AKTU Design and Analysis of Algorithm (BCS503) Handwritten Notes & Study Material PDF – B.Tech 3rd Year Sem 5

Complete handwritten and exam-oriented notes for AKTU B.Tech 3rd Year Semester V – Design and Analysis of Algorithm (BCS503). Covers all 5 units with algorithms, complexity analysis, sorting, advanced data structures, divide & conquer, greedy methods, dynamic programming, backtracking, branch and bound, NP-completeness, approximation and randomized algorithms, along with diagrams, code examples, solved problems and AKTU-pattern sample paper.

This comprehensive 156-page study material is designed around the BCS503 syllabus and presents concepts in a clear, handwritten, exam-ready format. It includes topic-wise explanations, diagrams, code examples, solved problems, unit summaries, glossaries, important questions and an AKTU-pattern sample question paper.

🎓 Course Details

• Subject: Design and Analysis of Algorithm
• Course Code: BCS503
• Year: 3rd Year
• Semester: V
• Course Type: Core Course
• Credits: 4
• Branches: CSE / Computer Science / Computer Engineering / Allied Branches
• Coverage: Complete 5-unit BCS503 syllabus

📚 Complete 5-Unit Coverage

🔹 UNIT I – Introduction & Sorting

Topics include:

• Introduction to Algorithms
• Characteristics and Properties of Algorithms
• Algorithm Analysis
• Time & Space Complexity
• Big-O, Omega & Theta
• Growth of Functions
• Performance Measurements
• Shell Sort
• Quick Sort
• Merge Sort
• Heap Sort
• Comparison of Sorting Algorithms
• Sorting in Linear Time
• Recurrence Relations
• Master Theorem

The notes also include worked examples for nested-loop complexity, asymptotic analysis, recurrence relations and sorting algorithms.

🔹 UNIT II – Advanced Data Structures

Covers:

• Red-Black Trees
• Red-Black Tree Insertion & Deletion
• Rotations
• B-Trees
• B-Tree Insertion & Splitting
• Binomial Heaps
• Fibonacci Heaps
• Tries
• Skip Lists

🔹 UNIT III – Divide & Conquer and Greedy Method

Includes:

• Divide and Conquer
• Sorting & Searching
• Strassen's Matrix Multiplication
• Convex Hull
• Greedy Method
• Optimal Reliability Allocation
• Fractional Knapsack
• Minimum Spanning Trees
• Prim's Algorithm
• Kruskal's Algorithm
• Single Source Shortest Paths
• Dijkstra's Algorithm
• Bellman-Ford Algorithm

🔹 UNIT IV – Dynamic Programming, Backtracking & Branch and Bound

Topics include:

• Dynamic Programming
• 0/1 Knapsack
• Warshall's Algorithm
• Floyd's Algorithm
• Resource Allocation
• Backtracking
• N-Queen Problem
• Sum of Subsets
• Hamiltonian Cycles
• Branch and Bound
• Travelling Salesman Problem
• Graph Coloring

🔹 UNIT V – Selected Topics

Covers:

• Algebraic Computation
• Fast Fourier Transform (FFT)
• String Matching
• Naive String Matching
• Knuth-Morris-Pratt (KMP)
• Rabin-Karp Algorithm
• Theory of NP-Completeness
• NP-Completeness Proofs & Reductions
• Approximation Algorithms
• Randomized Algorithms

⭐ What You Get

✅ 156 Pages Complete Handwritten Notes
✅ Complete 5-Unit BCS503 Coverage
✅ Topic-wise Detailed Explanations
✅ Algorithm Analysis
✅ Time & Space Complexity
✅ Big-O, Omega & Theta
✅ Recurrence Relations & Master Theorem
✅ Shell, Quick, Merge & Heap Sort
✅ Advanced Data Structures
✅ Red-Black Trees & B-Trees
✅ Binomial & Fibonacci Heaps
✅ Tries & Skip Lists
✅ Divide & Conquer
✅ Greedy Algorithms
✅ Prim's & Kruskal's Algorithms
✅ Dijkstra & Bellman-Ford
✅ Dynamic Programming
✅ 0/1 Knapsack
✅ Warshall & Floyd Algorithms
✅ Backtracking & Branch and Bound
✅ N-Queen, Graph Coloring & TSP
✅ FFT & String Matching
✅ KMP & Rabin-Karp
✅ NP-Completeness
✅ Approximation & Randomized Algorithms
✅ Diagrams & Illustrations
✅ Code Examples
✅ Solved Problems
✅ Unit-wise Summaries & Glossary
✅ Important Questions
✅ AKTU-Pattern Sample Question Paper

The index specifically lists unit summaries, glossaries, important questions and an AKTU-pattern sample question paper.