Class 11 Computer Science Chapter 3 Algorithms and Problem Solving Notes | Punjab Board PDF
Chapter-wise notes covering Computational Problems, Solvability & Complexity Classes (P, NP), Big O Time & Space Complexity, Algorithm Design (Divide & Conquer, Greedy, Dynamic Programming, Backtracking), Sorting (Bubble, Selection), Searching (Linear, Binary), and Graph Traversals (BFS, DFS) - with solved exercises, MCQs, short questions, and long questions aligned with PCTB / PECTAA syllabus for Class 11 HSSC / ICS Part 1 students.
Chapter Overview
Chapter 3 of Class 11 Computer Science introduces students to algorithmic thinking, computational problem formulation, and efficiency evaluation. It begins by distinguishing well-defined from ill-defined computational problems and introduces the generate-and-test approach for problem resolution. The chapter explores computational limits, contrasting solvable versus unsolvable problems and tractable versus intractable problems across standard complexity classes including P, NP, NP-hard, and NP-complete.
A vital component of the chapter is formal algorithm analysis using Big O asymptotic notation to measure time and space complexity. Students study core algorithm design techniques: divide and conquer, greedy methods, dynamic programming, and backtracking. Practical implementation is detailed through classic algorithms, including Bubble Sort and Selection Sort, Linear Search and Binary Search, as well as fundamental graph exploration methods like Breadth-First Search (BFS) and Depth-First Search (DFS).
For ICS Part 1 students taking annual examinations under Lahore, Rawalpindi, Gujranwala, Faisalabad, Multan, Bahawalpur, Sargodha, Sahiwal, or D.G. Khan boards, Chapter 3 is essential for answering algorithmic efficiency questions, step-by-step execution traces, and design technique comparisons. These notes provide complete textbook exercise solutions, solved multiple-choice questions, and clear conceptual explanations aligned with the 2026-2027 PCTB / PECTAA syllabus.