Remote Calculus I. Lectures and Downloads
- 8/26 Notes
- 8/26 Video
- 8/27-4-ways-to-reresent a function - Notes
- 8/27 Video
- 8/28 Graphing by Transformations PDF
- 8/28 Video
- 8/29-Trig-Review PDF
- 8/29 Video
- 9/03-1-4-tangent-problem Spreadsheet Download
- 9/03-spreadsheet-from Class Download
- 9/03 Tangent Line and Velocity PDF
- 9/03 Video
- 9/04-limits-intro PDF
- 9/04-sinx-over-x Video
- 9/09-1-6-limit-law. Video
- 9/09 Video
- /10 Limits and Continuity PDF
- 9/10 Video
- Precise Definition of Limit PDF (Epsilon-Delta Proofs)
- 9/11 Video
- 9/12-review PDF
- 9/12 Video
- 9/17 Derivatives PDF
- 9/17 Video
- 9/18 The Derivative as a Function PDF
- 9/18 Video
- 9/19 Differentiation Rules PDF
- 9/19 Video
- 9/23-Trig Derivatives PDF
- 9/23 Trig Derivatives Video
- 9/24 Chain Rule PDF
- 9/24 Chain Rule Video
- 9/25-Q&A Video
- 9/25 Chain Rule PDF
- 9/25 Chain Rule Video
- 9/26-2-4-question PDF
- 9/26 Video
- 9/30-Part-1 MP4
- 9/30-Part-2 MP4
- 9/30-Chain Rule and Implicicit Differentiation PDF /a>
- 10/01-Implicit Differentiation and Tangent Line PDF
- 10/02-2-6-n-2-7 PDF
- 10/02 Video
- 10/07-2-8-notes PDF
- 10/07-Pt-I-Related Rates Video
- 10/07-Pt-II-Midterm. Video
- 10/08-2-9-n-Review PDF
- 10/08-Pt-I-2-7-Question Video
- 10/08-Pt-II-2-9 Video
- 10/08-maple PDF
- 10/09-Midterm-Review PDF
- 10/09 Video
- 10/10-notes PDF
- 10/10 Video
- 10/16-3-1-video Video
- 10/16-notes PDF
- 10/17-after-midterm PDF
- 10/21-Organizational Stuff PDF
- 10/21-Midterm Curve Scratch PDF
- 10/21 Video
- 10/22-Announcements PDF
- 10/22 Video
- 10/23-Announcements PDF
- 10/23 Video
- 01/24-3-6-num-2-and Announcement PDF
- Brief Announcement I also worked 3.6 #2 in class, but I don't think I captured it on video.
- 10/24-maple Computer Algebra PDF
- 10/28 - Notes. We worked a version of 3.6 #7, which required Computer Algebra.
I did some Maple, and then remembered WolframAlpha.com, which does derivatives and solves equations.
- Video Part I. This video covers the questions asked in class. We also did a volume of
the box made by cutting out the corners of a piece of square cardboard.
- Video Part II. This video covers a version of your Writing Project #2's question
#2, the Rational Function with Oblique (Slant) Asymptote. We didn't get to the Calculus part of it, but used
College Algebra skills to rough it in. Next time, we'll do the calculus part.
- Notes from 10/29
- 10/29 Video: Finish the Graphing Problem from Last Time (10/28)
- Newton's Method 10/29
- Download Excel Spreadsheet for Newton's Method!
- 10/30 Notes
- 10/30 Video Part I- Announcement about Midterm Make-Up
- 10/30 Video Part II - 3.7 #9
- 10/30 Video Part III - Better Newton's Method Presentation than 10/29
- 10/31 VideoBrief Announcement and 2-minute discussion of 3.9
- 10/31 Notes
- 10/31 - Section 3.9 - Antiderivatives -
The General Idea
- Lecture and Homework Notes for 3.9
- 11/4 Notes - One Announcement. One fix of # of submissions on 3.9
- 11/4 Video
- 11/5 Notes - Just an announcement about Test 3 being tomorrow. There were no questions.
- 11/5 Video - Again, just a brief announcement about where we are
- 11/6 Notes - Just a brief announcement about today being Test Day and switching formats, here.
- 11/6 Video
- 11/7 Notes - 4.1 Intro: Areas and Distances
- 11/7 Video - 4.1 Intro (to Riemann Sums) - Theory
- 11/7 - 4.1 Homework Videos and Notes
- 11/7 - In-Class Notes - Brief Announcement about Midterm Make-Ups. Then I do a
written 4.2 problem (from Test 4). THEN I work the same definite integral with the Fundamental Theorem of Calculus Part II
- 11/7 - Video - Where some Easter
Eggs may be found on harryzaims.com (This site)
- 11/11 - 4.2 Intro Notes and Homework Notes - the Formal
Definition of the Definite Integral
- 11/11 - 4.2 Intro Video
- 11/11 - We
prove the following:
This argument uses induction.
- 11/11 - All of 4.2 Notes and Videos - I see some missing notes
toward the end of the assignment. I think there's enough there to guide you, but the coverage is not complete. Let
me know if you need anything in more detail
- 11/11 - Video from Class on 4.2 tricks
- 11/11 - Notes from Class on 4.2 tricks
- 11/12 - 4.3 Video - The 1st Fundamental Theorem of Calculus
- 11/12 - Video - 4.3 The 2nd Fundamental Theorem of Calculus
- 11/12 - 4.3 Homework Video
- 11/12 - Notes from Lecture - Announcements about Midterm Re-Take and some re-
shuffling of the assignments (to make room around Thanksgiving). No assignments were moved up. Some were moved back.
I was asked about 4.3 #19 (FTC I question).
- 11/13 - Just an announcement about where we are and where we're headed.
- 11/14 - Notes. I was asked about a 5.2 question. - Currently, we're finishing
up
Chapter 4, and people should be working on 4.3 - 4.5 today and coming days, preparing for Test 4.
- 11/14 - 5.2 Notes and Videos -
I was asked about
#15 in class. If you lay the y-axis down flat, pointing away from you, the shape created is like a time tunnel, where the walls are as tall as the floor
and ceiling are wide, and the width tapers to zero as you move forward along the y-axis.
- 11/14 - Brief Video Discussion of where we are and where things are.
- 11/18 - Announce: Test 4 Due Wednesday. Last Call for Midterm Re-Take
- 11/18 - 4.4 Notes and Videos
- 11/18 - 4.5 Notes and Videos
- 11/19 - Uneventful Work Day. Prepping for Test 4.
- 11/20 - Today is the Test 4 Deadline. We begin Chapter 5 on Thursday.
- 11/21 - Section 5.1: Area Between Two Curves Is An Integral:
- 11/21 - Section 5.1 Notes and Videos
- 11/21 - Brief Video
-
11/21 - Writing Project #3
has been revised. I changed the 2nd problem to make the numbers come out cleaner.
- 11/21 Notes. Mostly WP#3 Stuff
- 11/25 Notes. - Written Final 12/9-12/10. WebAssign Final Test due 12/13.
- 11/25 Video
- 11/26 Notes. 6.1 #15 was worked in class
- 11/26 Video for 6.1 #15
- 12/2 Notes - Mainly just announcing the schedule and showing people slight changes.
- 12/2 Video - No questions, so just a re-hash of what you can get from the notes
- 12/3 Video
- 12/3 Notes
- 12/4 Video - Answered a question or two about WP#3.
- 12/4 Notes - Too much info on WP#3 to help cheaters.
- 12/5 Notes - Total Change versus Net Change. Also, Derivative of the Inverse
- 12/5 Video - Visit from Field Trip!
- 12/10 Notes - Brief Riemann Sum Demo
- 12/10 Video - The Riemann Thingie and a Grade Book Demo