Math-30500: Introduction to Analysis

 
Instructor
Osman Yürekli
Weekly Schedule
My weekly schedule is available here
Office
402 B
Office Hours
Wednesday, and Friday 11:00 - 11:50
Tuesday 2:00 - 3:00
Monday 1:00 - 2:00 (Help Room)
or by appointment.
Lecture

MWF 10:00 - 10:50 W 303 and T 9:50 - 10:40 W320

Class Web Site
http://www.ithaca.edu/osman/crs/sp12/305/
Textbooks

Introduction to Real Analysis, 4th Edition by Bartle, Robert G. and Sherbert, Donald R.

Topics

Pproperties of the real number system, properties of continuous functions, and sequences of functions. Limits, derivatives and integrals will be discussed rigorously.

The course will look more deeply at the concepts you learned in your calculus classes. This class will discuss how to prove many of the facts you have used in the past and look more deeply. It will also examine the precise definitions of notions such as limits, continuity, differentiability and integrability.

Calculus was invented by Newton and Leibniz in late 1600. After the invention, the development of the theory of calculus puzzled mathematician for a long time. Finally, the theory was set straight in late 1800 and early 1900. Real Analysis is the hardest math requirement for many students. So you should be patient but must enjoy it.

Attendance
I expect everyone to come to every class. If you miss more than 5 lectures during the semester, you may fail the class. If you miss a class for a VALID reason, you are responsible for any material you have missed. You must take your midterm, and final on time.
Structure of the Class

There will be about 11 tests, counting the final.

The first 10 tests will be 1-4 questions long, taken directly from the assigned homework. They will be designed so that if you have done the homework, you will be able to finish them in 10 to 20 minutes You will have 25-30 minutes to do these tests. You will be able to do extra credit assignments to make up for low scores on any three of the first 5 tests.

I will assign some problems per class period.

The homework will not be graded.

There will be a comprehensive final, but it too will be designed so that if you have done the homework, you will be able to do well.

Classmates I encourage you to know your classmates; they are a vital resource in learning mathematics. Working in groups on homework, and mathematics in general, is a good way to learn mathematics. When working in groups, each participant needs to give a significant contribution, be that answering questions, recording ideas, or asking thoughtful questions.
Support When you run into difficulties in this class, you should first seek out my help. I will do my best to help you overcome any difficulties with the material or with anxiety you might have about the course. Please do not wait until you feel completely overwhelmed before seeking my help.
Final Final is a cumulative exam. You must take your final exam on time.
Final Exam Date: Monday, May 7 from 7:30 to 10:00 AM
Grading
Participation - Project 25 %
Tests

50 %

Final
25 %
Total
100 %
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Last revised
Sunday, January 22, 2012 3:22 PM