Chapter 10 Videos – Series2018-01-01T17:02:21+00:00

Chapter 10 Videos – Sequences and Series – Updated 1-2-2018

The table below contains links to video tutorials from Khan Academy, Just Math Tutorials (aka PatrickJMT.com) and Krista King’s YouTube Channel (also kristakingmath.com).

Just Math Tutorials (PatrickJMT.com)Khan Academy Calculus (khanacademy.com)Krista King Calculus (kristakingmath.com)
FactorialsMaclauren and Taylor SeriesTerms of a sequence
What is a Sequence?Cosine Taylor Series at 0 (Maclaurin)Formula for a sequence
Geometric Sequences - IntroSine Taylor Series at 0 (Maclaurin)Sequence converge or diverge?
Geometric Sequences: nth TermTaylor Series at 0 (Maclaurin) for e^xIncreasing, decreasing and non-monotonic sequences
Sequences – Convergence or DivergencePower Series by IntegrationBounded sequences
Summation Notation Visualizing Taylor Series ApproximationsSum of the sequence of partial sums
What is a Series?Generalized Taylor Series Approximationsnth term test - divergence
Series Diverges using Partial SumsMaclaurin Series based upon cos xGeometric convergence and divergence
Geometric Series - Testing for Divergence 1Visualizing Taylor Series for e^xGeometric convergence and divergence
Geometric Series - Testing for Divergence 2 Evaluating Taylor Polynomial of derivativeConvergence and sum of a geometric series 1
Geometric Series: Expressing a Decimal as a Rational NumberError or Remainder of a Taylor Polynomial ApproximationConvergence and sum of a geometric series 2
Telescopic Series Example Proof: Bounding the Error or Remainder of a Taylor Polynomial ApproximationConvergence and sum of a geometric series 3
Integral TestPolynomial approximation of functions 1Convergence of a telescopic series
Limit Comparison Test and Direct Comparison Test 1 Polynomial approximation of functions 2Sum of a telescopic series
Limit Comparison Test and Direct Comparison Test 2Polynomial approximation of functions 3p-series test
Remainder Estimate for the Integral TestPolynomial approximation of functions 4How to use the Integral Test
Alternating SeriesPolynomial approximation of functions 5Limit Comparison test
Alternating Series: More ExamplesPolynomial approximation of functions 6Estimating Error/Remainder of a series
Alternating Series Estimation TheoremPolynomial approximation of functions 7Alternating Series Test
Ratio Test for Series 1Taylor PolynomialsAlternating Series Error
Ratio Test for Series 2Ratio Test 1
Absolute and Conditional Convergence and DivergenceRatio Test 2
Strategy for Testing Series – Practice ProblemsAbsolute and Conditional Convergence
Power Series: Finding the Interval of ConvergenceRadius of Convergence
Power Series: Finding the Interval of ConvergenceInterval of Convergence 1
Radius of Convergence for a Power SeriesInterval of Convergence 2
Power Series Representation of a FunctionPower Series Multiplication
Power Series: Differentiating and Integrating Create a Power Series by Multiplication
Power Series: Multiplying and DividingPower Series Differentiation
Taylor and Maclaurin Series 1Radius of Convergence of a Taylor Series
Taylor and Maclaurin Series 2Maclaurin Series Radius of Convergence
Taylor/Maclaurin Series for Sin (x)Use a Maclaurin Series to approximate a Definite Integral
Taylor’s InequalityUse a Maclaurin Series to approximate a Limit
Maclaurin/Taylor Series: Approximate a Definite Integral to a Desired Accuracy