Introduction to Analysis 1 (42001/52001)

02:15pm-3:30pm Wednesday and Friday in room 211 MSB.

Syllabus.

Also note:

Section Start Date 08/18/25 Section End Date 12/07/25 Last Day to Add 08/24/25 Last Day to Drop 08/31/25 Last Day to Withdraw 10/26/25 Census Date 09/01/25

Instructor
Book:
Office hours:
Office:
Office tel.:
E-mail:
WWW of the course :
 Artem Zvavitch
Introduction to Real Analysis, THIRD(ANY) EDITION by Robert G. Bartle and Donald R. Sherbert.
12:15-2:15 WF, but the best is to e-mail me and to make an appointment.
364
(330)-672-33-16
azvavitc@kent.edu
http://www.math.kent.edu/~zvavitch/Analysis_2025.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
Wednesday (08/20/25)
 Sets and Functions.
Friday (08/22/25)
 Sets and Functions. First Homework.
Wednesday (08/27/25)
Finite and Infinite sets/Mathematical Induction/Countable Sets.
Friday (08/29/25)
 Countable Sets/Axioms and Properties of Real Numbers/ Positive Numbers First Homework is due. Second Homework.
Wednesday (09/03/25)
 Positive Numbers/ Inequalities.
Friday (09/05/25)
Inequalities, Absolute Value. Second Homework is due.Third Homework.
Wednesday (09/10/25)
Infimum and supremum.
Friday (09/12/25)
Infimum and supremum: is there anything beyond the rational numbers? Third homework is due. Homework four.
Wednesday (09/17/25)
Lets talk about intervals!
Friday (09/19/25)
Limit of a Sequence of Real Numbers. Forth homework is due. Homework five.
Wednesday (09 /24/25)
Limit of a Sequence of Real Numbers (properties)
Friday (09/26/25)
Monotone Sequences Homework five is due. Extra HW - prepare for exam and earn 20 bonus points!
Wednesday (10/01/25)
Monotone Sequences/Subsequences.
Friday (10/03/25)
Fall Break - NO CLASS
Wednesday (10/08/25)
First Exam. Exam for fun is due.
Friday (10/10/25)
Cauchy Theorem. Homework Six.
Wednesday (10/15/25)
Cauchy Theorem. Applications and other fun.
Friday (10/17/25)
Just a bit of Series of positive numbers.
Wednesday (10/22/25)
Alternating Series.
Friday (10/24/14)
Functions and Limits Homework Six is due. Homework Seven .
Wednesday (10/29/25)
Functions and Limits
Friday (10/31/25)
Functions and different types of limits. Homework Seven is due. Homework Eight. Exam for fun 2
Wednesday (11/05/25)
Continuous Functions.
Friday (11/07/25)
SECOND EXAM!!! Exam 2 for fun is due!
Wednesday (11/12/25)
Continuous functions Homework Eight is due. Homework Nine.
Friday (11/14/25)
Continuous functions on interval
Wednesday (11/19/25)
Uniform Continuity
Friday (11/21/25)
Uniform Continuity and increasing functions. Homework Nine is due. Homeworks 10-11.
Wednesday (11/26/25)
 Thanksgiving Break- no classes
Friday (11/28/25)
Thanksgiving Break- no classes
Wednesday (12/03/25)
 Increasing functions. lets take derivative Homework 12-13
Firday (12/05/25)
Let's take derivative. THIRD EXAM - TAKE HOME Homework 12-13 is due. Huge homework (to prepare for final exam)
Review
Monday December 8
12:45 - 3 p.m. Tuesday Dec. 9
Final HW is due.

TO ARTEM ZVAVITCH'S HOMEPAGE