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Overview MCTP project. Mentoring students through Critical Transition Points. Lessons Learned. Benefits. Lessons Learned!. Administrative support is crucial! Secretarial support. W9s, waivers, created reqs , reserving rooms, reviewing applications, details all over the place!
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Overview MCTP project • Mentoring students through Critical Transition Points. • Lessons Learned. • Benefits.
Lessons Learned! • 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!!
Benefits • Students truly touched and inspired. • Other faculty may be motivated. • Honeywell internship. • Robotics. • AMP grant. • I get challenged by the best and brightest students!
MCTP modules • 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.
Solving math problems Algorithmically MCTP Module Roberto Ribas
Why Algorithmns? • 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
Only with Algorithms • 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. • 10,000th prime #. (Had to leave the computer running for 30 hours to get it!)
Easier to Solve • 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?
Double check! • 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!
Monte Hall Problem. • 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?
Monte Hall • http://marilynvossavant.com/game-show-problem/ • Multiple PhD’s in mathematics wrote in, with some condescending and wrong replies!
One for you: • 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.