Algorithms: Design and Analysis, Part 1

Tim Roughgarden, Stanford University

In this course you will learn several fundamental principles of algorithm design: divide-and-conquer methods, graph algorithms, practical data structures (heaps, hash tables, search trees), randomized algorithms, and more.

In this course you will learn several fundamental principles of algorithm design. You'll learn the divide-and-conquer design paradigm, with applications to fast sorting, searching, and multiplication. You'll learn several blazingly fast primitives for computing on graphs, such as how to compute connectivity information and shortest paths. Finally, we'll study how allowing the computer to "flip coins" can lead to elegant and practical algorithms and data structures. Learn the answers to questions such as: How do data structures like heaps, hash tables, bloom filters, and balanced search trees actually work, anyway? How come QuickSort runs so fast? What can graph algorithms tell us about the structure of the Web and social networks? Did my 3rd-grade teacher explain only a suboptimal algorithm for multiplying two numbers?

Syllabus

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.

Recommended Background

How to program in at least one programming language (like C, Java, or Python); and familiarity with proofs, including proofs by induction and by contradiction.  At Stanford, a version of this course is taken by sophomore, junior, and senior-level computer science majors. 

Suggested Readings

No specific textbook is required for the course.  Much of the course material is covered by the well-known textbooks on algorithms, and the student is encouraged to consult their favorite for additional information.

Course Format

The class will consist of lecture videos, generally between 10 and 15 minutes in length. These usually integrated quiz questions. There will also be standalone homeworks and programming assignments that are not part of video lectures, and a final exam.

FAQ

  • Will I get a statement of accomplishment after completing this class?

    Yes. Students who successfully complete the class will receive a statement of accomplishment signed by the instructor.

  • What is the format of the class?

    The class consists of lecture videos, which are broken into small chunks, usually between eight and twelve minutes each. Some of these may contain integrated quiz questions. There will also be standalone quizzes that are not part of video lectures. There will be approximately two hours worth of video content per week.

  • What should I know to take this class? How to program in at least one programming language (like C, Java, or Python); familiarity with proofs, including proofs by induction and by contradiction; and some discrete probability, like how to compute the probability that a poker hand is a full house. At Stanford, a version of this course is taken by sophomore, junior, and senior-level computer science majors.
会期:
  • 2015年10月05日, 6 星期
  • 2015年6月29日, 6 星期
  • 2015年1月19日, 6 星期
  • 2014年10月13日, 6 星期
  • 2014年4月28日, 6 星期
  • 2013年7月01日, 6 星期
  • 2013年1月28日, 6 星期
  • 2012年6月11日, 6 星期
  • 2012年3月12日, 5 星期
介绍:
  • 免费:
  • 收费:
  • 证书:
  • MOOC:
  • 视频讲座:
  • 音频讲座:
  • Email-课程:
  • 语言: 英语 Gb

反馈

目前这个课程还没有反馈。您想要留第一个反馈吗?

请注册, 为了写反馈

Show?id=n3eliycplgk&bids=695438
已经在列表:
6-046jf05 Algorithms
Algorithms and data structures from the beginning to advanced analysis.
Introcomplexitylogo Network Science
Networks, graphs etc.
Vyyjayfzd3pynkssdhnqwcrx4bk4ennc1-ren956ujr2e1pya9umefxe-z08yngaz4nptzjr4nqcte0whwul=s0#w=1724&h=1060 Алгоритмизация вычислений
1 курс МИЭМ ВШЭ, 4 кредита
NVIDIA
还有这个题目的:
Mas-865js06 Quantum Information Science
This is an advanced graduate course on quantum computation and quantum information...
6-856jf02 Randomized Algorithms
This course examines how randomization can be used to make algorithms simpler...
6-080s08 Great Ideas in Theoretical Computer Science
This course provides a challenging introduction to some of the central ideas...
Chapter1_final Bioinformatics Algorithms (Part 1)
This course was the first in a two-part series covering some of the algorithms...
81094_d4ff_10 Introduction to Data Structures & Algorithms in Java
Designed to help understand the fundamentals of DS & Algorithms really well...
还有标题«计算机科学»:
695ff980-b45a-425f-bee6-51bf6e962d90-de2d1a1c22e0.small Video Game Design History
Learn about the evolution of video games from experts at The Strong National...
595aa0b6-077d-439b-a651-95a9ee65c51a-fc966dc2648f.small Video Game Design and Balance
Learn about the video game design process and experiment with effective methods...
Fcd236ea-68ae-46f7-b991-849a41cebc64-0ea84acf6bad.small Video Game Asset Creation and Process
Learn about the tools, processes and platforms that allow video game assets...
Regular_7e290d30-8e84-46b2-bf50-801246fb157c Advanced Data Mining with Weka
Learn how to use popular packages that extend Weka's functionality and areas...
Regular_0b883f52-bc27-40f6-b633-d5fa9dd1101a Prepare to Run a Code Club
Build your confidence and get practical advice on launching and running a Code...
还有Coursera:
Success-from-the-start-2 First Year Teaching (Secondary Grades) - Success from the Start
Success with your students starts on Day 1. Learn from NTC's 25 years developing...
New-york-city-78181 Understanding 9/11: Why Did al Qai’da Attack America?
This course will explore the forces that led to the 9/11 attacks and the policies...
Small-icon.hover Aboriginal Worldviews and Education
This course will explore indigenous ways of knowing and how this knowledge can...
Ac-logo Analytic Combinatorics
Analytic Combinatorics teaches a calculus that enables precise quantitative...
Talk_bubble_fin2 Accountable Talk®: Conversation that Works
Designed for teachers and learners in every setting - in school and out, in...

© 2013-2019