Class | Date | Schedule | Topic | Page | Exercises | Links | Unit |

2-1 | Tuesday, Oct 17 | Day 4 - Gold | |||||

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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 | 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.pdf Ch 9.1 Slides pdf of slides | 10.1 | |||

2-2 | Thursday, Oct 19 | Day 6 - Gold | Junior Retreat Oct 18-20 | 3.2 | |||

9.1 Bounded Monotonic Th | 597 | 61, 62, 63, | 10.1 | ||||

- Why study series?
- 9.2 Series and Convergence
- Geometric Series
- Limit of nth term of a Convergent Series Th,
- nth term test for Divergence
- ∆Math Lab 2-1 (9.1-9.2)
| 605 | Optional 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 Divergence | 605 | 14, 18, 61, 62, 65 | Orders of Growth Poster Order of Magnitude WS 17Calculus | 10.1 | |||

2-3 | Monday, Oct 23 | Day 2 - Gold | Convergence Tests Continue.... In class: - Proofs that the Harmonic Series Diverges:
- Slides :Geometric, nth term, Integral Test, p test (92.-9.3 pdf) (keynote)
For HW - Textbook Problems
- ∂Math Lab 2-3: Integral Tests
| - Convergence Test Table 1
- Convergence Table 2
- n-term Div from former 17Calc
- Geometric Series @17Calc
- p-series @17Calc
- Integral Test from former 17Calc
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Reminder: Tuesday Oct 24, 2023 is PSAT EXAM DAY on campus, No Senior classes. | 0 | ||||||

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 26 | Day 4 F Gold | In class:- FRQ Quiz on n-th term, p-series, geometric, and Integral tests.
- Direct Comparison Test (DCT)
- Limit Comparison Test (LCT)
- DCT from former@ 17Calc
- LCT from former 17Calc
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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, Oct 30 | Day 6 - Gold | In class:
for HW
- Textbook Exercises
- ∆Math Lab: LCT/AST
| 629 | 10.7 | ||

9.5 Alternating Series | 629 | 7, 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 | |||

2-6 | Wednesday, Nov 01 | Day 2 M Gold | 9.6 The Root Test, the Ratio Test, and Intervals of Convergence
In class - Q 2-4 redo
- page 9-13
- Ratio Test @ 17 Calc
- Textbook problems
- Lab 2-3: Ratio Test
| 637 | 9, 15, 23*, 25, 29, 39*, 41, 43, 87-91 odd, 99 | Convergence WS Ratio Test Practice | 10.8 |

2-7 | Friday, Nov 03 | Day 4 F Gold | 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
- Ch 9 MC Practice with answers
| 629 | Convergence Test Strategy Video | 10.7 | |

Summary of Convergence Tests (p 636) | 637 | 23*, 25, 27, 31, 39*-45 odd, 91, 92 | Convergence WS Ratio Test Practice | 10.8 | |||

Review Convergence Tests (page 636: Summary of Convergence Tests) | 680 | 9, 13, 31, 39, 53-59 odd, 69a | Series Test Practice WS Summary by Cal-Tech student Laura Shou | 10 | |||

2-8 | Tuesday, Nov 07 | Day 6 - Gold | 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 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 | ||||||

2-10 | Tuesday, Nov 14 | Day 4 - Gold | American 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 | |

2-11 | Thursday, Nov 16 | Day 6 - Gold | Reminder: Parent-Teacher Conferences Monday Nov 20, 2023. | 0 | |||

In class:
- Go over Test 9A
- ∆Math Examples of Maclauren and Taylor series
- Taylor WS 1
- Textbook Problems
- Practice Taylor Series (∆Math)
| 648 | 5, 11*, 13*, 17, (24), (35), 39*, 45* | Taylor Polynomials 2 WS.pdf Lagrange Remainder WS.pdf | 10.11 | |||

2-12 | Monday, 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- Examples of Taylor Series Questions (∆Math)
- HWQ 2-12 (∆Math)
- Taylor WS 1
- Taylor Polynomials 2 WS.pdf
- Legrange Error (Taylor Theorem)
- Error Bounds In Power Series WS
- Textbook Exercises
- BC Lab: Taylor 2 @ ∆Math
| 10.13 | ||||||

9.7 Intro to Taylor Series | 648 | 17, 21*, 27* | TaylorPolynomials1WS.pdf | 10.14 | |||

9.8 Power Series | 658 | 5*, (7), 9, 11*, 19*, 21, (23), 29, 33 | 10.13 | ||||

2-13 | Monday, Nov 27 | Day 4 - Gold | More on Lagrange (Taylor Remainder) | Khan Assignments: functions as geometric series and power series | Lagrange WS3 | 10.13, 10.15 | |

In cleass
- HWQ 2-13(∆Math)
- 9.8 Power Series: Intervals of Convergence
- 9.9 Representation of Functions by Power Series
- Textbook exercises
- BC Lab: Power Series (∆ Math)
| 659 | 49, 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) | 661 | 3*, 7, (11), 15*, (19), 23*, 27, (33), 35*, 37, (39) | 9-9 Notes | 10.15 | |||

2-14 | Wednesday, Nov 29 | Day 6 - Gold | 9.10 Taylor and Maclaurin Series | 677 | 5, 7, 9*, 11, 17*, 29*, 27*, 31, 35, 55, 57, 53 | Geogebra: Maclaurin for sin x 9.10 Notes | 10.14 |

2-15 | Friday, Dec 01 | Day 2 F Gold | Chapter 9 Review
In class
for HW
- p 680 from Text Book
- Error Bound HW (1-9)
(Here are answers to check your work)
| 680 | 83, 85, 93, 99 | Alternating Series Remainder Practice with hints Finding Taylor series practice with hints QuizLet on Maclaurin Series QuizLet on Power series | 10 |

2-16 | Tuesday, Dec 05 | Day 4 - Gold | Chapter 9B Review
- Gotta No
- Fill in version
- Ch 9 MC Practice with answers
| Get the KhanApp Chapter 9 Stuff at Khan | 10 | ||

2-17 | Thursday, Dec 07 | Day 6 - Gold | Chapter 9B Test | Get the KhanApp Chapter 9 Stuff at Khan | 10 | ||

2-18 | Monday, Dec 11 | Day 2 - Gold | Chapter 9 Review
- Unit 10 Progress Check: MCQ Part A, B, C (AP Classroom)
- 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 | ||

2-19 | Tuesday, Dec 12 | Day X X Brn/Gld | Sem 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 Classroom | Study Guide Grade Speculation WS from Syllabus | ||||||

Semester Exam is on Friday December 15, 2023 | Semester 1 Exam Study Guide | 0 |

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