Calculus 2 - Geometric Series, P-Series, Ratio Test, Root Test, Alternating Series, Integral Test
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- Опубліковано 30 бер 2018
- This calculus 2 video provides a basic review into the convergence and divergence of a series. It contains plenty of examples and practice problems.
Integral Test For Divergence: • Calculus 2 - Integral ...
Remainder Estimate - Integral Test:
• Remainder Estimate For...
P-Series:
• P-series
Direct Comparison Test:
• Direct Comparison Test...
Limit Comparison Test:
• Limit Comparison Test
_________________________________
Alternating Series Test:
• Alternating Series Test
Alternate Series Estimation Theorem:
• Alternate Series Estim...
Absolute & Conditional Convergence:
• Absolute Convergence, ...
The Ratio Test:
• Ratio Test
The Root Test:
• Root Test
__________________________________
Series Tests - Practice Problems:
• Calculus 2 - Geometric...
Taylor & Maclaurin Polynomials:
• Taylor Polynomials & M...
Taylor's Remainder Theorem:
• Taylor's Remainder The...
Power Series - Interval Convergence:
• Power Series - Finding...
Power Series - Derivatives & Integrals:
• Power Series - Differe...
___________________________________
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1. Divergence Test: 0:21
2. Geometric Series Test: 0:58
3. P-Series Test: 1:51
4. Telescoping Series: 2:33
5. Integral Test: 5:01
6. Ratio Test: 6:12
7. Root Test: 7:14
8. Direct Comparison Test: 8:12
9. Limit Comparison Test: 8:59
10. Alternating Series Test: 10:28
11. Absolute Convergence AND Conditional Convergence: 11:26
12. Practice Problems: 12:41
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Tbf tho actually learning the content vs memorizing the formulas are completely different. As a review tool, this is great but if you get asked a single out-of-the-box question that requires deep knowledge of the topic then just knowing a bunch of formulas isn't gonna give you the intuition to actually unpack any of this. I'm self-studying for BC and I find it helps a lot to watch these vids in tandem with another explanatory resource like Pauls Online or Khan Academy, which usually have intuitive explanations or proofs of each concept.
@@lambda5949 but it means nothing to me whether I memorize the formula or understand the formula, I just need a pass in order to continue my university study which is nothing about maths. It is just silly that my school make maths compulsory even for the history major.
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@@Max-cu6bw Yeah we did all of these with sequences in one lecture
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@@benjaminwhitehead4050 Over here at UT it's the same case lol they treat calc 2 as a weed-out class
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For the example at 35:58, could you also use the direct comparison test to show that the series is convergent?
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