ONLINE Unit 5: The Integral

Computer Science Club Paid Advertisement

Zoom Link

Unit 5: The Integral

• Day 5: Approximate Area. (Videos 1-8 were shot for BC, Video 9 and 10 are just AB)

  • • 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: An Example

    • Video 9: Intro to Last Example that is Test Level

    • Video 10: Answer to Part a

    • Video 11: Answer to Part b

    • Video 12: Answer to Part c

    • Video 13: Lets Talk Trapezoids

      • • 5.1: #9, 11, 14-20 (but do L,R,M AND T for each)

          • • 9 11 16

            • Answer to #14 (Pretty similar to FRQ 11)

Math Club Paid Advertisement

Google Meet Link

Nickname: cvmathclub

• FriDay 6: More Practice

  • • No New Videos. Re-watch the 13 from Day 5

      • • See you in a Week!!

FRQ 11: Riemann

(No Calculator, Shoot for About 20 Minutes)

• MonDay 7 (after a week off): Definition of the Definite Integral

  • • Video 1: The Definition of the Definite Integral

    • Video 2: Terminology and Notation

    • Video 3: Properties of Definite Integrals 1

    • Video 4: Another Example

    • Video 5: Properties of Definite Integrals 2

    • Video 6: One More Property of Integrals

      • • 5.2: #1, 3-8, 13-16, 29-30, 43-46, 55-58.

          • • 8 16 43 45 and 46

• Day 8: The Fundamental Theorem of Calculus (Part 2)

  • • Video 1: Area Under a Velocity Curve

    • Video 2: Example 5.3 #14

    • Video 3: Two More Examples

    • Video 4: A Magic Formula

    • Video 5: That One Exception

    • Video 6: More Magic Formulas

      • • Correction: At time 3:42, the answer should be -csc x and NOT -csc x cot x

    • Video 7: Example 5.3 #20

    • Video 8: Another Property of Integrals

    • Video 9: Example 5.3 #26

    • Video 10: Example 5.3 #18 and one like #18

    • Video 11: Use "Math 9" on Your Calculator

    • Video 12: Example 5.3 #24

      • • 5.3: #1-41 odd (every other odd at MINIMUM)

          • • 23 25 27

            • 29 35 39

        • 5.3: #2-40 wouldn't hurt to do time permitting

• Day 9: Antiderivatives

  • • Video 1: Recapping FTC part 2 with an Example

    • Video 2: An Antiderivative, General vs Specific

    • Video 3: Two More Examples

    • Video 4: Thoughts on Notation

    • Video 5: Two Indefinite Integrals

    • Video 6: A List of Formulas/Magic Tricks

      • • 4.9: #11-39 odd, 47-51, 58-60

          • • 21 and 31 29

• Day 10: Workday

  • • No Videos

      • • Get Caught Up

• FriDay 11: The Fundamental Theorem of Calculus (Part 1)

  • • Video 1: An Accumulated Value Function

    • Video 2: The Derivative of an Accumulated Value Function

    • Video 3: Example 2

    • Video 4: Uh-oh... Might Need Reegan's Help

    • Video 5: FTC Part 1

    • Video 6: Example 4 One Way

    • Video 7: Example 4 Another Way... so Example 5?

    • Video 8: Example 6

    • Video 9: Example 7

    • Video 10: Example 8

      • • 5.4: #7-10, 21-25

          • • 8 and 10 9 22 and 24 25

        • Canvas Quizzes

• MonDay 12: Total Change

  • • Video 1: Total Distance

    • Video 2: Example 1

    • Video 3: Example 2

    • Video 4: Example 3

      • • Physics Applications Worksheet (Skip #3 and #4)

          • • Physics Applications Worksheet Answers

        • 5.5: #1-12 odd

          • • Requests

        • Canvas Quizzes

• Day 13: Buffer Day

  • • No Videos

      • • Get Caught up

          • • Canvas Quizzes

            • FRQ 12

FRQ 12: Integrals 1

(30 to 45 minutes, NO Calculator)

(Be Sure to Have Finished 4.9, 5.3 and Physics Applications WS)

• Day 14: Substitution

  • • Corvallis student (NO SENIORS!) survey link: EOS Student Survey

• Students should use their student IDs to log into the survey. (no zeros before ID)

• 9th, 10th and 11th grade students should complete the survey. 12^th grade students do NOT need to be surveyed.

• • • Video 1: First Integration by Substitution Example

    • Video 2: Example 2

    • Video 3: Examples 3 and 4

    • Video 4: Examples 5 and 6

    • Video 5: Examples 7 and 8

      • • 5.6: #7-27 every other odd (do the rest for more practice)

          • • 15 22

• Day 15: More Substitution

  • • Video 6: Integration by Substitution Examples 9 and 10

    • Video 7: Examples 11 and 12

    • Video 8: Examples 13 and 14

    • Video 9: Examples 15 and 16

      • • 5.6: #31-71 every other odd (do the rest for more practice)

          • • 31 35 51

            • 59 67 71

• FriDay 16: Even MORE Substitution, This Time With Definite Integrals

  • • Video 1: Example 1

    • Video 2: Examples 2 and 3

    • Video 3: Examples 4 and 5

    • Video 4: Examples 6 and 7

      • • Definite Integral Integration by Substitution Worksheet

          • • Definite Integral Integration by Substitution Worksheet Answers

        • 5.6: 79-87 odd

          • • 85 87 89

        • 5.7: 1-9, 15, 20, 25, 26, 33-41 odd, 49, 53

          • • 20 and 26 37 49 and 53

• MonDay 17: Workday

  • • No New Videos

• Day 18: Bonus - Integration by Parts Day 1

  • • Video 1: Introduction to Today

    • Video 2: Derivation of Integration by Parts

    • Video 3: Example 1

    • Video 4: Example 2

    • Video 5: Example 3

      • • Everyone who is taking the AP exam now needs to buy an AP Calculus Review Book. I recommend: THIS ONE

        • Integration by Parts Worksheet

          • • Integration by Parts Worksheet Answers

FRQ 13: Integration 2

(Topics from Day 14, Day 15 and Day 16)

(Shoot for About 20 Minutes, No Calculator)

(Be sure to get FRQ 12 graded and back before trying FRQ 13)

• Day 19: Bonus - Integration by Parts Day 2 (last 3 pics didn't make the videos)

  • • Video 1: 7.1 #8

    • Video 2: 7.1 #10

    • Video 2: 7.1 #20

    • Video 2: 7.1 #50

    • Video 2: 7.1 #54

      • • Everyone who is taking the AP exam now needs to buy an AP Calculus Review Book. I recommend: THIS ONE

        • 7.1: 7-13 odd, 19-25 odd, 49-52

          • • 7.1 Answers

• Day 20: Buffer

  • • No New Videos

      • • Everyone who is taking the AP exam now needs to buy an AP Calculus Review Book. I recommend: THIS ONE

        • Try not to forget everything over Winter Break!