ICSE Class 11 Computer Applications | 12. Recursion by Pavan | Learn Smarter
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12. Recursion

Recursion is a programming technique where functions call themselves to solve smaller instances of a problem, breaking down complex issues into manageable parts. Key concepts include the base case, which halts recursion, and the recursive case, where the function calls itself. While recursion simplifies problem-solving for hierarchical structures, performance issues such as stack overflow may arise, necessitating careful consideration.

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Sections

  • 12

    Recursion

    Recursion is a programming technique in which a function calls itself to solve smaller instances of a problem, stopping when a base case is reached.

    Learning Practice

  • 12.1

    Introduction To Recursion

    Recursion is a programming technique where a function calls itself to solve problems by breaking them into smaller sub-problems.

    Learning Practice

  • 12.1.1

    What Is Recursion?

    Recursion is a programming technique where a function calls itself to solve a problem, breaking it into smaller instances until a base case is reached.

    Learning Practice

  • 12.1.2

    Why Is Recursion Important?

    Recursion is a crucial programming technique that simplifies problem-solving by breaking problems into smaller sub-problems.

    Learning Practice

  • 12.2

    How Recursion Works

    This section introduces the primary components of recursion, focusing on base cases and recursive cases, using the factorial function as a practical example.

    Learning Practice

  • 12.3

    Types Of Recursion

    This section introduces the two primary types of recursion - direct and indirect recursion, explaining their definitions and providing examples for each.

    Learning Practice

  • 12.3.1

    Direct Recursion

    Direct recursion occurs when a function directly calls itself, allowing problems to be solved through repeated invocations.

    Learning Practice

  • 12.3.2

    Indirect Recursion

    Indirect recursion occurs when a function calls another function that, in turn, calls the original function, creating a cyclical process.

    Learning Practice

  • 12.4

    Base Case And Recursive Case

    The base case and recursive case are critical components of recursion that define when a recursive function will stop and how it continues to call itself.

    Learning Practice

  • 12.5

    Recursion Vs Iteration

    This section compares recursion and iteration as methods for solving problems in programming, highlighting their differences and advantages.

    Learning Practice

  • 12.6

    Practical Examples Of Recursion

    This section explores practical examples of recursion, including problems like the Fibonacci series and the sum of natural numbers.

    Learning Practice

  • 12.7

    Recursion Tree

    Recursion trees visually represent the breakdown process of recursive function calls.

    Learning Practice

  • 12.8

    Performance Considerations

    This section discusses the performance implications of using recursion in programming, alongside strategies to optimize recursive functions.

    Learning Practice

  • 12.9

    Conclusion

    This section summarizes the critical elements of recursion in programming, emphasizing its importance and practical applications.

    Learning Practice

References

ca11-12.pdf

Class Notes

Memorization

What we have learnt

  • Recursion involves a functi...
  • A base case is essential to...
  • Though useful for hierarchi...

Final Test

Revision Tests