Mark Panaggio

office hours power series

42 geometric series and related power series

50 applications eulers formula

43 Derivation of Taylor series formula

39 introduction to power series

46 Example taylor series not centered at 0

44 Taylor series for exponential function

38 introduction to power series

49 applications understanding number systems as infinite series

47 Taylor series shortcuts

51 Recap

40 example finding the interval of convergence

45 Taylor series for sine function

48 applications estimating pi to arbitrary accuracy

41 examples with infinite or zero radius of convergence

37 choosing a test

35 applying the ratio test

36 applying the root test

34 introduction to the ratio and root tests

30 simulating rental cars part 2

33 random walks in 2d

35 simulating a retirement portfolio part 2

32 random walks in 1d

36 conclusions

34 simulating a retirement portfolio part 1

29 simulating rental cars

31 Stochastic SIR model

26 Introduction to monte carlo simulations

28 example simulating cards with a monte carlo simulation

25 comparing markov chains and monte carlo simulations