unit 2 - seriES & Convergence
Unit 2 Due Dates
AP Central # 2 - Mar 9th Series Test Foldable & Adobe Spark Project - Mar 10th Adobe Spark Info Google Upload Link - Series Test Project Unit Test 2 - Mar 11th - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Essential Knowledge
(Students will know that …) 4.1A1: The nth partial sum is defined as the sum of the first n terms of a sequence. 4.1A2: An infinite series of numbers converges to a real number (or has sum ), if and only if the limit of its sequence of partial sums exists and equals . 4.1A3: Common series of numbers include geometric series, the harmonic series, and p-series. 4.1A4: A series may be absolutely convergent, conditionally convergent, or divergent. 4.1A5: If a series converges absolutely, then it converges. 4.1A6: In addition to examining the limit of the sequence of partial sums of the series, methods for determining whether a series of numbers converges or diverges are the nth term test, the comparison test, the limit comparison test, the integral test, the ratio test, and the alternating series test. 4.1B1: If is a real number and is a real number such that, then the geometric series. 4.1B2: If an alternating series converges by the alternating series test, then the alternating series error bound can be used to estimate how close a partial sum is to the value of the infinite series. 4.1B3: If a series converges absolutely, then any series obtained from it by regrouping or rearranging the terms has the same value. |
HW Assignment & Extra Practice Problems HW # 1a - Improper Integral - (infinity) HW # 1b - Improper Integral - (asymptote) HW # 2 - Cliff Note Quizzes - Series Review - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Logistic Growth Class Work - Read ALL of the Pages "Popcorn Style" in Sectional Groups = Next Level Example Problems HW # 4a Sequence & Series Quiz # 3 HW # 4b Limit Comparison (converge) HW # 4c - Limit Comparison (diverge) - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - HW # 5 - Geometric Series Class Notes - nth Term Test HW # 6a - Integral Test (converge) HW # 6b - Integral Test (diverge) Class Notes - p - series Test Homework # 1 - Squeeze Theorem Examples = Notes Homework # 2 - Squeeze Theorem Homework # 3 - Squeeze Theorem Example # 3 *** Class Work # 1 - PDF - Part 1 Class Work # 2 - Squeeze Theorem Class Work # 3 - Sandwich Theorem - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - HW # 7a - Alternating Series - Absolute Convergence HW # 7b - Harmonic Series HW # 8 - Alternating Series - Conditional Convergence HW # 9 - Alternating Series (diverge) Alternating Series Activity - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - On - line Review # 1a - Khan Practice Problems On - line Review # 1b - P A R T I N G of the Red "C"'s Examples On - line Review # 2 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - |
Unit 2 & 3 Review
Verbose Explanation - Generating a Power Series
Taylor & Maclaurin - Part 1 - Part 2 - Part 3 - Part 4 - Part 5
On - line Taylor & Maclaurin Practice Problems & Solutions
Taylor Series Practice Game
Converge & Diverge Test - Strategies
Power Point Review of Series Tests
Additional Unit 2 & 3 review material links
On - line Calculus Textbooks & Video Clips
Hollywood Squares Demo
Verbose Explanation - Generating a Power Series
Taylor & Maclaurin - Part 1 - Part 2 - Part 3 - Part 4 - Part 5
On - line Taylor & Maclaurin Practice Problems & Solutions
Taylor Series Practice Game
Converge & Diverge Test - Strategies
Power Point Review of Series Tests
Additional Unit 2 & 3 review material links
On - line Calculus Textbooks & Video Clips
Hollywood Squares Demo
Agenda Changes - due to weather
AP Calculus BC – 4th Period
Mon
Tuesday
Wednesday
Thursday
Friday
AP Calculus BC – 4th Period
Mon
Tuesday
Wednesday
Thursday
Friday