Math 307 - A Condensed Introduction to Analysis

Instructor: Dr. Kathryn Truman
Office: Math Building 1113
Email: rendke (at math dot umd dot edu)

Course Info:	Winter 2013
	M-F, 10:00-12:00
	Room 1313 (Math Bldg)

Office Hours: 9:30-10:00, 12:00-12:30 M-F.

Text:Mathematical Proofs by Chartrand, Polimeni and Zhang, 2^nd edition
, Advanced Calculus by Fitzpatrick, 2^nd edition, Thomson Brooks/Cole (this is the text for MATH410)
Prerequisite: MATH241, MATH240

Course Description: MATH307 is designed to be a lead in course to MATH410 (Advanced Calculus). It is approximately 2/3 of MATH310. The goal is to introduce you to introductory theory material and review some calculus with proof, so that you will be able to succeed in MATH410. You will learn different methods of proof and how to apply each technique to different situations. This course should not only prepare you for MATH410, but also prepare you to study theoretical mathematics in any area. Approximately half of the course will be spent reviewing some introductory calculus material with proof, in particular, sequences and continuity will be studied.

You will be expected to read, understand and do proofs in this course. If you are not yet comfortable with proofs you will be by the end of the term. To really learn mathematics you need to do mathematics, so you will be expected to work on problem sets. You should also read the material from the text before each class. For a description of the material to be covered see the math departments course syllabus here. The syllabus I handed out in class (in PDF format) is here.

Grading:

Two take home Exams (30, 90 pts)	120 pts
Daily Homework (30 pts each)	300 pts
Daily Quizzes (15 pts each)	150 pts
Final (Partially Cumulative)	150 pts
Total	720 pts

Exam Dates: January 4^th due January 7^th; January 11^th due January 14^th
Final Date: January 22^rd

Exam/Quiz Makeup Policy: Exam/Quiz makeups will only be given for University Excused Absences. Any student with a valid reason to be excused from an exam must contact me prior to the exam, either by email or by phone (leave a message at 301.405.5047), and present documentation at the next class session attended. If you need to be excused for a religious observance, you should let me know as soon as possible, but in any case no later than the end of the schedule adjustment period.

You can find old exams for MATH310 at testbank.

Honor Code: You should be familiar with the University's policies on Academic Integrity, including the Honor Pledge. In this course: you are cheating on homework if you copy someone else's work. It is fine to have someone explain a problem to you, or show you her work - you just have to write a solution from your own understanding, without simply copying. Copying does not benefit you, as you are unlikely to be able to reproduce the answer on a quiz or exam. Homework is a very important part of this course, but your overall understanding is more important. For the take home exams, you are on your honor not to use outside help or materials - i.e., just you, your brain, pencil and paper, and to complete the exam in one hour. Your goal is to test yourself to determine whether you know the material well enough to take an exam on it. Taking more time or getting help from others will only hurt you in the long run, since you will not know whether you can do the material yourself.

Homework Assignments:

I encourage you to work in groups on the homework assignments. Homework will be assigned and due daily. I expect to assign somewhere between 10 and 16 problems each day. I will not specify in advance which problems will be graded, though all problems will be collected. Because there are two or three graders for each assignment each problem set (labeled 1, 2 or 3) must be done on a separate set of pages and you must include your name on each page. If you do not do this it will take longer for your homework to be graded and returned to you. Late homework will not be accepted. This course is very short, so don't get behind. Quiz and exam problems will be similar to assigned homework problems. It is necessary to keep up with class work and attend class every day. Extra help is available during my office hours, the grader's office hours and by appointment. All assignments are tentative until given in class - you are responsible for checking the web page or asking me for updates if you miss class.

I reserve the right to make changes to this syllabus as I deem necessary. All changes will be announced in class and posted to the webpage. It is your responsibility to contact em or check the webpage for updates if you miss class. I will also use the email list to contact you with information. Please remember to check the email you have registered with the University daily.