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Mentoring students through Critical Transition Points. Lessons Learned. Benefits.

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Administrative support is crucial! Secretarial support. ◦ W9s, waivers, created reqs, reserving rooms, reviewing applications, details all over the place! Departmental support… Two differing unyielding bureaucracies! FIND ADVOCATES! BELIEVE IN THE PROJECT!!

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Students truly touched and inspired. Other faculty may be motivated. ◦ Honeywell internship. ◦ Robotics. ◦ AMP grant. I get challenged by the best and brightest students!

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Mathematical Biology. ◦ Disease vectors ◦ Cancer growth ◦ Bone growth 3d simulations and animations using maple Abstract algebra applied to the real world. Algorithmic solutions to mathematical problems.

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MCTP Module Roberto Ribas

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Many important mathematics problems can ONLY be solved with algorithms. Many problems are easier to solve with algorithms than with “regular” math. Algorithms can verify a solution found traditionally

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Largest prime number ◦ Dr. Curtis Cooper of UCM recently found it! (He has had it twice before…) ◦ Uses all of the campus computers after people log off to search. ◦ 10,000 th prime #. (Had to leave the computer running for 30 hours to get it!)

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You have $10 to gamble on a fair coin toss, and you must bet the same percent of your money on every toss. If you fall below $0.01 you are eliminated from playing. If your money goes over $1 million you stop. What percent should you bet to maximize your chance of making $1 million?

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A simulation can double check a mathematical solution. ◦ Famous mars lender crash that flew the exact path it was programmed to fly. ◦ Radar tracking mode, one team had worked in meters, the other in feet… missile missed every target!

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Three doors, one has a prize behind it. You pick a door. Host opens one of the other doors, then asks, “do you want to keep the door you have, or switch to the remaining door?” Should you stay? Switch? Or are they the same?

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http://marilynvossavant.com/game-show- problem/ http://marilynvossavant.com/game-show- problem/ Multiple PhD’s in mathematics wrote in, with some condescending and wrong replies!

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If you flip coins, which sequence are you likely to see first, or are they equally likely? HHT or THH ? Extension: given any two patterns of coins, find the probability of which will occur first.

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15-251 Great Theoretical Ideas in Computer Science.

15-251 Great Theoretical Ideas in Computer Science.

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