Analytic Geometry and Calculus I

MTH 31
D01 Section 51502

Monday,Wednesday, Thursday 10:00 am-11:50 am, room CP 308
 

 
Week 10

our tutor, Mamadou Seck, will be available at Blackboard Collaborate on Thursdays, 5 pm - 9pm
https://us.bbcollab.com/guest/8b16b63c84024cda8bcf4ed46b003bd3
If you want to dial in: +1-571-392-7650 PIN: 5410048113

My office hours: Mondays, 2 pm - 3 pm and Tuesdays, 1pm - 2pm at https://us04web.zoom.us/j/425282898?pwd=NDNWOFJuaXp6cmdvOU4rNzZ1eHRoQT09

 
04/01 We will cover Section 3.8 Newton's Method

Lecture slides: will be posted shortly

Recording of the meeing link: will be posted after the meeting

To joing the meeting: https://us04web.zoom.us/j/520159541?pwd=OWJNR0tJRWpZRloxTWlmcVZsYUc0dz09

Quiz 11-Section3.8
(due date: Friday, 04/24, 11:59pm)

see at WeBWorK
04/01 We will cover Section 3.7 Optimization Problems

Lecture slides: MTH31Section3-6.pdf

Recording of the meeing link: will be posted after the meeting

To joing the meeting: https://us04web.zoom.us/j/520159541?pwd=OWJNR0tJRWpZRloxTWlmcVZsYUc0dz09

Quiz 10-Section3.7
(due date: Wednesday, 04/22, 11:59pm)

see at WeBWorK
03/30 We will cover Section 3.5 Summary of Curve Sketching

Lecture slides: MTH31Section3-5.pdf

If you were not able to attend a meeting, no worries. The recording is posted. The due dates for the homeworks are generous. We didn't cover the last example (with the trigonometric functions) from the slides. I'm going to record it separately and will post here as well.

Recording of the meeting: https://youtu.be/aeHAdMFAVF4


Quiz 9-Section3.5
(due date: Monday, 04/20, 11:59pm)

see at WeBWorK
Week 9

03/26 We covered Section 3.4 Limits at Infinity. Horizontal Asymptotes.

Lecture slides for Section 3.4

Recording of the meeing link: https://us-lti.bbcollab.com/recording/48f72339fd144ac6ba13f4e039e45391

Recording of the last example's overview from Section 3.3 (previous online meeting): https://us-lti.bbcollab.com/recording/d475ed9364664e5e85c78973731394c1

We will continue the online meetings uninterrupted, although CUNY announced the re-callibration period from March 27th till April 1st. If you are not able to attend the meeting, the recording will be available. No worries! All the due dates for the quizzes-homewords have been extended!

Quiz 8-Section3.4
(due date: Wednesday, 04/15, 11:59pm)

see at WeBWorK
03/25 We covered Section 3.3 How Derivatives Affect the Shape of the Graph

Lecture slides for Section 3.3
(updated on March 25th at 6:05 pm)

Recording of the meeting: https://us-lti.bbcollab.com/recording/faa66f14f78140bd987574b7c24c73e0

Class Announcement:
From now on, the in-class quizzes and homework assignments will be replaced with online quizzes-homeworks at WeBWorK.
Each quiz-homework has a due date and must be submitted on time.
There are no late submissions possible.
Almost each problem has unlimited number of attempts, so you can keep re-submitting the answers until you get it right.
Here is a video tutorial on how to use the WeBWorK (~6 mins video)
You will be getting instructions on how to login into the WeBWorK via e-mail.
Quiz 5-Section3.1
(due date: Monday, 03/30, 11:59pm)

see at WeBWorK - the due date is extended to April 6th

Quiz 6-Section3.2
(due date: Monday, 03/30, 11:59pm)

see at WeBWorK - the due date is extended to April 6th

Quiz 7-Section3.3
(due date: Wednesday, 04/01, 11:59pm)

see at WeBWorK - the due date is extended to April 8th
03/23 Midterm Exam

Midterm Exam Questions:
    If your school id (EMPLID) ends with an odd number (1, 3, 5, 7, 9) or 0,
this is your midterm exam: MTH31-MidtermExam_v1.pdf

    If your school id (EMPLID) ends with an even number (2, 4, 6, 8),
this is your midterm exam: MTH31-MidtermExam_v2.pdf

SHOW ALL YOUR WORK to get full credit.

Blackboard Collaborate link (if you have any questions, I'm available online!)

Start time: 10 am
End Time: 12:30 pm
Send all your work (take pictures or scan your work) to my e-mail address: natna20@gmail.com
Warning: you must send everything to my e-mail address by 12:30 pm sharp!

Warning: you must be well prepared.
You will not have time to looks through the notes / homeworks to see how to solve a problem. You only have time to quickly check a step or two, what theorem you applied in a similar problem, what's a definition of the limit, etc.
Week 8 - instructional recess for distance-learning preparation
March 12 - March 18th


03/19 Video session: Midterm Exam Sample

Blackboard Collaborate link: https://us.bbcollab.com/guest/42dd0998657640fa845ca8a5b08ce2a0
(use it to join the video session)

instructions:
1) join the session 5-10 minutes in advance, look around for the tools that are available to you!
2) when you join the session, both microphone(share audio) and camera(share video) are turned off. So if you want to ask the question, make sure you turn the audio on.
3) you can also join these video meetings when you log-in into our Blackboard page.

Slides from the meeting: MTH31SampleMidtermExam.pdf
Video recordings from our meeting:
Comments about the Midterm Exam
Question 1
Question 2
Question 3
Question 4
Question 5 (I forgot to record this one)
Question 6
Question 7
Question 8
Question 9
Question 10 (This is a new video, discussing the problem in more details)
Question 11 (we didn't have time to work on this problem, the video solutions will be posted shortly)
Question 12 (we didn't have time to work on this problem, so here is a video solution)
03/13 Dear All,
The classes will resume on Thursday, March 19th in a distance-learning form.

Please fill out this Google Form by tomorrow evening, March 14th!

During this recess, please prepare for the Midterm Exam! The new date is Monday, March 23rd, the format will be posted.

Here are all the materials needed:

1) Sample Midterm Exam will be posted here and on the Midterm Exam and Final Exams page by tomorrow morning!

2) Miderm Exam Review problems are listed on the Midterm Exam and Final Exams page along with some solutions and answers

Planned meetings for the next two weeks:
Thursday, March 19th, 10 am - 12 pm.
    Online meeting. I will invite you to Blackboard Collaborate. You don't need to log-in to Blackboard. I will just post a link here. Follow it.
    If you have any questions about the review problems, this is the moment to ask them!
Monday, March 23rd, TIME TBA
    Midterm Exam, the format will be posted (I'm working on it)

All your grades are and will be available at Google Sheets
Week 7

Midterm Exam will cover Chapters 1 and 2.
The details can be found on Midterm and Final Exams page
03/12 Sample Midterm Exam

The class is cancelled. BCC will have a five-day instructional recess March 12-18.
The online classes resume on Thursday, March 19th.

Meanwhile,
1) check that you are receiving messages from me! (I send them through CUNY First),
2) Here, at Google Sheets I will be putting all the grades.
Use the last 4 digits of your school ID (EmployID) to see your scores
3) I'm planning to have live stream lectures at the time of our scheduled classes. More info will be posted.
4) I'm still deciding what to do with the quizzes and midterm exam.
 
03/11 We covered Section 3.2 The Mean Value Theorem

Lecture slides for Section 3.2
HW 16
(due date: Wednesday, 03/18)


page 220/ 5 (#2 in solutions is similar to it), 14 (#12 in solutions), 16 (#14 in sols), 19, 22 (#20 in sols).
03/09 We covered Section 3.1 Maximum and Minimum Values

Lecture slides for Section 3.1
HW 15
(due date: Wednesday, 03/18)


page 211 / 6, 12, 34, 41, 46, 52

Answers and solutions to even numbered problems: Section 3.1
Week 6

Midterm Exam will cover Chapters 1 and 2.
The details can be found on Midterm and Final Exams page
03/05 Review of Chapters 1 and 2

Some slides for Review,
Few problems for Review
 
03/04 We covered Section 2.9 Linear Approximations and Differentials

Lecture slides for Section 2.9
HW 14
(due date: Wednesday, 03/11)


page 192/ 6, 10, 18, 22, 27 (solutions have #24 - a similar problem)

Answers and solutions to even numbered problems: Section 2.9
03/02 We covered Section 2.8 Related Rates

Lecture slides for Section 2.8
HW 13
(due date: Monday, 03/09)


page 185 / 4, 14 (#12 in solutions), 22 (#20 in solutions)

Answers and solutions to even numbered problems: Section 2.8
Week 5

Midterm Exam will cover Chapters 1 and 2.
The details can be found on Midterm and Final Exams page
02/27 We covered Section 2.7 Rates of Change in the Natural and Social Sciences

Quiz 4 based on Sections 2.2 and 2.3 material (see HW 7, 8)

Lecture slides for Section 2.7

Plan for the next few weeks:

M, 03/02: Section 2.8
W, 03/04: Section 2.9
Th, 03/05: Review

M, 03/09: Chapter 3 topics
W, 03/11: Chapter 3 topics
Th, 03/12: Sample Midterm Exam

M, 03/16: Midterm Exam
HW 12
(due date: Thursday, 03/05)


page 178/ 2, 8, 29

Answers and solutions to even numbered problems: Section 2.7
02/26 We will cover Section 2.6 Implicit Differentiation

Lecture slides for Section 2.6
HW 11
(due date: Wednesday, 03/04)


page 166/ 2, 7, 14, 26, 31

Answers and solutions to even numbered problems: Section 2.6, Section 2.6-part2
02/24 We will do a couple of examples for Section 2.4 Derivatives of Trigonometric Functions
and will cover Section 2.5 Chain Rule

Lecture slides for Section 2.5
HW 10
(due date: Monday, 03/02)


page 158 / 2, 11, 18, 26 (#36 in solutions), 35, 44, 50, 53,

Answers and solutions to even numbered problems: Section 2.5, Section 2.5 - part 2
Week 4
02/20 We will finish covering Section 2.3 and
will started to cover Section 2.4 Derivatives of Trigonometric Functions

Quiz 3 based on Sections 1.8 and 2.1 material (see HW 4, 5, 6)

Lecture slides for Section 2.4
HW 9
(due date: Monday, 03/02)


page 150/ 6, 13, 22, 28, 32, 44

Answers and solutions to even numbered problems: Section 2.4
02/19 We finished covering Section 2.2 and
will begin covering Section 2.3 Differentiation Formulas

Lecture slides for Section 2.2, Section 2.3
HW 8
(due date: Wednesday, 02/26)


page 125/ 52 (#46 in solutions)
page 140 / 2, 5, 18, 21, 35, 38 (#40 in solutions), 51, 57, 62, 64, 69, 77, 81

Answers and solutions to even numbered problems: Section 2.3
02/17 President's Day. College is closed.  
Week 3

Note that on Wednesday, February 12th the college is closed - Lincoln's birthday
on Monday, February 17th the college is closed - President's day
 
02/13 We finished last four examples from Section 2.1 and
started to cover Section 2.2 The Derivative as a Function

Quiz 2 based on Sections 1.5 and 1.6 material (see HW 2, 3)


There is a nice video tha will help you to understand better how to do #2 from HW assignment: How to find a derivative from the graph
HW 7
(due date: Thursday, 02/20)


page 125 / 2, 21, 27, 28, 52 (#46 in solutions),

Answers and solutions to even numbered problems: Section 2.2
02/12 Lincoln's birthday  
02/10 We started to cover Section 2.1 Derivatives

Lecture slides
HW 6
(due date: Monday, 02/17)


page 113 / 4, 8, 10, 14, 22 (#20 in my solutions), 24 (#22 in my solutions), 32 (#28 in my solutions), 36 (#32 in my solutions), 37 (#34 in my solutions is a similar problem), 43 (#40 in my solutions is a similar problem)

Answers and solutions to even numbered problems: Section 2.1
Week 2
02/06 We finished covering Section 1.8 Continuity

Quiz 1 based on Section 1.4 material (see HW 1)

Lecture slides
HW 5
(due date: Thursday, February 13th)


page 91 / 36, 56 (used to be 53)

Answers and solutions to even numbered problems: Section 1.8
02/05 We started covering Section 1.8 Continuity

Lecture slides
HW 4
(due date: Thursday, February 14th)


page 91 / 3 (used to be 4), 10 (a, d, e), 14 (used to be 14), 15, 18, 24, 40, 42, 45, 47

Answers and solutions to even numbered problems: Section 1.8
02/03 Section 1.6 Calculating Limits Using Limit Laws

Handout: MTH31Section1_6Handout.pdf
HW 3
(due date: Monday, February 10th)


page 70 / 2, 8, 9, 12, 14, 17, 18, 22, 23, 25, 30, 36, 37, 43, 44, 45, 50 (used to be 48), 51

Answers and solutions to even numbered problems: Section 1.6
Week 1
01/30 Section 1.5 The Limit of a Function

Lecture slides
HW 2
(due date: Thursday, February 6th)


page 59 / 1, 4, 8, 12, 14, 18, 22, 23, 33, 34, 38, 40(a)

Solutions
01/29 We will cover Section 1.4 The Tangent and Velocity Problems

Lecture slides
HW 1
(due date: Wednesday, Feb. 5th)


page 49 / 2, 4, 6

Solutions: part1 , part2
01/27 Welcome to the MTH 31 course!

During this week:
1) make yourself familiar with this web site!

In case if you miss a class, this is the place to visit and see what we covered, what is the homework assignment. In addition, any announcements I made in class will be also posted here.

2) Get the book!
The first three chapters are available online through library e-reserves: http://bcc-cuny.libguides.com/er.php?course_id=50861#
Note that there will be no excuses made due to you not having a book, since the first three chapters are immediately available to you at our library!

3) Work on the four diagnostic tests! You can work on them in a group. There in no need to submit your work. The answers are available and the solutions will be posted here shortly!

4) Today we covered:
Sections 1.1 - 1.3 to brush up on our previously acqured knowledge.
Lecture slides: MTH31Sections1_1-1_3.pdf

5) Scientific calculator is recommended for this class (see IT 84 Plus or CE)

Useful links:
0) Desmos graphing calculator: there is a phone app as well as browser link: https://www.desmos.com/calculator

1) End behavior of polynomial functions: http://www.mathguide.com/lessons2/EndBehavior.html

2) Sine and cosine graphs:
https://courses.lumenlearning.com/precalctwo/chapter/graphs-of-the-sine-and-cosine-function/

3) Functions' transformations:
https://mathbitsnotebook.com/Algebra2/FunctionGraphs/FGCompositeTransformations.html
HW 0
(due date: Monday, Feb. 3rd)


1) 4 diagnostics tests on pages xxvi - xxx
Here are the pages of the diagnostic tests: page xxvi, page xxvii, page xxviii, page xxix, page xxx

Diagnostic tests will not be graded, but it is HIGHLY RECOMMENDED to go over them within the first TWO WEEKS of the semester.

Here are the solutions of the problems from the tests (so that if you cannot get the right answer, you can consult with them):
Diagnostic test A: DiagnosticTestAsols.pdf
Diagnostic test B: DiagnosticTestBsols.pdf
Diagnostic test C: DiagnosticTestCsols.pdf
Diagnostic test D: will be posted shortly