# 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

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

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’HĂ´pital’s rule

Lâ€™HĂ´pitalâ€™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’HĂ´pital’s rule (continued); Asymptotes

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. Part IÂ : Find the domain, intercepts, symmetry relations, asymptotes, intervals of increase/decrease, and local extrema (rational function)
2. Â Part IIÂ : 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

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)

NotesÂ from review session

Whiteboard notes-Exam3 review

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