Introduction to Analysis 2 (42002/52002)

02:15pm-3:30pm Tuesday and Thursday in room 228 MSB.

Syllabus.

Additional Information, Please Read!

Also note:

Section Start Date 01/12/15; Section End Date 01/18/15; Last Day to Add 01/18/15; Last Day to Drop 01/18/15; Last Day to Withdraw 03/22/15;

Instructor
Book:
Office hours:
Office:
Office tel.:
E-mail:
WWW of the course:
Artem Zvavitch
Introduction to Real Analysis, by Robert G. Bartle and Donald R. Sherbert.
11:00-1:00 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_2015.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 (01/13/15)
The Derivative, definition and first properties.
Thursday (01/15/15)
Chain Rule. Inverse function and it's derivative. First Homework.
Tuesday (01/20/15)
Rolle's Theorem and Meand Value Theorem.
Thursday (01/22/15)
Darboux's Theorem. First Homework is due. Second Homework.
Tuesday (01/27/15)
L' Hospital's Rules
Thursday (01/29/15)
L' Hospitals Rules and the first look at Taylor's Theorem. Second Homework is due.Third Homework.
Tuesday (02/03/15)
Taylor's Theorem. Convex Functions
Thursday (02/05/15)
Convex Functions Forth Homework. Third Homework is Due.
Tuesday (02/10/15)
The Riemann Integral
Thursday (02/12/15)
First Exam. FOURTH HOMEWORK DUE.
Tuesday (02/17/15)
Fifth Homework
Thursday (02/19/15)
Tuesday (02/24/15)
Fifth Homework is due.
Thursday (02/26/15)
Riemann Integral: Fundamental Theorem Homework Six.
Tuesday (03/03/15)
Riemann Integral
Thursday (03/05/15)
Seventh Homework. Homework Six is due.
Tuesday (03/10/15)
Riemann Integral. First look at sequences of functions.
Thursday (03/12/15)
Uniform convergence Eights Homework. Home Work Seven is Due
Tuesday (03/17/15)
Uniform Convergence.
Thursday (03/19/15)
Exponential and Logarithmic functions. Ninth Homework. Home Work Eight is Due
Tuesday (03/24/15)
SPRING BRAKE
Thursday (03/26/15)
SPRING BRAKE
Tuesday (03/31/15)
Second Exam
Thursday (04/02/15)
Trigonometric Functions
Tuesday (04/07/15)
Thursday (04/09/15)
Tuesday (04/14/15)
Thursday (04/16/15)
Tenth Homework. Home Work nine is Due.
Tuesday (04/21/15)
Thursday (04/23/15)
Huge HW. Home Work ten is Due.
Tuesday (04/28/15)
Thursday (04/30/15)
EXAM 3 YOU MUST GIVE EXAM BACK TO ARTEM BEFORE 3:31pm.
???
Review Session (if there is an interest)
WEDNESDAY, MAY 6, 12:45 - 3:00 p.m.
FINAL EXAM/HUGE FINAL HOMEWORK is DUE

TO ARTEM ZVAVITCH'S HOMEPAGE