AP Calculus BC > Unit 9: Sequences & Series
Schedule of Topics:| Day | Topic | | 1 | Sequences | | 2 | Series: Arithmetic, Geometric, Harmonic, and p-series | | 3 | Integral Test | | 4 | Direct Comparison & Limit Comparison Tests | | 5 | Review of Integral Test, DCT, LCT | | 6 | Quiz | | 7 | Alternating Series Test, Absolute & Conditional Convergence | | 8 | Ratio Test | | 9 | Review | | 10 | Quiz II | | 11 | Power Series | | 12 | Taylor Series: MacLauren Series | | 13 | Taylor Series II | | 14 | Lagrange Error Bound | | 15 | Lagrange II | | 16 | Series AP MC Problems | | 17 | Series Free Response Questions | | 18 | Unit Exam |
- VIDEO: Sequences, Convergence and Divergence
- VIDEO: Integral Test - Basic Idea
- VIDEO: Integral Test with u-substitution (example)
- VIDEO: DCT & LCT - Basic Idea
- VIDEO: DCT & LCT (examples)
- VIDEO: Proof of the Limit Comparison Test
- VIDEO: Proof of the Alternating Series Test
- VIDEO: Power Series Interval of Convergence (example)
- VIDEO: Taylor Series Formula (concept)
- VIDEO: Maclauren Series (example)
- VIDEO: Taylor Series (example)
- VIDEO: Mind Blowing Alternating Series Discussion. Is it 0, 1, 1/2?
- Proof of the Ratio Test (not a video)
- PICTURE: Convergence Tests Flowchart
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