ANALYTIC GEOMETRY AND CALCULUS I (12002)

01:10pm-2:00pm Monday, Tuesday, Wednesday, Thursday and Friday in Zoom. THIS IS A 100% REMOTE CLASS!!

Syllabus.

Additional Information, Please Read!

Also note:

Section Start Date 08/27/20; Section End Date 12/13/20; Last Day to Add 09/02/20; Last Day to Drop 09/09/20; Last Day to Withdraw 11/04/20.

Instructor
Book:
Remote "Office hours":
Cellphone:
E-mail:
WWW of the course :
Artem Zvavitch
"Essential Calculus" 2nd Edition by James Stewart.
2:05-3:30 Friday, but the best is to e-mail me and to make an appointment.
(330)-998-02-75
zvavitch@math.kent.edu
www.math.kent.edu/~zvavitch/CALC_2020.html

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

Date
Lecture Topics/ Video and PDF
Homeworks and Remarks
Thursday (08/27/20)
Introduction to the class. A few notes about functions. Video, Slides.
Friday (08/28/20)
Functions, Domain, Even/Odd. Video, Slides. First Homework.
Monday (08/31/20)
More about Functions: Even/Odd, Inderasing/Decreasing. Absolute Value. Video, Slides.
Tuesday (09/01/20)
Some standard and not so standard Functions. Video, Slides.
Wednesday (09/02/20)
Let's rescale some functions! Compposition of two functions. Video, Slides.
Thursday (09/03/20)
Composition of two functions. Let's talk about Limits. Video, Slides.
Friday (09/04/20)
Limits are here! Video, Slides. First Homework is due. Second Homework.
Monday (09/07/20)
Labor Day
Tuesday (09/08/20)
Limits (left and right, exist and not, Properties) Video, Slides.
Wednesday (09/09/20)
Limits Video, Slides.
Thursday (09/10/20)
Limits. $\frac{\sin x}{x}$, precise definition. Video, Slides.
Friday (09/11/20)
Limits - precise $\varepsilon, \delta$ -definition. Continuity. Video, Slides. Second Homework is due. Third Homework.
Monday (09/14/20)
Continuous Functions Video, Slides.
Tuesday (09/15/20)
Continuous Functions Video, Slides.
Wednesday (09/16/20)
Continuous Functions and Limits Video, Slides.
Thursday (09/17/20)
Continuous Functions and Limits Video, Slides.
Friday (09/18/20)
Continuous Functions and Intermediate Value Theorem Video, Slides. Third Homework is due. Fourth Homework.
Monday (09/21/20)
Limits at infinity! Video, Slides.
Tuesday (09/22/20)
Limits and infinity! Video, Slides.
Wednesday (09/23/20)
Limits and infinity, Vertical and horizontal asimptote. Video, Slides.
Thursday (09/24/20)
REVIEW FOR First Exam Video, Slides. Hint on 2.6 from HW4.
Friday (09/25/20)
First Exam Fourth Homework due ON SUNDAY 09/27. Fifth Homework.
Monday (09/28/20)
Let's Review things again.... Video, Slides. BONUS: REDO First Exam. DUE SUNDAY OCTOBER 4.
Tuesday (09/29/20)
Welcome to derivative Video, Slides.
Wednesday (09/30/20)
Derivative and Tangent Line Video, Slides.
Thursday (10/01/20)
More on Derivative and a bit more on Tangent Lines. Video, Slides.
Friday (10/02/20)
Properties of the Derivative and a bit more on Tangent Lines. Video, Slides. Fifth Homework is due. Sixth Homework.
Monday (10/05/20)
Derivative of the sin x and cos x functions. Product formula. Video, Slides.
Tuesday (10/06/20)
Derivative: Product formula, Quotien formula, Examples! Video, Slides.
Wednesday (10/07/20)
More on derivative Quatient formula and Chain Rule. Video, Slides.
Thursday (10/08/20)
More on derivative Chain Rule and implicit differentiation. Video, Slides.
Friday (10/09/20)
Implicit differentiation. Video, Slides. Sixth Homework is due. Seventh Homework.
Monday (10/12/20)
Implicit differentiation. Video, Slides.
Tuesday (10/13/20)
Max/Min Video, Slides.
Wednesday (10/14/20)
Max/Min and how to find them. Video, Slides.
Thursday (10/15/20)
Absolute Max/Min and how to find them. Video, Slides.
Friday (10/16/20)
Absolute Max/Min and how to find them. Rolle's theorem. Mean Value Theorem Video, Slides. Seventh Homework is due. Eighth Homework.
Monday (10/19/20)
Rolle's theorem. Mean Value Theorem. Decreasing/Increasing intervals for Functions. Video, Slides.
Tuesday (10/20/20)
Decreasing/Increasing intervals for Functions. Video, Slides.
Wednesday (10/21/20)
Concave / Convex Functions. Video, Slides.
Thursday (10/22/20)
Video (sorry only a small part), Slides.
Friday (10/23/20)
Let's plot some graphs. Video, Slides. Eighth Homework is due. Ninth Homework.
Monday (10/26/20)
Let's plot some graphs. Slides.
Tuesday (10/27/20)
Optimization. Video, Slides.
Wednesday (10/28/20)
Video, Slides.
Thursday (10/29/20)
REVIEW FOR First Exam Video, Slides. Exams for fun do it before exam to get 20 extra points!!
Friday (10/30/20)
Second Exam Ninth Homework is due. Tenth Homework.
Monday (11/02/20)
Antiderivative. Video, Slides.
Tuesday (11/03/20)
Antiderivative - lets compute it! Video, Slides.
Wednesday (11/04/20)
Area Video, Slides.
Thursday (11/05/20)
Welcome to Integrals! Video, Slides.
Friday (11/06/20)
Integrals: let's evaluate them! Video, Slides. Tenth Homework is due. Eleventh Homework.
Monday (11/09/20)
Integrals: let's evaluate them! Video, Slides.
Tuesday (11/10/20)
Integrals: let's evaluate them! Video, Slides.
Wednesday (11/11/20)
Veterans Day
Thursday (11/12/20)
Integrals: Substitution trick! Video, Slides.
Friday (11/13/20)
More on integration - "u" substitution. Video, Slides. Eleventh Homework is due. Twelfth Homework.
Monday (11/16/20)
"u" substitution. Inverse Function. Video, Slides.
Tuesday (11/17/20)
Inverse functions and $\ln x$. Video, Slides.
Wednesday (11/18/20)
Let talk about $\ln x$. Video, Slides.
Thursday (11/19/20)
Let talk about $\ln x$ and $e^x$. Video, Slides
Friday (11/20/20)
$\ln x$, $e^x$, $\log_a x$ and $a^x$. Video, Slides Twelfth Homework is due. Therteenth Homework.
Monday (11/23/20)
Thanksgiving break
Tuesday (11/24/20)
Thanksgiving break
Wednesday (11/25/20)
Thanksgiving break
Thursday (11/26/20)
Thanksgiving break
Friday (11/27/20)
Thanksgiving break
Monday (11/30/20)
More about $\ln x$, $e^x$, $\log_a x$ and $a^x$. Video, Slides
Tuesday (12/01/20)
Let's talk about $\sinh x$, $\cosh x$. l'Hospital's rule. Video, Slides
Wednesday (12/02/20)
Much more about l'Hospital's rule. Video, Slides
Thursday (12/03/20)
Even more about l'Hospital's rule. Video, Slides
Friday (12/04/20)
Integration by parts. Video, Slides Therteenth Homework is due. Fourteenth Homework.
Monday (12/07/20)
Integration by parts and Trig Video, Slides PREPARATION FOR THIRD AND FINAL EXAMS (20 extra points)
Tuesday (12/08/20)
Tirg and Integration / Lets Get Ready for exam 3 Video 1, Video 2, Slides
Wednesday (12/09/20)
REVIEW FOR EXAM 3 Video Slides
Thursday (12/10/20)
EXAM 3
Friday (12/11/20)
Review For final exam. Video Slides Forteenth Homework is due.
10:15 - 12:30 p.m., Monday, December 14
FINAL EXAM (EXACTLY AT ABOVE TIME! + 15 min to upload the exam) BONUST HW IS DUE STRICTLY BEFORE EXAM

TO ARTEM ZVAVITCH'S HOMEPAGE