Introduction to Analysis 1 (42001/52001)

02:15pm-3:30pm Tuesday and Thursday in room 115 MSB.

Syllabus.

Additional Information, Please Read!

Also note:

Section Start Date 08/25/14; Section End Date 12/07/14; Last Day to Add 09/07/14; Last Day to Drop 09/07/14; Last Day to Withdraw 11/02/14;

Instructor
Book:
Office hours:
Office:
Office tel.:
E-mail:
WWW of the course :
 Artem Zvavitch
Introduction to Real Analysis, THIRD EDITION by Robert G. Bartle and Donald R. Sherbert.
12:00-2:00 TR, but the best is to e-mail me and to make an appointment.
364
(330)-672-33-16
zvavitch@math.kent.edu
http://www.math.kent.edu/~zvavitch/intro_analysis_2014.html

Please, note the calendar below is just a plan. Homework and Exams dates may be adjusted during the semester!

Date
Lecture Topic
Special Remarks
Tuesday (08/26/14)
 Sets and Functions.
Thursday (08/28/14)
 Sets and Functions. First Homework.
Tuesday (09/02/14)
Finite and Infinite sets/Mathematical Induction/Countable Sets.
Thursday (09/04/14)
 Countable Sets/Axioms and Properties of Real Numbers/ Positive Numbers First Homework is due. Second Homework.
Tuesday (09/09/14)
 Positive Numbers/ Inequalities.
Thursday (09/11/14)
Inequalities, Absolute Value. Second Homework is due.Third Homework.
Tuesday (09/16/14)
Infimum and supremum.
Thursday (09/18/14)
FOURTH HOMEWORK.
Tuesday (09/23/14)
THIRD HOMEWORK due.
Thursday (09/25/14)
First Exam. FOURTH HOMEWORK DUE.
Tuesday (09/30/14)
Limit of a Sequence of Real Numbers. FIFTH HOMEWORK.
Thursday (10/02/14)
Limit of a Sequence of Real Numbers (properties)
Tuesday (10/07/14)
Limit of a Sequence of Real Numbers (properties)
Thursday (10/09/14)
Monotone Sequences FIFTH HOMEWORK DUE.
Tuesday (10/14/14)
Subsequences and the Bolzano-Weierstrass Theorem HOMEWORK SIX.
Thursday (10/16/14)
Tuesday (10/21/14)
Thursday (10/23/14)
Homework Six is due. Homework Seven/Exam for fun.
Tuesday (10/28/14)
Second Exam Home Work Seven is Due
Thursday (10/30/14)
Introduction to Infinite Series. Homeworks Seven and Eight (40) points.
Tuesday (11/04/14)
Limits of Functions.
Thursday (11/06/14)
Limits of Functions.
Tuesday (11/11/14)
Veterans Day - NO CLASS
Thursday (11/13/14)
Continuous Functions Homework Eight is due HOMEWORK Nine.
Tuesday (11/18/14)
Combination of Continuous Functions.
Thursday (11/20/14)
Continuity and Univeform Continuity
Tuesday (11/25/14)
Uniform Continuity, Monotone functions. HOMEWORK NINE is DUE. HOMEWORK TEN. Please, also start your FINAL HOMEWORK.
Thursday (11/27/14)
 Thanksgiving recess - no classes DO YOUR HOMEWORK!!!
Tuesday (12/02/14)
Thursday (12/04/14)
THIRD EXAM!!! HOMEWORK TEN is DUE.
???
Review Session (if there is an interest)
Monday, December 12, 12:45-3:00
FINAL EXAM/HUGE FINAL HOMEWORK is DUE

TO ARTEM ZVAVITCH'S HOMEPAGE