Oral Quiz: 10%

Written Quiz: 10%

Workshop: 20%

Midterm: 20%

Final: 40%