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Daniel Kane, Alexander S. Kulikov, Michael Levin, Pavel Pevzner, and Neil Rhodes

In this course, part of the Algorithms and Data Structures MicroMasters program, you will learn basic algorithmic techniques and ideas for computational problems, which arise in practical applications such as sorting and searching, divide and conquer, greedy algorithms and dynamic programming.

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In this course, part of the Algorithms and Data Structures MicroMasters program, you will learn basic algorithmic techniques and ideas for computational problems, which arise in practical applications such as sorting and searching, divide and conquer, greedy algorithms and dynamic programming.

This course will cover theories, including:

  • how to sort data and how it helps for searching;
  • how to break a large problem into pieces and solve them recursively;
  • when it makes sense to proceed greedily;
  • how dynamic programming is used in genomic studies.

You will practice solving computational problems, designing new algorithms, and implementing solutions efficiently (so that they run in less than a second).

What you'll learn

  • Essential algorithmic techniques - greedy algorithms, divide and conquer, binary search, sorting, dynamic programming
  • Best practices of implementing algorithms efficiently
  • Ways of testing and debugging programs

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What's inside

Learning objectives

  • Essential algorithmic techniques - greedy algorithms, divide and conquer, binary search, sorting, dynamic programming
  • Best practices of implementing algorithms efficiently
  • Ways of testing and debugging programs

Syllabus

Module 1: Welcome Here we will provide an overview of where algorithms and data structures are used (hint: everywhere) and walk you through a few sample programming challenges. The programming challenges represent an important (and often the most difficult!) part of this specialization because the only way to fully understand an algorithm is to implement it. Writing correct and efficient programs is hard; please don’t be surprised if they don’t work as you planned—our first programs did not work either! We will help you on your journey through the specialization by showing how to implement your first programming challenges. We will also introduce testing techniques that will help increase your chances of passing assignments on your first attempt. In case your program does not work as intended, we will show how to fix it, even if you don’t yet know which test your implementation is failing on.
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Module 2: Introduction In this module you will learn that programs based on efficient algorithms can solve the same problem billions of times faster than programs based on naïve algorithms. You will learn how to estimate the running time and memory of an algorithm without even implementing it. Armed with this knowledge, you will be able to compare various algorithms, select the most efficient ones, and finally implement them as our programming challenges!
Module 3: Greedy Algorithms In this module you will learn about seemingly naïve yet powerful class of algorithms called greedy algorithms. After you will learn the key idea behind the greedy algorithms, you may feel that they represent the algorithmic Swiss army knife that can be applied to solve nearly all programming challenges in this course. But be warned: with a few exceptions that we will cover, this intuitive idea rarely works in practice! For this reason, it is important to prove that a greedy algorithm always produces an optimal solution before using this algorithm. In the end of this module, we will test your intuition and taste for greedy algorithms by offering several programming challenges.
Module 4: Divide-and-Conquer In this module you will learn about a powerful algorithmic technique called Divide and Conquer. Based on this technique, you will see how to search huge databases millions of times faster than using naïve linear search. You will even learn that the standard way to multiply numbers (that you learned in the grade school) is far from the being the fastest! We will then apply the divide-and-conquer technique to design two efficient algorithms (merge sort and quick sort) for sorting huge lists, a problem that finds many applications in practice. Finally, we will show that these two algorithms are optimal, that is, no algorithm can sort faster!
Modules 5 and 6: Dynamic Programming In this final module of the course you will learn about the powerful algorithmic technique for solving many optimization problems called Dynamic Programming. It turned out that dynamic programming can solve many problems that evade all attempts to solve them using greedy or divide-and-conquer strategy. There are countless applications of dynamic programming in practice: from maximizing the advertisement revenue of a TV station, to search for similar Internet pages, to gene finding (the problem where biologists need to find the minimum number of mutations to transform one gene into another). You will learn how the same idea helps to automatically make spelling corrections and to show the differences between two versions of the same text.

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Introduces basic time and memory complexity concepts, which are foundational to computer science
Teaches algorithmic efficiency, which is highly relevant to software development and data analysis
Establishes a strong foundation in algorithms and data structures, making it suitable for beginners
Covers topics like greedy algorithms and dynamic programming, which are essential for solving optimization problems
Taught by Alexander S. Kulikov, Neil Rhodes, Michael Levin, Pavel Pevzner, and Daniel Kane, all renowned experts in algorithms
Highly relevant to fields like software development, data analysis, and bioinformatics

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Reviews summary

Challenging algorithm design course

According to students, Algorithmic Design and Techniques is a challenging course. However, the programming assignments and testing are plentiful and rigorous. Students said that the lectures are generally clear and include useful slides. One student noted that the instructors have strong accents and sometimes gloss over important points.
Lectures are generally clear with useful slides.
"Lectures are mostly clear, well explained and provide useful downloadable slides."
Course offers ample programming assignments with rigorous testing.
"Plenty of programming assignments and rigorous testing of student submissions."
Course is challenging, especially if math background is weak.
"a lot more work than its authors claim"
"if you don't have a solid background in mathematics, you're likely to find those aspects of the syllabus poorly explained"

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 Algorithmic Design and Techniques with these activities:
Algorithm Review
Refresh prior knowledge of algorithms and data structures to enhance comprehension.
Browse courses on Algorithms
Show steps
  • Review basic concepts of algorithms (e.g., time complexity, recursion)
  • Recall common data structures (e.g., arrays, linked lists, trees)
  • Practice solving simple algorithmic problems
  • Participate in online discussions or forums to refresh understanding
Introduction to Algorithms by Thomas H. Cormen
Gain a comprehensive understanding of algorithms by reviewing a classic textbook.
Show steps
  • Acquire a copy of the book
  • Read the assigned chapters
  • Work through the practice exercises and problems
  • Summarize the key concepts and techniques covered in each chapter
  • Discuss the book with peers or a mentor to reinforce understanding
Algorithmic Study Notes
Organize and consolidate course materials to enhance retention and understanding.
Show steps
  • Review lecture notes, textbook chapters, and other course materials
  • Create a structured outline or mind map of the key concepts
  • Summarize and condense the information into concise notes
  • Include examples, diagrams, and practice questions for reinforcement
  • Regularly review and update the notes
Six other activities
Expand to see all activities and additional details
Show all nine activities
Dive into Dynamic Programming with GeeksforGeeks
Understand the concepts of dynamic programming through well-explained tutorials and examples.
Show steps
  • Visit the GeeksforGeeks Dynamic Programming page
  • Choose a tutorial or example that aligns with the course content
  • Read the tutorial or work through the example
  • Implement the discussed dynamic programming technique in your own code
  • Compare your implementation with the provided solutions
Peer Coding Sessions
Engage in collaborative programming sessions with peers to reinforce understanding and provide support.
Show steps
  • Find a peer who shares similar interests and skill levels
  • Schedule regular coding sessions to work on problems together
  • Take turns explaining concepts, solving problems, and providing feedback
  • Share resources and discuss best practices
  • Evaluate progress and adjust the sessions based on needs
LeetCode Practice
Solve algorithmic problems on LeetCode to improve critical thinking and problem-solving skills.
Show steps
  • Choose a LeetCode problem to solve
  • Analyze the problem statement and identify the key concepts
  • Design an efficient algorithm to solve the problem
  • Implement the algorithm in your preferred programming language
  • Submit your solution and review feedback
Algorithmic Blog
Enhance understanding by creating a blog that explains algorithmic techniques and shares code examples.
Show steps
  • Choose a topic related to the course material
  • Research and gather information on the topic
  • Write a well-structured blog post that explains the concepts clearly
  • Include code examples and visualizations to illustrate the algorithms
  • Publish the blog post and share it with peers for feedback
Implement Sorting Algorithms
Experiment with different sorting algorithms and practice implementing them efficiently.
Show steps
  • Choose a sorting algorithm to implement (e.g., bubble sort, selection sort, insertion sort)
  • Design the algorithm's steps in pseudocode
  • Implement the algorithm in your preferred programming language
  • Test your algorithm on different datasets and measure its time complexity
  • Compare the performance of your implementation with other popular sorting algorithms
Contribute to Open-Source Algorithm Projects
Gain practical experience and deepen understanding by contributing to open-source algorithmic projects.
Show steps
  • Identify open-source algorithm projects on platforms like GitHub
  • Read the project documentation and choose an area to contribute to
  • Implement a feature or fix a bug based on the project's guidelines
  • Submit a pull request and collaborate with the project maintainers
  • Review the feedback and make necessary revisions to your contribution

Career center

Learners who complete Algorithmic Design and Techniques will develop knowledge and skills that may be useful to these careers:
Software Engineer
As a Software Engineer, you will be tasked with many of the same assignments you will practice in this course. Here you will learn algorithmic techniques that will help you write efficient and scalable code. This will give you a head start in designing and implementing software that will meet the needs of end users.
Data Scientist
In the field of Data Science, you will likely use many of the techniques taught in this course on a daily basis. It will help you to develop solutions to a wide range of problems that involve data analysis and machine learning.
Machine Learning Engineer
As a Machine Learning Engineer, you will need to develop algorithms that can learn from data and make predictions. The techniques you will learn in this course will be essential for your success in this role.
Computer Scientist
This course may be helpful for Computer Scientists who want to learn more about algorithmic design and techniques. The concepts you will learn can be applied to a wide range of problems in computer science, including software development, data analysis, and machine learning.
Quantitative Analyst
As a Quantitative Analyst, you will use mathematical and statistical methods to analyze data and make predictions. The techniques you will learn in this course will give you a strong foundation for success in this role.
Operations Research Analyst
In the field of Operations Research, you will use mathematical and analytical methods to solve complex problems. The techniques you will learn in this course will help you to develop and implement solutions that can improve efficiency and productivity.
Business Analyst
As a Business Analyst, you will work with stakeholders to understand their needs and develop solutions that meet those needs. The techniques you will learn in this course will help you to gather and analyze data, and to develop and implement solutions that can improve business outcomes.
Data Analyst
In the field of Data Analytics, you will use data to identify trends and patterns, and to make predictions. The techniques you will learn in this course will give you a strong foundation for success in this role.
Statistician
As a Statistician, you will collect, analyze, and interpret data. The techniques you will learn in this course will give you a strong foundation for success in this role.
Economist
As an Economist, you will use data to analyze economic trends and make predictions. The techniques you will learn in this course will give you a strong foundation for success in this role.
Financial Analyst
As a Financial Analyst, you will use data to analyze financial trends and make predictions. The techniques you will learn in this course will give you a strong foundation for success in this role.
Market Researcher
As a Market Researcher, you will use data to analyze market trends and make predictions. The techniques you will learn in this course will give you a strong foundation for success in this role.
Survey Researcher
As a Survey Researcher, you will design and conduct surveys to collect data. The techniques you will learn in this course will give you a strong foundation for success in this role.
User Experience Researcher
As a User Experience Researcher, you will use data to analyze how users interact with products and services. The techniques you will learn in this course will give you a strong foundation for success in this role.
Interaction Designer
As an Interaction Designer, you will design and develop interactive products and services. The techniques you will learn in this course will give you a strong foundation for success in this role.

Reading list

We've selected six books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Algorithmic Design and Techniques.
Covers a wide range of algorithms, from basic data structures to advanced techniques, providing a comprehensive foundation in algorithm design and analysis.
A Java-focused resource that covers data structures and algorithms, with a strong emphasis on implementation and efficiency.
A concise and accessible introduction to algorithm design and analysis, with a focus on problem-solving and programming challenges.

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