AP Calc BC Homework - Block E

No class today. Next school day is Day 2

Generated Sunday, October 06, 2024 at 12:19 am.
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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
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       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)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)Orders of Growth Poster
    Order of Magnitude WS
    17Calculus
    10.2
       9.2 Geometric, nth term test for Divergence60514, 18, 61, 62, 65Orders of Growth Poster
    Order of Magnitude WS
    17Calculus
    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 2-3: Integral Tests
    1. Convergence Test Table 1
    2. Convergence Table 2
    3. n-term Div from former 17Calc
    4. Geometric Series @17Calc
    5. p-series @17Calc
    6. Integral Test from former 17Calc
       
    Reminder: Tuesday Oct 24, 2023 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 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
       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. AST @ 17 Calc
    for HW
    1. Textbook Exercises
    2. ∆Math Lab: LCT/AST
    62910.7
       9.5 Alternating Series6297, 9*, 17, 21, 23, 27, 31*, 35, 37*, 39, 45, 49*AST Examples
    AST Remainder/Error Estimation
    Alternating Series Test Practice
    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. Q 2-4 redo
    2. page 9-13
    3. Ratio Test @ 17 Calc
    for HW
    1. Textbook problems
    2. Lab 2-3: 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 BrownIn class:
    1. Review of Convergence Tests
    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
    629Convergence Test Strategy Video10.7
       Summary of Convergence Tests (p 636)63723*, 25, 27, 31, 39*-45 odd, 91, 92 Convergence WS
    Ratio Test Practice
    10.8
       Review Convergence Tests (page 636: Summary of Convergence Tests) 6809, 13, 31, 39, 53-59 odd, 69aSeries Test Practice WS

    Summary by Cal-Tech student Laura Shou

    David Mao Examples of comparison Tests

    Calc 13 Summary

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    2-8Tuesday, Nov 05 Day 1 - BrownQuiz on 9.1-9.6634-636Read about strategies for testing a series for convergence or divergence. (ex 5 and the table on 636)10
    2-9Thursday, Nov 07 Day 3 - Brown
    Test 9A on Convergence Tests (9.1-9.6)
    17Calculus.com Review Has written answers and video explanation
    10
       
    Reminder: Veterans Day Observed Nov 10, 2023.
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    2-11Thursday, Nov 14 Day 1 - Brown
    Reminder: Parent-Teacher Conferences Monday Nov 20, 2023.
    0
       In class:
    1. Go over Test 9A
    2. ∆Math Examples of Maclauren and Taylor series
    3. Taylor WS 1
    For HW
    6485, 11*, 13*, 17, (24), (35), 39*, 45*Taylor Polynomials 2 WS.pdf
    Lagrange Remainder WS.pdf
    10.11
    2-12Monday, Nov 18 Day 3 - Brown
    Reminder: Thanksgiving Break Nov 22-24, 2023.
    0
       
    Reminder Khan Academy Goal: 85% Mastry in Calculus AB by Dec 6 - ( If on pace, you should be around 54% by now) 85% Mastery of BC Calc by March
    In class
    1. Examples of Taylor Series Questions (∆Math)
    2. HWQ 2-12 (∆Math)
    3. Taylor WS 1
    4. Taylor Polynomials 2 WS.pdf
    5. Legrange Error (Taylor Theorem)
    6. Error Bounds In Power Series WS
    for HW
    1. Textbook Exercises
    2. BC Lab: Taylor 2 @ ∆Math
    10.13
       9.7 Intro to Taylor Series64817, 21*, 27*TaylorPolynomials1WS.pdf
    10.14
       9.8 Power Series6585*, (7), 9, 11*, 19*, 21, (23), 29, 3310.13
    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
       In cleass
    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)
    65949, Also 2006 BC 6 and 2008 BC 6 (Form B) 9-8 Notes
    Theorems 9-8
    Girardi Notes
    GottaNo.pdf
    10.13
       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
    2-14Friday, Nov 22 Day 1 F Brown9.10 Taylor and Maclaurin Series6775, 7, 9*, 11, 17*, 29*, 27*, 31, 35, 55, 57, 53Geogebra: Maclaurin for sin x
    9.10 Notes
    10.14
    2-15Tuesday, Dec 03 Day 3 - BrownChapter 9 Review In class
    1. Error Bounds WS ( filled in)
    2. HWQ 2-15
    for HW
    1. p 680 from Text Book
    2. Error Bound HW (1-9)
      (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
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    2-16Thursday, Dec 05 Day 5 - BrownChapter 9B Review
    1. Gotta No
    2. Fill in version
    3. Ch 9 MC Practice with answers
    Get the KhanApp
    Chapter 9 Stuff at Khan
    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 - BrownChapter 9 Review
    1. Unit 10 Progress Check: MCQ Part A, B, C (AP Classroom)
    2. Please upload your work to CW 2-18
    Alternating Series Remainder Practice with hints
    Finding Taylor series practice with hints
    QuizLet on Maclaurin Series
    QuizLet on Power series
    10
    2-19Friday, Dec 13 Day 5 F BrownSem 1 Review Class 2-19 at AP Classroom Study Guide
    Ch 9 MC Practice with answers
    Grade Speculation WS from Syllabus
       Sem 1 Review Class 2-19 at AP ClassroomStudy Guide
    Grade Speculation WS from Syllabus
       
    Semester Exam is on Friday December 15, 2023
    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