Mark Panaggio

office hours power series

Mark Panaggio

42 geometric series and related power series

Mark Panaggio

50 applications eulers formula

Mark Panaggio

43 Derivation of Taylor series formula

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39 introduction to power series

Mark Panaggio

46 Example taylor series not centered at 0

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44 Taylor series for exponential function

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38 introduction to power series

Mark Panaggio

49 applications understanding number systems as infinite series

Mark Panaggio

47 Taylor series shortcuts

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51 Recap

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40 example finding the interval of convergence

Mark Panaggio

45 Taylor series for sine function

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48 applications estimating pi to arbitrary accuracy

Mark Panaggio

41 examples with infinite or zero radius of convergence

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37 choosing a test

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35 applying the ratio test

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36 applying the root test

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34 introduction to the ratio and root tests

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30 simulating rental cars part 2

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33 random walks in 2d

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35 simulating a retirement portfolio part 2

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32 random walks in 1d

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36 conclusions

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34 simulating a retirement portfolio part 1

Mark Panaggio

29 simulating rental cars

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31 Stochastic SIR model

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26 Introduction to monte carlo simulations

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28 example simulating cards with a monte carlo simulation

Mark Panaggio

25 comparing markov chains and monte carlo simulations

Mark Panaggio