Math 220: Analysis
Section 201, Winter 2001 |
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Where: MATH 203
When: MWF 10:00-11:00 am Textbook: Stephen R. Lay, Analysis with an Introduction to Proof, 3rd edition |
Instructor: Prof. G. Martin
Office: MATH 212 Office hours: Mon 1:30-3:00 pm, Thu 10:00-11:30 am Email address: gerg@math.ubc.ca Phone number: 822-4371 |
The purpose of this course is twofold: to expose students to techniques of rigorous proof, and to examine properties of the real numbers and functions thereon in more detail than in first-year calculus. We will begin by investigating the real numbers themselves, at the same time learning what constitutes a formal and correct proof. (In the pursuit of developing our proof-writing skills, we will not be afraid to venture to fields other than analysis to illustrate the proof technique under consideration.) We will then proceed to studying sequences and series of real numbers. We then move to functions defined on the real numbers, examining their limits and properties, starting with continuity. Logically, differentiation would be the next natural topic to include, though it might have to be omitted for reasons of time.
Every enrolled student will be given an account on the Mathematics department undergraduate computer lab located in the MSRC building. The computer lab is open 24 hours a day. As part of your account, you will have a quota of 100 pages of free printouts. You may also access the course web page on any public terminal at UBC, or via your own internet connection.
All documents will be posted in PDF format and can be read with the free Acrobat reader. This software is already installed on the computers in the Math lab. You may also download the free Acrobat reader at no cost.
Section 202 of Math 220 also has a course web page.
Homework will be assigned on Fridays and due the following Friday at the beginning of class. Late homework will not be accepted. We will also have a short quiz in class every Friday. To account for forgetfulness or unforseen circumstances, each student's lowest homework score and lowest quiz score will be dropped. Missed homework or quizzes will not be excused beyond this point, except for documented medical reasons.
Students are allowed to consult one another concerning the homework
problems, but your submitted solutions must be written by you in your own
words. If two students submit virtually identical answers to a question,
both can be found guilty of plagiarism.