Calendar

Here you will find daily information about distance learning

Class meets usual time 12:00-1:40pm via Webex:

https://connectcuny.webex.com/meet/laura.ghezzi58

Office hours are also held at the usual time Mondays and Wednesdays 11:00am-12:00pm via Webex, email, or OpenLab

MAT 1475 Video Resources

 

Monday, April 6

Topic: Related Rates

Pre-recorded video by prof. Ghezzi

https://www.youtube.com/watch?v=zukiZmsGrB0

Notes from Webex class

Whiteboard notes on related rates

 

Tuesday, April 7

Topic: Differentials

Pre-recorded video by prof. Ghezzi

https://youtu.be/C6ppF9YWFog

Notes from Webex class

Whiteboard notes on differentials

Desmos example with differentials

 

Monday, April 13

Topics: Maxima and Minima; The Mean Value Theorem

Pre-recorded video by prof. Ghezzi on Maxima and Minima

https://youtu.be/BqBRKJKbFT8

Videos on the Mean Value Theorem from Khan Academy

Statement and geometric meaning

Polynomial example

Notes from Webex class:

Whiteboard notes on maxima and minima, mean value theorem

 

Wednesday, April 15

Topic: Derivatives and the Shape of a Graph

Videos from Khan Academy

The first derivative test

Finding relative extrema

Concavity introduction

Inflection points

Analyzing concavity

Inflection points (example)

Notes from Webex class

Whiteboard notes on derivatives and the shape of a graph

 

Monday, April 20

Topics: Graphing polynomials (review), L’Hôpital’s rule

Videos from Khan Academy

L’Hôpital’s Rule

Limit at 0

Limit at infinity

Notes from Webex class

Whiteboard notes on graphing polynomials and L’Hopital’s rule

 

Wednesday, April 22

Topics: L’Hôpital’s rule (continued); Asymptotes

Videos from Khan Academy

Infinite limits and asymptotes

Limits at infinity of rational functions

Notes from Webex class

Whiteboard notes on H rule and asymptotes

 

Monday, April 27

Topics: Drawing the graph of a function; Applied optimization

Videos

1. 1. 1. Part I : Find the domain, intercepts, symmetry relations, asymptotes, intervals of increase/decrease, and local extrema (rational function)
      2.  Part II : Find the intervals of concavity and sketch the graph of the function

Notes from Webex class

Whiteboard notes on graphing functions

Whiteboard notes on optimization

 

Wednesday, April 29

Topic: Applied optimization

Videos from Khan Academy

1. Minimizing sum of squares (7:34) What is the smallest possible sum of squares of two numbers, if their product is ?
2. Box volume I (9:49) If you are making a box out of a flat piece of cardboard, how do you maximize the volume of that box?
3. Box volume II (8:59) Continuation of the previous problem.
4. Profit (11:26) Maximizing profits.
5. Cost of materials (12:39) Find the cost of the material for the cheapest rectangular storage container.

Notes from Webex class:

Whiteboard notes on optimization (continued)

 

Monday, May 4

Review session during office hours 11am-12pm (Webex meeting room)

Notes from review session

Whiteboard notes-Exam3 review

Exam 3: please read instructions carefully

https://openlab.citytech.cuny.edu/groups/mat-1475-calculus-1-spring-20-ghezzi/forum/topic/important-exam-3-information/

Practice Exam 3. Prof. version Solutions

 

Wednesday, May 6

Topic: Antiderivatives

Videos

https://openlab.citytech.cuny.edu/groups-mat-1475-student-video-resources-/antiderivatives/

Notes from Webex class

Whiteboard notes on antiderivatives

 

Monday, May 11

Topics: Definite integrals and the Fundamental Theorem of Calculus

Videos

https://openlab.citytech.cuny.edu/groups-mat-1475-student-video-resources-/thefundamentaltheoremofcalculus/

Whiteboard notes on definite integrals and fundamental theorem of Calculus

 

Wednesday, May 13

Topics: Definite integrals (continued), Review

Whiteboard notes on definite integrals, continued

Whiteboard notes–Review

 

Monday, May 18

Topic: Review (continued)

Whiteboard notes-Review

 

FINAL EXAM IMPORTANT INFORMATION

Final Exam Instructions

Final exam topics

Final Exam Review Sheet

Message from Math Department Chair about academic integrity

 

FINAL EXAM WeBWorK URL (NOT our usual class site-Login information was sent to the email address you have on file in CUNYFirst. Contact me immediately if you can not login.)