Linear algebra tricks for the Putnam - MIT UMA Putnam Talk.Determinants: Evaluation and Manipulation - MIT UMA Putnam Talk.Roots of unity, integer divisibility, intermediate value theorem, Lagrange interpolation, Chebyshev polynomials, irreducibility criteria, and Rouché’s theorem. Polynomials - Canadian 2008 Summer TrainingĪdvanced techniques in polynomials.
Inequalities - Canadian 2008 Winter TrainingĬontains a short essay discussing the IMO 2001 inequality. Integer polynomials, including various irreducibility criteria. Integer Polynomials - MOP 2007 Black group. If you don’t know where to start, I recommend Cyclic Quadrilaterals-The Big Picture and Three Lemmas in Geometry. Here are some of my handouts and training material. I have taught classes at various math olympiad training programs. Handouts from Canadian IMO Training camps. Discuss shooter game strategies with friends. Compete in weekly events for legendary rewards!. Upgrade your towers, barricades and weapons to defend your military base against the undead. Collect gold and other rewards to build better defenses in your shelter. From the massive titans, to the devastating wreckers, these mutated monstrosities will pose a great risk to the survival of your troops. Zombies with a multitude of abilities threaten your squad’s safety. Enjoy accurate infrared night vision and challenging first person shooter combat scenarios from the seat of your AC-130 Gunship. Choose the right troops for the mission from the available classes: Assault, Scout, Demolitioner, and Sniper. Plan your mission before deploying your troops to achieve maximum efficiency 
Provide air support and protect your troops from hordes of zombies. Your towers and walls will keep the dead at bay while you rain hellfire from above. If it is to have a chance of standing against the endless waves of zombies, you will need to upgrade your buildings and defenses. Your base of operations is the heart of the survivors’ enclave. Collect realistic weapons and increase their power to obliterate your enemies from above. You’ll need a varied arsenal to deal with them properly, Airman. 
The dead have mutated, morphed into powerful monstrosities. Blast them to pieces and lead your men to victory, soldier. Take flight in the AC-130 gunship and protect your troops from the undead. You are the Airman, one of the last surviving people on Earth.
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