Instructor: Suman Ganguli | Fall 2023

Category: Class Agendas(Page 1 of 9)

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!)

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:

Class Info

• Date: Wed Dec 6
• Meeting Info: 12p-1:40p, N700

Annoucements

WebWork:

• “Application – Monotonicity” – due Mon Dec 11
• “Application – Shapes of Polynomials” – due Mon Dec 11

Schedule for the rest of the semester:

• Exam #3 will consist of a take-home component which will be distributed in class on Monday (Dec 11) and will due the following Monday (Dec 18)
• We do not meet on Wed Dec 13 (Tues Dec 12 and Wed Dec 13 are reading days, so no classes will meet)
• There will also be an in-class exercises for Exam #3 which we will take that 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
• See the 1st board snapshot below for a day-by-day outline of the schedule

Topics

Here is the schedule, and also the list of topics which we have been discussing, and which will be covered on Exam #3:

We covered “Related Rates–this is an application of the Chain Rule, for “relating” two rates of change. A typical application involves some quantity (such as the volume of same shape) which is function of some other quantity (e.g., a dimension), both of which are changing over time.

We worked through three examples from the Final Exam Review sheet:

This topic is covered in Sec 4.1 of the textbook. You should read the explanation and examples there: