算法设计与分析 Design and Analysis of Algorithms from Coursera

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Syllabus

算法基础

先通过几个典型的例子阐述算法设计与分析课程的学习内容及重要意义，接着介绍与算法有关的基本概念，如算法的伪码描述、时间复杂度函数的表示方法和一些常用的时间复杂度函数。

序列求和与递推方程

介绍在算法分析中所需要的一些数学基础知识，如与程序迭代有关的序列求和公式，在估计递归计算工作量时常用的递推方程及其求解方法等。

分治算法的设计与分析

分而治之是一种常用的算法设计技术。主要思想是将原始问题分解成若干个规模较小的独立的子问题，接着分别求解每个子问题，最后再将子问题的解综合以得到原始问题的解。通过本周的学习，你将了解分治算法的使用条件、主要的设计步骤、递归的实现技术、时间复杂度的分析方法、提高算法效率的途径等重要问题。

分治算法的典型应用

在对分治算法有了基本的认识以后，进一步介绍一些典型的分治算法的成功案例，包括各种选择算法、涉及信号降噪处理的卷积计算与快速傅立叶变换、涉及图形学的平面点集凸包的计算等。

动态规划算法

动态规划是另一种常用的算法设计技术。首先通过矩阵相乘的例子介绍动态规划算法的设计思想、主要步骤、分析方法、迭代实现与存储表示等。然后通过投资、背包、最长公共子序列等典型问题展现不同的动态规划算法在子问题划分与迭代计算时的特点和提高算法效率的技巧。

动态规划算法的典型应用

在对动态规划算法有了基本认识之后，进一步介绍运用动态规划算法的一些成功案例，如用于黑白图片存储的变位压缩算法、最大子段和的计算、最优二分检索树的构造以及生物信息学中的RNA二级结构预测和序列比对算法等。

贪心法的设计

贪心法是处理组合优化问题的常用算法。通过几个典型例子说明了贪心法的设计思想，同时重点阐述了贪心策略正确性的证明方法。针对某些不能保证对所有的输入都得到最优解的贪心策略讨论了其适用范围。

贪心算法的典型应用

给出了贪心法应用的一些成功案例，如与最优前缀码设计有关的哈夫曼算法、应用广泛的最小生成树Prim算法和Kruskal算法、在网络路由中寻找单源最短路径的Dijkstra算法等。

回溯算法的设计思想

回溯算法是一种基本的搜索技术，通过n后放置、0-1背包、货郎旅行、图的着色等问题介绍了回溯算法的设计思想、适用条件和实现方法，并给出了估计算法运行时间的一种抽样方法。

回溯算法的典型应用

介绍提升回溯算法搜索效率的分支限界技术，给出求解最大团、货郎、圆排列、邮票设计等回溯算法的典型应用实例。

期末考试

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An entry-level course for computer science learners who plan to continue their studies in computer science, software engineering, or data science

Content is broken down into real-world applicable skills like management, analysis, optimization and search techniques

Reviews summary

Highly recommended algorithms course

This course is highly recommended by students, who describe it as the best algorithms course they have taken. The instructor is praised for their teaching skills and the course content is said to be well-structured and engaging. Students report that they learned a lot and would highly recommend this course to others.

屈老师非常棒！

"最好的算法课了，屈老师非常棒！"

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in 算法设计与分析 Design and Analysis of Algorithms with these activities:

Read 'Algorithm Design Manual' by Steven Skiena

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Reinforce your understanding of algorithm design principles and techniques through a comprehensive book

View Desafíos de programación: El manual de... on Amazon

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Obtain a copy of the book, either physically or digitally
Set aside dedicated time for reading and studying the book
Take notes, highlight important concepts, and work through the examples provided
Apply the techniques learned in the book to your own projects and assignments

Form a study group with classmates to discuss algorithms and solve problems together

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Enhance your understanding and collaboration skills by forming a study group with classmates

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Identify classmates who are interested in forming a study group
Determine a regular meeting schedule and location
Prepare for each session by reviewing the assigned material and identifying topics for discussion
Actively participate in discussions, ask questions, and share your insights
Work together on solving problems and assignments

Attend a workshop on algorithm analysis and design

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Gain practical insights and learn from experts by attending a workshop on algorithm analysis and design

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Research and find workshops that align with your learning goals
Register for the workshop and make necessary arrangements
Attend the workshop actively, taking notes and engaging in discussions
Apply the knowledge and techniques learned in the workshop to your own projects

Four other activities

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Follow tutorials for algorithm analysis techniques

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Enhance your understanding of algorithm analysis techniques through guided tutorials, solidifying your knowledge

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Identify reputable sources for tutorials, such as Coursera, edX, or YouTube channels like Khan Academy
Review the course syllabus and identify specific topics you need to strengthen
Find tutorials that align with those topics and start working through them
Take notes and actively engage with the material, pausing to reflect and practice
Complete the exercises and assignments associated with the tutorials

Solve algorithm problems on platforms like LeetCode or HackerRank

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Refine your problem-solving and coding skills by practicing algorithm problems on online platforms

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Create an account on a platform like LeetCode or HackerRank
Start with easier problems and gradually increase the difficulty as you progress
Analyze the problem statements carefully and identify the key concepts and techniques involved
Develop and implement efficient algorithms to solve the problems
Review your solutions and identify areas for improvement

Develop an algorithm for a specific problem

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Strengthen your problem-solving skills and understanding of algorithm design by creating an algorithm for a real-world problem

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Identify a problem that can be solved using an algorithm, such as finding the shortest path in a graph or sorting a list of numbers
Research different algorithm design techniques and select the most appropriate one
Implement the algorithm in a programming language of your choice, ensuring efficiency and accuracy
Test the algorithm thoroughly using a variety of inputs to ensure its correctness and performance
Document your algorithm and its implementation, including a detailed explanation of your approach and any challenges you faced

Create a blog or vlog to share your learnings and insights on algorithms

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Solidify your understanding by teaching others, improve your communication skills, and contribute to the community

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Identify the topics you want to cover, focusing on areas where you have strong knowledge
Choose a platform for your blog or vlog, such as WordPress, Medium, or YouTube
Create high-quality content that is informative, engaging, and accessible to your target audience
Promote your blog or vlog through social media and other channels
Interact with your audience, respond to comments, and continue to grow your knowledge base

Career center

Learners who complete 算法设计与分析 Design and Analysis of Algorithms will develop knowledge and skills that may be useful to these careers:

Machine Learning Engineer

Machine Learning Engineers design, develop, and maintain machine learning models. This course provides a solid foundation in algorithm design, optimization techniques, and computational complexity, which are essential for building efficient and effective machine learning models. By understanding the principles of algorithmic efficiency and optimization, Machine Learning Engineers can create models that can learn from data quickly and accurately.

See salaries and explore the career path for Machine Learning Engineer

Software Engineer

Software Engineers design, develop, test, and maintain software applications. This course provides a solid foundation in algorithm design and analysis, which is crucial for developing efficient and reliable software. By understanding the principles of algorithmic efficiency, data structures, and optimization techniques, Software Engineers can create high-performing software that meets the needs of users.

See salaries and explore the career path for Software Engineer

Computer Scientist

Computer Scientists design and develop computer software and systems. This course provides a solid foundation in algorithm design, optimization techniques, and computational complexity, which are essential for developing efficient and effective software and systems. By understanding the principles of algorithmic efficiency and optimization, Computer Scientists can create software and systems that can perform complex tasks quickly and accurately.

See salaries and explore the career path for Computer Scientist

Operations Research Analyst

Operations Research Analysts use mathematical and statistical modeling techniques to solve complex business problems. This course provides a strong foundation in algorithm design, optimization techniques, and computational complexity, which are essential for developing efficient and effective operations research models. By understanding the principles of algorithmic efficiency and optimization, Operations Research Analysts can create models that can help businesses make better decisions.

See salaries and explore the career path for Operations Research Analyst

Data Scientist

Data Scientists use data analysis and machine learning techniques to extract insights from data. This course provides a strong foundation in algorithmic efficiency and computational complexity, which is essential for designing efficient data analysis and machine learning algorithms. By understanding how different algorithms perform under different conditions, Data Scientists can make informed decisions about which algorithms to use for specific data analysis tasks.

See salaries and explore the career path for Data Scientist

Computer Vision Engineer

Computer Vision Engineers design and develop algorithms for computer vision applications, such as image processing, object recognition, and facial recognition. This course provides a strong foundation in algorithm design, optimization techniques, and computational complexity, which are essential for developing efficient and accurate computer vision algorithms. By understanding the principles of algorithmic efficiency and optimization, Computer Vision Engineers can create models that can process and analyze images and videos quickly and accurately.

See salaries and explore the career path for Computer Vision Engineer

Natural Language Processing Engineer

Natural Language Processing Engineers design and develop algorithms for natural language processing tasks, such as machine translation, text classification, and sentiment analysis. This course provides a strong foundation in algorithm design, optimization techniques, and computational complexity, which are essential for developing efficient and accurate natural language processing algorithms. By understanding the principles of algorithmic efficiency and optimization, Natural Language Processing Engineers can create models that can process and analyze text data quickly and accurately.

See salaries and explore the career path for Natural Language Processing Engineer

Quantitative Analyst

Quantitative Analysts combine statistical modeling, programming, and problem-solving skills to help companies make informed decisions. This course in Algorithm Design and Analysis helps build a foundation for developing and analyzing the complex models used in this role. Understanding algorithmic efficiency, computational complexity, and optimization techniques is essential for developing accurate and efficient models that can produce meaningful insights for businesses.

See salaries and explore the career path for Quantitative Analyst

Information Security Analyst

Information Security Analysts design and implement security measures to protect computer systems and networks from unauthorized access and attacks. This course provides a strong foundation in algorithm design, optimization techniques, and computational complexity, which are essential for developing efficient and effective security measures. By understanding the principles of algorithmic efficiency and optimization, Information Security Analysts can create security measures that can protect computer systems and networks from attack.

See salaries and explore the career path for Information Security Analyst

Actuary

Actuaries use mathematical and statistical modeling techniques to assess risk and uncertainty. This course provides a strong foundation in algorithm design, optimization techniques, and computational complexity, which are essential for developing efficient and accurate actuarial models. By understanding the principles of algorithmic efficiency and optimization, Actuaries can create models that can help them assess risk and make better decisions.

See salaries and explore the career path for Actuary

Financial Analyst

Financial Analysts use financial modeling and analysis techniques to make investment decisions. This course provides a solid foundation in algorithm design, optimization techniques, and computational complexity, which are essential for developing efficient and accurate financial models. By understanding the principles of algorithmic efficiency and optimization, Financial Analysts can create models that can help them make better investment decisions.

See salaries and explore the career path for Financial Analyst

Statistician

Statisticians use statistical modeling and analysis techniques to extract insights from data. This course provides a strong foundation in algorithm design, optimization techniques, and computational complexity, which are essential for developing efficient and accurate statistical models. By understanding the principles of algorithmic efficiency and optimization, Statisticians can create models that can help them make better decisions.

See salaries and explore the career path for Statistician

Game Developer

Game Developers design and develop video games. This course provides a solid foundation in algorithm design, optimization techniques, and computational complexity, which are essential for developing efficient and engaging video games. By understanding the principles of algorithmic efficiency and optimization, Game Developers can create video games that can run smoothly and provide an enjoyable gaming experience.

See salaries and explore the career path for Game Developer

Technical Writer

Technical Writers create technical documentation, such as user manuals, white papers, and training materials. This course may be useful for developing the technical writing skills needed to create clear and concise technical documents. Understanding algorithmic concepts and computational complexity can help Technical Writers explain complex technical concepts in a way that is easy to understand.

See salaries and explore the career path for Technical Writer

Product Manager

Product Managers are responsible for the planning, development, and marketing of products. This course may be useful for developing the analytical and decision-making skills needed to be a successful Product Manager. Understanding algorithmic efficiency, computational complexity, and optimization techniques can help Product Managers make informed decisions about product features and functionality.

See salaries and explore the career path for Product Manager

算法设计与分析 Design and Analysis of Algorithms

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Highly recommended algorithms course

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