Math 3100: Introduction to Analysis: Sequences and Series--MWF 10:10-11:00
                                          Spring  2004

         Instructor: Dr. Jingzhi Tie
       Office Hours: MWF 9:00-10:00 AM, Boyd 318, or by appointment.
              Phone: (706) 542-2067
             E-mail: jtie@math.uga.edu
    Course web Page: http://www.math.uga.edu/~jtie/teaching/spring-04/3100.html

                    The distance is nothing; it's the first step that is difficult.

Text: Introduction to Analysis,  by Arthur Mattuck, published by Prentice Hall, Inc.

Class Time, Place: MWF  10:10-11:00, 302 Boyd.

Office Hours: MWF 9-10 am in Boyd 318, or by appointment. You are urged to get your questions out of the way by coming to my office hours.
It is impossible to understand everything perfectly in class. You are welcome to drop by my office any time if I am in my office, even it is not
office hour.

Prerequisites: You must have finished the Calculus series : Math 2200, 2210 or the honors Calculus (preferred).: 2310, 2400, 2410.

Syllabus and Objectives of the Course:

The objective of this course is to study the theory of sequences and series. This course will cover Chapters 1-11 and Section 22.1, 22.2 and 22.3 of the text. Deviations (minor if any) may be necessary. This course is intended to serve as a forum to facilitate your active learning of the material. You are responsible for understanding the material and keeping up with the course, not just showing up for the class. You are expected to be able to demonstrate your understanding of the material by solving the problems similar to those covered in class, not just repeating things exactly like the ones on the board.

Homework Assignments and Quizzes: Weekly homework will be assigned and posted on the course web page http://www.math.uga.edu/~jtie/teaching/spring-04/homework.html.   You are expected to do the homework on your own everyday. Past experience shows that students who do not take homework seriously do poorly on the exams and most of them fail. Late homework will not be accepted (always due during class on the due date).

As for the future homework due date. Here is the general rule we will follow:
1. the homework is organized in chapter, i.e., one homework per chapter.
2. If we finish the centain chapter today, then the homework of that chapter is due on next class.
3. we generally will cover one chapter per week, so I will most likely collect homework once a week.
I hope this will clearify any question you had about homework.

If you have not taken an honors calculus course, you will most likely experience some culture shock--Unlike a regular calculus course, problems in this course are not routine and you are required to write convincing proofs. It is not uncommon that you will spend hours, sometimes even days, to solve a single problem. If you don't persist, you will benefit little from the course.

MATHEMATICS STUDY HALL Hours: The spring 2004 Math Study Hall will be held in Room 302 Boyd and provides FREE tutoring from 3:30pm-5:30pm on Mondays, Tuesdays, Wednesdays, and Thursdays during the spring semester.
TUTORIAL SERVICES  (FREE) : Monday - Friday. Call for an appointment; 50 minute sessions.  Call 542-7575, Milledge Hall, behind Memorial Hall.

Exam Dates:

Test one
February 11, Friday
Test two
March 26, Friday
Test three
April 26, Friday
Final Exam
May 7, Friday, 8-11AM

Special Note about the final exam: I will go to a conference from May 2 to May 9.  If you
have any question during that period, Please send me a message and I will answer
your question if I have access to a computer. I just moved the third test from
April 28 to April 26. We will leave the last two classes to review the material
for the final exam.  You should go through all the test problems and homework
problems during the review for the final exam. I have posted the solutions of
the tests and homeworks. If you note any mistakes or typos, please let me know.

Make-up  Exams: There will be no make-up exams. I will drop two of your lowest scores on homework and one of your lowest scores on the tests.

Class Attendance and Participation are very important in this class. I will randomly take attendance and  reserve the right to withdraw you from the class if you miss too many classes and/or too much work--this will save you from frustrations later on in the course, as well as save other students from being held back because of your missing classes/work. In order to protect class from distraction, coming-later-for and leaving-early-from classes are discouraged. Tell me in advance if you must come late or leave early.

Collaboration and Academic Honesty: You are strongly encouraged to form study groups to work on your homework and discuss the material for the course. However, you must write up your own homework.  Above all, UGA Academic Honesty Policy applies — See the web site http://www.uga.edu/ovpi/academic_honesty/culture_honesty.htm.  Here are some quotes from the UGA Academic Honesty Policy: "Every student has an obligation to be informed concerning the terms of this policy. Accordingly, lack of knowledge of the provisions of this policy is not an  acceptable defense to a charge of violating this policy."  "Any member of the University Community with direct personal knowledge of the facts related to an alleged violation of Section 5 of this policy has a responsibility to the entire University Community to file a charge."

Grading Policy:  Homework 30%; Hour Exams  30%; Final Exam 40%. You need to shows steps for solutions of problems. No credit will be given to a straight answer to a problem without explanation, unless it is a yes-or-no type problem. You are expected to write your problem solutions in such a way that are understandable by your fellow classmates.

Calendar: 

Spring Semester 2004

(Based on 50 minute classes (M-W-F), 75 minute classes (Tu-Th),
15 weeks of classes, 75 days of classes.)
Orientation Jan. 5, M
Advisement Jan. 6, Tu
Late Registration Jan. 7, W
Classes begin Jan. 8, Th
Drop/Add Jan. 8-13, Th-Tu
Holiday (M.L.K. Day) Jan. 19, M
Midterm Mar. 2, Tu
Midpoint Withdrawal Deadline Mar. 5, F
Last day of classes (prior to Spring Break) Mar. 5, F
Spring Break Mar. 8-12, M-F
Classes Resume Mar. 15, M
Classes End Apr 29, Th
Reading Day April 30, F
Final Exam Friday, May 7, 8-11
Commencement May 8, Sa
Grades Due May 10, M
Notes:
1. The University shall operate a Monday class schedule on Thursday, April 29, 2004. The last Tuesday/Thursday class for spring semester 2004 shall be on Tuesday, April 27, 2004.

Approved by the University Council - 4/25/02

                 


Solution of the homework and tests:

I will post the solution of the homework and tests here when it is available. 

 Solution of homework One
 Solution of homework Two
 Solution of homework Three
 Solution of homework Four
 Solution of homework Five
 Solution of homework Six
Solution of homework Seven
 Solution of homework Eight
 Solution of homework Nine

 Solution of Test One
 Solution of Test Two
 Solution of Test Three
 Solution of the Final Exam.