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Algorithms: Design and Analysis, Part 1
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教学大纲
Week 1: Introduction. Asymptotic analysis including big-oh notation. Divide-and-conquer algorithms for sorting, counting inversions, matrix multiplication, and closest pair.
Week 2: Running time analysis of divide-and-conquer algorithms. The master method. Introduction to randomized algorithms, with a probability review. QuickSort.
Week 3: More on randomized algorithms and probability. Computing the median in linear time. A randomized algorithm for the minimum graph cut problem.
Week 4: Graph primitives. Depth- and breadth-first search. Connected components in undirected graphs. Topological sort in directed acyclic graphs. Strongly connected components in directed graphs.
Week 5: Dijkstra's shortest-path algorithm. Introduction to data structures. Heaps and applications.
Week 6: Further data structures. Hash tables and applications. Balanced binary search trees.
Week 2: Running time analysis of divide-and-conquer algorithms. The master method. Introduction to randomized algorithms, with a probability review. QuickSort.
Week 3: More on randomized algorithms and probability. Computing the median in linear time. A randomized algorithm for the minimum graph cut problem.
Week 4: Graph primitives. Depth- and breadth-first search. Connected components in undirected graphs. Topological sort in directed acyclic graphs. Strongly connected components in directed graphs.
Week 5: Dijkstra's shortest-path algorithm. Introduction to data structures. Heaps and applications.
Week 6: Further data structures. Hash tables and applications. Balanced binary search trees.
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讲师
- Tim Roughgarden - Computer Science
编辑
利兰-斯坦福大学(Leland Stanford Junior University),简称斯坦福大学,是一所美国私立大学,位于旧金山南部的硅谷。
其校训是 "Die Luft der Freiheit weht",意为 "自由之风拂面"。
在大多数国际排名中,斯坦福大学都名列世界顶尖大学之列,享有极高的声誉。
平台
Coursera是一家数字公司,提供由位于加利福尼亚州山景城的计算机教师Andrew Ng和达芙妮科勒斯坦福大学创建的大型开放式在线课程。
Coursera与顶尖大学和组织合作,在线提供一些课程,并提供许多科目的课程,包括:物理,工程,人文,医学,生物学,社会科学,数学,商业,计算机科学,数字营销,数据科学 和其他科目。
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