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The aim of this course is to provide an introduction to mathematical modeling of computational problems. It is an undergraduate course. It covers topics such as the common algorithms, algorithmic paradigms, and data structures used to solve these problems. The course emphasizes the relationship between algorithms and programming. In addition to that, it introduces basic performance measures and analysis techniques for these problems.
This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.
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Course Credit: MIT
|Introduction to Algorithms||00:10:00|
|More document distance, mergesort||00:10:00|
|Airplane scheduling, binary search trees||00:10:00|
|Balanced binary search trees||00:20:00|
|Hashing I chaining, hash functions||00:10:00|
|Hashing II table doubling, Karp-Rabin||00:10:00|
|Hashing III open addressing||00:10:00|
|Sorting I heaps||00:10:00|
|Sorting II heaps||00:15:00|
|Sorting III lower bounds, linear-time sorting||00:10:00|
|Sorting IV stable sorting, radix sort||00:10:00|
|Searching I graph search, representations, and applications||00:20:00|
|Searching II breadth-first search and depth-first search||00:10:00|
|Searching III topological sort and NP-completeness||00:10:00|
|Shortest paths I intro||00:15:00|
|Shortest paths II Bellman-Ford||00:10:00|
|Shortest paths III Dijkstra||00:10:00|
|Shortest paths IV Dijkstra speedups||00:10:00|
|Dynamic programming I memoization, Fibonacci, Crazy Eights, guessing||00:10:00|
|Dynamic programming II longest common subsequence, parent pointers||00:10:00|
|Dynamic programming III text justification, parenthesization, knapsack, pseudopolynomial time, Tetris training||00:10:00|
|Dynamic programming IV piano fingering, structural DP (trees), vertex cover, dominating set, and beyond||00:10:00|
|Beyond 6.006 follow-on classes, geometric folding algorithms||00:05:00|
|Submit Your Assignment||00:00:00|
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