MAT1575: Calculus 2

Instructor: Suman Ganguli | Fall 2023

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Class 13/14 Recap (Mon Oct 16 & Wed Oct 18)

Class Info

  • Date: Mon Oct 16 & Wed Oct 18
  • Meeting Info: 10a-11:40a, N719

Announcements

WebWork:

  • finish “Integration – Integration by Parts” (due Mon Oct 23)
  • work on “Integration – Partial Fractions” (due Wed Oct 25)

Office hours: Friday 11a-12p on Blackboard Collaborate.

Topics

We spent most of the class period on Monday reviewing Exam #1. We then introduced the next topics–integration by the “method of partial fractions” and computing “the area between two curves.” We spent Wednesday going through examples from the WebWork “Integration – Partial Fractions”.

From Monday:

From Wednesday:

The method of partial fractions is covered in Sec 3.4 of the textbook. You can also watch the examples in these PatrickJMT videos:

Class 11 Recap (Tues Oct 10)

Class Info

  • Date: Tues, Oct 10
  • Meeting Info: 10a-11:40a, N719

Announcements

Exam #1 will be tomorrow (Wed Oct 11). See below for a list of topics/exercises to review.

Topics

We spent the class period reviewing the topics we have covered so far this semester, and which will be covered on the exam tomorrow.

Look at the quiz and substitution homework solutions, which you can download from OpenLab Files. Those give a good overview of the topics and types of exercises that will be on the exam (plus integration by parts — see below).

You can also review the WebWork exercises listed below, the examples we went over in class, and the examples from the textbook (consult your notes and/or the blackboard photos and textbook links/screenshots I have posted in the Class Recaps here on OpenLab).

We also went through an example of solving a definite integral via substitution:

We also reviewed integration by parts–study the basic examples we went over in class.

For additional practice on integration by parts, try to complete exercises #3-5 from the WebWork “Integration By Parts” (which are similar to the examples above).

You don’t have to memorize the integration by parts formula or any of the basic antiderivatives–they will be provided to you on the exam.

Class 10 Recap (Wed Oct 4)

Class Info

  • Date: Wed, Oct 4
  • Meeting Info: 10a-11:40a, N719

Announcements

Exam #1 will be next Wednesday (Oct 11).

The college is closed on Monday–we meet on Tuesday (Oct 10) next week instead (the college is on a Monday schedule that day). We will use that class session to review the quizzes and the topics that will be on the exam.

Finish WebWork: “Integration – Substitution” and “Integration – Exponential and Logarithmic”: due Thurs Oct 5. An additional “Integration by Parts” set will be opened shortly.

Office hours: I will be in my office (N724) tomorrow (Thursday Oct 5) 1:30-3p. Please drop by if you want to go over any homework exercises or examples. I will also have office hours on Blackboard Collaborate Friday afternoon, 1-2p.

Topics

More examples of integration by parts (Sec 3.1):

We started this example–we can finish this on Tuesday:

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