Design and Analysis of Algorithms

S5 B.Tech (CS / CD / CM / AM / CB / CN / CU / CG) • Exam-Focused Short Notes, Worked Problems & Formula Sheets

PCCST502 4 Credits CIE: 40 | ESE: 60 2024 Scheme

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Module 1

20 Pages • 11 Hrs

Algorithm Analysis, Recurrences & AVL Trees

Covers algorithm characteristics, time & space complexity (step count, tabular method), best/worst/average cases, asymptotic notations (O, Ω, Θ, o, ω), solving recurrences, and AVL tree rotations, insertions & deletions.

Asymptotic Notations Iteration & Recursion Tree Master's Theorem AVL Rotations (LL, RR, LR, RL)

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Module 2

18 Pages • 11 Hrs

Disjoint Sets, Graphs & Divide and Conquer

Detailed notes on Disjoint set operations (Union by rank & path compression), connected components, graph representations, BFS & DFS edge classifications, Kosaraju's SCC algorithm, topological sorting, Merge Sort, and Strassen's algorithm.

Union-Find BFS & DFS Analysis SCC & Topological Sort Merge Sort & Strassen's

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Module 3

18 Pages • 11 Hrs

Greedy Strategy, Dynamic Programming & Backtracking

Explores Greedy control abstraction, Fractional Knapsack, Kruskal's & Prim's MST, Dijkstra's shortest path, Dynamic Programming optimality principle, Matrix Chain Multiplication, Floyd-Warshall algorithm, and N-Queens backtracking.

Fractional Knapsack Kruskal, Prim & Dijkstra Matrix Chain & Floyd-Warshall N-Queens State Space Tree

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Module 4

17 Pages • 11 Hrs

Branch & Bound, Complexity Classes, Approximation & Randomized

Covers FIFO, LIFO & LC Branch and Bound, TSP using reduced cost matrices, Tractable vs. Intractable problems, P, NP, NP-Hard & NP-Complete classes, Clique & Vertex Cover proofs, Bin Packing heuristics, and Randomized Quick Sort.

TSP Reduced Matrix P, NP, NP-Hard, NP-Complete Clique & Vertex Cover Bin Packing & Rand QuickSort

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Contributor Spotlight

Special Thanks to Amal Dev

College of Engineering Attingal (CEAL) — for creating and sharing these well-structured, exam-oriented notes.

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Frequently Asked Questions

Do these notes strictly follow the KTU 2024 Scheme (PCCST502) syllabus?

Yes! Every module is organized section-by-section according to the official KTU S5 PCCST502 syllabus. Each PDF also includes a dedicated Formula Sheet and Likely Exam Questions table at the end tailored for the 3-mark (Part A) and 9-mark (Part B) KTU question paper pattern.

Are these direct PDF links without ads or waiting timers?

Yes! All four module links open directly in Google Drive so you can view them online or download them for offline study with zero wait time.

Which B.Tech branches share the PCCST502 course code?

Design and Analysis of Algorithms (PCCST502) is common to Semester 5 CS, CD, CM, AM, CB, CN, CU, and CG branches under the KTU 2024 scheme.