AP Calc BC Homework - Block F

Class 421 (441 for G) Day 5 Class 421 Brown Senior Exams: Religion/Science

Generated Thursday, May 23, 2024 at 01:35 am.
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Class Date Schedule Topic Page Exercises Links Unit
2-1Tuesday, Oct 17 Day 4 - Gold
   
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 19 Day 6 - GoldJunior Retreat Oct 18-203.2
       9.1 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 23 Day 2 - GoldConvergence 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 26 Day 4 F GoldIn 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 30 Day 6 - GoldIn 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, Nov 01 Day 2 M Gold9.6 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 03 Day 4 F GoldIn 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

    10
    2-8Tuesday, Nov 07 Day 6 - GoldQuiz 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 09 Day 2 - Gold
    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.
    0
    2-10Tuesday, Nov 14 Day 4 - GoldAmerican Math Competition (AMC10/12)

    AMC 12 (grades 11 and 12): 10:25-11:40
    AMC 10 at AoPS

    AMC 12 at AoPS

    Quick-Tip Video Playlist

    0
    2-11Thursday, Nov 16 Day 6 - Gold
    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 20 Day 2 - Gold
    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
    2-13Monday, Nov 27 Day 4 - GoldMore 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
    2-14Wednesday, Nov 29 Day 6 - Gold9.10 Taylor and Maclaurin Series6775, 7, 9*, 11, 17*, 29*, 27*, 31, 35, 55, 57, 53Geogebra: Maclaurin for sin x
    9.10 Notes
    10.14
    2-15Friday, Dec 01 Day 2 F GoldChapter 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
    10
    2-16Tuesday, Dec 05 Day 4 - GoldChapter 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
    2-17Thursday, Dec 07 Day 6 - Gold
    Chapter 9B Test
    Get the KhanApp
    Chapter 9 Stuff at Khan
    10
    2-18Monday, Dec 11 Day 2 - GoldChapter 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
    2-19Tuesday, Dec 12 Day X X Brn/GldSem 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