Instructor: Suman Ganguli | Fall 2023

# Category: Resources(Page 1 of 5)

## Class Info

• Date: Mon Dec 18
• Meeting Info: 12p-1:40p, N700

## Announcements

• The final exam is in-class on Wednesday Dec 20 – see below for a list of topics/exercises to review
• I will be in my office (N724) most of the day Tuesday grading your Exam #3’s. You can drop by if you want to pick up your exam, and/or go over any topics/examples for Wednesday’s final.  I plan to be there 10a-3p.

## Topics

I outlined the topics/exercises from the Final Exam Review sheet you should review for the final:

Here is a text version of the list, along with with midterm and quiz exercises to review:

Skip #1

#2(a)(b): The limit definition of the derivative: Exam 3 (exercise #4)

#3(a)-(e) & #4(a)-(e): Finding derivatives using the differentiation rules: Exam 1 (#4), Exam 2 (#2), Quiz #2

Skip #5 (logarithmic differentiation)

#6(a)(b): finding the equation of a tangent line (using the derivative and the point-slope equation of the line): Exam 1 (#3), Exam 2 (#4), Quiz #2

Skip #7 (implicit differentiation)

#8(a): linear approximation: Exam 3 (#2)

#9-10 & #16-17: applied optimization: Exam #3 (#3)

#11-15: related rates: Exam 3 (#1)

#18: using the 1st and 2nd derivative for the graph: Exam 3 (#5)

Skip #19 and #20 (definite and indefinite integrals, using “antiderivatives” — the main topic of MAT1575!)

I recorded office hours yesterday morning with a handful of people from class who logged on. I went through the take-home exercises one by one, and we went through a number of examples from the textbook, the WebWork, and the Final Exam Review which are relevant for the take-home exam exercises. You can view the recording on Blackboard (toggle on the menu to “Recordings”):

https://bbhosted.cuny.edu/webapps/collab-ultra/tool/collabultra?course_id=_2317401_1&mode=cpview

I also scanned my notes from the office hours as a pdf and uploaded it to OpenLab Files.

Here is a summary of some relevant examples to study for each of the take-home exam exercises:

#1 (related rates): Final Exam Review (FER) #11-13, which we discussed in Class 27; see also Example 4.1 and the “Problem-Solving Strategy: Solving a Related-Rates Problem” from Sec 4.1 of the textbook.

#2 (linear approximation): See FER #8(a) and the example from Class 28, as well as the examples (and graphs) at the start of Sec 4.2. You can also review the exercises from Exams #1 and #2 where I asked you to write equations of tangent lines (and sketch them)

#3 (applied optimization): FER #9-10, which we covered in Class 26; I went through #9 again in office hours; see also Example 4.32 and the “Problem-Solving Strategy: Solving Optimization Problems” at the beginning of Sec 4.7.

#4 (limit definition of the derivative): See the solutions for FER #2(a)(b)

#5 (shape of the graph and maxima/minima using the 1st and 2nd derivatives): See the solutions for FER #18, which we discussed in class on Class 28; and the example we did in Class 25 (using a cubic function that appeared on Exam #1).

For the last exercise (and for #2, since it also involves sketching a graph) you should use Desmos or a graphing calculator to check your solutions and help you sketch an accurate graph.

## Class Info

• Date: Mon Dec 11
• Meeting Info: 12p-1:40p, N700

## Announcements

Schedule for the rest of the semester:

• The take-home exercises for Exam #3 were distributed in class, which will be due next Monday (Dec 18)
• the pdf of the take-home exam exercises are available on OpenLab Files, in case you were absent yesterday or need to print out another copy
• We do not meet tomorrow (Wed Dec 13 – reading day) — I will have office hours during class-time over Blackboard Collaborate instead
• There will also be a short in-class component for Exam #3 which we will take next Monday Dec 18 (the take-home exercises will serve as preparation for the in-class exam); we will also review for the final exam that day
• The final exam is in-class on Wednesday Dec 20

## Topics

Outline of topics on the Exam #3 take-home, and related Final Exam Review exercises which we have gone through in class:

A linear approximation example, with the associated graph:

Graphing example from the Final Exam Review: