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Series 06, Ruth Dover
Series 06, Ruth Dover
Series
More manipulation of series – substitution, differentiation, and integration.
Alternating Series 1, Ruth Dover
Series 09, Ruth Dover
Series 09, Ruth Dover
Series
Practice using series to evaluate limits and definite integrals.
Series 02, Ruth Dover
2. Geometric Series, Ruth Dover
Series 04, Ruth Dover
Series 04, Ruth Dover
Series
A closer examination of y = cosx and y = sinx, including error estimation.
Series 01, Ruth Dover
Series 01, Ruth Dover
Series
Asks students to create a polynomial function for y = ln(1 + x), extends the polynomial to a series, examines the interval of convergence and error.
Series 03, Ruth Dover
Series 05, Ruth Dover
Series 05, Ruth Dover
Series
Popular Maclaurin series and using substitution to create new series.
Approximating Alternating Series, Ruth Dover
Approximating Alternating Series, Ruth Dover
Series
Error bounds with alternating series.
4. Integral Test For Series, Ruth Dover
4. Integral Test For Series, Ruth Dover
Series
Relating Riemann sums and series – requiring a lot of teacher help!
Taylor Review, Ruth Dover
2015: "Go With The Flow", Paul Nebres '16, Kushagra Gupta '16, Jason Chen '16, Noor Michael '16
2015: "Go With The Flow", Paul Nebres '16, Kushagra Gupta '16, Jason Chen '16, Noor Michael '16
Distinguished Student Work
In a famous incident in August 2010, a Chinese traffic jam stretched for over 100 kilometers and stranded drivers took over two weeks to get from one side to the other. Stemming from a routine lane closure for road maintenance, the traffic jam soon spiraled out of control, as cars piling up at the jam greatly outnumbered those leaving the other end. Sadly, in todays overpopulated world, these sorts of nightmare scenarios are only becoming more and more common, from chronic traffic jams in congested Chinese cities to Carmageddon in Los Angeles. For drivers, these extensive traffic jams can be …
2015: "No Safety, Know Pain : Know Safety, No Pain", Brice Wang '16, Joy Qiu '16, Daniel Sohn '16, Angad Garg '16
2015: "No Safety, Know Pain : Know Safety, No Pain", Brice Wang '16, Joy Qiu '16, Daniel Sohn '16, Angad Garg '16
Distinguished Student Work
In the world we live in today, many people live in urban or suburban areas. For this reason, residents of these metropolitan areas should be aware of the safety of the city they live in so they can take necessary precautions and educate youth about what actions are safe. In addition, judging the safety of a city allows the government of the city to analyze what factors and laws make other cities safer, and how they can replicate these conditions to make their city a safer place as well.