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Data Structures and Algorithms

EasyComputer Science13 chapters

Learn how to organize data efficiently. This course covers arrays, linked lists, hash tables, trees, heaps, sorting, graphs, and external memory structures with rigorous analysis.

What This Course Covers

Data Structures and Algorithms is structured into 13 chapters that build on each other progressively:

Chapter 1: Introduction and the Need for Efficiency▼
Chapter 2: Mathematical Foundations for Algorithm Analysis▼
Chapter 3: Array-Based Lists▼
Chapter 4: Linked Lists▼
Chapter 5: Hash Tables▼
Chapter 6: Binary Trees and Binary Search Trees▼
Chapter 7: Balanced Search Trees▼
Chapter 8: Heaps and Priority Queues▼
Chapter 9: Sorting Algorithms▼
Chapter 10: Graphs▼
Chapter 11: Skiplists▼
Chapter 12: Integer Data Structures▼
Chapter 13: External Memory and B-Trees▼

Each chapter combines interactive AI tutoring with hands-on examples. After you learn the material, Lambdio's spaced repetition algorithm schedules review sessions at optimal intervals — so you retain concepts and techniques long-term.

How to Study Data Structures and Algorithms on Lambdio

Lambdio's AI-powered platform adapts to how Computer Science courses are best learned. Here's our recommended approach:

Learning Mode
Standard Mode — for first-time learning of each chapter
Review Modes
Standard, Quiz — for spaced repetition reviews
Learning Priority
High Priority — controls how often the algorithm schedules reviews

Data Structures and Algorithms is a Computer Science course built from precise definitions, named structures, and running-time analyses, so it is learned best in Standard Mode. Each chapter introduces a data structure or algorithm, states the interface it implements, and derives its cost, and the AI tutor can present that material in order, walk through worked analyses such as amortized resizing or the expected length of a search path, name each theorem and its conditions, and check comprehension before the next structure is layered on. Socratic Mode, which withholds explanation and leads through questioning alone, is a poor fit for a subject this procedural and formulaic: no learner should have to rediscover binary-heap indexing, rotation-based balancing, merge-sort's recursion tree, or the comparison-sorting lower bound from scratch. Quiz Mode is the ideal companion, because progress depends on fluent recall of exact facts — the array layout of a heap, the dummy-node trick in a doubly-linked list, the difference between chaining and open addressing, the properties of a red-black tree, the running times of the sorting algorithms, and the O(n + m) bound for graph traversal. Set the priority to High, as the context guidance recommends for programming-heavy courses: the material is dense, cumulative, and full of terminology that later chapters reuse without re-explaining. In practice, learn each chapter in Standard Mode, reproduce the key analysis or implementation logic from memory, and use Quiz Mode between sessions to keep the definitions and costs sharp. Pair the course with Discrete Mathematics for the graph and proof theory, Python Programming, Intermediate Concepts to turn the structures into code, or Probability Theory for the randomization and expected-time analysis used throughout.

Interactive Quiz

Test your knowledge with these sample questions from the course. Tap an answer to see if you're right:

Q1: In a binary heap stored in an array, the left child of the element at index i is located at:
Q2: The expected length of a search path in a skiplist containing n elements is at most:
Q3: Merge-sort runs in which worst-case time for an array of n elements?
Q4: Any deterministic comparison-based sorting algorithm must perform at least how many comparisons in the worst case?
Q5: Both breadth-first search and depth-first search run in:
Q6: A red-black tree guarantees that:
Q7: A linear hash table resolves collisions using:
Q8: In an array-based stack that doubles its capacity when full, the amortized cost of a single resize per operation is:
Q9: A treap maintains which additional property beyond the binary search tree ordering?
Q10: The height of a B-tree storing n keys with branching parameter B is:

What You'll Be Able to Do After This Course

  • ✓Explain why the efficiency of data organization determines the feasibility of large-scale computation
  • ✓Distinguish interfaces from implementations and choose the appropriate abstract data type for a problem
  • ✓Use asymptotic, amortized, and expected analysis to compare the performance of data structures
  • ✓Apply the word-RAM model and probability tools such as linearity of expectation to algorithm analysis
  • ✓Implement array-based lists, queues, and deques and analyze their resizing costs
  • ✓Work with singly- and doubly-linked lists, sentinel nodes, and space-efficient block lists
  • ✓Build hash tables with chaining and open addressing and design effective hash codes
  • ✓Analyze and implement binary trees, their traversals, and binary search trees
  • ✓Balance search trees using randomization, partial rebuilding, and red-black rules
  • ✓Implement binary and meldable heaps for priority-queue applications
  • ✓Compare and implement merge-sort, quicksort, heap-sort, counting sort, and radix sort
  • ✓Prove the comparison-based sorting lower bound and identify when non-comparison sorting applies
  • ✓Represent graphs with adjacency matrices and lists and traverse them with breadth-first and depth-first search
  • ✓Implement skiplists for sets and indexed lists and reason about their expected costs
  • ✓Use tries and sampled tries for integer search in word-size-dependent time
  • ✓Design B-trees and B-plus-trees for external-memory and database workloads

Frequently Asked Questions

Do I need prior programming or advanced mathematics experience to take Data Structures and Algorithms?▼
Is this course mostly theory, or will I actually implement the data structures?▼
Is Data Structures and Algorithms suitable for AI tutoring, and which learning mode should I use?▼
How should I study the course, and in what order should I work through the chapters?▼
What can I do with Data Structures and Algorithms after finishing it?▼

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