Curriculum Algorithm Analysis & Theory
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A rigorous formal exploration of mathematical complexity bounds, optimization strategies, and computational limits.

TRACK STATUS:
Fully Verified
TOTAL CONTENT:
10 Modules / 100 Assessment Items
MODULE 01 10 MCQs

Introduction to Algorithm Analysis

What is an algorithm? Importance of Algorithm Analysis Measuring Performance: Time and Space Complexity Introduction to Asymptotic Notation (Big-O, Big-Theta, Big-Omega)
Active Module Quiz
MODULE 02 10 MCQs

Mathematical Foundations for Algorithm Analysis

Recursive and non-recursive Function Analysis Growth of Functions and Orders of Growth Recurrence Relations and Master Theorem Summations and Logarithms in Complexity Analysis
Active Module Quiz
MODULE 03 10 MCQs

Brute Force and String Searching/Matching Algorithms

Introduction to Brute Force Techniques String Matching Algorithms
Active Module Quiz
MODULE 04 10 MCQs

Decrease and Conquer Algorithms

Introduction of Decrease & Conquer and its Variants
Active Module Quiz
MODULE 05 10 MCQs

Divide and Conquer Algorithms

Concept and Use Cases Merge Sort and Quick Sort Strassen’s Matrix Multiplication
Active Module Quiz
MODULE 06 10 MCQs

Greedy Algorithms

Characteristics of Greedy Algorithms Minimum Spanning Tree Algorithms Dijkstra’s Shortest Path Algorithm Huffman Coding Algorithm
Active Module Quiz
MODULE 07 10 MCQs

Dynamic Programming

Overlapping Subproblems and Optimal Substructure Memoization vs. Tabulation Classic Problems: Fibonacci, Knapsack, Longest Common Subsequence
Active Module Quiz
MODULE 08 10 MCQs

Graph Algorithms

BFS and DFS Network Flow and Applications
Active Module Quiz
MODULE 09 10 MCQs

Genetic Algorithms

Overview of genetic algorithms
Active Module Quiz
MODULE 10 10 MCQs

NP-Completeness and Computational Complexity

P vs. NP Problem NP-Hard and NP-Complete Problems PSPACE and EXPTIME Complexity classes
Active Module Quiz