Unit 4:  Integrals

Unit 4:  Integrals

COVID Unit 4 Online Videos

• Day 44:  Riemann Sums

  • • Watch the Videos for Today:

      • • Video 1:  Math 251 vs Math 252

        • Video 2:  Finding Area with Three Subdivisions

        • Video 3:  Finding Area with Six Subdivisions

        • Video 4:  Thoughts About Delta x

        • Video 5:  Derivation of the LHS Formula

        • Video 6:  A Quick Lesson in French

        • Video 7:  LHS, RHS and MHS Formulas and Pictures

        • Video 8:  Final Example

    • 5.1:  1a, 2, 3, 11, 13

    • LEFTSUM

• It really wouldn't hurt my feelings if you had time to watch these videos during the ice storm shut down.  We don't really have a ton of time left before the AP Exam.

  • • Video 1:  Definition of the Definite Integral

    • Video 2:  Bunch of Rules of Integrals

      • • 5.2:  5, 8, 9, 12, 30, 31, 33, 35, 41-43

          • • 33

• Day 44.5:  Requests on 5.1 HW and Videos, Watch 5.2 Videos

• Days 45 and Day 46 cut to ice storm.   Hopefully you watched some videos?

• Day 47:  The Definite Integral and Evaluating Definite Integrals (should be 2 days... thanks ice!)

  • • Video 1:  Definition of the Definite Integral

    • Video 2:  Bunch of Rules of Integrals

      • • 5.2:  5, 8, 9, 12, 30, 31, 33, 35, 41-43

    • Video 1:  The Fundamental Theorem of Calculus?

    • Video 2:  Antiderivatives Again

    • Video 3:  Evaluating Some Definite Integrals

    • Video 4:  More Integration

    • Video 5:  Displacement vs. Total Distance

      • • 5.3:  1, 3, 15-33 odd, 42, 47, 52, 53

    • Do you think you want to take the BC exam?  If so, buy a practice book and start working.  I can help during lunch.  I recommend:  THIS ONE

• Day 48:  The Fundamental Theorem of Calculus

  • • 5.4:  3-17 odd, 19abc

• Day 49:  Integration by Substitution Day 1

  • • 5.5:  7-32

• Day 50:  Integration by Substitution Day 2  (45)

  • • Watch These Videos:

      • • Video 1:  Using Substitution for Definite Integrals

        • Video 2:  Two More Examples

    • 5.5:  37-52

    • Do you think you want to take the BC exam?  If so, buy a practice book and start working.  I can help during lunch.  I recommend:  THIS ONE

• Day 51:  Integration by Parts (75)

  • • 5.6:  3-23 odd, 41

    • Smarter Balanced Testing is tentatively scheduled for Juniors during the week of April 22.  Opt-out forms are available in the career center, but please plan ahead if that's your choice

• Day 1:   New Stuff (wait... didn't we already do this? (45)

  • • 5.9:  1, 2, 7ab, 13, 25 (with midpoint rule)

    • Mr. B had Bad Time Management today...:

      • • Video 1:  Riemann Recap

        • Video 2:  The Trapezoidal Rule

• Day 2:  TON of Requests and Other Integration Tricks

  • • 5.7:  1-3, 5, 17-27 odd, 28

• Day 3:  Jeopardy

  • "Notes"

    • Jeopardy Questions

      • • Jeopardy Answers

    • Double Jeopardy Questions

      • • Double Jeopardy Answers

• Day 4:  Archaic Integration, Chapter 5 Review (45)

  • • No Homework

    • Unless you want to study for the test...

    • 5.6 Video Requests

      • • 7 9 13 15

        • 17 (scroll down)

        • 19 21 23 41

    • 5.7 Video Requests

      • • 1 2 3 5

        • 21  At the Bottom when it says "Day 2 Videos", see Video 1 below

        • 23

    • 5.9 Video Requests

      • • 7 13 25

    • 5.8:  1-11 odd, 17 (optional)... try at least one?  NOT on the test...(SKIP FOR SURE IN 2024)

      • • Video 1:  A New (Actually Really Old) Formula

        • Video 2:  There are a LOT of Archaic Formulas

        • Video 3:  Try 5.8:  #4

• Day 5:  Chapter 5 Test

  • • READ and do 6.1:  1-4, 5-15 odd, 25, 36

      • • Video 1:  Area vs. Area BOUNDED by Curves

        • Video 2:  Area Dialed Up a Notch

        • Video 3:  NOW What?

    • Do you think you want to take the BC exam?  If so, buy a practice book and start working.  I can help during lunch.  I recommend:  THIS ONE