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Algorithms an Introduction. History. This course was first taught in the late 1960s The main principals that maintained the area Find algorithms that are fast for very large inputs Assume a very simple model of a computer
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History • This course was first taught in the late 1960s • The main principals that maintained the area • Find algorithms that are fast for very large inputs • Assume a very simple model of a computer • There are very fast and useful algorithms out there for the finding.
Asymptotic Analysis • We only care about the running time of our algorithm as the size of the input goes to infinity.
The RAM Computer Model • The random-access-machine(RAM) • Single processor • Unit time addressable memory • Unit time multiplication and addition of numbers. ( log n bit numbers)
Amazing Algorithms • Number Theory and cryptography • Primes in P • Linear programming and Business • Computational Geometry and Graphic • Graph Algorithms and • Biology • Internet • Manufacturing
Skills Taught • Proofs of Correctness • Analysis of running times • Decomposition of a larger problem • E.g. using data structures • Classifying different algorithms • Abstract algorithm problem • Search the literature • Demonstrate negative answers