Analysis II (42002/52002)

2:15pm-3:30pm Monday and Wednesday in room 106 Mathematical Sciences Building.

Syllabus.

Also note:

Section Start Date 01/17/23; Section End Date 05/02/23; Last Day to Add 01/23/23; Last Day to Drop 01/30/23; Last Day to Withdraw 04/03/23.

Instructor
Book:
Remote "Office hours":
Office Phone:
E-mail:
WWW of the course :
Artem Zvavitch
“Introduction to Real Analysis,” by Robert G. Bartle and Donald R. Sherbert..
10:45-12:00 Monday/Wednesday, but the best is to e-mail me and to make an appointment.
(330)-672-33-16
azvavitc@kent.edu
www.math.kent.edu/~zvavitch/RA_2023.html

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

Date
Lecture Topics
Homeworks and Remarks
Wednesday (01/18/23)
Let's review the Derivative! First Home Work
Monday (01/23/23)
Let's continue to review the derivative.
Wednesday (01/25/23)
Rolle's Theorem/Mean Value Theorem/Applications First Home Work is Due. Second Home Work
Monday (01/30/23)
L'Hospial Theorem and more
Wednesday (02/01/23)
Taylor's Theorem. Inequalities. Second Home Work is Due. Thirds Home Work
Monday (02/06/23)
Convex Functions/Riemann Integral
Wednesday (02/08/23)
Riemann Integral Third Home Work is Due. Forth Home Work. and here some Bonus problems to prepare for Exam 1.
Monday (02/13/23)
Properties of the Riemann Integral
Wednesday (02/15/23)
Exam 1 Forth Home Work is Due. Fifth Homework
Monday (02/20/23)
Riemann Integral
Wednesday (02/22/23)
Riemann Integral Fifth Home Work is Due. Sixth and Seventh Home WorkS
Monday (02/27/23)
Riemann Integral! Who is integrable?
Wednesday (03/01/23)
Fundamental Theorem of Calculus form I and II
Monday (03/06/23)
More on Riemann Integral
Wednesday (03/08/23)
Lebesque Theorem. Integration by parts. Home Work Sixt and Seven are Due. Home Work Eight
Monday (03/13/23)
Convergence of sequences of Functions.
Wednesday (03/15/23)
Convergence of sequences of Functions. What can be preserved? Home Work Eigh is Due. Home Work Nine - contains a lot of bonus points and will help to prepare you for the exam!
Monday (03/20/23)
Wednesday (03/22/23)
Exam 2 Home Work Nine is Due.
Monday (03/27/23)
Spring Break
Wednesday (03/29/23)
Spring Break
Monday (04/03/23)
Lets review the exam. Exponential and Logarithmic functions.
Wednesday (04/05/23)
Exponential and Logarithmic functions. Home Work 10.
Monday (04/10/23)
Trigonometric Functions.
Wednesday (04/12/23)
Infinite Seriese. Absolute convergence. Home Work 10 is Due. Home Work 11
Monday (04/17/23)
Infinite Seriese. Absolute convergence.
Wednesday (04/18/23)
Infinite Seriese. Absolute convergence. Home Work 11 is Due. Home Work 12
Monday (04/24/23)
Series of functions
Wednesday (04/26/23)
Power Series Home Work 12 is Due. Home Work 13 (Big, Final Exam Review)
Monday (05/01/23)
A bit more on integration.
12:45 - 3:00 p.m., May 9
FINAL EXAM Home Work 13 (Big, Final Exam Review) IS DUE

TO ARTEM ZVAVITCH'S HOMEPAGE