Free Course Image Introduction to algorithms

Free online courseIntroduction to algorithms

Duration of the online course: 30 hours and 53 minutes

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Discover MIT's free online course, Introduction to Algorithms, covering data structures, dynamic programming, sorting, searching techniques, and much more in IT.

In this free course, learn about

  • Foundations and Data Structures
  • Sets, Sorting, and Hashing
  • Linear Sorting and Hash-based Techniques
  • Balanced Trees and Heaps
  • Graph Traversal Fundamentals
  • Shortest Paths Algorithms
  • Dynamic Programming Techniques
  • Complexity, Reviews, and Course Wrap-up

Course Description

Welcome to "Introduction to Algorithms," a sought-after course with an outstanding 5-star rating. This comprehensive course, aimed at providing an in-depth understanding of algorithms, spans 35 hours and 19 minutes and falls under the Information Technology category, specifically focusing on Programming Logic. With an impressive array of topics and practical problem sessions, this course delivers a robust foundation in algorithms and computation.

Starting with the basics, the course introduces you to fundamental concepts in algorithms and their computational implications. The journey begins with an exploration of data structures and dynamic arrays, equipping you with the essential tools to understand higher-level algorithmic strategies.

In the early stages, you will delve into the asymptotic behavior of functions, learning to analyze and compare the efficiency of various algorithms. The course includes a practical problem session to reinforce your understanding of these concepts through double-ended problem-solving techniques.

As you progress, you will explore sets and sorting algorithms, gaining insights into how to efficiently organize and retrieve data. The topic of hashing will also be addressed, offering you a deep dive into one of the fastest data lookup methods available.

The course doesn't shy away from complex topics either. You'll engage with linear sorting algorithms and their applications, understanding their advantages and limitations. The concept of binary trees is thoroughly examined over two comprehensive parts, including a focused session on AVL trees, a type of self-balancing binary search tree.

Further along, the curriculum covers binary heaps and explores breadth-first search (BFS), a key algorithm for traversing and searching tree or graph data structures. Depth-first search (DFS) is also covered, offering another critical perspective on algorithmic problem-solving.

Weighted shortest paths, such as those solved by the Bellman-Ford and Dijkstra algorithms, are a highlight of the course. These topics are vital for anyone looking to understand pathfinding in weighted graphs. The All-Pairs Shortest Path (APSP) algorithm and Johnson's algorithm for sparse graphs are also discussed.

Dynamic programming, a method for solving complex problems by breaking them down into simpler subproblems, is covered extensively. You will learn and apply dynamic programming techniques across a variety of problems, from sequence alignment to coin change and longest common subsequence (LCS).

The course also touches on the principles of algorithmic complexity, preparing you for more advanced topics and helping you understand the boundaries and possibilities within the field of algorithmic problem-solving.

The grand finale involves a comprehensive course review and insights into the next steps in your algorithmic education. Whether you're a novice looking to get a solid grounding in algorithms or a seasoned programmer aiming to refine and expand your skills, this course offers unparalleled depth and quality.

Course content

  • Video class: 1. Algorithms and Computation 45m
  • Exercise: What is the primary focus of the Introduction to Algorithms class as outlined in the lecture?
  • Video class: 2. Data Structures and Dynamic Arrays 50m
  • Exercise: What operation can dynamic arrays perform in constant amortized time?
  • Video class: Introduction to Algorithms - Problem Session 1: Asymptotic Behavior of Functions and Double-ended... 1h26m
  • Exercise: _What is the purpose of the 6.006 problem sessions?
  • Video class: 3. Sets and Sorting 52m
  • Exercise: What is the time complexity of the merge sort algorithm?
  • Video class: 4. Hashing 52m
  • Exercise: _What is the set interface used for in the context of the lecture?
  • Video class: Problem Session 2 (MIT 6.006 Introduction to Algorithms, Spring 2020) 1h27m
  • Exercise: What is the runtime of the initial algorithm for determining the damage caused by each blow in the brick-blowing problem?
  • Video class: 5. Linear Sorting 51m
  • Exercise: _What is the problem with the direct access array?
  • Video class: Problem Session 3 1h26m
  • Exercise: How can hashing be used to solve problems in linear expected time?
  • Video class: 6. Binary Trees, Part 1 50m
  • Exercise: _What is the data structure that is almost superior to all data structures mentioned in the lecture?
  • Video class: 7. Binary Trees, Part 2: AVL 54m
  • Exercise: What is a key operation to achieve balanced binary trees?
  • Video class: Problem Session 4 1h29m
  • Exercise: What is the maximum height of a balanced binary tree with n nodes?
  • Video class: 8. Binary Heaps 50m
  • Exercise: What data structure allows efficient insertion and max deletion in logarithmic time with in-place sorting capability?
  • Video class: 9. Breadth-First Search 52m
  • Exercise: What is the main focus of the Breadth-First Search algorithm presented in the lecture?
  • Video class: Quiz 1 review 1h25m
  • Exercise: What type of problems will be evaluated in the quiz?
  • Video class: 10. Depth-First Search 52m
  • Exercise: _What is the definition of a graph?
  • Video class: 11. Weighted Shortest Paths 57m
  • Exercise: What is the sum of the weights from vertex A to vertex G in the weighted graph as described in the lecture?
  • Video class: Problem Session 5 1h28m
  • Exercise: _What is the definition of the radius of a graph in the context of the problem discussed in the lecture?
  • Video class: 12. Bellman-Ford 57m
  • Exercise: What algorithm can detect negative weight cycles in a graph?
  • Video class: 13. Dijkstra 57m
  • Exercise: Which algorithm is used to find shortest paths in a graph with non-negative weights and no negative cycles in O(E + V log V) time complexity?
  • Video class: 14. APSP and Johnson 56m
  • Video class: Quiz 2 Review 1h22m
  • Video class: 15. Dynamic Programming, Part 1: SRTBOT, Fib, DAGs, Bowling 57m
  • Video class: 16. Dynamic Programming, Part 2: LCS, LIS, Coins 58m
  • Exercise: _What are the natural subproblems to try if the input is a sequence in dynamic programming?
  • Video class: 17. Dynamic Programming, Part 3: APSP, Parens, Piano 1h03m
  • Exercise: _What is the reason why Bellman called dynamic programming "dynamic programming"?
  • Video class: 18. Dynamic Programming, Part 4: Rods, Subset Sum, Pseudopolynomial 1h03m
  • Video class: 19. Complexity 59m
  • Video class: Quiz 3 Review 1h24m
  • Video class: 20. Course Review 55m
  • Video class: 21. Algorithms—Next Steps 59m

This free course includes:

30 hours and 53 minutes of online video course

Digital certificate of course completion (Free)

Exercises to train your knowledge

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Course comments: Introduction to algorithms

Bobokulova Dilnoza

very good ????

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