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Note: This course is a subset of our much longer course 'From 0 to 1: Data Structures & Algorithms' so please don't sign up for both:-)

This is an animated, visual and spatial way to learn data structures and algorithms

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Note: This course is a subset of our much longer course 'From 0 to 1: Data Structures & Algorithms' so please don't sign up for both:-)

This is an animated, visual and spatial way to learn data structures and algorithms

  • Our brains process different types of information differently - evolutionarily we are wired to absorb information best when it is visual and spatial i.e. when we can close our eyes and see it
  • More than most other concepts, Data Structures and Algorithms are best learnt visually. These are incredibly easy to learn visually, very hard to understand most other ways
  • This course has been put together by a team with tons of everyday experience in thinking about these concepts and using them at work at Google, Microsoft and Flipkart

What's Covered:

  • Big-O notation and complexity
  • Stacks
  • Queues
  • Trees
  • Heaps
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What's inside

Learning objectives

  • Design and implement software that use fundamental data structures
  • Visualise - really vividly imagine - the common data structures, and the algorithms applied to them
  • Understand the trade-offs, complexity and use-cases for different types of container data structures

Syllabus

Strong Fundamentals: Data Structures!
You, This Course, and Us!
The stack is a very simple and easy to understand data structure. However it lies underneath many complicated real world problems and is incredibly useful.
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The queue belongs to the same linear data structure family as the stack but it's behavior is very different. Queues are much more intuitive as there are plenty of real world examples where a queue is the fair and correct way of processing.

We know the stack, and we know the queue. This problem brings them together. It's possible to mimic the behavior of a queue using 2 stacks in the underlying implementation. Let's write the most efficient code possible to make this work.

The binary tree is an incredibly useful hierarchical data structure. Many other, more complex data structures, use the binary tree as the foundation. Let's see what a binary tree looks like and learn some simple terminology associated with the tree.

Depth first traversal can be of 3 types based on the order in which the node is processed relative to it's left and right sub-trees. Pre-order traversal processes the node before processing the left and then the right sub trees.

Depth first traversal can be of 3 types based on the order in which the node is processed relative to it's left and right sub-trees.

In-order traversal processes the left subtree, then the node itself and then it's right sub trees. Post-order traversal processes the node *after* it's left and right subtrees.

The algorithms are all remarkably similar and very easy once you use recursion.

Insertion and Lookup are operations which are very fast in a Binary Search Tree. See how they work and understand their performance and complexity.

Find the minimum value in a binary search tree, find the maximum depth of a binary tree and mirror a binary tree. Learn to solve these problems recursively and see implementation details.

Check if a path from root node to leaf node has a specified sum, print all paths from the root node to all leaf nodes and find the least common ancestor for two nodes in a binary tree. Learn to solve these problems and understand the implementation details.

Priority Queues allow us to make decisions about which task or job has the highest priority and has to be processed first. Common operations on a Priority Queue are insertion, accessing the highest priority element and removing the highest priority element.

The Binary Heap is the best implementation of the Priority Queue.

The Binary Heap is logically a Binary Tree with specific constraints. Constraints exist on the value of a node with respect to it's children and on the shape of the tree. The heap property and the shape property determine whether a Binary Tree is really a Heap.

Let's build a real heap in Java!

The Binary Heap may logically be a tree, however the most efficient way to implement it is using an array. Real pointers from parent to child and from child to parent become implicit relationships on the indices of the array.

Traffic lights

Read about what's good
what should give you pause
and possible dealbreakers
Uses Java to implement data structures, which is valuable for learners seeking practical coding experience and for those preparing for technical interviews
Focuses on core data structures such as stacks, queues, trees, and heaps, allowing learners to quickly grasp fundamental concepts
Includes common interview questions related to stacks and queues, providing learners with targeted practice and problem-solving skills
Employs visual and spatial learning techniques, which can be especially helpful for learners who are new to data structures and algorithms
Involves building data structures from scratch, such as implementing a stack and a heap in Java, which reinforces understanding through practical application
Explores trade-offs, complexity, and use-cases for different data structures, which helps learners make informed decisions when designing software

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Reviews summary

Excellent visual introduction to data structures

According to learners, this course is a highly effective and overwhelmingly positive introduction to fundamental data structures. Students widely praise the course's unique visual and animated approach, noting how it makes complex concepts like Stacks, Queues, Binary Trees, and Heaps significantly easier to understand and internalize. The included Java code examples and implementations are frequently highlighted as beneficial for translating theory into practice. Many reviewers find it perfect for beginners or those needing a solid refresher before tackling interviews or more advanced topics. While the focus is on core fundamentals rather than deep dives or complex problems, the feedback emphasizes the course's clarity, engaging delivery, and success in building a strong foundational understanding through visualization.
Covers core structures, less on advanced topics.
"Great for the basics, but don't expect deep dives or very complex problems."
"It covers the main data structures needed for fundamentals well."
"Focuses on the core concepts, which is exactly what I needed."
Helpful preparation for technical interviews.
"Solidified concepts I needed for upcoming technical interviews."
"A good refresher to prepare for coding interview questions."
"Helped me understand the common data structures used in interviews."
Practical coding examples are helpful.
"The Java coding parts were useful for seeing how it works in practice."
"Appreciated the implementation details provided in Java."
"Coding along with the examples helped reinforce the concepts."
Explanations are easy to follow and understand.
"Everything was explained very clearly and simply."
"The lectures are concise and get straight to the point."
"Pace is just right, not too fast or slow."
"Instructor explains complex topics in an easy-to-digest way."
Provides a strong foundation for new learners.
"Perfect starting point if you're new to data structures and algorithms."
"Excellent introduction for beginners."
"This course built a really solid fundamental understanding for me."
"Highly recommend for anyone looking to learn data structures from scratch."
Animations make complex concepts easy to grasp.
"The animations were incredibly helpful and made it easy to understand."
"The visual explanations really solidify understanding of complex structures."
"This course's animated approach is a game-changer for learning data structures."
"Couldn't visualize stacks/queues before, but the animations cleared everything up."
"Seeing the data structures move and change visually was the key for me."

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 Byte-Sized-Chunks: Stacks, Queues, Binary Trees, Heaps with these activities:
Review Big-O Notation
Review Big-O notation to better understand the performance implications of different data structures and algorithms covered in the course.
Browse courses on Big-O Notation
Show steps
  • Read articles or watch videos explaining Big-O notation.
  • Practice determining the Big-O complexity of simple code snippets.
  • Review common Big-O complexities like O(1), O(log n), O(n), O(n log n), and O(n^2).
Review 'Data Structures and Algorithms in Java'
Review this book to gain a deeper understanding of the data structures covered in the course and their Java implementations.
Show steps
  • Read the chapters related to stacks, queues, trees, and heaps.
  • Study the Java code examples provided in the book.
  • Try implementing the data structures and algorithms yourself based on the book's explanations.
Implement Stack and Queue Operations
Practice implementing stack and queue operations to solidify understanding of their behavior and use cases.
Show steps
  • Implement push, pop, peek, and isEmpty operations for a stack.
  • Implement enqueue, dequeue, peek, and isEmpty operations for a queue.
  • Test your implementations with various inputs.
Four other activities
Expand to see all activities and additional details
Show all seven activities
Explore Binary Tree Traversal Algorithms
Seek out and follow tutorials to further refine skills in binary tree traversal algorithms.
Show steps
  • Find tutorials on in-order, pre-order, and post-order traversal.
  • Implement each traversal algorithm in your preferred language.
  • Visualize the traversal process on different binary trees.
Implement a Simple Expression Evaluator
Start a project to implement an expression evaluator using stacks to handle operator precedence and parentheses.
Show steps
  • Design the expression evaluator algorithm using stacks.
  • Implement the algorithm in your preferred programming language.
  • Test the evaluator with various expressions, including those with parentheses and different operator precedences.
Create a Visual Guide to Heaps
Create a visual guide explaining the concept of heaps, including their properties and operations, to solidify understanding and aid in retention.
Show steps
  • Research and gather information about heaps and their properties.
  • Create diagrams and illustrations to visually represent heaps and their operations.
  • Write clear and concise explanations to accompany the visuals.
  • Compile the visuals and explanations into a comprehensive guide.
Review 'Introduction to Algorithms'
Review this book to gain a deeper theoretical understanding of the algorithms related to the data structures covered in the course.
Show steps
  • Read the sections related to the data structures covered in the course.
  • Study the pseudocode and mathematical analysis of the algorithms.
  • Compare the book's approach to the course material to gain a broader perspective.

Career center

Learners who complete Byte-Sized-Chunks: Stacks, Queues, Binary Trees, Heaps will develop knowledge and skills that may be useful to these careers:
Algorithm Developer
An algorithm developer designs and implements algorithms for various applications, such as search engines, recommendation systems, and artificial intelligence. This course can be useful for algorithm developers as it covers essential data structures and algorithms. The course may help them to choose the most appropriate data structures for their algorithms and to optimize their performance. The discussions on stacks, queues, trees, and heaps may provide a solid foundation for developing efficient and scalable algorithms. An aspiring algorithm developer should take this course to deepen their understanding of data structures and their impact on algorithm design.
Software Engineer
A software engineer designs, develops, tests, and maintains software systems. This course may benefit software engineers by helping them to design efficient and effective data structures and algorithms in their software solutions. The course focuses on Big O notation and complexity, which are crucial for understanding and optimizing the performance of software applications. Understanding stacks, queues, trees, and heaps can improve the efficiency and scalability of your software. A software engineer should take this course to build a strong foundation in data structures and algorithms, enabling them to write better and more performant code.
Machine Learning Engineer
A machine learning engineer develops and deploys machine learning models. This course may be useful for machine learning engineers because understanding data structures is crucial for implementing and optimizing machine learning algorithms. This course's coverage of trees and heaps is particularly relevant, as these data structures are used in many machine learning algorithms. This course may help machine learning engineers to write more efficient and scalable machine learning code. A machine learning engineer seeking to improve their understanding of data structures and their applications in machine learning should take this course.
Blockchain Developer
A blockchain developer builds and maintains decentralized applications using blockchain technology. This course can be useful for blockchain developers as understanding data structures is crucial for working with blockchain data. The course may help blockchain developers to understand how data is stored and accessed on a blockchain. The discussions on trees and heaps may provide a solid foundation for developing efficient and secure blockchain applications. A blockchain developer who wants to deepen their understanding of data structures and their impact on blockchain design should take this course.
Data Engineer
Data engineers build and maintain the infrastructure for data storage, processing, and analysis. This course may assist data engineers by helping them to understand the data structures that underpin various data processing frameworks. Discussion of stacks and queues may assist with managing data pipelines and task scheduling. Learning about trees and heaps may provide insights into designing efficient data storage and retrieval systems. A data engineer should take this course to enhance their ability to design and implement scalable and efficient data infrastructure.
Data Architect
A data architect designs and oversees the implementation of data management systems. This role typically requires an advanced degree. This course may be useful for data architects in understanding how data structures impact the performance and scalability of data systems. The course's coverage of stacks, queues, trees, and heaps can help architects to make informed decisions about data storage, retrieval, and processing methods. A data architect should take this course to gain a deeper understanding of the data structures that underlie data management systems.
Embedded Systems Engineer
Embedded systems engineers design and develop software for embedded systems, such as those found in automobiles, appliances, and industrial equipment. This course may be useful for embedded systems engineers where resources are limited, making efficient data structures and algorithms essential. The course's coverage of stacks, queues, trees, and heaps can help embedded systems engineers to optimize code for performance and memory usage. An embedded systems engineer should take this course to improve their skills in designing efficient and reliable embedded software.
Game Developer
Game developers create video games for various platforms. This course may be very useful for game developers, as data structures and algorithms play a crucial role in game development. From managing game objects to implementing AI, a strong foundation in data structures is essential. This course's coverage of stacks, queues, trees, and heaps may help game developers to optimize game performance and create engaging gameplay experiences. A game developer should take this course to improve their skills in designing and implementing game mechanics and systems.
Data Scientist
A data scientist analyzes large datasets to extract meaningful insights and develop data-driven solutions. This course may be useful for data scientists in understanding the fundamental data structures that underpin many data science algorithms and techniques. The course's exploration of trees and heaps may be valuable for implementing and optimizing machine learning models. Learning about stacks and queues may help in managing and processing data efficiently. A data scientist who wants to improve their understanding of data structures and their applications in data analysis should take this course.
Mobile App Developer
Mobile app developers create applications for smartphones and tablets. This course may be very useful for mobile app developers, as mobile apps often have limited resources, making efficient data structures and algorithms essential. The course's coverage of stacks, queues, trees, and heaps can help mobile app developers to optimize app performance and create smooth user experiences. This course may help mobile developers to write more performant and responsive mobile applications. A mobile app developer who wants to improve their skills in designing efficient data structures for mobile apps should take this course.
Quantitative Analyst
A quantitative analyst, often working in the finance industry, develops and implements mathematical models for pricing, risk management, and trading strategies. Quantitative Analysts typically hold an advanced degree. This course may be useful for quantitative analysts as a strong foundation in data structures and algorithms is essential for building efficient and accurate models. The course's coverage of trees and heaps can be applied to optimizing search and sorting algorithms, which are frequently used in financial modeling. A quantitative analyst who wants to improve their algorithm design skills should take this course.
Systems Architect
A systems architect designs the overall structure and components of computer systems. This course may be beneficial for systems architects in understanding how data structures impact system performance and scalability. The course's coverage of Big O notation and complexity can help architects to make informed decisions about data storage and retrieval methods. Learning about stacks, queues, trees, and heaps may provide insights into designing efficient and reliable systems. A systems architect should take this course to gain a deeper understanding of the data structures that underpin system architecture.
Database Administrator
Database administrators are concerned with efficiently storing and retrieving data. This course may be useful for Database Administrators as an understanding of data structures, particularly trees and heaps, is essential for optimizing database performance. This course's discussion on stacks and queues may help in understanding how data is processed and managed within a database system. Learning about Big O notation and complexity can assist database administrators in identifying and resolving performance bottlenecks. A database administrator should take this course to gain insights into the underlying data structures that drive database efficiency.
Web Developer
A web developer designs and builds websites and web applications. While web development often involves higher-level frameworks, understanding fundamental data structures can be useful for optimizing performance and solving complex problems. This course's exploration of stacks and queues can be applied to managing website request processing and user sessions. The course may help web developers to write more efficient and scalable web applications. A web developer who wants to improve their understanding of data structures and their applications in web development should take this course.
DevOps Engineer
A DevOps engineer automates and streamlines the software development and deployment process. This course may be useful for DevOps engineers in understanding the data structures that underpin various deployment and monitoring tools. The course's discussion on queues may help in managing job queues and task scheduling. Learning about trees may provide insights into managing configurations and dependencies. A DevOps engineer who wants to improve their understanding of data structures and their applications in DevOps tools should take this course.

Reading list

We've selected two 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 Byte-Sized-Chunks: Stacks, Queues, Binary Trees, Heaps.
Known as CLRS, this book comprehensive textbook on algorithms. While it covers a vast range of topics, the sections on stacks, queues, trees, and heaps are highly relevant to this course. It provides rigorous analysis and mathematical foundations, making it suitable for students seeking a deeper understanding. is more valuable as additional reading for those seeking a more theoretical understanding.
Provides a comprehensive guide to data structures and algorithms using Java. It covers stacks, queues, trees, and heaps in detail, aligning perfectly with the course syllabus. The book's practical examples and clear explanations make it an excellent resource for understanding the implementation and application of these data structures. It commonly used textbook in undergraduate computer science courses.

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