# AP Calc BC Homework - Block D

Generated Monday, November 29, 2021 at 10:34 pm. Day 6 Class 213 Brown
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 Class Date Schedule Topic Page Exercises Links Unit 2-1 Tuesday, Oct 19 Day 6 - Brown Preparing for the American Math Competition (AMC10/12) AMC 12 (grades 11 and 12): 1:45-3:00 Wednesday November 10, 2021 AMC 10 (grades 9 and 10): 2:45-4:00 Wednesday November 10, 2021 Top 5 of each represent St Francis in this national competition. AMC 10 at AoPS AMC 12 at AoPS Quick-Tip Video Playlist 0 9.1 Sequences (Properties of Limits, Squeeze Th for Limits, Absolute Value Th, Bounded Monotonic Th) 596 9*, 13, 17, 19, 21*, 29*, 31, 37, 47, 53* 9-1.pdfCh 9.1 Slides pdf of slides 10.1 2-2 Thursday, Oct 21 Day 2 - Gold In class: BC Q 2-2 on DeltaMath.com Orders of Growth Slides:Geometric, nth term, Integral Test, p test (92.-9.3) n-tern Div @17Calc Geometric Series @17Calc Convergence Test Table 1 Convergence Table 2 9.1 Bounded Monotonic Th 597 61, 62, 63, 10.1 9.2 Geometric, nth term test for Divergence 605 14, 18, 61, 62, 65 Orders of Growth PosterOrder of Magnitude WS17Calculus 10.1 2-3 Monday, Oct 25 Day 4 - Brown Reminder: Oct 26 is PSAT/SAT on campus, No Senior classes. 0 Why study series? 9.2 Series and Convergence Geometric Series Limit of nth term of a Convergent Series Th, nth term test for Divergence only 605 5-17 odd, 27-33 odd, 39, 41 Orders of Growth PosterOrder of Magnitude WS17Calculus 10.2 9.3 The Integral Test and p-Series 613 3*, 9, 11, 13, 23, 25*, 27, 33, 35, 37, 43, Example 4, 79 CalcProj13 Summary 10.4 2-4 Thursday, Oct 28 Day 6 9.4 Comparisons of Series (DCT) 620 3, 5*, 9, 11, 15, 17*, 53-59 Direct Comparison Test WS 10.6 9.4 Comparisons of Series (LCT) 620 19, 21, 23, 25, 27, Which test is best for 27-34 Limit Comparison Test WS 10.6 2-5 Monday, Nov 01 Day 2 M Brown In class: 629 10.7 9.5 Alternating Series HW: 629 7, 9*, 17, 21, 23, 27, 31*, 35, 37*, 39, 45, 49* AST ExamplesAST Remainder/Error EstimationAlternating Series Test PracticeCool Fact about conditionally convergent series 10.7 2-6 Wednesday, Nov 03 Day 4 9.6 The Ratio and Root Tests 637 9, 15, 23*, 25, 29, 39*, 41, 43, 87-91 odd, 99 Convergence WSRatio Test Practice 10.8 2-7 Friday, Nov 05 Day 6 F Brown In class: Review of Convergence Tests Absolute vs Conditional Convergence Which Test is Best #1 Which Test is Best #2? Flowchart 1 Flowchart 2 Flowchart 3 HWQ on Ratio/Root Tests 629 Convergence Test Strategy Video 10.7 9.6 The Ratio (and Root) Tests (page 636: Summary of Convergence Tests) 637 23*, 25, 27, 31, 39*-45 odd, 91, 92 Convergence WSRatio Test Practice 10.8 2-8 Tuesday, Nov 09 Day 2 - Gold Preparing for the American Math Competition (AMC10/12) AMC 12 (grades 11 and 12): 1:45-3:00 Wednesday November 10, 2021 Room 107 AMC 10 (grades 9 and 10): 2:45-4:00 Wednesday November 10, 2021 Room 107 Top 5 of each represent St Francis in this national competition. AMC 10 at AoPS AMC 12 at AoPS Quick-Tip Video Playlist 0 Quiz on 9.1-9.6 634-636 Read about strategies for testing a series for convergence or divergence. (ex 5 and the table on 636) 10 2-9 Thursday, Nov 11 Day 4 Overview of Chapter 9: Introduction to Taylor Series Ch 9 at Khan (Stars are interactive exercises, triangles are videos(The Khan iPad App reads math symbols drawn with your finger btw) 10.14 9.7 Intro to Taylor Series 648 17, 21*, 27* TaylorPolynomials1WS.pdf 10.14 Review Convergence Tests (page 636: Summary of Convergence Tests) 680 9, 13, 31, 39, 53-59 odd, 69a Series Test Practice WSSummary by Cal-Tech student Laura Shou 10 2-10 Tuesday, Nov 16 Day 6 Test on Convergence Tests (9.1-9.6) 17Calculus.com Review Has written answers and video explanation 10 2-11 Thursday, Nov 18 Day 2 In class: Go over Test 9A Taylor WS2 Legrange Error (Taylor Theorem) For HW9.7 Taylor Polynomials and Approximations 648 5, 11*, 13*, 17, 24, 35, 39*, 45* Taylor Polynomials 2 WS.pdf Lagrange Remainder WS.pdf 10.11 2-12 Monday, Nov 22 Day 4 - Gold Examples of Taylor Series Questions (∆Math) Taylor Series Practice @ ∆Math 10.13 9.8 Power Series 658 5*, 7, 9, 11*, 19*, 21, 23, 29, 33 Error Bounds In Power Series WS WebWork: Taylor Set 2 10.13 2-13 Monday, Nov 29 Day 6 9.8 Power Series: Intervals of Convergence 659 49, Also 2006 BC 6 and 2008 BC 6 (Form B) 9-8 NotesTheorems 9-8Girardi NotesGottaNo.pdf 10.13 2-14 Wednesday, Dec 01 Day 2 9.9 Representation of Functions by Power Series(p 674 has a nice table) 661 3*, 7, 11, 15*, 19, 23*, 27, 33, 35*, 37, 39, 43 9-9 Notes 10.15 2-15 Friday, Dec 03 Day 4 9.10 Taylor and Maclaurin Series 677 5, 7, 9*, 11, 17*, 29*, 27*, 31, 35, 55, 57, 53 Geogebra: Maclaurin for sin x9.10 Notes 10.14 2-16 Tuesday, Dec 07 Day 6 - Gold Chapter 9 Review Unit 10 Progress Check: MCQ Part C (AP Classroom) (for Test 9B) Unit 10 Progress Check: MCQ Part A, B (for Sem 1 Exam) 680 83, 85, 93, 99 Alternating Series Remainder Practice with hintsFinding Taylor series practice with hintsQuizLet on Maclaurin SeriesQuizLet on Power series 10 2-17 Thursday, Dec 09 Day 2 - Brown Chapter 9B Test Get the KhanApp Chapter 9 Stuff at Khan 10 2-18 Monday, Dec 13 Day 4 - Gold More on power series Khan Assignments: functions as geometric series and power series Lagrange WS3 10.13, 10.15 2-19 Tuesday, Dec 14 Day X Sem 1 Review Class 2-19 at AP Classroom Study GuideGrade Speculation WS from Syllabus Kairos

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