AP Calc BC Homework - Block E

No class today. Next school day is Day 1

Generated Saturday, December 21, 2024 at 05:51 pm.
Mathorama School Calendar Bell Schedule Socrative.com DeltaMath.com AP Classroom Calc Applets ck12.org KhanAcademy.org Blackbaud Portal Google Classroom Fr Chris's Mathorama Videos (homework answers) Mr. O'Connor Movies (concepts and examples) JMT Calc Videos
Class Date Schedule Topic Page Exercises Links Unit
2-1Tuesday, Oct 15 Day 5 - Brown
   
Syllabus
  • Khan Academy Goal: 85% Mastry in Calculus AB by Dec 6 (10 Lab points)
    1. Definition of a Sequence
    2. Sequences
    3. Exercises from former 17Calculus
  • 0
       Preparing for the American Math Competition (AMC10/12)

    AMC 12 (grades 11 and 12): Tuesday November 14, 2023

    AMC 10 (grades 9 and 10): Tuesday November 14, 2023

    Top 5 of each represent St Francis in this national competition.

    AMC 10 at AoPS

    AMC 12 at AoPS

    Quick-Tip Video Playlist

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       9.1 Sequences (Properties of Limits, Squeeze Th for Limits, Absolute Value Th, Bounded Monotonic Th)
    1. Watch Video and Do 4 Exercises at Khan-Academy. (Class join code 6QVDHSD3)
    2. Do 9.1 Sequence WS (Substitute has paper copies and the the key.. Upload to CW 2-1 in Portals)
    5969*, 13, 17, 19, 21*, 29*, 31, 37, 47, 53*9-1.pdf
    Ch 9.1 Slides
    pdf of slides
    10.1
    2-2Thursday, Oct 17 Day 1 - Brown9.1 Bounded Monotonic Th597 61, 62, 63, 10.1
       
    1. Why study series?
    2. 9.2 Series and Convergence
      1. Geometric Series
      2. Limit of nth term of a Convergent Series Th,
      3. nth term test for Divergence
    3. ∆Math Lab 2-1 (9.1-9.2)
    605Optional 5-17 odd, 27-33 odd, 39, 41)
    1. Orders of Growth Poster

    2. Order of Magnitude WS

    3. Cesàro Summation and Analytic Continuation Video

    4. Divergent Infinite Sums BriTheMathGuy Video
    10.2
       9.2 Geometric, nth term test for Divergence60514, 18, 61, 62, 65
    1. Orders of Growth Poster

    2. Order of Magnitude WS
    10.1
    2-3Monday, Oct 21 Day 3 - BrownConvergence Tests Continue....

    In class:
    1. Proofs that the Harmonic Series Diverges:
      1. Goldmakher's Short Proof
      2. Proofs part 1
      3. Proofs 2
      4. ∆Math HW Q 2-3 (ch 9.1-9,2)
    2. Slides :Geometric, nth term, Integral Test, p test (92.-9.3 pdf) (keynote)

    For HW

    1. Textbook Problems
    2. ∆Math Lab 2-2: Integral Tests
    1. Convergence Test Table 1

    2. Convergence Table 2

    3. n-term Div wikibooks on nth Term Test for Divergence
    4. Geometric Series from Ximera
    5. p-series @17Calc
    6. Integral Test from former 17Calc
       
    Reminder: Tuesday Oct 22, 2024 is PSAT EXAM DAY on campus, No Senior classes.
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       9.3 The Integral Test and p-Series6133*, 9, 11, 13, 23, 25*, 27, 33, 35, 37, 43, Example 4, 79CalcProj13 Summary10.4
    2-4Thursday, Oct 24 Day 5 - BrownIn class:
    1. FRQ Quiz on sequences, n-th term, p-series, geometric, and Integral tests.
    2. Direct Comparison Test (DCT)
    3. Limit Comparison Test (LCT)
    4. DCT from former@ 17Calc
    5. LCT from former 17Calc
    1. Convergence Test Table 1
    2. Convergence Table 2
    3. Convergence WS
    4. Video: LCT Proof
       9.4 Comparisons of Series (DCT)6203, 5*, 9, 11, 15, 17*, 53-59Direct Comparison Test WS
    10.6
       9.4 Comparisons of Series (LCT)620 19, 21, 23, 25, 27, Which test is best for 27-34Limit Comparison Test WS
    10.6
    2-5Monday, Oct 28 Day 1 - BrownIn class:
    1. Q 2-5 (9.1-9.4)
    2. Intro to AST Alternating Series WS
    3. AST Slides
    4. AST Practice
    5. Exercises from former 17Calculus
    for HW
    1. Textbook Exercises
    2. ∆Math Lab: LCT/AST (Lab 2-4 and 2-5)
    10.7
       9.5 Alternating Series6297, 9*, 17, 21, 23, 27, 31*, 35, 37*, 39, 45, 49*
    1. AST Examples

    2. AST Remainder/Error Estimation

    3. Alternating Series Test Practice

    4. Cool Fact about conditionally convergent series
    10.7
    2-6Wednesday, Oct 30 Day 3 - Brown9.6 The Root Test, the Ratio Test, and Intervals of Convergence

    In class

    1. 11:20- Seniors to the Theater - Academic Awards Assembly
    2. page 9-13
    3. Seq and Seiries - formerly @ 17 Calc
    for HW
    1. Textbook problems
    2. Lab 2-6: Ratio Test
    6379, 15, 23*, 25, 29, 39*, 41, 43, 87-91 odd, 99Convergence WS
    Ratio Test Practice
    10.8
    2-7Friday, Nov 01 Day 5 M Brown
    Reminder: Leave for Mass 9:23
    In class:
    1. Review of Convergence Tests - How to pick the right one
    2. Absolute vs Conditional Convergence
    3. Which Test is Best #1
    4. Which Test is Best #2?
    5. Flowchart 1
    6. Flowchart 2
    7. Flowchart 3
    8. HWQ on Ratio/Root Tests
    9. Ch 9 MC Practice with answers
    1. Convergence Test Strategy Video

    2. Series Test Practice WS

    3. Summary by Cal-Tech student Laura Shou

    4. David Mao Examples of comparison Tests

    5. Calc 13 Summary
    10.7
       Quiz on 9.1-9.6634-636Read about strategies for testing a series for convergence or divergence. (ex 5 and the table on 636)
    1. Get the KhanApp

    2. Chapter 9 Stuff at Khan

    3. Sequences from Ximera
    4. n-th Term Test

    5. Geometric Series from Ximera

    6. Telescoping Series

    7. Integral Test

    8. DCT

    9. LCT

    10. AST

    11. Ratio Rest

    12. Root Test

    13. Interval of Convergence

    10
       Summary of Convergence Tests (p 636)63723*, 25, 27, 31, 39*-45 odd, 91, 92
    1. Convergence WS
    2. Ratio Test Practice
    10.8
       Review Convergence Tests (page 636: Summary of Convergence Tests) 6809, 13, 31, 39, 53-59 odd, 69a
    1. Series Test Practice WS

    2. Summary

    3. David Mao Examples of comparison Tests

    4. Sequence and Series Exercises from Wikibooks Has hints, answers, and Full Solutions

    10
    2-8Tuesday, Nov 05 Day 1 - Brown
    Test 9A on Convergence Tests (9.1-9.6)
    10
       
    Reminder: AMC 10A Nov 6, 2024
    0
    2-9Thursday, Nov 07 Day 3 - Brown
    Reminder: Veterans Day Observed Nov 11, 2024.
    0
       
    Reminder Khan Academy Goal: 85% Mastery in Calculus AB by Dec 12 - ( If on pace, you should be around 54% by now) 85% Mastery of BC Calc by March
    In class
    1. Go over Test 9A
    2. Examples of Taylor Series Questions (∆Math)
    3. Taylor Series Practice (∆Math)
    4. Taylor WS 1
    5. Taylor Polynomials 2 WS.pdf
    6. Legrange Error (Taylor Theorem)
    10.13
       9.7 Intro to Taylor Series

    For HW

    6485, 11*, 13*, 17, 21*,(24), 27*, (35), 39*, 45*
    1. TaylorPolynomials1WS.pdf
    2. Taylor Polynomials 2 WS.pdf
    3. Lagrange Remainder WS.pdf
    10.14
    2-10Tuesday, Nov 12 Day 5 - Brown
    AMC 12B is Nov 12, 2024
    For HW:
    1. ∆Math Lab 2-8: Lagrange and Alt Series Error Bound
    2. Get caught on late ∆Math Qtr 2 Labs
    0
    2-11Thursday, Nov 14 Day 1 - Brown9.8 Power Series

    In class

    1. HWQ 2-13(∆Math)
    2. 9.8 Power Series: Intervals of Convergence
    3. 9.9 Representation of Functions by Power Series
    for HW
      Textbook exercises
    1. BC Lab: Power Series (∆ Math)
    6585*, (7), 9, 11*, 19*, 21, (23), 29, 33, 49, Also 2006 BC 6 and 2008 BC 6 (Form B) 9-8 Notes
    Theorems 9-8
    Girardi Notes
    GottaNo.pdf
    10.13
    2-12Monday, Nov 18 Day 3 - Brown
    Reminder: Thanksgiving Break Nov 22-24, 2023.
    0
       9.9 Representation of Functions by Power Series
    (p 674 has a nice table)
    6613*, 7, (11), 15*, (19), 23*, 27, (33), 35*, 37, (39)9-9 Notes
    10.15
    2-13Wednesday, Nov 20 Day 5 - BrownMore on Lagrange (Taylor Remainder)Khan Assignments: functions as geometric series and power seriesLagrange WS3
    10.13, 10.15
       
    Reminder: Parent Teacher Conf moved to Wednesday Nov 20, 2024.
    0
       9.10 Taylor and Maclaurin Series6775, 7, 9*, 11, 17*, 29*, 27*, 31, 35, 55, 57, 53Geogebra: Maclaurin for sin x
    9.10 Notes
    10.14
    2-14Friday, Nov 22 Day 1 F BrownChapter 9 Review In class
    1. Collaborative Proof of Euler's Equation eπi+1 = 0
    2. HWQ 2-14 (Paper)
    3. Remainder Quiz Correction
    4. Worksheet 3 on Series
      (Here are answers to check your work)
    5. Error Bounds WS ( filled in)
    for HW
    1. Finish Remainder Quiz Correction
    2. p 680 from Text Book
    3. Finish Worksheet 3 on Series
      (Here are answers to check your work)
    68083, 85, 93, 99Alternating Series Remainder Practice with hints
    Finding Taylor series practice with hints
    QuizLet on Maclaurin Series
    QuizLet on Power series
    10
    2-15Tuesday, Dec 03 Day 3 - BrownChapter 9B Review
    1. Gotta No
    2. Fill in version
    3. Ch 9 MC Practice with answers
    1. Get the KhanApp

    2. Chapter 9 Stuff at Khan

    3. Sequences from Ximera
    4. n-th Term Test

    5. Sequences from Ximera
    6. Geometric Series from Ximera
    10
    2-16Thursday, Dec 05 Day 5 - BrownChapter 9 Review
    1. Review
    2. Q 2-16 on 9B
    3. Unit 10 Progress Check: MCQ Part A, B, C (AP Classroom)
    Alternating Series Remainder Practice with hints
    Finding Taylor series practice with hints
    QuizLet on Maclaurin Series
    QuizLet on Power series
    10
    2-17Monday, Dec 09 Day 1 - Brown
    Chapter 9B Test
    Get the KhanApp
    Chapter 9 Stuff at Khan
    10
    2-18Wednesday, Dec 11 Day 3 - BrownSem 1 Review
    1. Class 2-18 at AP Classroom
    2. Sem 1 FRQ
    3. Unit 10 Progress Check: MCQ Part A
    4. Unit 10 Progress Check: MCQ Part B
    5. Unit 10 Progress Check: MCQ Part C
    Study Guide
    Ch 9 MC Practice with answers
    Grade Speculation WS from Syllabus
    2-19Friday, Dec 13 Day 5 F BrownSem 1 Review Class 2-19 at AP ClassroomStudy Guide
    Grade Speculation WS from Syllabus
    2-20Monday, Nov 30 Day Sem 1 Review Class 2-20 at AP ClassroomStudy Guide
    Grade Speculation WS from Syllabus
    2-21Tuesday, Dec 17 Day X X Brn/Gld
    Semester Exam is on Wednesday December 18, 2024
    Semester 1 Exam Study Guide
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    login Mathorama School Calendar Bell Schedule Socrative.com DeltaMath.com AP Classroom ck12.org KhanAcademy.org Blackbaud Portal Google Classroom Podcast Videos

    Resources
    1. 11e HW Solutions @ CalcChat
    2. 11e HW Solution Videos @ calcView from the textbook (well done, but just the problems with * )
    3. Fr C's HW Solution Videos from the Mathorama podcast (just the problems with ** )
    4. 11e HW Solutions @ Quizlet (formerly Slader) Good for answers to even questions
    5. 11e HW Solution Videos @ numerade.com Some are better than others, but fairly complete
    6. 11e Lecture Videos @ Larson Calculus
    7. Class Sketchpad Files and Worksheets
    8. GeoGebra Apps
    9. Free Wolfram CDF Player
    10. 8e HW Solutions